If m+6 divided by 2 is 4 less than 4m. What is the value of m?

Answers

Answer 1

Answer:

Ok

Step-by-step explanation:

Answer 2
m = 2

(m+6)/2 = 4m-4
multiply each side by 2
m+6 = 8m-8
subtract m from both sides
6 = 7m-8
add 8 on both sides
14 = 7m
divide both sides by 7
2 = m

Related Questions

You have a set of 10 cards: five red and five blue. Each group of five colored cards is numbered one through five. What is the probability of drawing a red four and then a blue four, while replacing the card between the drawings?

1/100
1/10
1/20
1/90

Answers

The probability of drawing a red four and then a blue four is:

P = 1/100

How to get the probability?

We know that there are 10 cards in total, then the probability of drawing a red four (there is only one of these cards) is:

p = 1/10

Now we put the red four again, the probability of getting a red blue is computed in the same way:

q = 1/10

The probability for both events happening consecutively is:

P = p*q = (1/10)*(1/10) = 1/100

If you want to learn more about probability:

https://brainly.com/question/25870256

#SPJ1

Quick algebra 1 assignment for 50 points!
Only answer if you know the answer, tysm!



1. Create 5 questions referencing “Zeros and Intercepts”Below is an example of one.

——————————————————————

Example :


Given: h(x) = -2x + 10
What are the x-intercepts and y-intercepts of h?

a. x-intercepts of (0,5) and y-intercepts of (10,0)

b. x-intercepts of (10,0) and y-intercepts of (0,5)

c. x-intercepts of (5,0) and y-intercepts of (0,10)

d. x-intercepts of (0,10) and y-intercepts of (5,0)
——————————————————————

2. Answer each question and write a brief step by step process on how you got the answer to each of your questions.

Answers

y=-2x+10

x intercept:-

put y =0

-2x+10=0-2x=-10x=5

(5,0)

y intercept

put x=0

y=-2(0)+10y=10

(0,10)

option C

Question 1: Given a(x) = x + 5, what are the x-intercepts and y-intercepts of a?

a. x-intercept at (-5,0), y-intercept at (0,5)

b. x-intercept at (5,0), y-intercept at (0,-5)

c. x-intercept at (0,5), y-intercept at (5,0)

Answer: a

The x-intercept is the place where the graph touches the x-axis. Since the equation for the x-axis is just y=0, we can put in 0 for y to get it.

0 = x + 5

x = -5

Since x is -5 and y is 0, the x-intercept is at (-5,0).

The y-intercept is the place where the graph touches the y-axis. Since the equation for the y-axis is just x=0, we can put in 0 for x to get it.

y = 0 + 5

y = 5

Since x is 0 and y is 5, the y-intercept is at (0,5).

Question 2: Given b(x) = 2x + 1, what are the x-intercepts and y-intercepts of b?

a. x-intercept at (0.5, 0), y-intercept at (0, 2)

b. x-intercept at (-0.5,0), y-intercept at (0, 1)

c. x-intercept at (0, -0.5), y-intercept at (1,0)

Answer: b

The x-intercept is the place where the graph touches the x-axis. Since the equation for the x-axis is just y=0, we can put in 0 for y to get it.

0 = 2x + 1

x = -0.5

Since x is -0.5 and y is 0, the x-intercept is at (-0.5,0).

The y-intercept is the place where the graph touches the y-axis. Since the equation for the y-axis is just x=0, we can put in 0 for x to get it.

y = 2(0) + 1

y = 1

Since x is 0 and y is 1, the y-intercept is at (0,1).

Question 3: Given c(x) = 3x - 2, what are the x-intercepts and y-intercepts of c?

a. x-intercept at (-2,0), y-intercept at (0,2/3)

b. x-intercept at (0, 2), y-intercept at (3/2, 0)

c. x-intercept at (2/3, 0), y-intercept at (0, -2)

Answer: c

The x-intercept is the place where the graph touches the x-axis. Since the equation for the x-axis is just y=0, we can put in 0 for y to get it.

0 = 3x - 2

x = [tex]\frac{2}{3}[/tex]

Since x is 2/3 and y is 0, the x-intercept is at (2/3,0).

If the equation is in the form y = mx + b, the y-intercept will be b. The y-intercept also crosses the graph x = 0, so the y-intercept is (0, -2).

Question 4: Given d(x) = -x + 1, find the x-intercepts and y-intercepts of d.

a. x-intercept at (0, 1), y-intercept at (1,0)

b. x-intercept at (1, 0), y-intercept at (0, -1)

c. x-intercept at (1,0), y-intercept at (0,1)

Answer: c

The x-intercept is the place where the graph touches the x-axis. Since the equation for the x-axis is just y=0, we can put in 0 for y to get it.

0 = -x+1

x = -(-1) = 1

Since x is 1 and y is 0, the x-intercept is at (1,0).

If the equation is in the form y = mx + b, the y-intercept will be b. The y-intercept also crosses the graph x = 0, so the y-intercept is (0, 1).

Question 5: Given f(x) = -7x+5, find the x-intercepts and y-intercepts of f.

a. x-intercept at (-5/7, 0), y-intercept at (0, -7/5)

b. x-intercept at (5, 0), y-intercept at (0, 5/7)

c. x-intercept at (5/7, 0), y-intercept at (0, 5)

Answer: c

The x-intercept is the place where the graph touches the x-axis. Since the equation for the x-axis is just y=0, we can put in 0 for y to get it.

0 = -7x+5

x = -5/-7= 5/7

Since x is 5/7 and y is 0, the x-intercept is at (5/7,0).

If the equation is in the form y = mx + b, the y-intercept will be b. The y-intercept also crosses the graph x = 0, so the y-intercept is (0, 5).

Consider the graph of the function f(x)=2^x which statements describe key features of function g if g(x)=3f(x)?
it's multiple choice, select all the correct answers:

y-intercept at (0,1)
y-intercept at (0,3)
horizontal asymptote of y=3
x-intercept at (3,0)
horizontal asymptote of y=0
no x-intercept

Answers

Answer:

y-intercept at (0,3)horizontal asymptote of y=0no x-intercept

Step-by-step explanation:

The y-intercept of f(x) is (0,1), so the y-intercept of g(x) is (0,3).

f(x) has a horizontal asymptote at y=0. and so does g(x).

f(x) does not have an x-intercept, and neither does g(x).

Answer:

y-intercept at (0, 3)

horizontal asymptote of y = 0

no x-intercept

Step-by-step explanation:

Definitions

y-intercept: the point(s) at which the curve crosses the y-axis (when x=0).

x-intercept: the point(s) at which the curve crosses the x-axis (when y=0).

Asymptote: a line that the curve gets infinitely close to, but never touches.

Given function:

[tex]f(x)=2^x[/tex]

Properties of function f(x):

y-intercept at (0, 1)As x → -∞, y → 0 therefore there is a horizontal asymptote at y=0 and no x-intercept (since the curve never crosses the x-axis).As x → ∞, y → ∞

[tex]\textsf{If }g(x)=3f(x):[/tex]

[tex]\implies g(x)=3(2)^x[/tex]

Properties of function g(x):

y-intercept at (0, 3)As x → -∞, y → 0 therefore there is a horizontal asymptote at y=0 and no x-intercept (since the curve never crosses the x-axis).As x → ∞, y → ∞

Therefore the true statements are:

y-intercept at (0, 3)horizontal asymptote of y = 0no x-intercept

There are seven roads that lead to the top of a hill. How many different ways are there to reach the top and come back ( you dont have to go on the same road there and back)?

Answers

Answer:

49 different ways

Step-by-step explanation:

If there are seven roads that lead to the top, you have seven possible choices to go to the top of the hill.

Then, to come back to the start, you also have seven possible choices (seven roads), and you can pick any road.

So, if you have seven ways to go up and seven ways to go down, the number of different ways of going to the top and coming back is the product of these numbers of possible choices.

N(total) = N(up) * N(down)

N(total) = 7 * 7

N(total) = 49 different ways

Brainliest pls and tysm!

PLS HELP ME QUICKLY PLSSS IM BEGGINGG​

Answers

Answer:

Khan Academy.

Step-by-step explanation:

You can go on khan academy and search up "GRAPHS." The videos should immediately pop up. there are also lessons if you don't want to risk getting your problem wrong. If you are still confused and do not understand please just comment and I will respond.

Labor productivity is normally measured by Part 2 A. the educational level of workers. B. the change in the amount of leisure. C. dividing total real domestic output by the number of workers or by the number of labor hours. D. the percentage change in GDP.

Answers

Labor productivity is normally measured by (c) dividing total real domestic output by the number of workers or by the number of labor hours.

What is Labour productivity?The total volume of production (measured in terms of Gross Domestic Product, GDP) produced per unit of labor (measured in terms of the number of employed workers or hours worked) during the course of a specific time reference period is what is referred to as labor productivity.Divide the total output by the total labor hours to find the labor productivity of a nation.

What is labour productivity in India?

A measurement of labor output is labor productivity. Hourly productivity metrics are used. The actual Gross Domestic Product (GDP) produced by labor in an hour is what is referred to as labor productivity in macroeconomics. An important component of a business's overall growth is labor productivity.

Learn more about labour productivity

brainly.com/question/16690539

#SPJ4

The slope of the line is -2 use the coordinates (4,-6) to find the point-slope equation of the line

Answers

Answer: [tex]y+6=-2(x-4)[/tex]

Step-by-step explanation:

See attached image.

identify the steps for proving AD ==DC

Answers

Answer:

using pythagoras theorem

Which pairs of triangles appear to be congruent? Check all that apply. 2 A. Triangles 1 and 2 B. Triangles 2 and 3 C. Triangles 1 and 4 D. Triangles 1 and 3 E. Triangles 3 and 4 Triangles 2 and 4 A​

Answers

Pairs of triangles appear to be congruent are :

Triangles 2 and 3. Option B

Triangles 2 and 4. Option D

Triangles 3 and 4. Option E

What are congruent triangles?

Congruent triangles can be defined as the pairs of triangles with same measurement

Triangles 2 and 3 :

After observing triangles 2  and  3  it appears that triangle  is congruent to triangle  .

Option C

Triangles 2 and 4

After observing triangles 2  and 4   it appears that triangle 2 is congruent to triangle 4 .

Option D

E. Triangles 3 and 4

After observing triangles 3  and 4. They are congruent

Option E

Hence, Option B, D and E are correct of the triangles

Learn more about congruent triangles here:

https://brainly.com/question/1675117

#SPJ1

Answer:

Triangles 3 and 4
Triangles 1 and 4
Triangles 1 and 3

Step-by-step explanation:

if this is wrong tell me so i can edit the answer, but this is what i got

When tariq woke up this morning, the temperature was 0 degrees. the temperature rose 23 degrees in the afternoon, the temp decreesed in the evniing. and it was 11 degrees when tariq went to bed. what integer represents the temp when tariq went to bed?

Answers

The final temperature at the time Tariq goes to bed was +12 degrees, represented as integers.

The initial temperature of the day was 0 degrees.

The temperature rose 23 degrees in the afternoon.

This implies that we move +23 on the scale, represented as an integer.

The temperature decreased 11 degrees in the evening.

This implies that we move -11 on the scale, represented as an integer.

This moves the temperature to +23 -11 = +12 degrees, represented as an integer.

Thus, the final temperature at the time Tariq goes to bed was +12 degrees, represented as integers.

Learn more about integers at

https://brainly.com/question/25421984

#SPJ4

What is the approximate number of minutes that avery spends in extra circular activities

Answers

The approximate number of minutes that Avery spends on the extra curricular activities are 122 minutes.

Given that Avery spent 10 minutes outside, 64 minutes in riding her bike, 48 minutes on the trampoline.

We have to calculate the approximate time that Avery spends on extra curricular activities.

Time spent by Avery outside=10 minutes

Time spent by Avery in riding her bike=64 minutes

Time spent by Avery on trampoline=48 minutes

Total time spent by Avery on extra curricular activities is equal to 10+64+48

=122 minutes

Hence the total time spent by Avery on extra curricular activities is 122 minutes.

Learn more about sum at https://brainly.com/question/542712

#SPJ4

Question is incomplete as the question should include that Avery spent 10 minutes outside,64 minutes in riding her bike, 48 minutes on trampoline and rest of the time in swimming.

The illustration below shows the graph of yyy as a function of xxx.
Complete the following sentences based on the graph.
The slope of the graph of the function is equal to
for xxx between x=-3x=−3x, equals, minus, 3 and x=-2x=−2x, equals, minus, 2.
The slope of the graph is equal to
for xxx between x=3x=3x, equals, 3 and x=4x=4x, equals, 4.
The greatest value of yyy is y=\:y=y, equals
.
The smallest value of yyy is y=\:y=y, equals
.

Answers

The slope of the graph of the function is equal to 0 for x between x = -3 and x = -2.The slope of the graph of the function is equal to 0 for x between x = 3 and x = 4.The greatest value of y is y = 4.The smallest value of y is y = -3.

How to complete the sentences?

By critically observing the graph shown in the image attached below, we can logically deduce that the slope of the graph of this function is equal to 0 for x, between x = -3 and x = -2.

Similarly, the slope of the graph of this function is also equal to 0 for x, between x = 3 and x = 4.

Based on the graph (see attachment), the greatest value of y is 4 while the smallest value of y is -3.

Read more on slope here: brainly.com/question/3493733

#SPJ1

6x^2-19xy-7y^2 HELP ME PLS??

Answers

Answer:

(3x+y) (2x-7y)

Step-by-step explanation:

first write -19xy as a difference and you get 6x^2+2xy-21xy-7y^2

and then take the factor 2x from the expression that is 2x(3x+y) and do the same with the -7 that is = -7(3x+y). So this is you answer= (3x+y)(2x-7)

Can someone help me please

Answers

Answer:

The slope of the line segment CD is ( - [tex]\frac{8}{9}[/tex] )

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

Coordinates of the midpoint are

( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )

The slope of a line segment with coordinates of the ends

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

is m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

~~~~~~~~~~~~~

Point D is the midpoint of a segment AB

A ( 4 , 12 )

B ( - 6 , - 8 )

( [tex]\frac{-6+4}{2}[/tex] , [tex]\frac{-8+12}{2}[/tex] ) = ( - 1 , 2 )

D ( - 1 , 2 )

C ( 8 , - 6 )

[tex]m_{CD}[/tex] = [tex]\frac{-6-2}{8-(-1)}[/tex] = - [tex]\frac{8}{9}[/tex]

hi can you please help me

Answers

Answer:

See attached image

Step-by-step explanation:

I'm uncertain as to the "best statement."  None seem to accurately describe the situation. I picked the one that was least incorrect (if that makes any sense).

In order for a gear to work in a piece of machinery, the radius of the gear, r, must be greater than 4 cm, but not exceed 4.1 cm. Which compound inequality represents the situation?
r > 4 and r ≤ 4.1
r > 4 or r ≤ 4.1
r < 4 and r ≥ 4.1
r < 4 or r ≥ 4.1

Answers

The compound inequality represents the situation is r > 4 and r ≤ 4.1

Compound inequalityRadius of the gear = r

r must be greater than 4 cm

r > 4

r must not exceed 4.1 cm

r ≤ 4.1

Therefore, r > 4 and r ≤ 4.1 is the compound inequality which represent the situation.

Learn more about compound inequality:

https://brainly.com/question/234674

#SPJ1

Its A: r > 4 and r ≤ 4.1

(4) A taxi service charges Rs.100 as an initial fee and Rs.50 for each kilometer travelled. Write an algebraic expression for the total amount that has to be paid for a journey of x meters.​

Answers

Answer:

f(x) = 50x + 100

Explanation:

The term "Rs. 100" is constant. The term "Rs. 50" keeps changing per km.

Linear equation: y = mx + b, where 'm' is rate of change, 'b' is constant

Equation built:

f(x) = 50x + 100

This will determine the cost for journey of x meters.

please help me with this im struggling

Answers

Answer:   3.6 cm

=======================================================

Explanation:

Triangle ABC is similar to triangle DEF. The order of the lettering is important because it tells us how the letters pair up.

A and D are the 1st letters, so they pair upB and E are the 2ndletters, so that's another pairC and F are the 3rd letters, which is the final pair of points

Based on that, we can determine how the segments pair up

AB and DE correspond to each other. The segments are composed of the 1st and 2nd points.BC and EF correspond as well. The segments use the 2nd and 3rd points.AC and DF correspond also. They use the 1st and 3rd points.

We want to find how long EF is, which means we'll involve BC = 17 since it is paired with it.

The diagram shows that AC = 14 and DF = 3, which is another pair we'll use

--------------------------

The key takeaway is that

AC = 14 and DF = 3 pair up togetherBC = 17 and EF also pair up together

Those two facts lead to the steps below

[tex]\frac{AC}{DF} = \frac{BC}{EF}\\\\\frac{14}{3} = \frac{17}{EF}\\\\14*EF = 3*17\\\\14*EF = 51\\\\EF = \frac{51}{14}\\\\EF \approx 3.642857\\\\EF \approx 3.6\\\\[/tex]

The proportion in step 1 is valid due to the similar triangles, and because of the corresponding side pairs mentioned. In step 3, I cross multiplied.

Answer:

3.6 cm

Step-by-step explanation:

Similar Triangle Theorem

If two triangles are similar, the ratio of their corresponding sides is equal.

Given triangles:

ΔABC and ΔDEF

Therefore the corresponding sides are:

AC and DF, BC and EF, AB and DE

To find the measure of side EF, use the Similar Triangle Theorem:

[tex]\implies \sf AC:DF=BC:EF[/tex]

[tex]\implies \sf \dfrac{AC}{DF}=\dfrac{BC}{EF}[/tex]

[tex]\implies \sf \dfrac{14}{3}=\dfrac{17}{EF}[/tex]

[tex]\implies \sf EF=17 \cdot \dfrac{3}{14}[/tex]

[tex]\implies \sf EF=\dfrac{51}{14}[/tex]

[tex]\implies \sf EF=3.642857...[/tex]

[tex]\implies \sf EF=3.6\:cm\:\:(nearest\:tenth)[/tex]

Learn more about similar triangles here:

https://brainly.com/question/26226516

If the discriminant of a quadratic equation is 2, then the equation has Select an answer . If the discriminant of a quadratic equation is 4, then the equation has Select an answer . If the discriminant of a quadratic equation is 0, then the equation has Select an answer .

Answers

What is the definition of discriminant?In mathematics, the discriminant of a polynomial is a quantity that depends on the coefficients and allows deducing some properties of the roots without computing them. More precisely, it is a polynomial function of the coefficients of the original polynomial.

1) If the discriminant is greater than 0, the quadratic equation has 2 real solutions. Here D is grater than 0 . the quadratic equation has two real, distinct (different) roots.

2) If the discriminant of a quadratic equation is 4, then there are two real roots.

3) A discriminant of zero indicates that the quadratic has a repeated real number solution. A negative discriminant indicates that neither of the solutions are real numbers.

Learn more about discriminant of a quadratic equation

brainly.com/question/17376136

#SPJ4

A rectangular-prism-shaped toy chest is 2 \text { m}2 m2, start text, space, m, end text by 1 \text { m}1 m1, start text, space, m, end text by 1 \text { m}1 m1, start text, space, m, end text. A shipping crate is packed with 181818 of these toy chests. There is no extra space in the crate.

Answers

The volume of the shipping crate is 36 m per cube.

According to the statement

we have given that the

A rectangular-prism-shaped toy chest is 2 m by 1 m by 1 m. A shipping crate is packed with 18 of these toy chests.

And we have to find the volume of the crate.

So,

volume of toy = 2*1*1

Volume of toy = 2 meter per cube.

And Now,

The volume of shipping crate = Volume of one toy* total number of toys in crate

so, Substitute the values in the formula then

The volume of shipping crate = Volume of one toy* total number of toys in crate

The volume of shipping crate = 2*18

The volume of shipping crate = 36 m per cube.

So, The volume of the shipping crate is 36 m per cube.

Learn more about Volume here https://brainly.com/question/1972490

#SPJ4

Which equation is the inverse of 5y+4= (x+3)² +?
1
6 11
10
O y = x² +/
1/2 X+
7
Oy=3± √√5x+2
O-5y-4 = -(x+3)²--1/2
7
O y=-3± √√5x+2

Answers

Answer:

-5y-4=-(x+3)2-1/(2)

Step-by-step explanation:

ANSWER: It's D

Have a great day!!!

Does this graph represent a function? What is the domain and range of the graph? On a coordinate plane, a line goes through (negative 2, 2) to (0, 0) and another line goes from (0, 0) through (2, 2).

a. Yes; domain: all real numbers; range: y = 0
b. Yes; domain: all real numbers; range: y greater-than-or-equal-to 0
c. No; domain: all whole numbers; range: y less-than-or-equal-to 0
d. Yes; domain: all real numbers; range: y greater-than 0

Answers

The domain and the range of the function are given as follows:

b. Yes; domain: all re.al numbers; range: y greater-than-or-equal-to 0.

What are the domain and the range of a function?

The domain of a function is the set that contains all the values of the input.The range of a function is the set that contains all the values of the output.

Since each input is related to only one output values, the graph is a function. It is defined for all values of x, assuming only non-negative values, hence the correct option is:

b. Yes; domain: all re.al numbers; range: y greater-than-or-equal-to 0.

More can be learned about the domain and the range of a function at https://brainly.com/question/10891721

#SPJ1

in a recent survey,55% of cell phone owners said they text messages.what fraction of cell phone owners is this

Answers

Answer:

11/20

Step-by-step explanation:

55% = 55/100

by simplifying this fraction (divide top and bottom by 5), you get 11/20

The graphs below have the same shape. What is the equation of the red
graph?

Answers

Answer:

[tex]G(x) = 6-x^{4}[/tex]

Step-by-step explanation:

The red graph is the blue graph translated up 3 units, so the answer is [tex]G(x) = 6-x^{4}[/tex].

Determine the period.

Answers

Answer:

[tex]5 \cos( \frac{2\pi x}{7} ) [/tex]

The period of the given graph is 2π.

A period is the amount of time between two waves, whereas a periodic function is one whose values recur at regular intervals or periods. In other terms, a periodic function is one whose values recur after a specific interval.

This specific time span indicated above is the function's period.

The length of one function wave is referred to as the period.

The sine and cosine functions have a period of 2π radians, or 360 degrees. The period of the tangent function is π radians, or 180 degrees.

Learn more about period here:

https://brainly.com/question/27984797

#SPJ1

In 2015, around ____ percent of the world’s population had an internet connections.

Answers

Around 43% of the worlds population had an internet connection

A number with 100 digits is given. the first two digits of that number are 2 and 9 . how many digits has a square of that number?

Answers

The square of the given number will have 199 digits.

How to find the number digits in the square of the given number?

A number with hundred digits is given.

The first two digits of the given number are 2 and 9.

We can use the following formula to find the total number of digits in the square of a number.

2n - 1

Where n is the total number of digits in the given number.

Let us take a number with 2 digits:

29*29 = 841     { 2*2 - 1 = 3}

We can see that the square of the 2-digit number has 3 digits in it.

Let us take a number with 3 digits:

299*299 = 89401     { 2*3 - 1 = 5}

We can see that the square of the 3-digit number has 5 digits in it.

Similarly, we can find the number of digits in the square of a 100-digit as shown below:

2n - 1 = 2*100 - 1

= 200 - 1

= 199

Therefore, we have found that the square of the given number will have 199 digits.

Learn more about the digits in a square here: https://brainly.com/question/11443860

#SPJ4

A(n) _________is an equation satisfied by every number that is a meaningful replacement for the variable

Answers

The correct answer is identity

The function f(x) is shown in the graph.

Which type of function describes f(x)?

a) Exponential
b) Logarithmic
c) Rational
d) Polynomial

Answers

The function that describes the graph is an exponential function

How to determine the function type?

From the graph, we have the following highlights:

Initially, when x increases; y seem not to increaseThen, x and y increase at the same timeFinally, y increase and x seem not to increase

The above is the description of an exponential function

Hence, the function that describes the graph is an exponential function

Read more about exponential function at:

https://brainly.com/question/11464095

#SPJ1

A couple quick algebra 1 questions for 50 points!

Only answer if you know the answer, quick shout-out to Subtomex0, tysm for the help!

Answers

Answer:

[tex]\textsf{2.} \quad y=\dfrac{35}{x}[/tex]

[tex]\textsf{3.} \quad y=-\dfrac{90}{x}[/tex]

[tex]\textsf{4.} \quad y=\dfrac{63}{x}[/tex]

[tex]\textsf{5.} \quad y=-\dfrac{112}{x}[/tex]

Step-by-step explanation:

If y is inversely proportional to x, then:

[tex]y \propto\dfrac{1}{x} \implies y=\dfrac{k}{x} \quad \textsf{(for some constant }k)[/tex]

Question 2

Substitute one of the given ordered pairs into the inverse variation equation and solve for k:

[tex]\implies 7=\dfrac{k}{5}[/tex]

[tex]\implies 7 \cdot 5=\dfrac{k}{5} \cdot 5[/tex]

[tex]\implies k=35[/tex]

Substitute the found value of k into the formula to create the inverse variation equation for the given ordered pairs:

[tex]\implies y=\dfrac{35}{x}[/tex]

Question 3

Substitute y = -15 and x = 6 into the formula and solve for k:

[tex]\implies -15=\dfrac{k}{6}[/tex]

[tex]\implies -15 \cdot 6=\dfrac{k}{6} \cdot 6[/tex]

[tex]\implies k=-90[/tex]

Substitute the found value of k into the formula to create the inverse variation equation for the given values:

[tex]\implies y=-\dfrac{90}{x}[/tex]

Question 4

Substitute one of the given ordered pairs into the inverse variation equation and solve for k:

[tex]\implies 9=\dfrac{k}{7}[/tex]

[tex]\implies 9 \cdot 7=\dfrac{k}{7} \cdot 7[/tex]

[tex]\implies k=63[/tex]

Substitute the found value of k into the formula to create the inverse variation equation for the given ordered pairs:

[tex]\implies y=\dfrac{63}{x}[/tex]

Question 5

Substitute one of the given ordered pairs into the inverse variation equation and solve for k:

[tex]\implies -16=\dfrac{k}{7}[/tex]

[tex]\implies -16 \cdot 7=\dfrac{k}{7} \cdot 7[/tex]

[tex]\implies k=-112[/tex]

Substitute the found value of k into the formula to create the inverse variation equation for the given ordered pairs:

[tex]\implies y=-\dfrac{112}{x}[/tex]

Learn more about inverse variation here:

https://brainly.com/question/27953000

Other Questions
in 2009 the average weekly wage of men exceeded that of a woman by $162. the sum of their average wages equaled $1476. write and solve a system of equations to determine the average wage of men and of women in 2009 5. When you preview a novel, what should you look at? Select all correct answers.the author's namethe chapter titlesthe title and cover imagethe last page of novel 6. Find the slope of the graphed line (-5,7) (0,4.5) Which scenario describes a child in the prealphabetic phase?a. a child who responds "Meow!" when asked, "What is the first sound in cat?"b. a child who sees the word fast and sounds it out accuratelyc. a child who sees the word inactive and figures out that it means "not active"d. a child who comes across the new word house but reads it as horse [tex]6+\frac{3}{x+1}[/tex] When you write in an academic context, youre expected to state your main point explicitly, often in a ConclusionThesis statementPoint of Evidence Body Paragraph Ellie is 1.75 meters tall. At 3 p.m., she measures the length of a tree's shadow to be 20.25 meters. She stands 16.2 meters away from the tree, so that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter. How do you solve for nominal interest rate? How does scarcity affect consumers example? Why was the series of battles important for the colonists? male cycladic figurines can be described as _________. Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options. 18 x minus 15 = 72 50 x minus 25 = 72 18 x minus 9 = 72 3 (6 x minus 3) = 72 x = 4.5 Trevor's Cafe has regular coffee and decaffeinated coffee. This morning, the cafe served 5 coffees in all, 4 of which were regular. What percentage of the coffees were regular? Write your answer using a percent sign (%) In Drosophila, a female fly is heterozygous for three mutations, Bar eyes (B), miniature wings (m), and ebony body (e). Note that Bar is a dominant mutation. The fly is crossed to a male with normal eyes, miniature wings, and ebony body. The results of the cross are as follows. 111 miniature 101 Bar, ebony29 wild type 31 Bar, miniature, ebony 17 Bar 35 ebony 26 Bar, miniature 115 miniature, ebonyInterpret the results of this cross. If you conclude that linkage is involved between any of the genes, determine the map distance(s) between them. Find all the missing side and angles < p Qu sugiere sobre el contexto histrico europeo en el que escribi Hernn Corts el nfasis que Corts pone en describir el uso de estrategia?A) El control absoluto de la reina sobre las acciones de CortsB) El inters humanista en entender la vida de los indgenasC) La nueva confianza en la cienciaD) La creciente fe religiosa Why cant astronomers take a picture of a black hole?Gravity is so strong that even light cannot escape a black hole.The nearest black hole is too far away to be seen.There is no way to detect the locations of black holes.Black holes are too large to photograph. I really need with with this biology questions. In the triangle below, with right angle Q, suppose that m/R= (3x+2) and m/S= (2x+18).Find the degree measure of each angle in the triangle. A hot-water heater is operated by solar power. If the solar collector has an area of 5.8 m2 and the power delivered by sunlight is 550 W/m2, how long will it take to increase the temperature of 1.0 m3 of water from 25C to 57C?