slope = - 3/2; passes through (-4, 7)

Answers

Answer 1

Answer:

[tex]y=-\frac{3}{2}x+1[/tex]

Step-by-step explanation:

The equation of a line in slope-intercept form is:

[tex]y=mx+b[/tex]

Each variable represents:

"y" - y coordinate for any point on the line

"m" - slope of the line

"x" - x coordinate for any point on the line

"b" - y-intercept of the line (where the line intercepts the y-axis)

Given:

Slope = -3/2

Passes through (-4, 7) --> x = -4, y=7

Find:

y-intercept

Let's substitute the given information into the equation:

[tex]y=mx+b\\7=-\frac{3}{2}(-4)+b\\7=-\frac{-12}{2}+b\\7=-(-6)+b\\7=6+b\\$Subtract 6 from both sides\\$b=1[/tex]

Therefore the final equation is:

[tex]y=-\frac{3}{2}x+1[/tex]


Related Questions

what is ⅓ of nine times a half of 10​

Answers

Answer:

15

Step-by-step explanation:1 third of 9 is 3. Half of 10 is 5. Multiply 5 by 3. It is now 15.

Answer:

15

Step-by-step explanation:

Work backwards:

half of 10 = 10 ÷ 2 = 5

so ... nine times half of 10 = 9 × 5 = 45

so  ... of nine times half of ten = ⅓ of 45 = 45 ÷ 3 = 15

3v + 11 = 50 what’s the answer ?

Answers

Answer:

v=13

Step-by-step explanation:

3(13) = 39+11 = 50

Answer:

Our main goal is to isolate the variable here (v).

And if we want to solve this equation,

we must utilize inverse operations.

Given that:-

3v + 11 = 50

We always first get rid of the constants.

And in this case, 11 is our constant.

So the inverse operation of addition is subtraction (because 11 is being added)

-11        -11

3v = 39

Now, we are left with a co-efficient.

To isolate v, we must apply the inverse operation of multiplication which is division (because 3 and 'v' are being multiplied).

/3     /3

V = 13

whats the area of square with base b=5cm

Answers

Answer:

Solution

A=a2=52=25cm²

Step-by-step explanation:

[tex]\qquad \huge \underline{\boxed{\sf ǟռֆաɛʀ }}[/tex]

Area of a square is :

[tex] \qquad \sf  \dashrightarrow \: side {}^{2} [/tex]

that is ~

[tex]\qquad \sf  \dashrightarrow \: {b}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: {5}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: {25}^{} \: cm {}^{2} [/tex]

Which function is graphed below? On a coordinate plane, a curve goes has a maximum point at 1 and a minimum point at negative 1. It crosses the y-axis at (0, 1) and increases through the y-axis. f(x) = cos(x) f(x) = –cos(x) f(x) = sin(x) f(x) = –sin(x)

Answers

Answer:

A. f(x) = cos(x)

Step-by-step explanation:

This is option A because the cos(x) has a y-intercept of (0, 1) only.

See attached to compare with other options.

Answer: A

Step-by-step explanation:

Edge 2025

Which graph represents the inequality, StartFraction (x minus 2) squared Over 25 EndFraction minus StartFraction (y minus 1) squared Over 9 EndFraction less-than 1?.

Answers

Inequalities help us to compare two unequal expressions, while a graph is a visual representation of points, lines, line segments, curves, or regions.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

What is a graph?

A graph is a visual (such as a sequence of one or more points, lines, line segments, curves, or regions) that depicts the fluctuation of one or more variables in contrast to another.

The graph of the inequality can be written in the following manner as shown below.

Learn more about Inequality:

https://brainly.com/question/19491153

Answer:

c

Step-by-step explanation:

got it right on edge

Can you please help me!! I will give you brainly!​

Answers

Answer:

Skewed

Step-by-step explanation:

Which of the following best represents the average rate at which a person can quickly walk?
O a
3 steps per hour
Ob
3 steps per second
Ос
30 steps per minute
Od
30 steps per second

Answers

I think 30 steps per minute

PLS HELP ILL GIVE BRAINLIEST NEED ASAP !Which point lies on the graph of f(x)=3^x−5?


Question 1 options:


(3, 22)



(10, 25)



(0, -2)



(8, 19)


question 2 Which scenario can be represented by an exponential model?


Question 2 options:


Jack adds $3 to his piggy bank every week.



The height of a ball is tracked after it is thrown into the air.



The medication in an adult male reduces by half per hour.



Maggie earns $17.25 per hour.

Answers

The point (3,22) lies on the graph of f(x) = 3ˣ - 5. The medication in an adult male reduces by half per hour can represent an exponential function.

What is an exponential function?

An exponential function is in the form:

y = abˣ

Where a is the initial value of y and b is the multiplication factor.

Given the function:

f(x) = 3ˣ - 5

At point (3, 22):

f(3) = 3³ - 5 = 22

The point (3,22) lies on the graph of f(x) = 3ˣ - 5.

The medication in an adult male reduces by half per hour can represent an exponential function.

Both tables represent an exponential function.

Find out more on exponential function at: https://brainly.com/question/12940982

Consider the expressions (5.9 x 106) and (3.2 x 104)
Part A. Find the difference of the expressions (this means to subtract them!)
Part B. Find the product of the expressions (this means to multiply them!)

Answers

Answer:

I think u should check the question ones again

Step-by-step explanation:

but still this is ypur ans

hope it help

mark as brainliest

evaluate (5.4 x 105) - (1.4 X 10)​

Answers

Answer:

553

Step-by-step explanation:

567 - 14 = 553

Help on this please.

Answers

Answer:

  (25 -5√7)/3 ≈ 3.924 inches

Step-by-step explanation:

After removing squares from the corners and folding up the sides, the open-top box will have dimensions ...

  x × (20 -2x) × (30 -2x)

The maximum value for this cubic expression in the domain 0 < x < 10 is found easily by a graphing calculator to be at x = 3.924 inches.

__

You can solve this by expanding the cubic and finding the solution that makes its derivative equal to 0.

  V(x) = 4x^3 -100x^2 +600x

The derivative is ...

  V'(x) = 12x^2 -200x +600 = 0

Dividing by 12, we have ...

  x^2 -50/3x +50 = 0

Completing the square, we get the form ...

  (x -25/3)^2 = -50 +(25/3)^2 = (-450 +625)/9 = 175/9

Taking the square root gives ...

  x -25/3 = ±(5√7)/3

The solution in the desired range is ...

  x = (25 -5√7)/3 ≈ 3.924 . . . inches

_____

Additional comment

We limit the value of x to half the width of the cardboard material, as any longer cuts would overlap to create a negative box dimension. The graph shows the maximum volume to be about 1056.3 cubic inches. Box dimensions would be 3.924 in deep by 12.153 in by 22.153 in.

__

The generic solution can be found using a similar procedure. For cardboard dimensions a×b, it will be ...

x = ((a +b) -√((a -b)² +ab))/6

How do you find the quotient of positive and negative decimals.

Answers

Answer:

Ok, so we know that you can't simply divide a decimal as it is (if you're using long division)

For example, let's take  the quotient of 2.2 and -22

22÷ -2.2

so to get it into a whole number, multiply each value by 10 to get rid of decimal point

220 ÷ -22

when you divide, you are left with negative ten. Remember when you divide a negative and a positive number together, the result will always be negative

hope you understand now ;-)

Evaluate 15/k when k = 3

Answers

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

15/k

15/3

5

Marko is thinking of a number. The cube of the number is -27.
Write an equation that models the riddle using x for the number.

Answers

Answer:

x = [tex]\sqrt[3]{-27}[/tex]

x = -3

Step-by-step explanation:

The way to find the cube of a number is to cube root the number. Square roots find the roots of square numbers, cube roots find the roots of cubed numbers.

[tex]\sqrt[3]{x}[/tex]

A high percentage of people who fracture or dislocate a bone see a doctor for that condition. Suppose the percentage is 99%. Consider a sample in which 300 people are randomly selected who have fractured or dislocated a bone. (i) What is the probability that exactly five of them did not see a doctor? (4 marks) (ii) What is the probability that fewer than four of them did not see a doctor? (5 marks) (iii) What is the expected number of people who would not see a doctor? (5 marks)

Answers

Answer:

(i) 0.15708

(ii) 0.432488

(iii) 3

Step-by-step explanation:

Given that, 99% of people who fracture or dislocate a bone see a doctor for that condition.

There is only two chance either the person having fracture or dislocation of bone will either see the doctor or not.

As per previous data, if one person got a fracture or dislocation of bone, the chance of seeing the doctor is 0.99. Assuming this chance is the same for every individual, so the total number of people having fractured or dislocated a bone can be considered as Bernoulli's population.

Let p be the probability of success represented by the chances of not seeing a doctor by any one individual having fractured or dislocated a bone.

So, p=1-0.99=0.01

According to Bernoulli's theorem, the probability of exactly r success among the total of n randomly selected from Bernoulli's population is

[tex]P(r)=\binom{n}{r}p^r(1-p)^{n-r}\cdots(i)[/tex]

(i) The total number of persons randomly selected, n=400.

The probability that exactly 5 of them did not see a doctor

So, r=5 , p=0.01

Using equation (i),

[tex]P(r=5)=\binom{400}{5}(0.01)^5(1-0.01)^{400-5}[/tex]

[tex]=\frac{400!}{(400-5)!\times 5!}(0.01)^5(0.99)^{395}[/tex]

=0.15708

(ii) The probability that fewer than four of them did not see a doctor

[tex]=P(r<4)[/tex]

[tex]=P(r=0)+P(r=1)+P(r=2)+P(r=3)[/tex]

[tex]=\binom{400}{0}(0.01)^0(0.99)^{400}+\binom{400}{1}(0.01)^1(0.99)^{399}+\binom{400}{2}(0.01)^2(0.99)^{398}+\binom{400}{3}(0.01)^3(0.99)^{397}[/tex]

[tex]=0.017951+0.072527+0.146154+0.195856[/tex]

[tex]=0.432488[/tex]

(iii) The expected number of people who would not see a doctor

[tex]=np[/tex]

[tex]=300\times 0.01[/tex]

=3

THIS IS THE LAST QUESTION I NEED TO PASS

Answers

If two triangles are similar, that means their side lengths are proportional, so we get the equation

 [tex]\frac{AB}{AC} =\frac{FG}{FH} \\\frac{x}{17} =\frac{16}{20} \\20x = 16 * 17\\x=13.6[/tex]

Thus x = 13.6.

Hope that helped!

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unknown endpoint. Apply the midpoint formula, and solve the two equations for x and y.) midpoint (-24,15), endpoint (- 15,13) The other endpoint is (Type an ordered pair.)​

Answers

Answer:

The other endpoint is (-33, 17)

Step-by-step explanation:

The rule of the mid-point of a segment whose endpoints are

([tex]x_{1}[/tex], [tex]y_{1}[/tex]) and ([tex]x_{2}[/tex], [tex]y_{2}[/tex]) is

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

In our question

∵ The coordinates of the endpoints of a segment are (-15, 13) and (x, y)

∴ [tex]x_{1}[/tex] = -15 and [tex]x_{2}[/tex] = x

∴ [tex]y_{1}[/tex] = 13 and [tex]y_{2}[/tex] = y

∵ The coordinates of the mid-point of this segment are (-24, 15)

∴ [tex]x_{M}[/tex] = -24 and [tex]y_{M}[/tex] = 15

→ Use the rule of the mid-point to find x and y

∵ [tex]-24=\frac{-15+x}{2}[/tex]

→ Multiply both sides by 2

∴ -48 = -15 + x

→ Add 15 to both sides

-33 = x

∵ [tex]15=\frac{13+y}{2}[/tex]

→ Multiply both sides by 2

∴ 30 = 13 + y

→ Subtract 13 from both sides

17 = y

The other endpoint is (-33, 17)

Find the distance between the points (

2,

7) and (7,

3).

Answers

Answer:

sqrt(97)

Step-by-step explanation:

3(2x−7)+ 1/3 (7x+2)
I NEED HELP!!!

Answers

Answer:

Today: Friday, 30 October 2020

Hour: 14.49 WIB (in Indonesia)

________________________

3 (2x - 7) + 1/3 (7x + 2)

= 6x - 21 + 7x/3 + 2/3

= 6x + 7x/3 + 2/3 - 21

= 25x - 61/3

Explain how #3 and #4 are similar

Answers

Answer:

Because they have an # in it

PLEASE HELP I NEED THIS ASAP.

Answers

Answer:

Smart me thinks it is 22

Step-by-step explanation:

Pls help
Picture in down here

Answers

Answer:

1/7 is less than 7/12

Step-by-step explanation:

please mark me as brainlest

7/10 No
4/12 No
7/6 No
1/7 Yes

if +800 represent RM800 being credit into saving account then RM800 being debited into a saving account is represent as?​

Answers

Assuming +800 represent RM800, then RM800 being debited into a saving account is represent as:-$800.

What is saving account?

A saving account is an account that enables you to save you money while you earn interest on the amount save.

The amount +$800 being credited means that money is being deposited into the saving account  while on the other hand -$800 being debited represent a reduction  in the amount deposited into the saving account.

Inconclusion RM800 being debited into a saving account is represent as:-$800.

Learn more about saving account here:https://brainly.com/question/3877103

Can some Please help me with this please please :(((( (The Image is In The Question)

When Hana goes to the mall, she always buys the same lunch and also buys some
books. The table shows the number of books she buys, x, and the total amount of money she spends, y.

If this data were displayed in a scatter plot, select ALL statements that would be true about a good trend line summarizing the data.

SELECT GROUP OF ANSWER CHOICES

A. The y-intercept approximates the average cost of one book.

B. The y-intercept approximates the cost of Hana's lunch.

C. The slope approximates the cost of Hana's lunch.

D. The trend line goes through the origin.

E. The slope approximates the average cost of one book.

Answers

Answer:

Lets see...The y-intercept approximates the average cost of one book. And  The trend line goes through the origin.

Step-by-step explanation:

a Show that the sum of any three
consecutive even integers is a multiple of 6.
b) Hence, or otherwise, work out what the
values of three consecutive even integers
must be if their sum is 6000.

Answers

Answer:

Below.

Step-by-step explanation:

a) Let the numbers be n, n + 2 and n + 4

Sum = n + n + 2 + n + 4

= 3n + 6.

As n must be even (2, 4, 6 and so on) , 3n must be divisible by 6  and 3n + 6 is divisible by 6 also.

b) 3n + 6 = 6000

3n =  5994

n = 5994/3 = 1998

So the numbers are 1998, 2000 and 2002.

I need help with #12 MULTIPLE CHOICE

Answers

Answer:

[tex]\huge\boxed{B)\ m=\dfrac{1}{2}}[/tex]

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have two points (-1, 3) and (3, 5).

Substitute:

[tex]m=\dfrac{5-3}{3-(-1)}=\dfrac{2}{3+1}=\dfrac{2}{4}=\dfrac{2:2}{4:2}=\dfrac{1}{2}[/tex]

If it takes 11.75 gallons of gas to refuel the car tim rented, how much extra should he expect to pay because he forgot to get gas? a. $26.44 b. $31.44 c. $52.88 d. $57.88

Answers

The extra amount that Tim is expected to pay is approximately given by: Option D:  $57.88

How to form mathematical expression from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For this case, the question is missing the fact that the size of the tank is 11.75 gallon and a gallon of gas costs $4.50.

So, the total cost of 11.75 gallon of gas is:

Cost of 11.75 gallon gas = 11.75 * 4.50 = 52.875 (in dollars)

Also from the question, the cost of refueling a vehicle is $5.00.

So, the total cost for refueling the car of Tim is:

Total cost = cost of gas + cost of refueling the car

Total cost  = 52.875 + 5.00

Total cost  = $57.875 ≈ $57.88

Thus, the extra amount that Tim is expected to pay is approximately  given by: Option D; $57.88

Learn more about forming equations here:

https://brainly.com/question/11938672

Identify the solutions to (2x-5)(x+12)=0.

Answers

Answer:

x = 5/2, -12

Step-by-step explanation:

(2x-5)(x+12) = 0

2x-5 = 0

2x = 5

x = 5/2

x + 12 = 0

x = -12

Answer:

x = 5/2          x = -12

Step-by-step explanation:

(2x-5)(x+12)=0.

Using the zero product property

2x-5 =0         x+12=0

2x=5              x = -12

x = 5/2          x = -12

Question 15
Create an expression equivalent to 4(2x−1)+3(1/2x+5) that does not use parentheses.

Answers

Step-by-step explanation:

8x - 4 + 1.5x + 15

8x + 1.5x = 9.5x

-4 + 15 = 11

9.5x + 11

Expression = 9.5x + 11

Without Simplifying = 19/2x + 11

Answer:

9.5x + 11

Step-by-step explanation:

First, distribute the 4 to (2x - 1) to get 8x - 4. Distribute 3 to (1/2x + 5) to get 3/2x + 15. Put them back together to get 8x - 4 + 3/2x + 15. Combine like terms to get 9.5x + 11.

A movie theater sells popcorn in bags of different sizes. the table shows the volume of popcorn and the price of the bag. now write an equation relating the volume of popcorn,x, in ounces to the price, y in dollars

please hurry if you are gonna answer this answer it correct dont attach a virus please

Answers

Answer:Function modelling - It is based on the  variables like Quadratic expression, rational numbers as the setting of function depends the function modelling performs .Thus the option to the above ques is 16$

Step-by-step explanation: hope this helps!!! :)

Other Questions
Simplify completely: (3 - 5i)(6 + i) What is the best way to combine these sentences using a prepositional phraseThe cencor had a choise to make. He had to chose weather to be loyal to his work or to his personal morals What is the significance of Third Parties? How have they impacted the electoral fortunes of the two major political parties? Give examples. No one on this bus seems to know (his or her, their) way around this part of New York City. which statement explains the significance of this colonial institution? You spend $40 on $5 pounds of concrete.what is the unit rate in dollars per pound Please help! Solve for m in the mathematical formula y=m x+b. An ecosystem could probably survive without _____. car travels 67 miles at a speed of 45 mi/hr. How long did it take? While playing football, John lost 4 yds, then gained 15 yds, then lost 4 yds. How many yards did he gain from the three plays? Which statement about the siege at the Alamo is true? Reconocer las figuras retricas en un poema Aprendizaje Esperado: Identifica la funcin y caractersticas de las figuras retricas en los poemas a partir de un movimiento literario.nfasis: Reconocer las figuras retricas en un poema.En el siguiente poema de Silvio Rodrguez, identifica lo que el autor pretende comunicar con lenguaje figurado y realiza la parfrasis de est. Mi unicornio azul ayer se me perdi, Pastando lo deje y desapareci. Cualquier informacin bien la voy a pagar.Las flores que dej no me han querido hablar. Mi unicornio azul ayer se me perdi,No s si se me fue, No s si extravi, Y yo no tengo ms que un unicornio azul. Si alguien sabe de l,Le ruego informacin, Cien mil o un milln Yo pagar. Mi unicornio azul Se me ha perdido ayer, Se fue. Mi unicornio y yo hicimos amistad, Un poco con amor, Un poco con verdad. Con su cuerno de ail Pescaba una cancin, Saberla compartirAyuda por favor, necesito esto urgentemente :( The question is in the picture Can you help me please Corey is reading a graph of equivalent ratios. If one of the ratios is represented as (3, 5), which could be another ratio? why stone is not a combustable and insolouble in water At a baking competition, 0.5 dishes were cooked by Room 102, 3/10 were cooked by Room 104, and 1/5 were cooked by Room 106. What fraction of the dishes were cooked by Rooms 102 and 104? Express your answer in the simplest form. On a 30-question test, Janice answered four-fifths of the questions correctly. Which of the following is the number of questions she answered correctly?(1) 24 (2) 25(3) 26 (4) 28 calculate the monentun pf 75 kg bicycle and boy who has ghe velocitg of 3m/s Can I have some help, please?