suppose y varies jointly as x and z. Find y when x=5 and z=6, if y=144 when x=6 and z=10

Answer:

M(7,9)

Step-by-step explanation:

M(3+11/2, 6+12/2)

M(14/2, 18/2)

=M(7,9)

Answer:

(7,9)

The explanation is on the photo.

Hope it helps!

#MissionExam001

Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

That's

Slope of the through points

(15, -6) and (-3, 13) is

Since the lines are parallel their slope are also the same

So slope of parallel line = - 19/18

Equation of the line using point (4,2) and slope -19/18 is

We have the final answer as

Hope this helps you

Answer:y=-1.583x-8.332

Step-by-step explanation:

First find slope from two points (-6-13)/(15+3)=-1.583

Now line is parallel so the slope would be same for the other line passing through (4,2) now as the general equation of line is

y=mx+c

2=-1.583(4)+c

Solving for c equals to -8.332

So final equation is

y=1.583x-8.332

Answer:

The answer is

Step-by-step explanation:

To find the inverse of f(x) equate f(x) to y

That's

y = f(x)

y = x - 2

Next interchange the terms.

That's x becomes y and y becomes x

We have

x = y - 2

Make y the subject

Send 2 to the left side of the equation

y = x + 2

We have the final answer as

Hope this helps you

Answer:  The fraction [tex]\frac{7}{17}[/tex]

This can be written as 7/17 if you are using a computer keyboard.

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

Explanation:

The two negatives next to each other basically cancel each other out to form a positive or a plus sign

We have

[tex]-\frac{9}{85} - \left(-\frac{44}{85}\right)[/tex]

turn into

[tex]-\frac{9}{85} +\frac{44}{85}[/tex]

From here, we add the fractions. To do this, we add the numerators and place the sum over the common denominator 85. This is only possible since both denominators are the same number.

[tex]-\frac{9}{85} +\frac{44}{85} = \frac{-9+44}{85} = \frac{35}{85}[/tex]

The last thing to do is to reduce this fraction as much as possible.

We see that 35 and 85 have 5 as a common factor. Divide each number by 5 to get...

Therefore, [tex]\frac{35}{85} = \frac{7}{17}[/tex]

So overall,

[tex]-\frac{9}{85} - \left(-\frac{44}{85}\right) = \frac{7}{17}[/tex]

Answer:

205°

T(t) = 65°+20°t

Step-by-step explanation:

Let the temperature be T and time be t

The equation to determine the temperature T after t minutes is:

For t = 7 we get:

Answer:

D) 216cm²

Step-by-step explanation:

Triangles: a=1/bh

a=1/2(6)(8)

a=24 (2 of them)

Base: 6x7=42

Back: 8x7=56

Front Rectangle: 7x10=70

24+24+42+56+70=216cm²

Answer:

See below.

Step-by-step explanation:

They invested in a ratio of Julie:Kristen of 5:12.

5 + 12 = 17

Julie invested 5/17 of the amount, and Kristen invested 12/17 of the mount.

a.

Julie: 5/17 * $51,000 = $15,000

Kristen: 12/17 * $51,000 = $36,000

b.

Kristen owns 12/17 of the business.

As a percent, 12/17 = 12/17 * 100% = 70.6%

c.

The percent of the business each owns does not change with the amount the company is worth.

Kristen owns 70.6%, so Julie owns 100% - 70.6% = 29.4%

Answer:

3/4

Step-by-step explanation:

Find the number that can be divided into both numbers.

12÷4 =3 16÷4=3

Answer:

5

Step-by-step explanation:

To find the common ratio, take the second term and divide by the first term

95/19 = 5

To verify take the third term and divide by the second term

475/95 = 5

The common ratio is 5

Answer:

[tex]\huge\boxed{Answer=>44}[/tex]

Steps:

If you do the steps correctly, the answer should be 44 ice cream scoops.

(Short way to do this problem/question)

Information given:

1. He uses 1/16 of the bottle of syrup(Every scoop of icecream he eats)

2. The question wants us to find, if he had ate 2 3/4 bottle of chocolate syrup.. how many scoops did he eat.

The steps are::::

1/16 = 16 (scoops of icecream)

Now, if we do 16 times 2 3/4 we would get...

44.

Hence, the answer is 44 scoops of icecream.

Greetings from Brasil...

From potentiation properties:

Mᵃ ÷ Mᵇ = Mᵃ⁻ᵇ

division of power of the same base: I repeat the base and subtract the exponents

In our case

3² ÷ 3⁴

3²⁻⁴

We also know about another property: P⁻ⁿ = (1/Pⁿ) so

3⁻² = 1/3²

Answer:

1/9

Step-by-step explanation:

hope i helped

Answer:

45

Step-by-step explanation:

-6x = 45-3

-6x= 42

X = 42/-6

X= -7

Answer:

d=4

Step-by-step explanation:

We are given the equation:

4d-4=5d-8

and asked to solve for d. In order to solve for d, we must isolate it on one side of the equation.

First, subtract 4d from both sides of the equation.

(4d-4d)-4=(5d-4d)-8

-4= (5d-4d)-8

-4= d-8

Next, add 8 to both sides of the equation.

(-4+8)=d-8+8

(-4+8)= d

4=d

Let's check our solution. Plug 4 in for d and solve.

4d-4=5d-8 (d=4)

4(4)-4=5(4)-8

Multiply 4 and 4.

16-4=5(4)-8

Subtract 4 from 16.

12= 5(4)-8

Multiply 5 and 4.

12= 20-8

Subtract 8 from 20.

12=12

The statement above is true, so we know our solution is correct.

The solution to the equation is d=4.

Answer:

It is 4

Step-by-step explanation:

KHAN

Answer: Population parameter

Step-by-step explanation: The parameter can be defined as a numerical value used to describe an entire population. The population describes all the entire values or members belonging to a particular group. Hence, numerical values which are used to explain the characteristic of the population is called the population parameter. Sample statistics on the other hand are numerical values associated statistical properties of a sample which is a subset of a certain population.

In the instance given above, 43% represents the population parameter which describes the percentage number of Democratic voters out of the entire population of voters in the city.

Answer:

The answer is D. Length = 9, width = 6cm

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

[tex]x^3=\boxed{x}\cdot x^2[/tex], and

[tex]\boxed{x}(x^2+2x+1)=x^3+2x^2+x[/tex]

Subtract this from [tex]x^3[/tex] to get a remainder of

[tex]x^3-(x^3+2x^2+x)=-2x^2-x[/tex]

[tex]-2x^2=\boxed{-2}\cdot x^2[/tex], and

[tex]\boxed{-2}(x^2+2x+1)=-2x^2-4x-2[/tex]

Subtract this from the previous remainder to get a new remainder of

[tex](-2x^2-x)-(-2x^2-4x-2)=3x+2[/tex]

[tex]3x[/tex] does not divide [tex]x^2[/tex], so we stop here.

What we've done is to write

[tex]\dfrac{x^3}{x^2+2x+1}=x-\dfrac{2x^2+x}{x^2+2x+1}[/tex]

then

[tex]\dfrac{x^3}{x^2+2x+1}=x-2+\dfrac{3x+2}{x^2+2x+1}[/tex]

and we stop here because the remainder term [tex](3x+2)[/tex] has a degree less than the degree of the denominator.

Alternatively, we can be a bit tricky and notice that

[tex]x^2+2x+1=(x+1)^2[/tex]

Now,

[tex](x+1)^3=x^3+3x^2+3x+1[/tex]

so that

[tex]\dfrac{x^3}{(x+1)^2}=\dfrac{(x+1)^3-(3x^2+3x+1)}{(x+1)^2}[/tex]

We can divide the first term by [tex](x+1)^2[/tex] easily to get

[tex]\dfrac{x^3}{(x+1)^2}=x+1-\dfrac{3x^2+3x+1}{(x+1)^2}[/tex]

Next,

[tex](x+1)^2=x^2+2x+1[/tex]

so that

[tex]\dfrac{x^3}{(x+1)^2}=x+1-\dfrac{3((x+1)^2-(2x+1))}{(x+1)^2}-\dfrac{3x+1}{(x+1)^2}[/tex]

[tex]\dfrac{x^3}{(x+1)^2}=x+1-3+\dfrac{6x+3}{(x+1)^2}-\dfrac{3x+1}{(x+1)^2}[/tex]

[tex]\dfrac{x^3}{(x+1)^2}=x-2+\dfrac{3x+2}{(x+1)^2}[/tex]

which is the same result as before.

Answer:

15%=0.15

1÷7=0.14

1÷5=0.2

1÷4=0.25

1÷3=0.33

Step-by-step explanation:

1/7

Answer:

1/7

Step-by-step explanation:

1/7 × 100 = 14.28%

1/5 × 100 = 20%

1/4 × 100 = 25%

1/3 × 100 = 33.33%

→ We can that 14.28% is the closest to 15% so 1/7 is the answer

Answer:

7

Step-by-step explanation:

heres a model

A ----------R---------D

A ----?-----R----8---D

A----------15----------D

15 - 8 = 7

AR = 7

Answer:

we have,

y-y1=m(x-x1)

or, y+8=4/3(x-3)

or, 3y+24=4x-12

or, 4x +3y+36=0 is the required equation

Answer:4/3x–12.

Step-by-step explanation: I just did this on khan and got it wrong but I used hints to get the answer, so here you go.

Answer:

False

Step-by-step explanation:

Step 1: Write out equation

-12 + n = -15

Step 2: Add 12 on both sides

n = -3

So our answer is -3 and not 3.

Answer: [tex]False[/tex]

The answer to this problem is [tex]n=-3[/tex]

To get -3 here is the work shown

Simplify both sides of the equation

[tex]n-12=-15[/tex]

Add 12 to both sides

[tex]n-12+12=-15+12\\n=-3[/tex]

Answer:

see below

Step-by-step explanation:

8x and 56 are not like terms

x is a variable and 56 is a constant

8x can be added to 56 but they cannot be combined together into one term

8x+56 cannot be combined because they are not like terms

Answer:

5a = 10a -6

Step-by-step explanation:

let the number be a.

so five times will be = 5a.....1)

and 6 less than 10times = 10a - 6......2)

since these numbers are same..

from 1) and 2)

5a = 10a -6

we can further simplify it ..

HOPE IT HELP...

Answer:

  C.  5

Step-by-step explanation:

The product of distances to the near and far intercepts with the circle are the same for each line segment. In the case of the tangent, those distances are the same, so you have ...

  6×6 = 4×(4+x)

  36 = 16 +4x . . . . eliminate parentheses

  9 = 4 + x . . . . . . .divide by 4; next, subtract 4

  5 = x

Answer:

The distance between the two piers is 3 miles.

Step-by-step explanation:

If in Tasha's drawing 2cm represents 0.5 miles between the two piers, and the distance between the two piers in Tasha's drawing is 12cm.

The answer is found by the rule of three:

2 cm : 0.5 miles

12 cm : X

X = (12 * 0.5) / 2

X = 3 miles.

The distance between the two piers is actually 3 miles.

Answer:

2

Step-by-step explanation:

Hey there!

Well the x intercept is the point the line touches the x-axis.

And to find it we need to graph the given equation.

7x - 2y = 14​

Look at the image below ↓

By looking at the given image we can tell that the x-intercept is 2.

Hope this helps :)

Hi there!

Answer:

[tex]\huge\boxed{x = 5}[/tex]

4x + 5 = 25

Subtract 5 from both sides:

4x + 5 - 5 = 25 - 5

4x = 20

Divide both sides by 4:

4x/4 = 20/4

x = 5.

Answer:

[tex]\Large \boxed{2. \ x=\pm \sqrt{k}}[/tex]

Step-by-step explanation:

[tex]x^2 =k[/tex]

k is a real number.

We take the square root of both sides of the equation.

[tex]\sqrt{x^2 } =\pm \sqrt{k}[/tex]

Simplifying the equation.

[tex]x=\pm \sqrt{k}[/tex]

Answer:

x = ±√k

Step-by-step explanation:

If:

[tex]x^2 = k[/tex]

We'll take square root on both sides

=> [tex]\sqrt{x^2} = +/- \sqrt{k}[/tex]

=> x = ±√k

Answer:

you currently have the value of x × 7, you need to divide it by 7 to find the value of x.

42 ÷ 7 = 6

Step-by-step explanation:

Answer:

Zeroes : 1, 4 and -5.

Potential roots: [tex]\pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20[/tex].

Step-by-step explanation:

The given equation is

[tex]x^3-21x=-20[/tex]

It can be written as

[tex]x^3+0x^2-21x+20=0[/tex]

Splitting the middle terms, we get

[tex]x^3-x^2+x^2-x-20x+20=0[/tex]

[tex]x^2(x-1)+x(x-1)-20(x-1)=0[/tex]

[tex](x-1)(x^2+x-20)=0[/tex]

Splitting the middle terms, we get

[tex](x-1)(x^2+5x-4x-20)=0[/tex]

[tex](x-1)(x(x+5)-4(x+5))=0[/tex]

[tex](x-1)(x+5)(x-4)=0[/tex]

Using zero product property, we get

[tex]x-1=0\Rightarrow x=1[/tex]

[tex]x-4=0\Rightarrow x=4[/tex]

[tex]x+5=0\Rightarrow x=-5[/tex]

Therefore, the zeroes of the equation are 1, 4 and -5.

According to rational root theorem, the potential root of the polynomial are

[tex]x=\dfrac{\text{Factor of constant}}{\text{Factor of leading coefficient}}[/tex]

Constant = 20

Factors of constant ±1, ±2, ±4, ±5, ±10, ±20.

Leading coefficient= 1

Factors of leading coefficient ±1.

Therefore, the potential root of the polynomial are [tex]\pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20[/tex].