Simplify [tex]\frac{4x-10}{2}[/tex] to it's simplest form

The constant of variation of the data point is 8.

An equation is an expression that shows the relationship between two or more variables and numbers.

If two variables are proportional, they can be represented by:

y ∝ x

y = kx

k  is the constant of variation.

For the point (9, 72):

72 = 9k

k = 8

For the point (4, 32):

32 = 4k

k = 8

For the point (7, 56):

56 = 7k

k = 8

The constant of variation of the data point is 8.

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[tex]\red{\bf{ {Answer = \: \: - 48}}} [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf \underbrace {-22 \times 3} + \underbrace {12 \times 2} - \underbrace {6\times 2} + 4 + 2[/tex]

We carry out the three multiplications.

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf \underbrace {-66 \: + \: 24} \: - \: 12 \: + \: \underbrace {4 \: + \: 2}[/tex]

Now we make the ones that are marked.

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf \underbrace {-42} \: \: - 12 \: \: + \underbrace {6} \: \: [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf \underbrace {-36 \: \: \: - \: \: \: 12}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf -48[/tex]

Answer:

The lines will cross at (-5,1)

Step-by-step explanation:

I graphed it

why you copy my profile picture hello.....

Answer: just add 75 and 45 + x and do division for 69 ok  but times the 45 with 69 ok good luck

Step-by-step explanation:

Answer:

Bro

Step-by-step explanation:

sorry

Answer:

h = - 103/8

Step-by-step explanation:

1) Re-order terms so constants are on the left

8h = = -2(8)²+4(8)-7

2) Evaluate the exponent

8h = -2·64+4(8)-7

3) Multiply the numbers

8h = -128+4(8)-7

4) Multiply the numbers

8h = -128+32-7

5) Add the numbers

8h = -103

6) Divide both sides of the equation by the same term

8h/8 = -103/8

7) Simplify

- Cancel terms that are in both the numerator and denominator

h = -103/8

Answer:

i think original price Php656.25

Step-by-step explanation:

original price Php x

80%x = 575

x = 575×100/80

x = 656.25

original price Php656.25

Answer:

-12x + 94

Step-by-step explanation:

Simplify:

[tex]\left(x-4\right)\left(x-3\right)-x\left(x+5\right)+82[/tex]

[tex]=x^2-7x+12-x\left(x+5\right)+82[/tex]

[tex]=x^2-7x+12-x^2-5x+82[/tex]

[tex]=x^2-x^2-7x-5x+12+82[/tex]

[tex]=-7x-5x+12+82[/tex]

[tex]=-7x-5x+94[/tex]

[tex]=-12x+94[/tex]

Answer:

-3/2

Step-by-step explanation:

1) find the slope of (-9,-4), and (3,4)

4-(-4)=8, and 3-(-9)=12

the slope is 8/12 or 2/3 when simplified.

the PERPENDICULAR slope is the negative reciprocal of the slope, so

-3/2 is the answer.

Answer:

A, to B, to D,

or A, to E, to C, to D

Step-by-step explanation:

Answer:

16^2

Step-by-step explanation:

All you have to do is do 64 *.25 and you get 16

The area of the smaller pentagon is 4 in². thus option B is correct.

The ratio of the side lengths are given:

Small : Large = 3.5 : 14

The area of the larger pentagon is given;

Area = 64 in²

By Using the given parameters, the area of the small pentagon:

Area = (Small/Large)² * Area of Large

Area = (3.5/14)² * 64

Area = 4

Hence, the area of the smaller pentagon is 4 in². thus option B is correct.

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Answer:

y=-4

Step-by-step explanation:

2y-18=-26

    2y=-26+18

        =-8

      y=-8÷2

        =-4

Answer:

5:6

Step-by-step explanation:

20 divided by 4 = 5

24 divided by 4 = 6

So the ratio is 5:6

The number of hardback books that are on the bookshelf is 29 books.

Given the following data:

To determine the number of hardback books that are on the bookshelf:

Translating the word problem into an algebraic expression, we have;

The total number of books is:

[tex]T = H+P[/tex]

The number of hardback books is 15 more than twice the number of paperback books:

[tex]H =2P+15[/tex]

Substituting the given parameters into the formula, we have;

[tex]36 = 2P+15+P\\\\36=3P+15\\\\3P=36-15\\\\3P=21\\\\P=\frac{21}{3}[/tex]

P = 7 books

For number of hardback books:

[tex]H =2P+15\\\\H=2(7)+15\\\\H=14+15[/tex]

H = 29 books

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Answer:

Function 1

Step-by-step explanation:

I got it correct on khan academy

The function defined on the graph by the equation y = (-1/4)r -5 and line p has slope which is represented by option C. The functions have same slope.

Let the two coordinate on the line p of the function 2 on the graph.

( x₁ , y₁ ) = (-4, -6)

(x₂ , y₂ ) = ( 4 ,-8 )

Slope of the line = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substitute the value in the formula we get,

Slope of line p = ( -8 + 6 ) / ( 4 + 4 )

                         = -2/8

                        = -1/4

Slope of the function 1

y = -(1/4)r -5

When r = 8 ⇒ y = -7

r = -8 ⇒ y = -3

( x₁ , y₁ ) = (8, -7)

(x₂ , y₂ ) = ( -8 ,-3 )

Slope of the function 1  = ( -3 + 7 ) / ( -8  - 8 )

                         = 4/ -16

                        = -1/4

Therefore, slope of the both the function 1 and function 2 represented by line p are given by option C. the functions have same slope.

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Answer:

no since the ratios of the corresponding sides are not proportional

Answer:

no

Step-by-step explanation:

No since the divisor and dividend don't change by the same factor of 10.

Answer:

x = 2

y = 3

Explanation:

Answer:

Area = 867 meters

Step-by-step explanation:

You have a rectangle. This means opposite sides are equal. If you set these expressions equal to each other, you will get two equations with two unknowns, x and y. Next, solve the system of equations to find x and y. Then, use the values to find the length and width of the rectangle. Last, multiply length × width to find the area.

Answer:

C) y=3/2x+3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-3)/(2-0)

m=3/2

y-y1=m(x-x1)

y-3=3/2(x-0)

y=3/2(x)+3

y=3/2x+3

Answer:

C) y=3/2x+3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-3)/(2-0)

m=3/2

y-y1=m(x-x1)

y-3=3/2(x-0)

y=3/2(x)+3

y=3/2x+3

Answer:

58 out of 100 is

58/100

as a decmil that is

0.58

Hope That Helps!!!

Answer:

B

Step-by-step explanation:

First of all we know b is a parrellogram, so it is b.

But also other reasons:

It can't be A because they are next to each other, in fact supplementary angles. It can't be C because it doesn't make any sense and same thing for E.

Answer:

(-2,-1)

Step-by-step explanation:

f(x)=3 - 2x

y = 3 - 2x

if x = - 2

y =3 - 2(-2)

= -1

Required ordered pair is (-2,-1)

Answer:Answer:

(-2,-1) (2,-1) (-1,5)

Step-by-step explanation:

f(x)=3 - 2x

y = 3 - 2x

if x = - 2

y =3 - 2(-2)

= -1

Required ordered pair is (-2,-1)

Step-by-step explanation:

Answer:

2 5 and 6

Step-by-step explanation:

Any 2 sides have to add to more than the 3rd side.

Answer:

-13/-17

Step-by-step explanation:

y1-y2/x1-x2=-13/-17

Answer:

x = 12

Step-by-step explanation:

y= -4x+48

0=-4x+48

4x=48

x=12