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3 years ago

PLEASE HELP (:

Mathematics

1 answer:

Kaylis [27]3 years ago

4 0

Answer:

{12,15}

Step-by-step explanation:

Given the function f(x) = x+5, if the range of the function is {7,9}, the domain of the function is derived by simply finding the value of the function at each end point.

At endpoint x = 7,

f(7) = 7+5

f(7) = 12

At endpoint x = 9

f(9) = 9+5

f(9) = 14.

The function domain is therefore at {12,14}

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3 years ago

What is the scale factor (k) of the dilation if C is (-6,9) and C' is (-2,3)?

bekas [8.4K]

Answer:

Step-by-step explanation:

Given the original coordinate as C (-6, 9) and new coordinates after dilation as C' (-2, 3), we can see that the value of the new coordinates has reduces by a factor. Let the factor be k

For the x coordinates:

C' = kC

x' = kx

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Hence the scale factor of the dilation is 1/3

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4 years ago

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Guys please help me, what is 10+x+ 8, what is 9(3x), what is 1/2 (10x) + 7-3, what is -5 (4x), what is 10 - 2 (8x) - 3 , and wha

Elena-2011 [213]

Answer:

$1.\ 10+x+ 8 = 18+ x$

$2.\ 9(3x) = 27x$

$3.\ \frac{1}{2}(10x) + 7 - 3 = 5x + 4$

$4.\ -5(4x) = -20x$

$5.\ 10 - 2 (8x) - 3 = 7 - 16x$

$6.\ 3(7x) + 3 (-5) = 21x -15$

Step-by-step explanation:

Required

Solve each expression

$1.\ 10+x+ 8$

Start by collecting like terms

$10+ 8+x$

Add like terms

$18+x$

The expression can't be solved further

Hence; $10+x+ 8 = 18+ x$

$2.\ 9(3x)$

Open the bracket

$9 * 3x$

$27x$

The expression can't be solved further

Hence, $9(3x) = 27x$

$3.\ \frac{1}{2}(10x) + 7 - 3$

Open bracket

$\frac{1}{2} * 10x + 7 - 3$

$5x + 7 - 3$

$5x + 4$

The expression can't be solved further;

Hence, $\frac{1}{2}(10x) + 7 - 3 = 5x + 4$

$4.\ -5(4x)$

Open the bracket

$-5 * 4x$

$-20x$

The expression can't be solved further

Hence, $-5(4x) = -20x$

$5.\ 10 - 2 (8x) - 3$

Open Bracket

$10 - 2 *8x - 3$

$10 - 16x - 3$

Collect like terms

$10 - 3 - 16x$

$7 - 16x$

The expression can't be solved further

Hence, $10 - 2 (8x) - 3 = 7 - 16x$

$6.\ 3(7x) + 3 (-5)$

Open both brackets

$3*7x + 3 * -5$

$21x -15$

The expression can't be solved further

Hence, $3(7x) + 3 (-5) = 21x -15$

8 0

3 years ago

line j is perpendicular to lines m and n. if the products of the slope of all three lines is -8, what is the slope of line j?

jeka94

Answer:

the slope of line j is -1/8, the slope of lines m and n are both 8.

Explanation step by step:

Suppose j is the slope of line j, m the slope of line m and n the slope of line n. Since:

1. line j is perpendicular of line m, so j*m= -1

2. J is perpendicular of line n, so j*n=-1

3. m and n and parallel so m=n

As we want to know the slope of j we clear the equations presented to us in order to find it.

(1) m* n* j = -8, since n=m we have $n^{2}$ * j = -8.

we clear j; $n^{2} * j = -8 \\ j =\frac{-8}{n^{2} }$

replacing in the equation n*j = -1 we get

n*(-8/n^2) = -1. Thus n = 8. Since j = -1/n = -1/8.

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3 years ago