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vovangra [49]
2 years ago
14

Given h(x) = -X – 2, solve for x when h(x) = 3.

Mathematics
2 answers:
viktelen [127]2 years ago
8 0

Answer:

x = -5

Step-by-step explanation:

One is given a function and the value of the function at a certain output. One must set the function to the given output, and solve to find the input,

h(x) = - x - 2

h(x) = 3

Set the output equal to the input,

h(x) = - x - 2 = 3

Inverse operations,

- x - 2 = 3

    +2    +2

- x = 5

*-1   *-1

x = -5

Naya [18.7K]2 years ago
6 0
The answer should be h(3)= -5
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What is the result of a dilation of scale factor 3 centered at the origin of the line 2y + 3x=10?? PLEASE HELP PLEASEEEEEEEEE
maks197457 [2]

Given:

The equation of a line is:

2y+3x=10

The line is dilated by factor 3.

To find:

The result of dilation.

Solution:

The equation of a line is:

2y+3x=10

For x=0,

2y+3(0)=10

2y+0=10

y=\dfrac{10}{2}

y=5

For x=2,

2y+3(2)=10

2y+6=10

2y=10-6

2y=4

Divide both sides by 2.

y=\dfrac{4}{2}

y=2

The given line passes through the two points A(0,5) and B(2,2).

If the line dilated by factor 3 with origin as center of dilation, then

(x,y)\to (3x,3y)

Using this rule, we get

A(0,5)\to A'(3(0),3(5))

A(0,5)\to A'(0,15)

Similarly,

B(2,2)\to B'(3(2),3(2))

B(2,2)\to B'(6,6)

The dilated line passes through the points A'(0,15) and B'(6,6). So, the equation of dilated line is:

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

y-15=\dfrac{6-15}{6-0}(x-0)

y-15=\dfrac{-9}{6}(x)

y-15=\dfrac{-3}{2}x

Multiply both sides by 2.

2(y-15)=-3x

2y-30=-3x

2y+3x=30

Therefore, the equation of the line after the dilation is 2y+3x=30.

3 0
2 years ago
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