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shtirl [24]
3 years ago
15

Given f(x) = -3x + 3, solve for x when f(x) = 9.

Mathematics
2 answers:
Virty [35]3 years ago
6 0

Answer:

x = -2

Step-by-step explanation:

f(x) = -3x + 3

f(x) = 9

-3x + 3 = 9

Subtract 3 from both sides;

-3x = 6

Divide both sides by -3

x = -2

IgorLugansk [536]3 years ago
5 0
I think the awnser might be 3
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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
3 years ago
A printer prints 75 pages in 5 minutes at the same rate, how many pages does the printer print in 7 minutes
Elan Coil [88]

Why this is so easy

Ok so, 75/5=15

15*7 =105 so the answer is 105 pages

4 0
3 years ago
Use the given vertices to graph quadrilateral TUVW and its image after a dilation centered at the origin with scale factor
Mademuasel [1]

Answer:We know that the dilation transformation of a figure either shrink or expand the original figure depending on the scale factor of the dilation.

As here we have scale factor=3>1.

Hence, the dilation  changes the original will expand the original figure.

Hence, each of the coordinate of a figure get multiplied by 3.

Hence, the co

ordinates of the image are given as:

i.e. A(0,0) → A'(0,0)

B(2,3) → B'(6,9)

C(1,-2) → C'(3,-6)

D(-3,-3) → D'(-9,-9)

Step-by-step explanation:

5 0
1 year ago
What is the value of x in the equation 2.5x+ 10 = x- 0.5
Amiraneli [1.4K]
The value of x is -7
6 0
3 years ago
Mrs. Van Sant is using 1 scoop of lemonade mix for every 2 liters of water to make some lemonade. She is having a party and want
sesenic [268]
6 scoops of mix = 12 liters.

1 scoop = 2 liters, multiply both sides by 6 and that will give your answer.
6 0
3 years ago
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