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horsena [70]
2 years ago
8

Y=-3x+12 Y=-3

Mathematics
1 answer:
Alenkasestr [34]2 years ago
4 0

Well first you substitute -3 for y and then subtract 12 from both sides of the equation and it should look like -15=-3x. Then divide 3 on both sides and you should end up getting 5=x.

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Which two functions are inverses of each other?
liraira [26]

Answer:

Option 3 - f(x)= 4x, g(x) = \frac{1}{4}x

Step-by-step explanation:

To find : Which two functions are inverses of each other?

Solution :

Two functions are inverse if f(g(x))=x=g(f(x))

Now, we find one by one

1) f(x)= x, g(x) = -x

f(g(x))=f(-x)=-x\neq x

Not true.

2) f(x)= 2x, g(x) = -\frac{1}{2}x

f(g(x))=f(-\frac{1}{2}x)=2\times(-\frac{1}{2}x)=-x\neq x

Not true.

3) f(x)= 4x, g(x) = \frac{1}{4}x

f(g(x))=f(\frac{1}{4}x)=4\times(\frac{1}{4}x)=x

g(f(x))=f(4x)=\frac{1}{4}\times 4x=x

i.e. f(g(x))=x=g(f(x)) is true.

So, These two functions are inverse of each other.

4) f(x)= -8x, g(x) =8x

f(g(x))=f(8x)=8\times(-8x)=-64x\neq x

Not true.

Therefore, Option 3 is correct.

6 0
3 years ago
The tile backslash will be a mixture of colors of five-inch square tiles. One quarter of the tiles will be "Indian Red" one sixt
Vladimir79 [104]

Answer:

The fraction of tiles that will be the color of "sand" is 23/60

Step-by-step explanation:

we know that

The sum of the fractions of the tiles must be equal to 1

Let

x ----> the fraction of tiles that will be the color of "sand"

we have that

\frac{1}{4}+\frac{1}{6}+\frac{1}{5}+x=1

solve for x

Find the Least Common Multiple of denominators

LCM=(2^2)((3)(5)=60

Multiply both sides by 60

\frac{60}{4}+\frac{60}{6}+\frac{60}{5}+60x=60

simplify

15+10+12+60x=60

60x=60-37\\60x=23\\x=\frac{23}{60}

therefore

The fraction of tiles that will be the color of "sand" is 23/60

5 0
3 years ago
Which of the following equations represent linear functions?
disa [49]
4x+y=5 or b is the correct answer:) Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.
3 0
3 years ago
Solve this for me please
maria [59]

Answer:

y=-3.2x+6

Step-by-step explanation:

3 0
3 years ago
The volume of a cylinder is 225pi in.Cubed and the height of the cylinder is 1 in. What is the radius of the? cylinder?
arlik [135]

Answer:

<h2>r = 15 in</h2>

Step-by-step explanation:

The formula of a volume of a cylinder:

V=\pi r^2H

r - radius

H - height

We have

V=225\pi in^3\\\\H=1\ in

Substitute:

225\pi=\pi r^2(1)            <em>divide both sides by π</em>

225=r^2\to r=\sqrt{225}\\\\r=15\ in

6 0
3 years ago
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