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3 years ago

Find the inverse. f(x)= 5x-15

Mathematics

1 answer:

Nikitich [7]3 years ago

7 0

Answer:

y= $\frac{x}{5}$ +3

Step-by-step explanation:

1. Replace f(x) to x and replace x with y.

x=5y-15

2. Then, add 15 to both sides

x+15=5y-15+15

5y=x+15

3. Divide both sides by 5

$\frac{5y}{5}$ = $\frac{x}{5}$ + $\frac{15}{5}$

y= $\frac{x}{5}$ +3

4. Enjoy your answer.

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A line passes through the points (5,20) and ( 7 , 22). Write a linear function rule in terms of x and y for this line.

Sunny_sXe [5.5K]

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

(x₁, y₁) - point

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (5, 20) and (7, 22). Substitute:

$m=\dfrac{22-20}{7-5}=\dfrac{2}{2}=1$

$y-20=1(x-5)$

$y-20=x-5$ <em>add 20 to both sides</em>

$y=x+15$

5 0

4 years ago

Which formula will find the area of the composite figure below ?

fomenos

Answer:

Last formula

${side}^{2} + \frac{\pi {r}^{2} }{2}$

Step-by-step explanation:

Composite figure is made up of a square and a semicircle.

Therefore,

Area of composite figure= area of square + area of semicircle

$\huge\purple {\boxed {= {side}^{2} + \frac{\pi {r}^{2} }{2}}}$

7 0

4 years ago

15 friends sold the same number of tickets each. They sold x tickets altogether. How many tickets did each of them sell?

Kobotan [32]

Answer:

hhgfghgffgtfhhjjjjhhfsadsdffbnjghdrr

5 0

3 years ago

Read 2 more answers

Can anyone help me find the coordinates (?,?) given that the shape is a parallelogram? (15 points)

xxTIMURxx [149]

The missing coordinates of the parallelogram is (m + h, n).

Solution:

Diagonals of the parallelogram bisect each other.

Solve using mid-point formula:

$$\text{Midpoint} =\left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right )$

Here $x_1=m, y_1=n, x_2=h, y_2=0$

$$=\left( \frac{m+h}{2}, \frac{n+0}{2}\right )$

$$\text{Midpoint} =\left( \frac{m+h}{2}, \frac{n}{2}\right )$

<u>To find the missing coordinate:</u>

Let the missing coordinates by x and y.

Here $x_1=0, y_1=0, x_2=x, y_2=y$

$$\text{Midpoint}=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )$

$$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )$

$$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{x}{2}, \frac{y}{2}\right )$

Now equate the x-coordinate.

$$ \frac{m+h}{2}=\frac{x}{2}$

Multiply by 2 on both sides of the equation, we get

m + h = x

x = m + h

Now equate the y-coordinate.

$$\frac{n}{2} = \frac{y}{2}$

Multiply by 2 on both sides of the equation, we get

n = y

y = n

Hence the missing coordinates of the parallelogram is (m + h, n).

5 0

3 years ago

Solve the following <br> Sin 42 = cos ____

Hoochie [10]

I think the answer is 0.399
the "9" is repeated.

5 0

4 years ago