All categories

3 years ago

What is the equation of the inverse of g(x)=2/5x -1

Mathematics

1 answer:

garri49 [273]3 years ago

4 0

to find the inverse interchange x and y and then solve for y

y = 2/5 x-1

x = 2/5 y-1

add 1 to each side

x+1 = 2/5 y

multiply by 5/2

5/2(x+1) =y

this is the inverse

g^-1(x) = 5/2(x+1)

You might be interested in

Solve the system below using elimination {5x+9y= -10} {7x+10y= -1}

bixtya [17]

∑Hey , jillianwagler ⊃

Answer:

x = 7, y = -5

Step-by-step explanation:

Given~:

Solve the system below using elimination

{5x+9y= -10}

{7x+10y= -1}

Solve:

$\begin{bmatrix}5x+9y=-10\\ 7x+10y=-1\end{bmatrix}$

Isolate x ( 5x + 9y = -10 ) : $\mathrm{x=\frac{-10-9y}{5}}$

Substitute: $\mathrm{x=\frac{-10-9y}{5}}$

$\begin{bmatrix}7\cdot \frac{-10-9y}{5}+10y=-1\end{bmatrix}$

$\begin{bmatrix}\frac{-70-13y}{5}=-1\end{bmatrix}$

Isolate y : $\frac{-70-13y}{5}=1:y=-5$

Substitute: $y=-5$

$x=\frac{-10-9\left(-5\right)}{5}=7$

Hence, $x=7$

Therefore, the solution for $\begin{bmatrix}5x+9y=-10\\ 7x+10y=-1\end{bmatrix}$ are:

$x=7,\:y=-5$

xcookiex12

8/19/2022

6 0

1 year ago

Select the correct answer.

kherson [118]

Answer:

d.2/6 has a repeating decimal form

3 0

3 years ago

A cereal box has a length of 8 inches, a width of 2 inches and a height of 12 inches. What is the volume of the cereal box?

DochEvi [55]

Answer:

192 in cubed

Step-by-step explanation:

Multiply 12*2= 24*8

6 0

2 years ago

Read 2 more answers

A manager records the number of hours, X, each employee works on his or her shift and develops the probability distribution belo

Reika [66]

Answer:

c. 2

Step-by-step explanation:

Given : X = No. of hours worked

No. of people work for the manager = 50

X = 3, 4 , 5 , 6 , 7, 8

P(X) = 0.1 , ? , 0.14 , 0.3 , 0.36 , 0.06

To Find : No. of people work for four hours

Solution : First understand the fact that sum of all probabilities is equal to 1

So, sum of all values of P(X) = 1

⇒ $0.1+?+0.14+0.3+0.36+0.06 = 1$

⇒ $0.96+? = 1$

⇒ $?= 1-0.96$

⇒ $? = 0.04$

So, the probability of no. of people worked for 4 hours is 0.04.

⇒P(4)=0.04

Thus , To calculate no. of people work for four hours :

$0.04\times 50$

⇒ 2 no. of people work for four hours per shift .

5 0

2 years ago

Read 2 more answers

Select the answer choice that is equivalent to the expression given belon.

uranmaximum [27]

Answer:

$23x - 10$

Step-by-step explanation:

To the find the equivalent of $9(2x - 3) + 5x + 17$ , evaluate the expression. Start by opening the bracket.

$9*2x - 9*3 + 5x + 17$

$18x - 27 + 5x + 17$

Pair like terms

$18x + 5x - 27 + 17$

$23x - 10$

The equivalent of $9(2x - 3) + 5x + 17$ is $23x - 10$

6 0

3 years ago