All categories

3 years ago

If f(x) and r1(x) are inverse functions of each other and f(x)=2x+5 , what is f^-1(8) ?

Mathematics

1 answer:

GenaCL600 [577]3 years ago

5 0

Answer:

3/2

Step-by-step explanation:

Given y = 2x + 5, let's rewrite the equation in terms of x;

y = 2x + 5 => Bring 5 to the other side

2x = y - 5 => Divide either side by 2

x = (y - 5)/2

If we want to take the inverse, simply swap the variable's positions...

We have y = (x - 5)/2

Now let's determine f^-1(8), substituting for "y" provided y is our inverse, f^-1

f^-1(8) = (8 - 5)/2 = 3/2

Solution: 3/2

You might be interested in

To see what parents in her neighborhood think about proposed changes to their local park, a parent walks through the neighborhoo

Anvisha [2.4K]

B. Convenience sampling

8 0

3 years ago

The weights of certain machine components are normally distributed with a mean of 5.19 ounces and a standard deviation of 0.05 o

Brums [2.3K]

Answer:

The weight that separate the top 8% by 5.2605 and the weight that separate bottom 8% by 5.1195.

Step-by-step explanation:

We are given that

Mean, $\mu=5.19$

Standard deviation, $\sigma=0.05$

We have to find the two weights that separate the top 8% and the bottom 8%.

Let x1 and x2 the two weights that separate the top 8% and the bottom 8%.

Z-value for p-value =0.08 = $-1.41$

For 8% bottom

$Z=\frac{x_1-\mu}{\sigma}=-1.41$

$\frac{x_1-5.19}{0.05}=-1.41$

$x_1-5.19=-1.41\times 0.05$

$x_1=-1.41\times 0.05+5.19$

$x_1=5.1195$

For 8% top

p-Value=1-0.08=0.92

Z- value=1.41

Now,

$\frac{x_2-5.19}{0.05}=1.41$

$x_2-5.19=1.41\times 0.05$

$x_2=1.41\times 0.05+5.19$

$x_2=5.2605$

(x1,x2)=(5.1195,5.2605)

4 0

3 years ago

Plssss quickk!!!! thx guys!!

CaHeK987 [17]

Answer:

what is it that you need help with

Step-by-step explanation:

6 0

2 years ago

2(5v+3) - 4(7v+1) = -88 Show all work

Novosadov [1.4K]

Answer:

Step-by-step explanation:

● 2(5v+3) - 4(7v+1) = -88

● 10v + 6 - 28v - 4 = -88

● (6-4) + (10v-28v) = -88

● 2 + -18 v = -88

● -18v = -90

● v = 90/18

● v = 5

5 0

3 years ago

A square measures 6r centimeters on each side. Which monomial represents the area of the square?

OleMash [197]

Answer:

Option 4

Step-by-step explanation:

So we know that the area of a square is found by s^2. This means that we can just look for (6r)^2, since 6r is our side length! Let's see...We know that (6r)^2 is equal to 6^2 times r^2 because of the distributive property of exponents. Therefore, option 4 is our right answer. 36 is 6^2 and r^2 is r^2.

3 0

3 years ago