The area of the following composite figure is 125 square centimeters. What is the value of b?

9+x=17;x=6,8or,269 + x equals 17 x equals 6, 8 or 26

chubhunter [2.5K]

9 + x = 17

x = 8

Answer: 8

7 0

4 years ago

If f(x)=2x+1/x-4what is the value of f-1(3)

Zarrin [17]

By concepts of functions, the inverse of the <em>rational</em> function f(x) = (2 · x + 1)/(x - 4) is f⁻¹(x) = (4 · x + 1)/(x - 2), whose value at being evaluated at x = 3 is equal to 13.

<h3>How to determine the value of the inverse of a function</h3>

In this question we must determine the inverse of a given function and evaluate the resulting expression at a given value. First, we apply the following substitution:

f⁻¹(x) = x

x = f(x)

x = (2 · f⁻¹(x) + 1)/(f⁻¹(x) - 4)

Then we clear f⁻¹(x) within the expression:

x · (f⁻¹(x) - 4) = 2 · f⁻¹(x) + 1

x · f⁻¹(x) - 4 · x = 2 · f⁻¹(x) + 1

x · f⁻¹(x) - 2 · f⁻¹(x) = 4 · x + 1

f⁻¹(x) · (x - 2) = 4 · x + 1

f⁻¹(x) = (4 · x + 1)/(x - 2)

Lastly, we evaluate the function at x = 3:

f⁻¹(3) = (4 · 3 + 1)/(3 - 2)

f⁻¹(3) = 13

By concepts of functions, the inverse of the <em>rational</em> function f(x) = (2 · x + 1)/(x - 4) is f⁻¹(x) = (4 · x + 1)/(x - 2), whose value at being evaluated at x = 3 is equal to 13.

To learn more on inverse functions: brainly.com/question/2541698

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8 0

2 years ago

A genetics experiment involves a population of fruit flies consisting of 1 male named Bart and 3 females named Charlene, Diana,

kenny6666 [7]

Answer:

(b) $\frac{1}{2}$

Step-by-step explanation:

1 male named Bart (b)

3 females named Charlene(c), Diana(d), and Erin(e).

Since there is replacement, the possible samples are:

bb, bc, be, bd, cb, cc, cd, ce, db, dc, dd, de, eb, ec, ed, and ee.

Total Number of pairs = 16

Event of picking 2 males:bb

Event of 1 male:bc,cb,bd,db,be,eb

Event of picking 0 males:

cc, cd, ce, dc, dd, de, ec, ed, and ee.

$\begin{equation*} \begin{matrix}Proportion of males & Probability \\0 & 9/16 \\1 & 6/16 \\2 & 1/16 \end{matrix} \end{equation*}$

b. The mean of the sampling distribution

$\mu = (\frac{9}{16} X0 ) +(\frac{6}{16} X 1)+(\frac{1}{16} X 2) = \frac{8}{16} = \frac{1}{2}$

c. No; the proportion of males is $\frac{1}{4}$ while the mean is $\frac{1}{2}$ .

B. No, the sample mean is not equal to the population proportion of males. These values are not always equal, because proportion is an unbiased estimator.

7 0

3 years ago

Any help please it is a bit hard for me

cestrela7 [59]

Answer:

$190

8

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Order these fractions from least to greatest 2/3,7/12,3/4