What value(s) of x will make x2 = 16 true? O A. 4 and -4 O B. 2 O C. 6 and -6 O D. 4

A composition is operation between function that consist in replacing the independent variable of the first function, $f(x)$ in this case, for $g(x)$ . Common notations for composition between functions are $f(g(x))$ and $f\circ g (x)$ . If we know that $h(x) = f\circ g (x) = (x+2)^{2}$ and $f(x) = x^{2}$ , then $g(x) = x+2$ .

In a nutshell, $g(x) = x+2$ .

4 0

3 years ago

Find the area of the trapezoid below.

Pani-rosa [81]

Answer: 54 cm²

Step-by-step explanation: In this problem, we're asked to find the area of the trapezoid shown. A trapezoid is a quadrilateral with one pair of parallel sides.

The formula for the area of a trapezoid is shown below.

$Area =\frac{1}{2} (^{b} 1 + ^{b}2)h$

The b's represent the bases which are the parallel sides and h is the height.

So in the trapezoid shown, the bases are 6 cm and 12 cm and the height is 6 cm. Plugging this information into the formula, we have $\frac{1}{2} (6 cm +12cm)(6 cm)$ .

Next, the order of operations tell us that we must simplify inside the parentheses first. 6 cm + 12 cm is 18 cm and we have $\frac{1}{2}(18 cm)(6 cm)$ .

$\frac{1}{2} (18 cm)$ is 9 cm and we have 9 cm · 6 cm of 54 cm²

So the area of the trapezoid shown is 54 cm².

7 0

3 years ago

Nik needs to estimate how many books will fit in a bin. Each book is 0.75 feet tall, 0.75 feet wide, and 0.25 feet thick. The bi

cricket20 [7]

Step-by-step explanation:

first you find the volume of a bin.

that is multiplication of 3 dimensions given.

4*4*4=64 cubic feet...

now volume of books..

0.75*0.75.0.25=0.14 cubic feet

now the number of books that will fit the bin=volume of bin/volume of books

64/0.14=455

455 books

7 0

3 years ago