Write an absolute value equation to satisfy the given solution set shown on a number line

Choose the two rectangular prisms that have a volume of 36cm^3?

oee [108]

Answer:

Correct choices: B, D

Step-by-step explanation:

The Volume of a Rectangular Prism

Given a rectangular prism of dimension W, L, and H, the volume is calculated as:

V = WLH

Each small cube of the figure has a volume of 1 cube centimeter. We need to calculate the volume of each solid and determine which ones have a volume of 36 cube cm.

A: V = 5*3*4 = 60 cube cm

B: V = 3*3*4 = 36 cube cm

C: V = 3*4*2 = 24 cube cm

D: V = 6*2*3 = 36 cube cm

E: V = 2*4*2 = 16 cube cm

Correct choices: B, D

8 0

3 years ago

Carlos earns $12 an hour for 40 hours of work and $18 an hour for 6 hours of overtime. Write an expression that shows how much C

Sergeeva-Olga [200]

(12x40)+(18x6)
or
(12x40)+(18x6)=588
thank you for letting me answer and god bless <3

3 0

3 years ago

Which of the values shown are potential roots of f(x) = 3x3 – 13x2 – 3x + 45? Select all that apply.

galina1969 [7]

Answer:

All potential roots are 3,3 and $-\frac{5}{3}$ .

Step-by-step explanation:

Potential roots of the polynomial is all possible roots of f(x).

$f(x)=3x^3-13x^2-3x+45$

Using rational root theorem test. We will find all the possible or potential roots of the polynomial.

p=All the positive/negative factors of 45

q=All the positive/negative factors of 3

$p=\pm 1,\pm 3,\pm 5\pm \pm 9,\pm 15\pm 45$

$q=\pm 1,\pm 3$

All possible roots

$\frac{p}{q}=\pm 1,\pm 3,\pm 5\pm \pm 9,\pm 15\pm 45,\pm \frac{1}{3},\pm \frac{5}{3}$

Now we check each rational root and see which are possible roots for given function.

$f(1)= 3\times 1^3-13\times 1^2-3\times 1+45\Rightarrow 32\neq 0$

$f(-1)= 3\times (-1)^3-13\times (-1)^2-3\times (-1)+45\Rightarrow \neq 32$

$f(-3)= 3\times (-3)^3-13\times (-3)^2-3\times (-3)+45\Rightarrow \neq -144$

$f(3)= 3\times (3)^3-13\times (3)^2-3\times (3)+45\Rightarrow =0\\\\ \therefore x=3\text{ Potential roots of function}$

Similarly, we will check for all value of p/q and we get

$f(-5/3)=0$

Thus, All potential roots are 3,3 and $-\frac{5}{3}$ .

5 0

3 years ago

Read 2 more answers

You have a gift card for your favorite clothing store for the amount of $60. You have found a shirt you want for $15. You don't

Zolol [24]

Let

x--------> the amount you have left to spend

y--------> the cost of a shirt you want

z------> the amount of the gift card

we know that

$x+y \leq z$ --------> equation $1$

$y=\$ 15$ --------> equation $2$

$z=\$ 60$ --------> equation $3$

Substitute the equation $2$ and equation $3 in the equation [tex] 1$ [/tex]

$x+y \leq z$

$x+15 \leq 60$

therefore

the answer is the option

x+15 is less than or equal to 60

7 0

3 years ago

Read 2 more answers

The width of bergstroms dining room table is three feet shorter then the length. If the area of the tabletop is 28 square feet,

weeeeeb [17]

7*4=28
7-4=3
so the width is 4 feet and the length is 7 feet

6 0

3 years ago