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Akimi4 [234]
3 years ago
9

What is 5 = p over 4

Mathematics
1 answer:
Gnoma [55]3 years ago
3 0
Since it's p over four, which is a fraction, multiply each side by four. p = 20
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Which answers are elements of the solution set of the inequality? Check all that apply. X-54 > - 76
RideAnS [48]

Answer:

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Step-by-step explanation:

I assume your problem statement actually says

x - 54 > -76

x > -22

then the answers

C, D

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the others are not.

6 0
3 years ago
Calculate the total area of the shaded region.
LUCKY_DIMON [66]

so hmmm seemingly the graphs meet at -2 and +2 and 0, let's check

\stackrel{f(x)}{2x^3-x^2-5x}~~ = ~~\stackrel{g(x)}{-x^2+3x}\implies 2x^3-5x=3x\implies 2x^3-8x=0 \\\\\\ 2x(x^2-4)=0\implies x^2=4\implies x=\pm\sqrt{4}\implies x= \begin{cases} 0\\ \pm 2 \end{cases}

so f(x) = g(x) at those points, so let's take the integral of the top - bottom functions for both intervals, namely f(x) - g(x) from -2 to 0 and g(x) - f(x) from 0 to +2.

\stackrel{f(x)}{2x^3-x^2-5x}~~ - ~~[\stackrel{g(x)}{-x^2+3x}]\implies 2x^3-x^2-5x+x^2-3x \\\\\\ 2x^3-8x\implies 2(x^3-4x)\implies \displaystyle 2\int\limits_{-2}^{0} (x^3-4x)dx \implies 2\left[ \cfrac{x^4}{4}-2x^2 \right]_{-2}^{0}\implies \boxed{8} \\\\[-0.35em] ~\dotfill

\stackrel{g(x)}{-x^2+3x}~~ - ~~[\stackrel{f(x)}{2x^3-x^2-5x}]\implies -x^2+3x-2x^3+x^2+5x \\\\\\ -2x^3+8x\implies 2(-x^3+4x) \\\\\\ \displaystyle 2\int\limits_{0}^{2} (-x^3+4x)dx \implies 2\left[ -\cfrac{x^4}{4}+2x^2 \right]_{0}^{2}\implies \boxed{8} ~\hfill \boxed{\stackrel{\textit{total area}}{8~~ + ~~8~~ = ~~16}}

7 0
2 years ago
Select the correct answer. What is the domain of the function f(x) = 4x − 16? all real numbers all positive real numbers all pos
bagirrra123 [75]
Hello!

Since the function has no undefined points or domain constants the answer is all real numbers

The answer is all real numbers

Hope this helps!
8 0
3 years ago
Read 2 more answers
How would you solve this
Step2247 [10]

Step-by-step explanation:

to solve you just add the length of each line segment. In this problem 1.7+3.2=4.9

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allochka39001 [22]

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