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2 years ago

How to evaluate a piecewise function ?

Mathematics

1 answer:

8090 [49]2 years ago

5 0

Answer:

So it's going to be 3 times 2 minus 8 3 times 2 is 6 6 minus 8 is negative 2 and that's the answer.

Step-by-step explanation:

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The function of (x) varies directly with x^2, and f(x)=96 when x=4 what is the value of f(2)

makkiz [27]

$\bf \qquad \qquad \textit{direct proportional variation}
\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------$

$\bf \textit{f(x) varies directly with }x^2\qquad f(x)=kx^2
\\\\\\
\textit{we also know that }
\begin{cases}
f(x)=96\\
x=4
\end{cases}\implies 96=k(4)^2\implies 96=16k
\\\\\\
\cfrac{96}{16}=k\implies 6=k\qquad therefore\qquad \boxed{f(x)=6x^2}
\\\\\\
\textit{now, when }\stackrel{f(2)}{x=2}\textit{ what is \underline{f(x)}?}\qquad f(2)=6(2)^2$

3 0

2 years ago

4 What is the solution to the inequality -3x-42>3 ?

Vladimir [108]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

What is the solution to the inequality -3x-42>3 ?

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

$- 3 x - 42 \gt 3$

Add 42 to both sides.

$-3x>3+42$

Add 3 and 42 to get 45.

$-3x>45$

Divide both sides by -3. As -3 is <0, the inequality direction has changed.

$x$

Divide 45 by -3 to get -15.

$\huge \boxed{ \boxed{ \bf \: x$

8 0

2 years ago

Which inequality represents this sentence?

kow [346]

The answer is D.

You’re welcome!

6 0

2 years ago

Suppose E is an event whose probability of occurring is

bixtya [17]

Answer:

D. 1/3

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

The director of a community recreation center conducted a six-week study to examine the effects of four types of exercise—streng

Olin [163]

Answer: The treatments in the study are strength training, flexibility training, aerobics, and jogging.

Step-by-step explanation:

A correct description of a feature of the study is that the treatments in the study are strength training, flexibility training, aerobics, and jogging.

It should be noted that the study has no replication. Also, the experimental units are the 40 members that participated.

Therefore, the correct option is D.

4 0

2 years ago