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Alexus [3.1K]
3 years ago
10

What is the value of the function f(x)= -x+4 when x= -2? A) 6 B) -6 C) -2 D) 2

Mathematics
2 answers:
Airida [17]3 years ago
8 0
The value of the function is A) 6 because -(-2)+4=2+4=6. The function is equal to 6.
Hope this helps!
Please rate brainliest!
schepotkina [342]3 years ago
7 0
F(x) = -x + 4

Substitute x = -2 to the equation:

f(-2) = -(-2) + 4 = 2 + 4 = 6

Answer: A) 6
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The answer would be B
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A sphere of radius r is cut by a plane h units above the equator, where
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Consider the top half of a sphere centered at the origin with radius r, which can be described by the equation

z=\sqrt{r^2-x^2-y^2}

and consider a plane

z=h

with 0. Call the region between the two surfaces R. The volume of R is given by the triple integral

\displaystyle\iiint_R\mathrm dV=\int_{-\sqrt{r^2-h^2}}^{\sqrt{r^2-h^2}}\int_{-\sqrt{r^2-h^2-x^2}}^{\sqrt{r^2-h^2-x^2}}\int_h^{\sqrt{r^2-x^2-y^2}}\mathrm dz\,\mathrm dy\,\mathrm dx

Converting to polar coordinates will help make this computation easier. Set

\begin{cases}x=\rho\cos\theta\sin\varphi\\y=\rho\sin\theta\sin\varphi\\z=\rho\cos\var\phi\end{cases}\implies\mathrm dx\,\mathrm dy\,\mathrm dz=\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi

Now, the volume can be computed with the integral

\displaystyle\iiint_R\mathrm dV=\int_0^{2\pi}\int_0^{\arctan\frac{\sqrt{r^2-h^2}}h}\int_{h\sec\varphi}^r\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\varphi\,\mathrm d\theta

You should get

\dfrac{2\pi}3\left(r^3\arctan\dfrac{\sqrt{r^2-h^2}}h-\dfrac{h^3}2\left(\dfrac{r\sqrt{r^2-h^2}}{h^2}+\ln\dfrac{r+\sqrt{r^2-h^2}}h\right)\right)
5 0
3 years ago
A researcher wanted to determine whether eating sugary cereal for breakfast increased the aggression of second graders during th
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Answer:

20 students

Step-by-step explanation:

Sample is basically a selected subset of a population. A researcher is investigating the effect of sugary cereal on the aggression of second graders during morning play period. For this purpose, a researcher selected 20 student and feed them a sugary cereal and then observe their behaviors. Here, 20 student are selected from the all second grader students. So, the sample in the conducted study are 20 students.

5 0
3 years ago
Mrs. Beverly brought two quarts of juice to class.
lutik1710 [3]

Answer:

8

Step-by-step explanation:

1 quart=4 cups so 4x2=8

6 0
2 years ago
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I give points for answer that sounds like a good reward
jarptica [38.1K]

Answer:

6(x+3)=24

x represents the price of one ticket

x = 1

You can figure out the last part

Step-by-step explanation:

The x represents the price of one ticket because you are paying for 6 tickets and 6 - $3 snacks

6(x+3) = 24

x+3 = 4

x = 1

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

8 0
3 years ago
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