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3 years ago

The model represents the equation

Mathematics

2 answers:

Dafna11 [192]3 years ago

7 0

12-4=8 so then 8/4=2 so x=2

abruzzese [7]3 years ago

4 0

I think the triangles represent 2

If you do 2+2+2+2+4 that equals 12

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Find the absolute maximum and minimum values of the following function on the given interval. If there are multiple points in a

Bond [772]

$f(x)=3\sin x+3\cos x\implies f'(x)=3\cos x-3\sin x$

$f$ has critical points where $f'=0$ :

$3\cos x-3\sin x=0\implies\cos x=\sin x\implies\tan x=1\implies x=\pm\dfrac\pi4+2n\pi$

where $n$ is any integer. We get solutions in the interval $\left[0,\frac\pi3\right]$ for $n=0$ , for which $x=\frac\pi4$ .

At this critical point, we have $f\left(\frac\pi4\right)=3\sqrt2\approx4.243$ .

At the endpoints of the given interval, we have $f(0)=3$ and $f\left(\frac\pi3\right)=\frac{3+3\sqrt3}2\approx4.098$ .

So we have the extreme values

$\max\limits_{x\in\left[0,\frac\pi3\right]}f=3\sqrt2$

$\min\limits_{x\in\left[0,\frac\pi3\right]}f=3$

8 0

3 years ago

Work out the surface area of this sphere.

MrRissso [65]

Answer:

452.2 cm

Step-by-step explanation:

A = 4πr²

A = 4 (3.14) (6)²

A = 4 (3.14) (36)

A = 452.16

A = 452.2 cm (nearest tenth)

5 0

2 years ago

You work forty hours a week at a furniture store. You receive a 1,200 dollar weekly salary, plus a 4.1% commision on sales over

Pachacha [2.7K]

If you call x the total value of the sales, the sale over 12,000 will be: g(x) = 12,000 - x.

And the commission is 4.1% of that = 0.041 * (12,000 - x) = 0.041 * g(x)

So, if f(x) = 0.041x, to calculate the commission you first have to calculate g(x) = 12,000 - x, and the f(g(x))=0.041[12,000 - x].

Which leads you to the solution for the commission as [f o g] (x) = f (g(x)) = 0.041 (12,000 - x).

Answer: [ f o g] (x)

4 0

3 years ago

Someone please help :) will mark brainliest :)

Nitella [24]

Answer:

a+b

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Is 3x+12-2x equivalent to x +12? Use two properties of operations to justify your answer.

aev [14]

Answer:

Yes, x + 12

Step-by-step explanation:

Simplify the following:

3 x - 2 x + 12

Grouping like terms, 3 x - 2 x + 12 = (3 x - 2 x) + 12:

(3 x - 2 x) + 12

3 x - 2 x = x:

Answer: x + 12

8 0

3 years ago

Read 2 more answers