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Mathematics

1 answer:

Andre45 [30]2 years ago

6 0

1) D. 5 answers are correct: -2, -1, 0, 1, 2.

2) C. Try plugging them in.

3) C. Vertex is (-h, k).

4) B is the right answer here.

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Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the

insens350 [35]

Answer:

So, the volume V is

$V=\frac{14\pi}{3}$

Step-by-step explanation:

We have that:

$y=7x\\\\y=0\\\\x=1\\\\x=-4\\$

We have the formula:

$V=2\pi\int_a^b x(g(x)-f(x))\, dx\\\\g(x)>f(x).$

We calculate the volume V, we get

$V=2\pi\int_a^b x(g(x)-f(x))\, dx\\\\V=2\pi\int_0^1 x(7x-0)\, dx\\\\V=2\pi\int_0^1 7x^2\, dx\\\\V=2\pi\cdot 7\left[\frac{x^3}{3}\right]_0^1\\\\V=14\pi\left(\frac{1}{3}-\frac{0}{3}\right)\\\\V=\frac{14\pi}{3}$

So, the volume V is

$V=\frac{14\pi}{3}$

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2 years ago

10x > 14x + 8 (find the value of x)

AleksAgata [21]

Answer: The answer will be created shortly.

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Multiply (x - 4)(x - 3)<br> PLZZZ get it RIGHT, SHOW YOUR WORK,AND NO LINKS PLZ!

Pepsi [2]

Answer:

Step-by-step explanation:

(x - 4) (x - 3)

x^2 - 3x - 4x + 12 (you distribute x in (x-4) to each of the terms x and -3 and multiply them. x*x is x^2 and x*(-3) is -3x. Then, you distribute -4 in (x-4) to each of the terms x and -3 and multiply them. -4*x is -4x and -4*-3 is 12)

x^2 - 7x + 12 (B)

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The number of bacteria in a second study is modeled by the function b_2(t)=800(1.6)^t.

Lisa [10]

Answer:

1.6 = 1 + .6 = 60% growth rate

Step-by-step explanation:

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