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3 years ago

Suppose y varies directly with x, and y=8 when x= -2. Find x when y=12

Mathematics

2 answers:

grigory [225]3 years ago

8 0

X would be -3, -2 x 12 then divide it by 8.

Best of luck,

$Echy$

N76 [4]3 years ago

6 0

X would be -3, -2*12 then divide 8

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gogolik [260]

Answer:

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Step-by-step explanation:

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3 years ago

What is the simplified form of 5 - 4y + 2x - 3y - 2 + 5x?

leva [86]

Combine like terms.

5-2=3

-4y-3y=-7y

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Put these combined values together:
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Final answer: A

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3 years ago

Write the Taylor Series for f(x) = sin(x)center

tangare [24]

Answer:

Taylor series of sin(x) centered at x = 0.

Step-by-step explanation:

Taylor series expansion:

$\sum_{n=0}^N f^n(a)\displaystyle\frac{(x-a)^n}{n!}$

Here, f(x) = sin (x) and a = 0

$f(x) = \sin x, f(0) = 0\\f'(x) = \cos x, f'(0) = 1\\f''(x) = -\sin x, f''(0) = 0\\f'''(x) = -\cos x, f'''(0) = -1\\f^4(x) = \sin x, f^4(0) = 0\\f^5(x) = \cos x, f^5(0) = 0$

Putting all the values and expanding, we get,

$f(x) = f(a) + \displaystyle\frac{f'(a)(x-a)}{1!} + \displaystyle\frac{f''(a)(x-a)^2}{2!} + \displaystyle\frac{f'''(a)(x-a)^3}{3!} + \displaystyle\frac{f^4(a)(x-a)^4}{4!} + \displaystyle\frac{f^5(a)(x-a)^5}{5!} + ...\\\\= \sin 0 + \displaystyle\frac{x}{1!} + \displaystyle\frac{(0)x^2}{2!} + \displaystyle\frac{(-1)x^3}{3!} + \displaystyle\frac{(0)x^4}{4!} + \displaystyle\frac{(1)x^5}{5!} + ...$

Solving, we get

$\sin x = x - \displaystyle\frac{x^3}{3!} + \displaystyle\frac{x^5}{5!} - \displaystyle\frac{x^7}{7!} + ...\\\\\sin x = x - \displaystyle\frac{x^3}{6} + \displaystyle\frac{x^5}{120} - \displaystyle\frac{x^7}{5040} + ...$

3 0

3 years ago

2) Mr. Riley dove off a cliff that was 30 feet above the surface of the water and descended a total of 100 feet. Which of the eq

MissTica

Answer:

Step-by-step explanation:

Mr.Riley was 30 feet above the water, which means he is at +30 above sea level. If he descends 100 feet, that means he goes 100 feet lower then that. 30 - 100 is equal to -70. He is 70 feet under water after he dived. You do not need to know the answer, but it helps to visualize the problem you have, therefore, finding the answer

4 0

3 years ago

How do i evaluate p=2l+2w if l=5 and w =3

BARSIC [14]

Answer: p = 16

Step-by-step explanation:

Replace the I with 5 and the W with 3.

2(5) + 2(3) = 10 + 6 = 16

5 0

3 years ago