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snow_lady [41]
3 years ago
5

Please answer this! Brainliest and thank you! Quickly please! Mary Kay is driving from Tampa to Dallas. The distance between the

2 cities is 1,022 miles. Mary Kay’s average rate of speed is 45 mph. The following function represents how many miles Mary Kay has left on her trip after t hours, f(t) = 1022 -45t. After how many hours of driving will Mary Kay be 572 miles from Dallas?
Mathematics
2 answers:
Alenkinab [10]3 years ago
3 0

Answer:

70 mph it would be 8 hours and 10 minutes

Step-by-step explanation:

Phoenix [80]3 years ago
3 0

Answer:

10 hours

Step-by-step explanation:

The equation will change from f(t) = 1022 - 45t to 572 = 1022 - 45t. First subtract 1022 from both sides simplifying the equation to -45t = -450. Then, divide both sides by -45 to get the answer t = 10. Check your answer by putting it back into the equation. 572 = 1022 - 45(10) which goes to

572 = 1022 - 450 which goes to 572 = 572.

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Valentin [98]

Answer:

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Step-by-step explanation:

just plug in -12

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then solve to get -3.0625 or -3.06

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8 0
3 years ago
Find the derivative of the function f(x) = (x3 - 2x + 1)(x – 3) using the product rule.
julsineya [31]

Answer:

Step-by-step explanation:

Hello, first, let's use the product rule.

Derivative of uv is u'v + u v', so it gives:

f(x)=(x^3-2x+1)(x-3)=u(x) \cdot v(x)\\\\f'(x)=u'(x)v(x)+u(x)v'(x)\\\\ \text{ **** } u(x)=x^3-2x+1 \ \ \ so \ \ \ u'(x)=3x^2-2\\\\\text{ **** } v(x)=x-3 \ \ \ so \ \ \ v'(x)=1\\\\f'(x)=(3x^2-2)(x-3)+(x^3-2x+1)(1)\\\\f'(x)=3x^3-9x^2-2x+6 + x^3-2x+1\\\\\boxed{f'(x)=4x^3-9x^2-4x+7}

Now, we distribute the expression of f(x) and find the derivative afterwards.

f(x)=(x^3-2x+1)(x-3)\\\\=x^4-2x^2+x-3x^3+6x-4\\\\=x^4-3x^3-2x^2+7x-4 \ \ \ so\\ \\\boxed{f'(x)=4x^3-9x^2-4x+7}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

6 0
3 years ago
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