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jekas [21]
2 years ago
11

HELP ASSAP WITH THIS QUESTION

Mathematics
2 answers:
Natalija [7]2 years ago
6 0
<span> The answer is A)Susanna starts out slower than Anita but still wins the race</span>
ivolga24 [154]2 years ago
6 0
Susanna starts out slower than Anita but still wins the race
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<img src="https://tex.z-dn.net/?f=%20%28%7B%20%7Bx%7D%5E%7B2%7D%20%20-%204%7D%29%5E%7B5%7D%20%28%20%7B4x%20-%205%7D%29%5E%7B4%7D
Makovka662 [10]

Let u=x^2-4 and v=4x-5. By the product rule,

\dfrac{\mathrm d(u^5v^4)}{\mathrm dx}=\dfrac{\mathrm d(u^5)}{\mathrm dx}v^4+u^5\dfrac{\mathrm d(v^4)}{\mathrm dx}

By the power rule, we have (u^5)'=5u^4 and (v^4)'=4v^3, but u,v are functions of x, so we also need to apply the chain rule:

\dfrac{\mathrm d(u^5)}{\mathrm dx}=5u^4\dfrac{\mathrm du}{\mathrm dx}

\dfrac{\mathrm d(v^4)}{\mathrm dx}=4v^3\dfrac{\mathrm dv}{\mathrm dx}

and we have

\dfrac{\mathrm du}{\mathrm dx}=2x

\dfrac{\mathrm dv}{\mathrm dx}=4

So we end up with

\dfrac{\mathrm d(u^5v^4)}{\mathrm dx}=10xu^4v^4+16u^5v^3

Replace u,v to get everything in terms of x:

\dfrac{\mathrm d((x^2-4)^5(4x-5)^4)}{\mathrm dx}=10x(x^2-4)^4(4x-5)^4+16(x^2-4)^5(4x-5)^3

We can simplify this by factoring:

10x(x^2-4)^4(4x-5)^4+16(x^2-4)^5(4x-5)^3=2(x^2-4)^4(4x-5)^3\bigg(5x(4x-5)+8(x^2-4)\bigg)

=2(x^2-4)^4(4x-5)^3(28x^2-57)

7 0
3 years ago
Solve the equation
kondor19780726 [428]

4 1/5 + B = 9 3/5

21/5 + B = 48/5

B = 27/5

B = 5 2/5

Letter C is the correct answer!

Hope this helps! ;)

4 0
3 years ago
Help me please TY WHOEVER HELPS​
Natali [406]

Answer:

picture too bad sorry

Step-by-step explanation:

8 0
3 years ago
The temperature in Miami, Florida is 22 degrees warmer than three times the temperature in Bangor, Maine. The temperature in Mia
Nastasia [14]

Answer:

y=\frac{x-22}{3} ; y=20

Step-by-step explanation:

Let Temperature of Maimi T_{m}  and that of Bangor be T_{b}

Given in the condition is T_{m} is 22 more than 3 times  T_{b}

i.e. T_{m} = 22+ 3 * T_{b}

Hence

T_{m} - 22 = 3 * T_{b}

T_{b} = \frac{T_{m}-22}{3}

Here also we are given that T_{m}=82

T_{b} = \frac{82-22}{3}

T_{b} = \frac{60}{3}

T_{b} = 20

8 0
3 years ago
Read 2 more answers
Write each ratio as a fraction in simplest form. <br> 5. 48 : 76 6. 20 inches to 4 feet
Delicious77 [7]

Answer:

48:76 would be 48/76 which would reduce to 12/19.

20:4 would be 5/1 reduced or just 5.

3 0
2 years ago
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