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stepladder [879]
4 years ago
15

Can someone help? 15 points! :)

Mathematics
1 answer:
alukav5142 [94]4 years ago
3 0

Answer:

\Large \boxed{\mathrm{see \ below}}

Step-by-step explanation:

Given.

(4x)/7 - 6 = -20

The x variable should be isolated on one side of the equation.

<u>Adding 6 to both sides of the equation.</u>

(4x)/7 - 6 + 6 = - 20 + 6

(4x)/7 = - 14

<u>Multiplying both sides of the equation by 7.</u>

(4x)/7 × (7) = - 14 × (7)

4x = - 98

<u>Dividing both sides of the equation by 4.</u>

(4x)/4 = - 98/4

x = - 24.5

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elixir [45]
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Evaluate the integral. (Assume a ≠ b. Remember to use absolute values where appropriate. Use C for the constant of integration.)
Bess [88]

Answer:

<u><em>F(x)= 5*[\frac{x^{3} }{3} + (a*b)*\frac{x^{2} }{2} + a*b*x + C.</em></u>

Step-by-step explanation:

<u><em>First step we aplicate distributive property to the function.</em></u>

<u><em>5*(x+a)*(x+b)= 5*[x^{2}+x*b+a*x+a*b]</em></u>

<u><em>5*[x^{2}+x*(b+a)+a*b]= f(x), where a, b are constant and a≠b</em></u>

<u><em>integrating we find ⇒∫f(x)*dx= F(x) + C, where C= integration´s constant</em></u>

<u><em>∫^5*[x^{2}+x*(a+b)+a*b]*dx, apply integral´s property</em></u>

<u><em>5*[∫x^{2}dx+∫(a*b)*x*dx + ∫a*b*dx], resolving the integrals </em></u>

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<u><em>F(x)= 5*[\frac{x^{3} }{3} + (a*b)*\frac{x^{2} }{2} + a*b*x ]+ C.</em></u>

4 0
3 years ago
Compute.
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Read 2 more answers
Nick's favorite basketball team has managed an impressive feat. The team has scored 658 points for each of the last 12 seasons.
jenyasd209 [6]

Answer:

Total= 7896 points

Step-by-step explanation:

Method 1: 658 x12 = 7896 (in most cases you'd simply use a calculator to instantly solve or could use the 2 stepped multiplication method)

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therefore, 6580+1316=7896 ( this method is extremely useful for certain values since its simpler)

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