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8090 [49]
3 years ago
8

Please Help with this math function problem​

Mathematics
2 answers:
slavikrds [6]3 years ago
5 0

Answer:

The Distributive Property is used, which consists of multiplying the factor by each of the addends.

2x (x-4) = 2x.x-2x.4 = 2 x 2 -8x

It is better to understand what you are doing. Hope this can help you :)

Step-by-step explanation:

Yuri [45]3 years ago
3 0

Answer:

slope: \frac{3}{4}; y-intercept: 1

Step-by-step explanation:

First, you must rearrange the function into y = mx + b form:

2x + x = 4(y - 1)

Simplify both sides:

3x = 4y - 4

Subtract 3x and 4y from both sides:

-4y = -3x - 4

Divide both sides by -4:

y = \frac{3}{4} x + 1

Now that it is in y = mx + b form, you can find the slope and y-intercept. In y = mx + b form, m is the slope and b is the y-intercept. Therefore:

m = \frac{3}{4} = slope

b = 1 = y-intercept

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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>

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

<u><em>Finally we can write the function F(x)</em></u>

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

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Ann [662]
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