Find the zeros of the function. Enter the solutions from least to greatest. f(x) = (x - 1)^2-36

Mathematics

1 answer:

aev [14]2 years ago

8 0

Answer:-5 and 7

Step-by-step explanation:

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Find the x- and y-intercept of the line. -7/5x -4y = 7

rosijanka [135]

First, isolate the variables to either side.

4y = -7/5x -7

Second, simplify in terms of y.

y = -7/20x - 7/4

Third, plug 0 in for y to find the y intercept and factor the x side to make it simple. Then, find the value that makes the x-factor zero.

0 = (-7/4)(1/5x +1)

1/5x + 1 = 0

1/5x = -1

x = -5

The x-intercept is (-5,0)

Fourth, plug zero in for x to find the y-intercept.

y = -7/20*(0) -7/4

y = -7/4

Therefore, the y-intercept is (0,-7/4) and the x-intercept is (-5,0).

6 0

3 years ago

Derivative of (2x+5)^4(5x+2)^-2

Sveta_85 [38]

Use chain rule

$\frac{d}{dx}f(x)g(x)=f'(x)g(x)+g'(x)f(x)$

and also power rule
$\frac{d}{dx} x^m=mx^{m-1}$

so

well, we will say $f(x)=(2x+5)^4$ and $g(x)=(5x+2)^{-2}$
$f'(x)=4(2x+5)^3(\frac{d}{dy}(2x+5))=4(2x+5)^3(2)=8(2x+5)^3$
$g'(x)=-2(5x+2)^{-3}(\frac{d}{dx}(5x+2))=-2(5x+2)^{-3}(5)=-10(5x+2)^{-3}$

so
$\frac{d}{dx}(2x+5)^4(5x+2)^{-2}=8(2x+5)^3(5x+2)^{-2}+(-10(5x+2)^{-3})(2x+5)^4)$
simplify yourself

3 0

3 years ago

6(X - 2) = -48 Find x

Darya [45]

Answer:

6x-12=-48

6x=-36

x=-6

Step-by-step explanation:

3 0

2 years ago

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