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Serga [27]
3 years ago
8

Not sure how to do #69, it's a calc 1 question

Mathematics
1 answer:
Gnoma [55]3 years ago
3 0
Let A( t , f( t ) ) be the point(s) at which the graph of the function has a horizontal tangent => f ' ( t ) = 0.

But, f ' ( x ) = [ ( x^2 ) ' * ( x - 1 ) - ( x^2 ) * ( x - 1 )' ] / ( x - 1 )^2 =>
f ' ( x ) = [ 2x( x - 1 ) - ( x^2 ) * 1 ] / ( x - 1 )^2 => f ' ( x ) = ( x^2 - 2x ) / ( x - 1 )^2;

f ' ( t ) = 0 <=> t^2 - 2t = 0 <=> t * ( t - 2 ) = 0 <=> t = 0 or t = 2 => f ( 0 ) = 0; f ( 2 ) = 4 => A 1 ( 0 , 0 ) and A 2 ( 2 , 4 ).
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-12x - 12y = 4 3x + 3y = 0
Svetradugi [14.3K]

Answer:

no Solution

Step-by-step explanation:

-12x-12y=4\\ 3x+3y=0

12x-12y=4

add 12y to both sides

12x-12y+12y=4+12y

divid both sides by -12

\frac{-12x}{-12}=\frac{4}{-12}+\frac{12y}{-12}

simplfy

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

\mathrm{Substitute\:}x=-\frac{1+3y}{3}

\begin{bmatrix}3\left(-\frac{1+3y}{3}\right)+3y=0\end{bmatrix}

\begin{bmatrix}-1=0\end{bmatrix}

7 0
3 years ago
35.6 = the square root of 15.3^2 + the square root of x^2. Find x.​
vivado [14]

Answer:

x = 50.9

Step-by-step explanation:

35.6 = √(15.3²) + √(x²)

35.6 = 15.3 + x

x = 35.6 + 15.3

x = 50.9

5 0
3 years ago
Solve 2x+3y=6 for y<br><br> Answers listed: <br> y=-2/3x+2<br> y=2/3x-2<br> y=2x-3<br> y=2x+6
iren2701 [21]
2x + 3y = 6 <=>

3y = -2x + 6 <=>

y = -2/3x + 6/3 <=>

y = -2/3x + 2

The answer is the first one.
4 0
3 years ago
Read 2 more answers
Please help me out ‼️
Westkost [7]

Answer:

7

Step-by-step explanation:

In similar triangles, corresponding elements are proportional. Then we get,

(2x + 1)/(x-1) = 10/4

4(2x +1)       = 10(x-1)

8x + 4         = 10x - 10

8x               = 10x - 14

2x               = 14

x                 = 7

Hope it helps and if it does, please mark me brainliest...

6 0
3 years ago
Read 2 more answers
G^2 + 4gh; if g = -3 and h = 5
xxTIMURxx [149]

Answer:

Step-by-step explanation:

We know that g = -3 and h = 5

Plugging in the values for g and h you will get:

g^{2} + 4gh

(-3)^{2} + 4(-3)(5)

9 + (-60)

Final answer is -51

3 0
3 years ago
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