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4 years ago

Find the point on the graph of y=x^2 where the tangent line has slope m= - 1/3

Mathematics

1 answer:

babunello [35]4 years ago

8 0

Here the graph y=x²

Taking the 1st derivative here of the y it will be

y1 = 2x

m=-1/3

That is m=2x

so x=-1/6

so y=(-1/6)²=1/36

So the coordinate of point will be=(-1/6 , 1/36)

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Rewrite in simplest terms:

tangare [24]

Answer:

If one −5s−7(8s−1): -61s+7

If two −5s−7(8s−1): -112s+14

Step-by-step explanation:

-5s-7(8s-1)

Multiply -7 onto 8s and -1:

-5s-56s+7

add -5s and -56s:

-61s+7

−5s−7(8s−1)−5s−7(8s−1)

Multiply both -7 to 8s and -1

-5s-56s+7-5s-56s+7

add:

-112s+14

6 0

3 years ago

The length of a rectangle is 5 in longer than its width.

NeTakaya

Answer:

Length = 21

Width = 16

Step-by-step explanation:

We know that the formula for perimeter is:

P=2W+2L

And we also know that:

L=W+5

So then we put all that we know in the formula:

74=2W+2(W+5)

Now we expand the brackets and do some algebra:

74=4W+10 (-10)

64=4W (÷4)

16=W

Now that we know the width we can pop that into the length equation:

L=16+5

L=21

5 0

3 years ago

Evaluate the function at each specified value of the independent variable and simplify. (if an answer is undefined, enter undefi

tekilochka [14]

For this case we have the following function:

$h (t) = t ^ 2 - 8t$

What we should do is evaluate the function for the different values of the independent variable.

We have then:

For x = 8:

$h (8) = (8) ^ 2 - 8 (8)$

$h (8) = 64 - 64$

$h (8) = 0$

For x = 1.8:

$h (1.8) = (1.8) ^ 2 - 8 (1.8)$

$h (1.8) = 3.24 - 14.4$

$h (1.8) = -11.16$

For x = x + 8:

$h (x + 8) = (x + 8) ^ 2 - 8 (x + 8)$

$h (x + 8) = x ^ 2 + 16x + 64-8x-64$

$h (x + 8) = x ^ 2 + 18x$

Answer:

The results of evaluating the function are:

$h (8) = 0$

$h (1.8) = -11.16$

$h (x + 8) = x ^ 2 + 18x$

5 0

3 years ago

I’ll give brainliest. Pls help me

gtnhenbr [62]

Answer:

Interpolation refers to using the data in order to predict data within the dataset. Extrapolation is the use of the data set to predict beyond the data set.

Step-by-step explanation:

Extrapolation and interpolation are both used to estimate hypothetical values for a variable based on other observations. There are a variety of interpolation and extrapolation methods based on the overall trend that is observed in the data.

5 0

3 years ago

Fruit bars are on sale for a limited time! Four fruit bars cost Emmie only $3. how much did each fruit bar cost ? Explain

AURORKA [14]

Answer: 0.75

Step-by-step explanation: you have to do 3 divided by 4 which gives you 0.75. To make sure your answer is right, you do 0.75 x 4 = 3

6 0

3 years ago

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