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Marina86 [1]
3 years ago
15

PLS HELP i will give 45 points if its right!

Mathematics
1 answer:
Marina86 [1]3 years ago
7 0

Answer:

1/16

Step-by-step explanation:

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The curve with the equation y=8x^2 + 2/x has one turning point.
anyanavicka [17]

Answer:

(1/2, 6).

Step-by-step explanation:

Turning points in a graph may exist whenever the derivative equals 0. Hence, let’s differentiate and then solve our function.

We have:

\displaystyle y=8x^2+\frac{2}{x}

Take the derivative of both sides with respect to x:

\displaystyle y^\prime=16x-\frac{2}{x^2}

Simplify:

\displaystyle y^\prime=\frac{16x^3-2}{x^2}

We will now set this equal to 0 and solve for x. Hence:

\displaystyle \begin{aligned} 0&=\frac{16x^3-2}{x^2} \\ 0&=16x^3-2 \\ 2&=16x^3 \\ \frac{1}{8}&=x^3 \\ \frac{1}{2}&=x \end{aligned}

Hence, the graph turns at x=1/2. This is the x-coordinate.

Then it follows that the y-coordinate will be:

\displaystyle{\begin{aligned} y&=8(\frac{1}{2})^2+\frac{2}{\frac{1}{2}} \\ y&=8(1/4)+2(2) \\ y&=2+4 \\ y&=6\end{aligned}

Hence, our coordinate Is (1/2, 6).

8 0
3 years ago
Which Set of Ordered Pairs Doesn’t Represent A Function DUE TONIGHT WILL GIVE BRAINLIEST
anygoal [31]

Answer:

The sewer is

Step-by-step explanation:

4 0
3 years ago
PLEASE HELP WILL GIVE BRAINLIEST AND 20 POINTS
Neporo4naja [7]

Answer:

2m-n / 3mn

Step-by-step explanation:

  1. combine the fractions by finding a common denominator
4 0
4 years ago
Read 2 more answers
A particular rocket taking off from the earth surface uses fuel at a constant rate of 12.5 gallons per minute the rocket initial
faltersainse [42]

Answer:

y=12.5x+225

Step-by-step explanation:

Let

x ----> the number of minutes

y ----> the amount of fuel in gallons

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the unit rate or slope

b is the y-intercept or initial value

we have that

The unit rate or slope is equal to

m=12.5\ \frac{gal}{min}

b=225\ gal ----> initial value (value of y when the value of x is equal to zero)

substitute

y=12.5x+225

3 0
3 years ago
The graph of a linear equation has a slope of -2 and passes through the point (-4,3) what is the equation of the line
valentinak56 [21]

Answer:

I need points

Step-by-step explanation:

nononon

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