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4 years ago

Which expression converts 100 inches per minute to feet per minute?

Mathematics

1 answer:

Studentka2010 [4]4 years ago

6 0

100 inches Over 1 minute times 1 foot over 12 inches

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GrogVix [38]

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3 years ago

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3 years ago

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butalik [34]

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3 years ago

Factor 8x^+10x-8 this ^ is 2

lesantik [10]

Answer:

C) 2(4x² + 5x - 4) is your answer

Step-by-step explanation:

Factor out common factors from all terms.

Note the factors for 8 & 10:

8: 1, 2, 4, 8

10: 1, 2, 5, 10

2 is the largest common factor, and so factor out 2

8x² + 10x - 8 = 2(4x² + 5x - 4)

C) 2(4x² + 5x - 4) is your answer

Note that you cannot factor out anymore common factor numbers or variables.

7 0

3 years ago

Please help with the questions in the image

iren2701 [21]

Step-by-step explanation:

This seems to be calculus 1.

Question a

We have $-2x^3 + 5x^2 + 9$

m = slope = derivative

Find the derivative / slope of $-2x^3 + 5x^2 + 9$

We do this by differentiating the polynomials. There are a few methods to do this but I am going to use the power rule, which we multiply the constant by the exponent on the variable and subtract one from the exponent.

$\frac{d}{dx}(-2x^3 + 5x^2 + 9)$

$-6x^2 + 10x$

$m = -6x^2 + 10x$ when x = a

Now that we have this information, we can answer question b

Question b

The tangent line for Point (1, 12)

First find the slope by using our derivative.

$m = -6x^2 + 10x$

$m = -6(1)^2 + 10(1)$

$m = -6 + 10x$

$m = 4$

Now that we have our slope, use point slope form to find our tangent line

$y - 12 = 4(x - 1)$

$y(x) = 4x + 8$

Now lets do the same for the Point (2, 13)

Find the slope at the point.

$m = -6x^2 + 10x$

$m = -6(2)^2 + 10(2)$

$m = -24 + 10$

$m = -4$

Now find the tangent line using point slope form of a line.

$y(x) - 13 = -4(x - 2)$

$y(x) = -4x + 21$

Now graph the lines, which I have done and you can see by viewing the image I have attached.

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4 years ago