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3 years ago

How many positive two-digit integers are factors of both 100 and 150?

Mathematics

1 answer:

Nataliya [291]3 years ago

3 0

Answer:

There are 3 positive 2 digit integers that are factors of both 100 and 150

Step-by-step explanation:

Factors of 100:

1, 2, 4, 5, 10, 20, 25, 50, 100

Factors of 150:

1, 2, 4, 5, 6, 10, 15, 25, 30, 50, 75, 150

Common factors between these numbers:

1, 2, 4, 5, 10, 25, 50

Common factors that are positive 2 digit integers:

10, 25, 50

There are 3 positive 2 digit integers that are factors of both 100 and 150

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3 years ago

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deff fn [24]

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Step-by-step explanation:

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3 years ago

Suppose f(7) = 5, f'(7) = 8, g(7) = 3, and g'(7) = 4. Find h(7) and h'(7), where h(x ) = 4f (x) + 3g(x).

dusya [7]

Answer:

h(7) = 29

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Step-by-step explanation:

If $h(x) =4f(x)+3g(x)$ , to find h(7) we can substitute the values of f(7) and g(7) and we get:

$h(7)=4f(7)+3g(7)\\h(7)=4(5)+3(3)\\h(7)=20+9\\h(7)=29$

To find the derivative, we know that the derivative of a sum of functions equals the sum of the derivatives of those functions.

This would mean that $h'(x)=4f'(x)+3g'(x)$ , we can substitute the values for f'(7) and g'(7)

$h'(7)=4f'(7)+3g'(7)\\h'(7)=4(8)+3(4)\\h'(7)=32+12\\h'(7)=44$

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3 years ago