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3 years ago

Leon drove 100 miles in 2 hours. Find the constant of variation.

Mathematics

2 answers:

Nikitich [7]3 years ago

7 0

The constant of variation is 50.
50 miles per hour.

Helga [31]3 years ago

3 0

To find the constant variation, solve for only one hour (in this case).

Divide 100 with 2

100/2 = 50/1

Each hour is 50 miles driven, so your constant variation is 50 mph

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There are 48 skittles in a bag but 12 are red.What percentage are NOT red skittles

IgorLugansk [536]

75% of the skittles are not red.

This is figured out by dividing 12 by 48. So you get .25 (25%) of the skittles are red, yeah? After that, you just subtract 25 from 100, and boom! 75% of the skittles are not red.

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2 years ago

Find the value of c so that (x-5) is a factor of the polynomial p(x)

liubo4ka [24]

I think the question is

Find the value of c so that (x-5) is a factor of the polynomial

$p(x) = x^3 + 2x^2 + cx + 10$

The other factor is going to be some quadratic. We can say a few things about its coefficients but let's start by saying in general it's

$q(x)= ax^2 + bx + k$

$p(x) = (x-5)q(x)$

$x^3 + 2x^2 + cx + 10 = (x-5)(ax^2 + bx+k) = ax^3 + (b-5a)x^2 + (k-5b)x - 5k$

Equating respective coefficients,

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$-5k = 10$

so we get

$b = 2 + 5 = 7$

$k = 10/-5 = -2$

$c = k - 5b = 2 - 5(7)= -37$

Answer: -37

Check:

$(x^2 + 7x - 2)(x - 5) = x^3 + 2 x^2 - 37 x + 10\quad\checkmark$

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2 years ago

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svetlana [45]

Answer:

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Step-by-step explanation:

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1 year ago

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Mandarinka [93]

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3 years ago

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Yakvenalex [24]

Answer:

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