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2 years ago

10

Michael has eight coins of all which are quarters and pennies and all there were $1.76 how many of each kind of coin does Michae

l have?

1 answer:

Tju [1.3M]2 years ago

5 0

7 quarters and 1 penny

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What are all of the real roots of the following polynomial? f(x) = x4 - 13x2 + 36

GREYUIT [131]

ANSWER

A. -3, -2, 2, and 3

EXPLANATION

The given polynomial function is,

$f(x) = {x}^{4} - 13 {x}^{2} + 36$

To find the real roots, we equate the function to zero to obtain;

${x}^{4} - 13 {x}^{2} + 36 = 0$

We can solve this equation as a quadratic equation in
${x}^{2}.$

Thus we rewrite the equation as,

$({x}^{2})^{2} - 13 {x}^{2} + 36 = 0$

We split the middle term to get,

$({x}^{2})^{2} - 9 {x}^{2} - 4 {x}^{2} + 36 = 0.$

We factor to get,

${x}^{2} ( {x}^{2} - 9) - 4( {x}^{2} - 9) = 0$

We factor to get,

$( {x}^{2} - 9)( {x}^{2} - 4) = 0$

Either

${x}^{2} - 9 = 0$
or

${x}^{2} - 4 = 0$

$x = \pm \sqrt{9} \: or \: x = \pm \sqrt{4}$
$x = \pm3 \: or \: x = \pm2$

$x=-3,-2,2,3$

The correct answer is A

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3 years ago

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A line of best fit predicts that when x equals 28, y will equal 27.255, but y actually equals 26. What is the residual in this c

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Answer:

C) -1.255

Step-by-step explanation:

We are tasked to solve for the residual value given that when x equals 29, y will be equals to 27.255. But, when it is tested, y actual value is 26. The formula in solving residual is shown below:

Residual value = Observed value - predicted value

Residual value = 26 - 27.255

Residual values = -1.255

The answer is -1.255 for residual value.

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2 years ago

How can you write 2,000 in a exponent

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1,000 = 10^3 (3 because there are 3 digits after the first one)

2,000 = 2 * 10^3

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2 years ago

Trapezoid JKLM is shown on the coordinate plane below

Anna11 [10]

Answer:

b i think (im not really sure

Step-by-step explanation:

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2 years ago

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A publisher claims that the average salary paid at its company is $37,500, but it could differ by as much as $4,500. Write an ab

Arlecino [84]

Answer:

|x − 37,500| ≤ 4,500

Step-by-step explanation:

salary - 37,500 can be up +4500 or as negative -4500

as much as means less than or equal to

We use absolute values to indicate this

|x − 37,500| ≤ 4,500

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3 years ago

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