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2 years ago

12

On Tuesday Jack bought four boxes. On Wednesday half of all the boxes that he had were destroyed. Write an expression for how ma

ny boxes Jack has now.

1 answer:

Kipish [7]2 years ago

5 0

Don’t check the links

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For the polynomial function ƒ(x) = x4 −25x2, find the zeros. Then determine the multiplicity at each zero and state whether the

AfilCa [17]

<u>ANSWER</u>

The zeros are $x=-5,x=0,x=5$

EXPLANATION

Given;

$f(x)=x^4-25x^2$ .

We can rewrite the function as

$f(x)=x^2(x^2-25)$

$\Rightarrow f(x)=x^2(x^2-5^2)$

$\Rightarrow f(x)=x^2(x-5)(x+5)$

The zeros are found by equating the function to zero.

$\Rightarrow x^2(x-5)(x+5)=0$

$\Rightarrow (x-5)=0$

The multiplicity is 1, since it is odd the graph crosses at this intercept. which is $x=5$

Or

$\Rightarrow (x+5)=0$

The multiplicity is 1, since it is odd the graph crosses at this intercept. which is $x=-5$

Or

$\Rightarrow x^2=0$

This last root has a multiplicity of 2.

That is

$x=0$ repeats two times.

Since the multiplicity is even, the graph touches the x-axis at the point $x=0$ .

See graph.

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3 years ago

If 6 books cost 10 dollars, how much would it cost to buy 1 book?

BaLLatris [955]

$10 / 6 = $1.67

total cost divided by number of books equals cost per book.

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3 years ago

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kodGreya [7K]

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