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3 years ago

Find the zeros and complete the factorization

Mathematics

1 answer:

vovikov84 [41]3 years ago

6 0

Answer:

$(x^{2} -\sqrt{5} )(x^{2} +\sqrt{5} )(x^{2} +4)$

Step-by-step explanation:

$x^{4} -x^{2} -20\\if x^{2} =y\\y^{2} -y -20\\y^{2} -5y +4y - 20\\y(y-5)+4(y-5)\\(y-5)(y+4)\\since x^{2} =y\\(x^{2} -5)(x^{2} +4)\\(x^{2} -\sqrt{5} )(x^{2} +\sqrt{5} )(x^{2} +4)$

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Based on the estimated cost of college from step 1, determine how you are going to pay for college. You will need to do some res

Nezavi [6.7K]

This is a budgeting exercise. Based on the estimated cost of college which was set at $58,000, the following steps indicate how I intend to pay for college:

Scholarship - 70% = $40,600
Work Study - 17.2% = $10,000
Loan - 12.76% <u> = $7, 400</u>

<h3>What is budgeting?</h3>

Budgeting is simply the process of outlining the total expense requirements of an individual person or a corporate entity and how those expenses will be satisfied and efficiently allocated.

From the above, the total sum of $58,000 will be satisfied from three sources:

Scholarships
Work-Study; and
Loan.

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8 0

2 years ago

PLEASE HELP I WILL DO ANYTHING

Andrej [43]

The proportionality constant of the given graph is k = 16.

<h3>How to find the proportionality constant of a graph?</h3>

The proportionality constant of a graph is the ratio of the y-coordinates to the x-coordinates.

Thus, it is written as k = y1/x1 = x2/y2 = ... = yn/xn

<h3>Calculation:</h3>

The given graph has the coordinates as

x = 0; y = 0 i.e., (0, 0)

x = 0.5; y = 8 i.e., (0.5, 8)

x = 1; y = 16 i.e., (1, 16)

x = 1.5; y = 24 i.e., (1.5, 24)

and so on.

Then, the ratio of y - coordinate to the x - coordinate is

k = 8/0.5 = 16

k = 16/1 = 16

k = 24/1.5 = 16

and so on.

So, the proportionality constant for the given graph is k = 16.

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1 year ago

I need help with this proof i am struggling w geometry...

EleoNora [17]

Your line 4 should have "angle DEC" not "angle EDC". The order of the letters is important. I marked the two angles ABC and DEC in the attached image below. They are alternate interior angles. Because DE || AB, this means the alternate interior angles are congruent.

Since C is the midpoint of EB, this means BC = CE by the definition of the midpoint. Basically EB is cut into two halfs BC and CE which are the same length.

After you establish all of what is mentioned previously, you would use the AAS congruence theorem. AAS stands for Angle Angle Side. One pair of angles are the vertical angles (see line 2). Another pair of congruent angles is the alternate interior angles (line 4). The sides are not between the pairs of angles mentioned. Again check out the attached image for more visual information.

Finally, if we know the triangles are congruent, then the corresponding parts are congruent (CPCTC). That leads to the conclusion that DC = AC.

Edit: it's actually ASA and not AAS because the sides are between the two angles (I was thinking of another diagram earlier)