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cluponka [151]
3 years ago
13

Khan Academy

Mathematics
1 answer:
madam [21]3 years ago
3 0

Answer:

p(x) as a product of linear factors. p(x)=(x+3)(x-2)(x+6)

Step-by-step explanation:

(x+3) is the factor of polynomial p(x) = x^3 + 7x^2 - 36

So, we can divide p(x) = x^3 + 7x^2 - 36 by (x+3) to find other factors

The division is shown in figure attached.

The quotient is: x^2+4x-12

Now factoring the quotient to find linear factors

x^2+4x-12\\=x^2+6x-2x-12\\=x(x+6)-2(x+6)\\=(x-2)(x+6)

The factors are (x+3)(x-2)(x+6)

So, p(x) as a product of linear factors. p(x)=(x+3)(x-2)(x+6)

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Ivahew [28]

Answer: 1/7

Step-by-step explanation:

Total questions answered = 49

Harry correct answers = 42

Harry wrong answers = (49 - 42) = 7

Thus, the only fraction of wrong answers = (Number of wrong answers / Total number of questions answered)

i.e 7/49

= 1/7

Thus, harry answered 1/7 of the 49 questions wrongly.

8 0
3 years ago
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A sole proprietorship is worth w dollars. The owner loses a lawsuit
KIM [24]

Answer:

y - w

Step-by-step explanation:

<u>Step 1</u>

The owner can sell the sole proprietorship for w dollars, so you need to find out what remains of y to find the answer.

<u>Step 2</u>

Hence: y - w shows the remainder.

3 0
3 years ago
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A person on the top of a tall building looks through his binoculars at his friend that is 300 ft away from the building on the g
kvasek [131]

Answer:

520 feets

Step-by-step explanation:

The height of the building, h can be obtuined using trigonometry ;

From the attached diagram, opposite side = 300 feets ; height, h = adjacent side

Hence,

Tan θ = opposite / Adjacent

Tan 30° = 300 / height

0.5773502 = 300 / height

Height = 300 / 0.5773502

Height = 519.615

Height = 520 feets

5 0
3 years ago
I need someone help please !!
Masteriza [31]

It is asking for the tangent ratio at B.

In my answer; angle=theta

tan(theta)=opposite/adjacent

tan(theta)= 3/2

5 0
3 years ago
using the graphing method to solve the equation 13(0.25)^x=7 Round your answer to the nearest thousandth
netineya [11]

Answer:

x = 0.447

Step-by-step explanation:

You need to use your graphing calculator for this.

In y=, put 13(0.25)^x in Y1 and put 7 in y2. Using 2nd trace, find the intersections.

The answer I got was x = 0.447.

3 0
3 years ago
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