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irina1246 [14]
3 years ago
8

Please Help!!!

Mathematics
1 answer:
aev [14]3 years ago
7 0

Answer:

p(x) =  {x}^{4}  +  {x}^{3}   - 7 {x}^{2} - x + 6

Step-by-step explanation:

The polynomial function has zeros

x=1, x=2,x=-3,x=-1

This means the factored form of the polynomial is

p(x) = (x - 1)(x + 1)(x + 3)(x - 2)

We expand to get:

p(x) = ( {x}^{2}   - 1)( {x}^{2}  + x - 6)

We expand further to get:

p(x) = {x}^{2}( {x}^{2}  + x - 6) - 1({x}^{2}  + x - 6)

p(x) =  {x}^{4}  +  {x}^{3}  - 6 {x}^{2}  -  {x}^{2}  - x + 6

This simplifies to:

p(x) =  {x}^{4}  +  {x}^{3}   - 7 {x}^{2} - x + 6

This is the standard form of the polynomial since it is written in descending powers of x.

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Please help thank you and show all work.
Daniel [21]
Question 1:

Look at the first attached image.

We want to solve for the height of the smaller building. Let's start by making a right triangle with angle of 15 degrees and adjacent side of 51 m.

Let's solve for the other leg. Multiply the tangent with 51 m to get the length of the other leg.

51*tan(15)
\approx 14

Now, subtract that from 207 to get the height of the smaller building.

207-14=193

That's your answer.

Question 2:

The angle of elevation is congruent to the angle of depression because they are alternate interior angles.

Thus, you can choose the 1st and 4th choices as your answer.

Question 3:

Look at the second attached image.

Angle E is congruent to angle D for the same reasons mentioned in the last question.
We can create an equation.

3x+1=2(x+8)

Distributive property

3x+1=2x+16

Subtract both sides by 1 and 2x

x=15

Since E and D are congruent, just plug this value into one of the equations for E or D. You get 46.

The third choice is your answer. Hope this helps! :)

6 0
3 years ago
Consider the following number line:
Tatiana [17]
Point A - 1
Point B - 5/6
Point C - 1/3

MARK ME BRAINLIEST TYSM!
Have a nice day <333
8 0
2 years ago
2 moreee subs to reach Ok guys ik that this isn't a part of academic but i wanna say a story ... since i had 15 subs ive always
KATRIN_1 [288]

Answer:

i'll sub :) <3

Step-by-step explanation:

3 0
3 years ago
Allison sent and received 240 text messages last month. 20% of those messages were sent to her best friend. How many text messag
goldenfox [79]

Answer:

48

Step-by-step explanation:

because 20% of 240 is 48.

7 0
3 years ago
What is undefined <br> I need help I don't understand this question
timurjin [86]
(4/9-9) and (4/0) are undefined as you can not divide by the value of 0.
4 0
3 years ago
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