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Inessa [10]
2 years ago
5

35 is 15 less than k

Mathematics
1 answer:
Makovka662 [10]2 years ago
8 0

Answer:

35 = k-15

I can't really explain this, sorry.

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The function f(x) is a cubic function and the zeros of f(x) are -6, -3 and 1. The
jarptica [38.1K]

Answer:

P(x)=-5x^3-40x^2-45x+90

Step-by-step explanation:

<u>Equation of a Polynomial</u>

Given the roots x1, x2, and x3 of a cubic polynomial, the equation can be written as:

P(x)=a(x-x1)(x-x2)(x-x3)

Where a is the leading coefficient.

We know the three roots of the polynomial -6, -3, and 1, thus:

P(x)=a(x+6)(x+3)(x-1)

Since the y-intercept of the polynomial is y=90 when x=0:

90=a(0+6)(0+3)(0-1)

90=a(6)(3)(-1)=-18a

Thus

a = 90/(-18) = -5

The polynomial is:

P(x)=-5(x+6)(x+3)(x-1)

We must write it in standard form, so we have to multiply all of the factors as follows:

P(x)=-5(x^2+6x+3x+18)(x-1)

P(x)=-5(x^2+9x+18)(x-1)

P(x)=-5(x^3-x^2+9x^2-9x+18x-18)

P(x)=-5(x^3+8x^2+9x-18)

\boxed{P(x)=-5x^3-40x^2-45x+90}

3 0
2 years ago
5x - x + 12 +2x - 7 = 10
Degger [83]
Combine like terms. Like terms are completely the same excluding coefficients.
6x+5=10

Subtract 5 from both sides
6x=5

Divide bith sides by 6
x=5/6

Final answer: B
4 0
3 years ago
Read 2 more answers
Find the angle of rotation about the center of the square that maps A to D
Marrrta [24]

please give a more detailed question and i will be happy to try and help with your question

6 0
3 years ago
Write an expression for the following situation and solve. Mr. Simms bought 20 pencils. He used 1/4 of the pencils and then gave
Aleonysh [2.5K]
Hi! 
1/4 of 20 pencils are 5 pencils.
Since he gave away 4 pencils,
Total = 5 + 4 = 9
Mr. Simms use and give away total 9 pencils.
6 0
3 years ago
Find the perimeter (add all sides) of a square when side a= - 41x²
Dafna11 [192]

Answer:

-164x^2

Step-by-step explanation:

The Perimeter of a square is 4s where s is the length of 1 side.

So P=4(-41x^2) 41*4=164 ----> P=-164x^2

5 0
3 years ago
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