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solong [7]
3 years ago
5

One x-intercept of the graph of the of the cubic function f(x) = x^3 – 2x^2 – 111x – 108 is –9.

Mathematics
1 answer:
katrin2010 [14]3 years ago
3 0

Answer:

The zeros of the given function are -9,-1 and 12.

Step-by-step explanation:

The given function is

f(x)=x^3-2x^2-111x-108

It is given that the x-intercept of the graph is -9, therefore -9 is a zero of the function.

Since -9 is the zero of the function, therefore (x+9) is a factor of f(x). Use synthetics method or long division method to divide the function by (x+9).

f(x)=(x+9)(x^2-11x-12)=0

f(x)=(x+9)(x^2-12x+x-12)=0

f(x)=(x+9)(x(x-12)+(x-12))=0

f(x)=(x+9)(x-12)(x+1)=0

Use zero product property and quote each factor equal to 0.

x=-9,-1,12

Therefore zeros of the given function are -9,-1 and 12.

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A one year membership to metro gym costs $460. There is a fee of $40 when you join, and the rest is paid monthly. Write an equat
zysi [14]

Answer: The equation that would help members to find how much they would pay per month is

40 + 12x = 460

Step-by-step explanation:

Let x represent the amount of money that members would pay per month.

Let y represent the number of months for which a member uses the gym.

There is a fee of $40 when you join, and the rest is paid monthly. This means that the cost of using the gym for x months would be

40 + xy

A one year membership to metro gym costs $460. Therefore are 12 months in a year. Therefore,

40 + 12x = 460

12x = 460 - 40 = 420

x = 420/12 = 35

The equation that would help members to find how much they would pay per month is

8 0
3 years ago
what is the prime factorization of 55^5 x 65 x 9^15 and why? A. 3^15 * 5^6 *11^5*13 B. 3^30 *5^6 *11^5 *13 C.3^30 * 5^6 *11 * 13
leonid [27]

Answer:

B

Step-by-step explanation:

1. Lets focus on 55^5

55^5 = 11^5 * 5^5

2. now on 65

65 = 5 * 13

3. now on 9^15

9^15=(3^2)^15 = 3^30

4. combine all three parts

11^5 * 5^5 * 5 * 13 * 3^30 = 11^5*5^6*13*3^30

so our answer is B

7 0
3 years ago
Y+2=-3(x-4)<br> Find the missing value in the solution to the equation. ( , -2)
koban [17]

Answer:

(4,-2)

Step-by-step explanation:

plug in and simplify;

y+2=-3(x-4)

-2+2=-3(x-4)

0=-3x+12

3x=12

x=4

7 0
3 years ago
Read 2 more answers
Is 25x²-40xy+16y²a perfect square number? why?​
Crank

Answer:

yes

Step-by-step explanation:

25x² - 40xy + 16y² can be factored as

(5x - 4y)² ← a perfect square

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Al bob and carl can life 240 pounds.
padilas [110]

Answer:

1020 POUNDS.

Step-by-step explanation:

i think im not sure if i am wrong tell me and i wiil redo! :)

5 0
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