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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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Tatiana starts with $8 in her piggy bank and saves $2 per week. Julian starts with $0 in his piggy bank and saves $4 per week.
SVETLANKA909090 [29]

Answer:

A. y=2x+8

B. y=4x

Step-by-step explanation:

These are both linear equations so use y=mx+b where m is the slope (rate you earn money) and b is the yintercept (starting point).

Tatiana starts at 8 dollars and gains 2 dollars a week so m is 2 and b is 8

Julian starts without any money and gets 4 dollars a week so m is 4 and b is 0

4 0
1 year ago
Ravi's age is six times that of Gaurav's. After 8 years Ravi will be twice as old as Gaurav. What are their present ages?
shusha [124]

Answer:

10 and 2

Step-by-step explanation

Nitesh is currently 10 and Ravi is currently 2

(2 times 5 is 10)

in 2 years Nitesh will be 12 and Ravi will be 4

(4 times 3 is 12)

3 0
3 years ago
1. Are the two expressions below<br> equivalent <br> 25x + 20y = 5x(5+4y)
alexandr402 [8]

Answer:

No.

Step-by-step explanation:

25x + 20y = 5x(5 + 4y)

Distribute the 5x inside the (5 + 4y).

5x * 5 = 25x

5x * 4y = 20xy

25x + 20y ≠ 25 + 20xy, so the two expressions below are not equal.

4 0
3 years ago
Tickets for a concert cost $10 each if you order them online, but you must pay a service charge of $8 per order. The tickets are
jekas [21]

Answer:

The system of equation to model the situation are:

C = 10t + 8

C = 12t

Step-by-step explanation: Complete question ( Let C be the total cost and let t be the number of tickets).

Ordering tickets online cost $10 plus additional service charge of $8.

Therefore total cost,C = 10t + 8

Buying tickets at the door cost $12

Therefore, total cost,C = 12t

The system of equation to model the situation are:

C = 10t + 8

C = 12t

3 0
3 years ago
What is the value of x in the equation
seraphim [82]
1/3 x - 1/2 = 18 1/2
1/3 x = 19 (add 1/2 on the right side to 18 1/2)
x = 57 (multiply the reciprocal of 1/3 and that will be 3/1 or 3 to 19 to get x by itself)
So, the answer is x = 57 (d. 57)
6 0
3 years ago
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