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anyanavicka [17]
3 years ago
12

Which of the following is an x-intercept of the graph of the function shown below?

Mathematics
2 answers:
DaniilM [7]3 years ago
8 0

Answer: Second option.

Step-by-step explanation:

By defintion, a Quadratic function is a polynomial of degree 2 and it has the following form:

f(x)=ax^2+bx+c

Therefore, the function given is Quadratic. This is:

f(x)=x^2 + 6x +9

The steps to find the roots (or the x-intercepts) of the function, are:

1. You must substitute f(x)=0:

0=x^2 + 6x +9

2. Now, you can factor the Quadratic equation. Choose two numbers whose sum is 6 and whose product is 9. Notice that:

3+3=6\\3*3=9

Therefore,  you will get a "Double root".

4. So the solution is:

(x+3)^2=0\\\\x=-3

Rashid [163]3 years ago
8 0

Answer:

B. x = -3

Step-by-step explanation:

To find the x-intercept, substitute 0 for y and solve for x.

x-intercept(s): (-3,0)

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According to the rational root theorem, which is a factor of the polynomial f(x)=3x^3-5x^2-12x+20?
MakcuM [25]

Answer:

(x-2), (x+2), (3x-5)

Step-by-step explanation:

Factors of 3: ±1, ±3

Factors of 20: ±1, ±2, ±4, ±5, ±10, ±20

Possible factors of the polynomial: ±1, ±2, ±3, ±4, ±5, ±10, ±20, .... (there's a lot more but you probably do not need to list them all)

Pick a number to divide the polynomial by (I picked 2)

(3x³-5x²-12x+20)÷(x-2) = 3x²+x-10

So (x-2) is a factor of f(x) = 3x³-5x²-12x+20

Factor 3x²+x-10 = (3x-5)(x-2) these are the other factors of f(x) = 3x³-5x²-12x+20

4 0
3 years ago
Which graft represent -3x+5y=-15
azamat

The graph of the function -3x+5y=-15 is a linear function we can draw it by finding the values of y for every value of x.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

-3x + 5y = -15

The above function shows a linear function we can write it as:

5y = 3x - 15

y = (3x - 15)/5

If x = 0, y = -3

x = 1, y = -2.4

x = 2, y = -1.8

x = -1, y = -3.6

x = -2, y = -4.2

Thus, the graph of the function -3x+5y=-15 is a linear function we can draw it by finding the values of y for every value of x.

Learn more about the function here:

brainly.com/question/5245372

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7 0
2 years ago
lars has been approved for$420,000, 20-year mortgage with an APR of 5.125%.What is his monthly payment ? How much interest would
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The answer is in the question
3 0
3 years ago
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Find the circumference,<br> 18 ft
Marysya12 [62]

Answer:

56.549 feet

Step-by-step explanation:

Diameter. ft in m

18′0″ 56.55. 678.6 17.24

18′1″ 56.81.

18′2″ 57.07. 684.9

18′3″ 57.33. 688.0

18′4″ 57.60. 691.2

18′5″ 57.86. 694.3 17.64

18′6″ 58.12. 697.4 17.71

18′7″ 58.38 700.6 17.79

18′8″ 58.64 703.7 17.87

18′9″ 58.90. 706.9 17.95

18′10″ 59.17. 710.0 18.03

18′11″ 59.43. 713.1 18.11

5 0
2 years ago
A and B are independent events. If P(A) = 0.50 and P(A and B) = 0.20, find P(B).
rewona [7]

The independent events are illustrations of probability, and the value of P(B) is 0.40

<h3>How to determine the value of P(B)?</h3>

The given parameters are:

P(A) = 0.50

P(A and B) = 0.20

Two events A and B are independent, if

P(A and B) = P(A) * P(B)

So, we have:

0.50 * P(B) = 0.20

Divide both sides by 0.50

P(B) = 0.40

Hence, the value of P(B) is 0.40

Read more about probability at:

brainly.com/question/25638875

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5 0
2 years ago
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