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charle [14.2K]
4 years ago
13

Write a quadratic function f whose zeros are -2 and -9

Mathematics
2 answers:
IgorLugansk [536]4 years ago
7 0
Can you restate the question more better to help you ?
olchik [2.2K]4 years ago
6 0

Answer:

f(x) = x^2 + 11x + 18.

Step-by-step explanation:

As the zeroes are -2 and -9 the factored form  is

f(x) = a(x - (-2))(x -  (-9))   where a is some constant.

As we want any quadratic function with theses zeros we  can let a = 1 so:

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

f(x) = x^2 + 2x + 9x + 18

f(x) = x^2 + 11x + 18.

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AVprozaik [17]
The product to your problem is 3.5
3 0
3 years ago
Use the slope formula to find the slope between the given two points (-4,1)and -2,-5)
yuradex [85]

Answer:

Step-by-step explanation:

(x₁ , y₁) = (-4, 1)  &    (x₂ , y₂) =(-2 , -5)

Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\dfrac{-5-1}{-2-[-4]}\\\\\\= \dfrac{-6}{-2+4}\\\\\\= \dfrac{-6}{2}\\\\\\= - 3

8 0
3 years ago
What is a common dominator for 5/6+1/6
german

Answer:

6

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A high school guidance counselor determined the following information regarding students and their likelihood of playing a sport
iogann1982 [59]

Conditional Probability

Given two events A and B (not excluding), the probability that A occurs given that B has occurred is called a <em>conditional probability</em> and is calculated as:

P(A|B)=\frac{P(A\cap B)}{P(B)}

Where P(A∩B) is the probability that A and B occur simultaneously and P(B) is the probability that B occurs.

Now with the given data, we must find the values of the required probabilities.

30% of the students play a sport (S), this means that:

70% of the students don't play a sport (NS).

65% of the students have a job.

Note that there could be students who both play sports and have a job.

Of the 30% of the students who play a sport, 50% have a job. This means that:

15% of the students play a sport and don't have a job

15% of the students play a sport AND have a job

65% - 15% = 50% of the students have a job and don't play a sport

That last number is the numerator of the equation given above:

P(A∩B) = 0.5

The event B corresponds to students that don't play a sport (NS), thus:

P(B) = 0.7

Thus we have:

P(A|B)=\frac{0.5}{0.7}=\frac{5}{7}

The required probability is 5/7 or 0.7143

4 0
1 year ago
Maya is learning to drive, so this weekend she practiced driving 1/2 of a mile with her mother and another 3/4 of a mile with he
vitfil [10]

Step-by-step explanation:

1/2 + 3/4

= 2/4 + 3/4

= 5/4

= 1 and 1/4 miles

6 0
3 years ago
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