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3 years ago

Write a quadratic function whose zeros are -3 and -4

Mathematics

1 answer:

andreev551 [17]3 years ago

6 0

Answer:

f(x) = (x -(-3))(x -(-4))

Step-by-step explanation:

The function can be written as the product of binomial terms whose values are zero at the given zeros.

(x -(-3)) is one such term

(x -(-4)) is another such term

The product of these is the desired quadratic function. In the form easiest to write, it is ...

f(x) = (x -(-3))(x -(-4))

This can be "simplified" to ...

f(x) = (x +3)(x +4) . . . . simplifying the signs

f(x) = x^2 +7x +12 . . . . multiplying it out

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Which of the following is true for the relation f(x) = x2 + 8? Only the inverse is a function. Both the equation and its inverse

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ANSWER

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EXPLANATION

$f(x)=x^2+8$ is graphed above with its inverse $f^{-1}(x)=\pm \sqrt{x-8}$ .

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The equation $f(x)=x^2+8$ passed the vertical line hence it is a function.

However, $f^{-1}(x)=\pm \sqrt{x-8}$ failed the vertical line test, hence it is not a function.

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Answer:

Step-by-step explanation:

all sides are the same

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12. Currently, there are 350 students in the seventh grade at Winchester

sweet [91]

Answer:

Winchester Heights Middle School plan to have 385 students in the upcoming school year.

Step-by-step explanation:

Total number of students in the seventh grade at Winchester Heights Middle School = 350

For the upcoming school year, they are planning to increase the number of seventh graders by 10%.

Rate of increase = r = 10% = 0.1

Formula : $N(t)=N_0(1+r)^t$

Where $N_0$ = initial population = 350

r = rate of increase =0.1

N(t)=Population after t years

t = time in years

So, Population after 1 year = $350(1+0.1)^1 =385$

Hence Winchester Heights Middle School plan to have 385 students in the upcoming school year.

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