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stealth61 [152]
2 years ago
7

Write a quadratic function h whose zeros are 7 and -5. ​

Mathematics
1 answer:
maria [59]2 years ago
4 0

Answer:

<u>h = x² - 2x - 35</u>

Step-by-step explanation:

Making the factors :

It mentions the zeros are <u>7</u> and <u>-5</u>.

Then, the factors are :

⇒ (x - 7)

⇒ (x + 5)

===========================================================

The quadratic function will be :

⇒ h = (x - 7)(x + 5)

⇒ <u>h = x² - 2x - 35</u>

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A, C, & D only

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All of the following are listed on your credit report except option B) your checking account balance.

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(11+5)+(16+5)= 37 how to write a problem using the words
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For which k are the roots of k(x2+1)=x2+3x–3 real and distinct?
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Answer:

The solution for k is the interval (-3.5,1.5)

Step-by-step explanation:

we have

k(x^{2}+1)=x^{2}+3x-3

kx^{2}+k=x^{2}+3x-3

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we know that

If the discriminant is greater than zero . then the quadratic equation has two real and distinct solutions

The discriminant is equal to

D=b^{2}-4ac

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c=-(3+k)

substitute

D=3^{2}-4(1-k)(-3-k)\\ \\D=9-4(-3-k+3k+k^{2})\\ \\D=9+12+4k-12k-4k^{2}\\ \\D=21-8k-4k^{2}

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21-8k-4k^{2} > 0

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see the attached figure

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3 years ago
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Describe how y = f(x) is transformed by each of the
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Using translation concepts, it is found that the transformations are as follows:

  • In y = -f(x÷2) - 5, the function is reflected over the x-axis, horizontally stretched by a factor of 2 and shifted 5 units down.
  • In y = f(-x) + 5, the function is reflected over the y-axis and shifted 5 units up.

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

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In y = -f(x÷2)-5, we have that:

  • f(x) is multiplied by -1, hence it was reflected over the x-axis.
  • x is divided by two inside the domain, hence the function was horizontally stretched by a factor of 2.
  • 5 is subtracted from f(x), hence the function was shifted 5 units down.

In y = f(-x) + 5, we have that:

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More can be learned about translation concepts at brainly.com/question/4521517

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