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2 years ago

If a polynomial function f(x) has roots 3 and StartRoot 7 EndRoot, what must also be a root of f(x)?

Mathematics

2 answers:

irakobra [83]2 years ago

8 0

Answer:

Step-by-step explanation:

Edge 2021

Ivenika [448]2 years ago

4 0

Answer:

–√(7) must also be a root of f(x)

Step-by-step explanation:

Given that the roots of an equation is 3 and √(7). This means that x = 3 or √(7). Therefore, the function is definitely going to be:

f(x) = (x – 3)(x² – 7)

This is because we are dealing with √(7) and what brought about √(7) was x² = 7.

If this is the case, we know that x² = 7 will give

x = ±√(7)

Hence, our roots are x = 3 or √(7) or –√(7). Therefore, –√(7) must also be a root of f(x).

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Last question of the day what is the reciprocal of 9 2/3

allsm [11]

The reciprocal of 9 2/3 is 3/29

8 0

2 years ago

<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%20%7B%7D%5E%7B2%7D%20%20%2B%2012x%20%2B%2036" id="TexFormula1" title="f(x)

Mars2501 [29]

Answer:

Step-by-step explanation:

We are given the function:

$\displaystyle f(x) = x^2 + 12x + 36$

And we want to determine the value of:

$\displaystyle f^{-1}(225)$

Let this value equal <em>a</em>. In other words:

$\displaystyle f^{-1}(225) = a$

Then by the definition of inverse functions:

$\displaystyle \text{If } f^{-1}(225) = a\text{, then } f(a) = 225$

Hence:

$\displaystyle f(a) =225 = (a)^2 + 12(a) + 36$

Solve for <em>a: </em>

$\displaystyle \begin{aligned} 225 &= a^2 + 12a + 36 \\ \\ a^2 + 12a -189 &= 0 \\ \\ (a + 21)(a-9) &= 0\end{aligned}$

By the Zero Product Property:

$\displaystyle a + 21 = 0 \text{ or } a - 9 = 0$

Hence:

$\displaystyle a = -21 \text{ or } a = 9$

Thus, f(9) = 225. Consequently, f⁻¹(225) = 9.

In conclusion, our answer is B.

3 0

2 years ago

Use the quadratic function to predict y if x equals 7.<br> y = 2x2 – 3x + 3

zheka24 [161]

Answer:

Step-by-step explanation:

$f(7)=2(7)^{2} -3(7)+3$

$= 2(49)-21+3\\=98-21+3\\=80\\$

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3 years ago

One number is 3 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 510,

Brums [2.3K]

Answer:

Step-by-step explanation:

solve a + (3a) + (a + 100)=510

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2 years ago

Which of the following equations describes the graph?

skad [1K]

Using translation concepts, the change of f(x) = x to g(x) = x - 90 can be described as follows:

The base graph has been shifted down 90 units.

<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 this problem, we have that g(x) = f(x) - 90, that is, the base graph was shifted down 90 units.

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

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2 years ago