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3 years ago

6

Complete the following statement ( round your answer to the nearest hundredth) f(7)=

2 answers:

andrey2020 [161]3 years ago

7 0

Answer:

- 1.67

Step-by-step explanation:

To evaluate f(7) substitute x = 7 into the expression

f(7) = $\frac{3}{7+2}$ - $\sqrt{7-3}$

= $\frac{3}{9}$ - $\sqrt{4}$

= $\frac{1}{3}$ - 2

= $\frac{1}{3}$ - $\frac{6}{3}$

= - $\frac{5}{3}$ ≈ - 1.67

Elenna [48]3 years ago

5 0

Okay so in this question it says to solve f(7). This means to plug in the 7 every where you see an x, so that it looks like this: $\frac{3}{7+2} -\sqrt{7-3}$ Then you'll solve it like a normal equation.

Hope this helped! Let me know if there is anything I need to clarify or explain more in depth!

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3 years ago

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3 years ago

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What is 6.8 to a fully simplified mixed number

Alisiya [41]

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3 years ago

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allochka39001 [22]

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Step-by-step explanation:

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2 years ago

Can someone help me with this problem asap

xenn [34]

Answer:

f(x) = $x^4 - 2x^3 + 49x^2 - 18x + 360$ is the required polynomial.

Step-by-step explanation:

Given the zeroes (roots) of the polynomial are $-3i$ and $2 + 6i$ .

We know that complex roots occur in conjugate pairs.

So, this means that $+3i$ and $2 - 6i$ would also be the roots of the polynomial.

If $\pm 3i$ are to be the roots of the polynomial then the polynomial should have been: $x^2 + 9 = 0$ .

Now, to determine the polynomial for which $2 \pm 6i$ would be the roots.

Roots of the polynomial are nothing but the values of x (any variable) that would make the polynomial zero.

⇒ $x = 2 + 6i \hspace{35mm} x = 2 - 6i$

⇒ $x - 2 - 6i = 0 \hspace{25mm} x - 2 + 6i = 0$

The required polynomial would be the product of all the above polynomials.

$i.e., (x^2 + 9)(x - 2 + 6i)(x - 2 - 6i) = 0$

Multiply this to get the required equation.

⇒ $(x^2 + 9)(x^2 - 2x + 40)$

$\implies x^4 - 2x^3 + 40x^2 + 9x^2 - 18x + 360 = 0$

∴ The required polynomial is x⁴ - 2x³ + 49x² - 18x + 360 = 0.

3 0

3 years ago