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3 years ago

7

Fred and Matt are playing basketball. If x represents the points Matt ended with, and 3x represents the points Fred ended with,

what does that tell you about the relationship between Matt and Fred’s points?

1 answer:

Zina [86]3 years ago

4 0

It tells you that Fred has three times the score more than Matt.

This is because Matt has x points, Fred tops Matt by 3x points.

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If f(x) = g(x+1) and g(x) = x^2, find the value of f(3).

Elena-2011 [213]

$\bf \begin{cases} f(x)=&g(x+1)\\ f(3)=&g(3+1)\\ &g(4)\\[-0.5em] \hrulefill& \hrulefill\\ g(x)=&x^2\\ g(4)=&4^2\\ &16 \end{cases}\qquad \qquad f(3)\implies g(4)\implies 16$

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3 years ago

Find the area of the regular polygon 7 in

nata0808 [166]

Ummmm that’s a triangle but I guess I’ll solve for both 7x7= 49/2= 24.5 triangle. Polygon is different but I guess if the perimeter and line to the center is both 7 okay 7x5= 35x7= 245/2= 122.5 cause triangle is wxL /2 and polygon is AxP/2 soooo I hope this helped

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2 years ago

The polynomial y=x^2-2x 1 has a repeated factor. true or false?

aev [14]

Hello,

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Repeated factor: (x-1)

5 0

3 years ago

Simplify the expression below and write it as a single logarithm:

OLEGan [10]

The simplification of 3log(x + 4) – 2log(x – 7) + 5log(x - 2) - log(x^2) is $\log \left(\frac{(x+4)^{3} \times(x-2)^{5}}{(x-7)^{2} \times x^{2}}\right)$

<u>Solution:</u>

Given, expression is $3 \log (x+4)-2 \log (x-7)+5 \log (x-2)-\log \left(x^{2}\right)$

We have to write in as single logarithm by simplifying it.

Now, take the given expression.

$\rightarrow 3 \log (x+4)-2 \log (x-7)+5 \log (x-2)-\log \left(x^{2}\right)$

Rearranging the terms we get,

$\left.\rightarrow 3 \log (x+4)+5 \log (x-2)-2 \log (x-7)+\log \left(x^{2}\right)\right)$

$\text { since a } \times \log b=\log \left(b^{a}\right)$

$\rightarrow \log (x+4)^{3}+\log (x-2)^{5}-\left(\log (x-7)^{2}+\log \left(x^{2}\right)\right)$

$\text { We know that } \log a \times \log b=\log a b$

$\rightarrow \log \left((x+4)^{3} \times(x-2)^{5}\right)-\left(\log \left((x-7)^{2} \times\left(x^{2}\right)\right)\right.$

$\text { We know that } \log a-\log b=\log \frac{a}{b}$

$\rightarrow \log \left(\frac{(x+4)^{3} \times(x-2)^{5}}{(x-7)^{2} \times x^{2}}\right)$

Hence, the simplified form $\rightarrow \log \left(\frac{(x+4)^{3} \times(x-2)^{5}}{(x-7)^{2} \times x^{2}}\right)$

4 0

3 years ago

Read 2 more answers

What is the domain of the function?

seraphim [82]

Answer:

All real numbers

Step-by-step explanation:

Since we see the arrows going infinitely to the left and right of the graph, this means that the domain of this function is all real numbers

3 0

3 years ago