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ella [17]
2 years ago
10

Given the function f(c)=4|x-5|+3, for what values of x is f(x)=15?

Mathematics
1 answer:
Tju [1.3M]2 years ago
4 0
All you have to do is plug in 15 to f(x) to get

15=4|x-5|+3 then solve for x
12=4|x-5|
3=|x-5|

3=x-5
-3=x-5

x=8, -2

Hope this helped :)
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The first one which is 2 × 2 × 2 × 2 × 3

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Greatest common factor of 3 and 2
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Gcd(3,2)=1   Hope this helps!!

(The answer is 1)
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A salesperson earns $350.25 per week plus 12% of her weekly sales. Which of the following describes the sales necessary for the
Lynna [10]
Let X describes the sales

350.25+0.12x=800.5
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0.12x=800.5-350.25
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the sales necessary for the salesperson to earn at least $800.50 in one week is 3,752.08
5 0
3 years ago
Please answer this correctly
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12.5%

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6 0
2 years ago
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What is the value of y in the sequence below?<br> 2,y,18, -54,162,
snow_lady [41]

First, let's check if the sequence is geometric or arithmetric.

If arithmetric, the sequence will have common difference.

<u>A</u><u>r</u><u>i</u><u>t</u><u>h</u><u>m</u><u>e</u><u>t</u><u>r</u><u>i</u><u>c</u>

\displaystyle \large{a_{n + 1} - a_n = d}

d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.

<u>G</u><u>e</u><u>o</u><u>m</u><u>e</u><u>t</u><u>r</u><u>i</u><u>c</u>

\displaystyle \large{ \frac{a_{n + 1}}{a_n}  = r}

r stands for a common ratio.

To find the value of y, you can check the sequence. If we try subtracting the sequences, the differences are different. That means the sequences are not arithmetric. That only leaves the geometric sequence.

Let's check by dividing sequences.

We have:

  • 2,y,18,-54,162,...

Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.

\displaystyle \large{ \frac{ - 54}{18}  = - 3 } \\  \displaystyle \large{ \frac{ 162}{ - 54}  = - 3}

Hence, the sequence is geometric.

Because the common ratio is -3. Let these be the following:

\displaystyle \large{ a_{n + 1} = y } \\  \displaystyle \large{ a_n = 2 } \\  \displaystyle \large{ r =  - 3 }

From the:

\displaystyle \large{ \frac{a_{n + 1}}{a_n}  = r}

Substitute the values in.

\displaystyle \large{ \frac{y}{2}  =  - 3}

Multiply the whole equation by 2 to isolate y.

\displaystyle \large{ \frac{y}{2} \times 2  =  - 3 \times 2} \\  \displaystyle \large{ y =  - 6}

Therefore, the value of y is -6.

7 0
2 years ago
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