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Vladimir79 [104]
2 years ago
12

Taylor has nickels and dimes. The number of nickels is 7 less then eight times the number of dimes. If d represents the number o

f dimes then the number of nickels can be expressed as what
Mathematics
1 answer:
svp [43]2 years ago
4 0

Answer: 8d-7

Step-by-step explanation:

Given

Taylor has nickels and dimes

Number of nickels is 7 less than eight times the number of dimes

If d is the number of dimes, then number of nickels is given by

\Rightarrow \text{Number of Nickels = }8d-7

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Simplify the expression below and write it as a single logarithm:
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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
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The area of a rectangle is 72 square inches. The length of the rectangle is 8 inches. What is the width of the rectangle?​
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9 square inches, all you had to do was divide it

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Could someone please show me how to factor this using the x method
34kurt

Answer:

(x + 2) (8x + 3)

Step-by-step explanation:

8x^{2} + 19x + 6

= (x + 2) (8x + 3)

L = 3/a = 3/8

R = 16/a = 16/8 = 2

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Tom purchased 5 football games for 10.88 each and 5 pokemon games for 11.87 each with 6 20 bills. How much change did tom get
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Answer:

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Step-by-step explanation:

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