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3 years ago

Please answer the picture below!

Mathematics

2 answers:

Margarita [4]3 years ago

6 0

3e-1.5f-.375 is the answer.

N76 [4]3 years ago

4 0

$\dfrac{1}{2} \bigg(6e - 3f - \dfrac{3}{4} \bigg)$

$\dfrac{1}{2} \bigg(6e\bigg) - \dfrac{1}{2} \bigg( 3f\bigg) - \dfrac{1}{2} \bigg (\dfrac{3}{4} \bigg)$

$3e - \dfrac{3}{2}f\ - \dfrac{3}{8}$

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Given <img src="https://tex.z-dn.net/?f=%20log_%7B2%7D%28x%29%20%20%3D%20%20%5Cfrac%7B3%7D%7B%20log_%7Bxy%7D%282%29%20%7D%20

Naily [24]

Answer:

$\displaystyle y = x^{-\frac{2}{3}}$

Step-by-step explanation:

Logarithms

Some properties of logarithms will be useful to solve this problem:

1. $\log(pq)=\log p+\log q$

2. $\displaystyle \log_pq=\frac{1}{\log_qp}$

3. $\displaystyle \log p^q=q\log p$

We are given the equation:

$\displaystyle \log_{2}(x) = \frac{3}{ \log_{xy}(2) }$

Applying the second property:

$\displaystyle \log_{xy}(2)=\frac{1}{ \log_{2}(xy)}$

Substituting:

$\displaystyle \log_{2}(x) = 3\log_{2}(xy)$

Applying the first property:

$\displaystyle \log_{2}(x) = 3(\log_{2}(x)+\log_{2}(y))$

Operating:

$\displaystyle \log_{2}(x) = 3\log_{2}(x)+3\log_{2}(y)$

Rearranging:

$\displaystyle \log_{2}(x) - 3\log_{2}(x)=3\log_{2}(y)$

Simplifying:

$\displaystyle -2\log_{2}(x) =3\log_{2}(y)$

Dividing by 3:

$\displaystyle \log_{2}(y)=\frac{-2\log_{2}(x)}{3}$

Applying the third property:

$\displaystyle \log_{2}(y)=\log_{2}\left(x^{-\frac{2}{3}}\right)$

Applying inverse logs:

$\boxed{y = x^{-\frac{2}{3}}}$

7 0

3 years ago

A school is holding a talent show. A group of six friends entered the talent show and won the first place prize of $45, which th

Ghella [55]

Answer:

In the second group the individual members received a larger fraction of the prize money

Step-by-step explanation:

Division by Sharing

A certain amount M can be evenly split among n parties by performing a division M/n.

The first group of six friends earned $45 and they split it evenly, i.e. the same amount goes to each member. Each of them received $45/6= $7.50 apiece.

The second group of four friends won the second-place prize of $35 and they split it evenly also. Each member received $35/4=$8.75.

By comparing both numbers, we see that 8.75 is a bigger fraction of 35 that 7.50 is of 45. Each member from the second-place price will receive more money than the first group.

We can conclude in the second group the individual members received a larger fraction of the prize money

4 0

3 years ago

Check to see the given number is a solution of the equation or inequality x+9=17;8

timofeeve [1]

Yes, 8 is a solution to the equation

6 0

3 years ago

The point P(-6, -6) is reflected over the x-axis. What are the coordinates of the resulting

Fed [463]

Answer:

It would be (6,-6)

Step-by-step explanation:

Hope this helps.

7 0

3 years ago

Eli is buying a townhouse that costs $276,650. He has $28,000 in savings and earns $4,475 a month. Eli would like to spend no mo

lutik1710 [3]

Answer:

The answer is: a. 30 year FHA, 3.5% down at a fixed rate of 6.5%.

Step-by-step explanation:

If Eli wants to pay as little as possible, and we start with a 30-year mortgage, among the percentages that must be paid, the lowest is 3.5%, in terms of the fixed rate, the lowest is 5%, but if we see the amount of 30 years, it is 10%, so although the fixed rate of 6.5% is higher than that of 5%, the payment is only made once, and the difference is not so much compared to 10% for 30 years.

The answer is: a. 30 year FHA, 3.5% down at a fixed rate of 6.5%.

7 0

3 years ago

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