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3 years ago

Please help!!! 20 points

Mathematics

1 answer:

V125BC [204]3 years ago

6 0

Answer:

A) x = (-8log(6)-2log(17))/(-2log(17)+log(6))

Step-by-step explanation:

Taking the logarithm of the equation, you have ...

(x+8)log(6) = (2x-2)log(17)

Subtracting the right side from the equation gives ...

x(log(6) -2log(17)) +8log(6)+2log(17) = 0

Subtracting the constant and dividing by the coefficient of x gives ...

x = -(8log(6) +2log(17))/(log(6) -2log(17)) . . . . . matches selection A

___

You don't need to work out the whole solution to determine the correct answer choice. Once you take the initial log, you find that the x-coefficient includes a multiplier of 2log(17). This term only appears in the denominator of choice A. (The value of x will be found after dividing by the x-coefficient, so you know this must show up in the denominator of the answer.)

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what do the average rates of change of the function y= x+2 over the intervals {-2,0],[0,3], and [-2,3] indicate about the functi

kakasveta [241]

Answer:

The function is linear

Step-by-step explanation:

Given function:

y = x + 2

It is a line with the slope of 1.

Average rate of change is same in any interval of the linear function and it equals to the rate of change or slope of the line.

You can calculate the average rate of change in the given intervals and you will always get the value of 1.

4 0

2 years ago

HELP ASAP WILL GIVE 100 POINTS. Solve for x. 89(54x−36)+2=−34(−40+16x)+90x

PolarNik [594]

Solution:

Simplify the equation and solve.

89(54x − 36) + 2 = −34(−40 + 16x) + 90x
=> 4806x − 3204 + 2 = 1360 - 544x + 90x
=> 4806x = 1360 - 454x + 3202
=> 5260x = 4562
=> x = 4562/5260 = 2281/2630

The solution to the problem is 2281/2630.

3 0

2 years ago

GIVING 100 POINTS!!!!

IrinaK [193]

Answer:

As per dot plots we see the distribution of prices is close but majority of prices are concentrated in different zones. So MAD would be more similar by the look.

Let's verify

<h3>Neighborhood 1</h3>

Data

55, 55, 60, 60, 70, 80, 80, 80, 90, 120

Mean

(55*2+ 60*2+ 70+ 80*3 + 90+ 120)/10 = 75

MAD

(20*2+15*2+5+5*3+15+45)/10 = 15

<h3>Neighborhood 2</h3>

Data

100, 110, 110, 110, 120, 120, 120, 140, 150, 160

Mean

(100 + 110*3+ 120*3+ 140 + 150+ 160)/10 = 124

MAD

(24+14*3+4*3+16*3+16+26+36)/10 = 20.4

As we see the means are too different (75 vs 124) than MADs (15 vs 20.4).

7 0

3 years ago

Read 2 more answers

What is -3x^2-12x-10 in vertex form??

Alla [95]

If you type the equation on math way it will show you a graph for your answer!

5 0

3 years ago

A 15% discount saves you $5 off the price of an electronic game. How much do you save off the regular price if the discount is w

chubhunter [2.5K]

Answer:

The 45% off discount saves an additional $10 compared to the 15% discount for a total of $15 off regular price.

Step-by-step explanation:

We can find the original price of the game through a proportion. A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities. For example, we will compare percent over percent to an equal ratio of $ to $. Since 15% of 100% is the same ratio as $5 to the unknown original $ price, I write:

$\frac{15}{100} =\frac{5}{y}$

I can now cross-multiply by multiplying numerator and denominator from each ratio.

$15y=100(5)\\15y=500$

I now solve for y by dividing by 15.

$\frac{15y}{15} =\frac{500}{15} \\y= 33.33333....$

The original price was $33.34.

Now, we can find the amount if 45% off and then then compare the two discounts. To find the percent off I can multiply by 0.45(33.34)=15. The 45% off discount saves an additional $10 compared to the 15% discount.

4 0

3 years ago