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balu736 [363]
3 years ago
11

The equation 24x2+25x−47ax−2=−8x−3−53ax−2 is true for all values of x≠2a, where a is a constant.

Mathematics
1 answer:
Yuki888 [10]3 years ago
6 0

ANSWER EXPLANATION: There are two ways to solve this question. The faster way is to multiply each side of the given equation by ax−2 (so you can get rid of the fraction). When you multiply each side by ax−2, you should have:

24x2+25x−47=(−8x−3)(ax−2)−53

You should then multiply (−8x−3) and (ax−2) using FOIL.

24x2+25x−47=−8ax2−3ax+16x+6−53

Then, reduce on the right side of the equation

24x2+25x−47=−8ax2−3ax+16x−47

Since the coefficients of the x2-term have to be equal on both sides of the equation, −8a=24, or a=−3.

The other option which is longer and more tedious is to attempt to plug in all of the answer choices for a and see which answer choice makes both sides of the equation equal.

The answer is B

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Plug in the numbers:
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Your equation should now look like this;
y = (3)^2 - 6 (3) +7
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3^2 = 9
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3 years ago
The frequency with which a cricket chirps varies directly with the temperature. If the cricket chirps 100 times per minute in 80
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The answer is: D) 115

The explanation is shown below:

1. You have that the frequency with which a cricket chirps varies directly with the temperature, which you can express it as following:

y=kx

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2.  If the cricket chirps 100 times per minute in 80° weather, you can calculate k as below:

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they've invested to earn $20 in a savings account that offer 3% return on the investment the value of david's investment will be
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I=PRT
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R=rate
T=time
basically
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P=20
R=3%=0.03
T=?
I=PRT
380<u><</u>I=PRT
380<u><</u>20(0.03)(T)
380<u><</u>0.6T
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