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Tpy6a [65]
3 years ago
7

Y1=4(5x-1), y2-=5x+1 and y1 is 344 more than 2 times y2

Mathematics
1 answer:
alisha [4.7K]3 years ago
4 0
 y_1=4(5^x-1) and y_2=5^x+1

y_1=344+2y_2
y_1=344+2(5^x+1)
4(5^x-1) = 344 + 2(5^x+1)
(4)(5^x)-4=344+2(5^x)+2
4(5^x)-2(5^x)=344+2+4
2(5^x)=350
5^x= \frac{350}{2}
5^x=175
log(5^x)=log(175)
x(log(5))=log(175)
x= \frac{log175}{log5}
x=3.21 (rounded to two decimal places)
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<h3>What is the amount of butterscotch chips needed by proportional reasoning?</h3>

It follows from the task content that the the amount of butterscotch chips needed can be determined by means of the proportion premise declared in which case;

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Step-by-step explanation:

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Answer: B)  4 & 1/6

Nice work on getting the correct answer.

============================================================

Explanation:

x is opposite the marked acute angle

5 is opposite the corresponding acute angle

So x and 5 are proportional to each other. We can form the ratio x/5

Similarly, 10 and 12 are proportional to one another. We can form the ratio 10/12.

Set those ratios equal to each other and solve for x

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x = 50/12 ...... divide both sides by 12

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