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2 years ago

What is the solution set of |3x-2|=7

Mathematics

1 answer:

DanielleElmas [232]2 years ago

4 0

Because this equation is an absolute value, it can turn into two different equations:

3x - 2 = 7

3x - 2 = -7

3x = 9

3x = -5

x = 3

x = -5/3

The solution set is {3, -5/3}, Option C.

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2 years ago

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3 years ago

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3 years ago

1.06 x 10^7 and 2.65 x 10^4

lora16 [44]

Answer:

4.0 x 10^2

Step-by-step explanation:

We are finding the quotient of the numbers in scientific notation. At first, we can write the quotient as

$\frac{1.06~x~10^{7} }{2.06 ~x 10^{4} }$

Let's try to rewrite the numbers in scientific notation. We can rewrite 1.06 x 10^7 into

$1.06 ~x~10^{7}~ = 1060 ~x~10^{4}$

which are the same. We can also rewrite 2.65 x 10^4 into

$2.65~x ~10^{4} ~= 2.65~x~10^{2}$

Now we have

$\frac{1060~x10^{4} }{265~x~10^{2} }$

1060 divided by 265 results to 4. And if we divide scientific notation, we just subtract the exponents on 10s. In this case, we have 4 and 2. 4-2 yields 2.

Hence, the final answer to this problem is

$4.0~x~10^{2}$

6 0

2 years ago

640,3%,2 year simple interest earned to the nearest cent for each principal interest rate and time

UNO [17]

Simple interest = $38.4

Solutions
Simple interest, I = principal x rate x time
Principal = $640
Time = 2 years
Rate = 3% = 3/100 = 0.03
Remember, always divide your rate in percent by 100.
Don't forget to read the question and approximate correctly.

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3 years ago