A school population was predicted to increase by 50 students a year for the next 10 years. If the current population is 700 stud
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Expand the right side:
Notice that 98 = 2 * 7 * 7, so we have and
.
Then
and
x is
Step-by-step explanation:
Let us revise some rules of exponents
, then m = n
∵
- Factorize 27 and 9
∵ 27 = 3 × 3 × 3
∴ 27 = 3³
∵ 9 = 3 × 3
∴ 9 = 3²
Substitute them in the equation
∴
- Use the third rule to simplify each side
∴
- Use the fourth rule
∵ The bases of the two sides are equal
∴ Their exponents are equal
∴ 3x - 3 = 6x - 14
- Subtract 6x from both sides
∴ -3x - 3 = -14
- Add 3 to both sides
∴ -3x = -11
Divide both sides by -3
∴ x =
x is
Learn more:
You can learn more about equations in brainly.com/question/4934417
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