(27⁽⁻ˣ⁺³⁾) (9⁽ˣ⁺¹⁾) = 81
Instead of using logarithmic to find x, Notice that 27, 9 and 81 are the perfect powers of 3. Since 27 = 3³, 9 = 3², and 81 = 3⁴, so
(3³⁽⁻ˣ⁺³⁾) (3²⁽ˣ⁺¹⁾) = 3⁴
3³⁽⁻ˣ⁺³⁾⁺²⁽ˣ⁺¹⁾ = 3⁴
If the bases are the same, then cancel it and bring the power as a new base.
3(-x+3) + 2(x+1) = 4
-3x + 9 + 2x + 2 = 4
-x + 11 = 4
-x = 4 - 11
-x = -7
x = 7
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Answer:
45
Step-by-step explanation:
Substitute i = 1, 2, 3, 4, 5 into the expression and sum the terms
3(1) + 3(2) + 3(3) + 3(4) + 3(5)
= 3 + 6 + 9 + 12 + 15
= 45
At most she can listen to her music in 16 different ways.
Answer:
777,223 meters squared
Step-by-step explanation:
To find the amount of carpeting, we must find the area of the floor of Tom's bedroom.
To find area, we multiply the length and width of the rectangle.
999 x 777 = 776,223
Remember, when we find the area, we must give the answer in square units.
Our final answer is 777,223 meters squared
