3 ways to express 3 to the 5th power as the product of powers
First expression
=> 3 x 3 x 3 x 3 x 3 - In this expression, we multiplied 3 5 times and the product is 243
Second expression
=> 3 ^ 5, in where ^ read as raised to the power, the product is also 243
Third expression
=> 3^2 x 3^3
=> (3 x 3) x (3 x 3 x 3)
=> 9 x 27, the product also equals to 243.
Answer:
A) y will increase by 4 unit.
B) y will decrease by 20 units
Step-by-step explanation:
Given equation that shows relation between x and y.
A) If x is increased by 4 units
New value of y =
So, change in y = new value of y- original value of y
Thus, the value of y will be increased by 4 units.
B) If x is decreased by 5 units
New value of y =
So, change in y = new value of y- original value of y
= -20
Thus, the value of y will be decreased by 20 units.
Answer:
9 3/4
Step-by-step explanation:
Strategy: first cancel the fraction part of the mixed number, then subtract the remaining fraction from the integer obtained.
10 1/2 - 3/4 = 10 1/2 - 1/2 - 1/4
= 10 -1/4
= 9 3/4
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Strategy: turn the subtracted fraction into a whole number by adding 1/4 to both parts of the problem, then subtract the whole number.
10 1/2 - 3/4 = (10 1/2 +1/4) -(3/4 +1/4)
= 10 3/4 -1
= 9 3/4
_____
We assume that you know that 1/2 + 1/4 = 3/4, or 3/4 -1/2 = 1/4. If you need to, you can get there by using the equivalent: 1/2 = 2/4.
Answer:
C
Step-by-step explanation:
New equation: y = -3(2y + 3) - 4
Distribute and simplify: y = -6y - 13
Add 6y: 7y = -13