Answer: x = 1/16
Step-by-step explanation:
Since the inverse of a Logarithm is an exponential function, we know that the final solution has to involve an exponential function somewhere in it.
1. log B(2) {x} = -4 || given
2. x = 2 ^ -4 || Logarithm rule that allows you to move the base of the logarithm to the base of the exponent on the other side. For example, if you had log B(5) {x} = 3, the base of 5 would move over to the other side and it would be raised to 3; x = 5^3.
3. x = (1) / (2^4) || Simplify. Use the negative exponent rule. This rule always leaves a numerator of 1, and a denominator of your exponent. In this case, it will be 2 ^ -4, so you will do 2^4 which is 16 and you will put that over 1. Resulting in your final answer of x = 1/16
Answer:
Janet should receive $1.20
Kay should receive $0.80
Step-by-step explanation:
Janet=2 gallons
Kay=1 3/4 gallons=1.75
Total=2+ 1 3/4
=2+7/4
=8+7/4
=15/4 gallons
They agreed to share it equally
15/4÷3
=15/4×1/3
=15/12=1.25
=5/4 each individual gets 5/4
Janet=2-1.25=0.75
Janet gave up 0.75 gallonsof her water
The percentage is
0.75/1.25×100
=0.6×100
=60%
Kay=1.75-1.25=0.50
Kay gave up 0.50 gallons of her water
The percentage is
0.50/1.25×100
=0.4×100
=40%
Janet gets 60% of $2
60/100×$2
=0.6×$2
=$1.2
Kay gets 40% of $2
=40/100×$2
=0.4×$2
=$0.8
Hi friend,
<span>D) All real numbers.
Hope this helps you!</span>
Answer: a^3
Step-by-step explanation: Reduce the expression by cancelling the common factors
Hope this helps! :) ~Zane
Answer:
(-20, 0)
Step-by-step explanation:
to find x intercept we have to substitute 0 into y and solve for x
0 = -x - 20
rewriting the equation
-x - 20= 0
-x = 20