Answer:
x = 3, y = 1
Step-by-step explanation:
2 raised to what power gives you 16?
2*2*2*2 = 16 so 2^4
3 raised to what power gives you 9?
3*3 = 9 so 3^2
the exponent cannot be negative so x has to be greater than y and x cannot be the same as y otherwise you will get a 0.
x = 3 , y = 1
2^(3+1) = 2^4 = 16
3^(3-1) = 3^2 = 9
ANSWER
EXPLANATION
Let
be the equation.
We can choose any two ordered pairs to determine the equation of the relation.
We find m using the formula;
The equation becomes
When x=6, y=15.
This implies that,
The equation of the relation is therefore,
Answer with explanation:
We have to prove that, For any integer m, 2 m×(3 m + 2) is divisible by 4.
We will prove this result with the help of Mathematical Induction.
⇒For Positive Integers
For, m=1
L HS=2×1×(3×1+2)
=2×(5)
=10
It is not divisible by 4.
⇒For Negative Integers
For, m= -1
L HS=2×(-1)×[3×(-1)+2]
=-2×(-3+2)
= (-2)× (-1)
=2
It is not divisible by 4.
False Statement.
Answer:
262.25 inches
Step-by-step explanation:
65% of 165 is 107.25
107.25+165=272.25
so the truck is 262.25 inches long
