The solution to this equation is x = 0 or x = 1
To find the solution, you use Desmos and enter x+2 in both one and 2^x+1 in box two. It will graph the lines for you and you take the x-coordinate of the two places where the lines overlap, and they overlap at (0,2) and (1,3).
Answer:
Step-by-step explanation:
Present age of Barry = b
Present age of sister = s
Barry is 8 years older than his sister means if we subtract 8 from present age of Barry both will be of equal age
s=b-8 ............(1)
In 3 years means we have to add 3 in their present age
s+3=b+3
then
he will be twice as old as
2(s+3)=(b+3
2s+6=b+3
2s=b+3-6
2s=b-3...............(2)
Put the value of s from (1) to (2), we have
2(b-8)=b-3
2b-16=b-3
2b-b=-3+16
b=13
Put the value of b in (1)
s=13-8
s=5
Present age of Barry = b = 13
Present age of sister = s = 5
Answer:
Layota
$47.5
Step-by-step explanation:
Let number of hours = x
Given that:
Oscar's charges :
First hour = $25
Additional hours = $15
Thus :
Total charge : 25 + 15(x - 1)
The piece wise equation given for Layota's charge rate :
First 3 hours = $30
Next 3 hours = $20
Hours greater Than 6 = $10
If total hours ; x = 5.5 hours
Oscar :
$25 + $15(5.5 - 1)
$25 + $15(4.5)
$25 + $67.5
= $92.5
Layota:
First 3 hours :
$30 * 3 = $90
Hours left :
$20 * (5.5 - 3)
$20 * 2.5 = 50
Total = $90 + $50 = $140
Layota charges more : 140 > 92.5
Difference :
$140 - $92.5
= $47.5
Answer: B. neither
<u>Step-by-step explanation:</u>
A function is even when f(x) = f(-x).
A function is odd when f(-x) = -f(x).
f(x) = 2x³ - x²
f(-x) = 2(-x)³ - (-x)²
= -2x³ - x²
f(x) = 2x³ - x² ≠ f(-x) = -2x³ - x² so it is NOT EVEN
-f(x) = -(2x³ - x²)
= -2x³ + x²
f(-x) = -2x³ - x² ≠ -f(x)= -2x³ + x² so it is NOT ODD
Therefore, it is NEITHER even nor odd.