Answer:
4^3x=4^(4x+4)
Step-by-step explanation:
You can eliminate the first 2 options since those don’t make sense already, and the last option changed 64 to 2^6 which is correct, but when they changed the other side. They should have multiplied 8 to both x and 1 which would have made the whole term 2^(8x+8) and not 2^(8x+1). Left with the third option, 4 to the power of 3 is 64 so the left side makes sense, 4^3x=64^x, on the right side, 4^4 equals 256, so the whole exponent should multiply by 4 so from 256^(x+1) you get 4^4(x+1) giving 4^(4x+4) making the third choice the right answer.
6x-8y=48
to find the x intercept set y=0
6x - 8*0 = 48
6x = 48
divide by 6 on each side
x =48/6
x=8
(8,0)
to find the y intercept set x=0
6(0) - 8y = 48
0 - 8y = 48
-8y = 48
divide by -8 on each side
y = -6
(0,-8)
Ok well..
7 (3) = x
meaning 7 times 3= 21 toys altogether! :)
Answer:
<u>180 miles</u>
Step-by-step explanation:
- Ann's car can go 288 miles on 8 gallons
<u>Base rate</u>
- = No. of miles / No. of gallons
- = 288 / 8
- ⇒ 36 miles per gallon [Important to rememeber!]
<u>5 gallons</u>
- Distance for 5 gallons = base rate x 5
- Distance = 36 x 5
- Distance = <u>180 miles</u>