<span>−8x+5−2x−4+5x
= -5x + 1
so when x = 2 then
</span>-5x + 1
= -5(2) + 1
= -9
hope it helps
Answer:
The question is incomplete, the complete complete question will be:
Lucy drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 9 hours. When Lucy drove home, there was no traffic and the trip only took 4 hours. If her average rate was 40 miles per hour faster on the trip home, how far away does Lucy live from the mountains?
Lucy live at a distance of 288 miles from the mountains.
Step-by-step explanation:
DATA:
To the mts DATA:
Time = 9 hrs
Rate = r mph
Distance = 9r miles
From the mts DATA:
time = 4 hrs
rate = r+40 mph
distance = 4(r+40) miles
SOLUTION
Distance to = Distance from
9r = 4r + 160
5r = 160
r = 32 mph
RESULT:
Distance = 9r = 9*32 = 288 miles
Answer:
1. 8 p^19
2. -x^8
3. -2y^14
Step-by-step explanation:
1. 8p^15·(–p)^4
We can separate things inside the powers (ab)^x = a^x * b^x
8 p^15 * (-1)^4 p^4
We can add the exponents when the bases are the same x^a * x^b = x^(a+b)
8 p^ (15+4)
8 p^19
2.(-2x^2)^2*(-.25x^4)
We can separate things inside the powers (ab)^x = a^x * b^x
(-2)^2 (x^2)^2 (-1/4) x^4
4 x^4 -1/4 x^4
We can add the exponents when the bases are the same x^a * x^b = x^(a+b)
4 * -1/4 x^ (4+4)
-x^8
3.((-.5)y^4)^3*(16y^2)
We can separate things inside the powers (ab)^x = a^x * b^x
(-1/2) ^3 (y^4) ^3 (16) y^2
When a power is raised to a power, we multiply x^a^b = x^(ab)
-1/8 * y^(4*3) * 16 y^2
-1/8 *16 y^12 * y^2
We can add the exponents when the bases are the same x^a * x^b = x^(a+b)
-2 y^(12+2)
-2y^14
Answer:the number of miles that Henry traveled is 15
Step-by-step explanation:
Let m represent the number of miles travelled.
City Cab charges a flat fee of $3 plus 0.50 per mile. This means that the total amount that city Cab charges for m miles would be
3 + 0.5m
Henry paid $10.50 for a cab ride across town.
The equation representing Henry's cab ride would be
3 + 0.50m = 10.50
Subtracting 3 from both sides of the equation, it becomes
3 - 3 + 0.50m = 10.50 - 3
0.5m = 7.5
m = 7.5/0.5 = 15 miles
