5
The reason is because |-5| is equal to 5. The absolute value bars make the number positive.
Answer:
k = -4
Step-by-step explanation:
-4k + 2(5k − 6) = −3k – 48
Distribute on the left side.
-4k + 10k - 12 = -3k - 48
Combine like terms on the left side.
6k - 12 = -3k - 48
Add 3k to both sides.
9k - 12 = -48
Add 12 to both sides.
9k = -36
Divide both sides by 9.
k = -4
Answer:
(600 miles) / (3 hours) = 200 miles/hour
= 321.8 km/h
I'm pretty sure the answer to A would be this: the common point that satisfies both equations (where they intersect) can be shown AS 4^(-x) = 8^(-x-1).
The answer to B is forming a table. This is quite easier than you think :D.
Start with x on one side (3) and go all the way down to -3 like this:
(x) 4^-x 8^-x-1
-3 64 (Do the same with this)
-2 16
-1 4
0 1
1 1/4
2 .0625
3 .015625
So basically you just fill in the x variable with every number between 3 and -3. After that, it's just a bit of math and you've done it!
C is a bit misguided. I think it would be quite simple to just use a graphing calculator, but you would have to actually input all the x and y values from the table. After that, you will have a graph.
I hope I helped! Good luck and good day!
Answer:
15
Step-by-step explanation:
Let x represent the number of hours it takes the larger hose to fill the pool. Then each hour, it contributes 1/x of the pool volume. Similarly, the other hose contributes a volume of 1/(1.5x) each hour.
The two hoses together contribute a volume of 1/9 of the pool volume each hour:
1/x +1/(1.5x) = 1/9
2.5/(1.5x) = 1/9 . . . . combine the fractions
22.5/1.5 = x . . . . . . multiply by 9x
15 = x
It takes the larger hose 15 hours to fill the pool alone.
