Answer:
see below
Step-by-step explanation:
Choose a couple of values for x. Figure out the corresponding values for y. Plot those points and draw a line through them.
Let's choose x=0 and x=4. Then the corresponding y-values are ...
y = 2·0 = 0 . . . . . point (x, y) = (0, 0)
y = 2·4 = 8 . . . . . point (x, y) = (4, 8)
These are graphed below.
Answer:
m= 1/2.
Step-by-step explanation:
To solve this, we must make the bases equivalent. We can do this by finding the common base which is 5.
We know that 125= 5³ and 25=5², which will help us in this equation. We can rewrite the equation substituting this for the original numbers:
Distribute the exponents to get:
Now, we can simply ignore the '5' and solve for 'm':
6m= 2m+2
4m= 2
m= 1/2.
Answer: The computer can solve 24,000 math problems in 2 minutes.
Step-by-step explanation:
1.) Multiply 1 * 200, in order to get the amount of problems solved in a second, which would be 200.
2.) Multiply 200 * 60 to get the amount of problems solved in a minute, which would be 12,000.
3.) Multiply 12,000 * 2 in order to get the amount of problems solved in 2 minutes, which would be 24,000.
Answer:
Step-by-step explanation:
Time taken to drive to work = 1 hr
Time taken to drive home = 1 hr
Time taken to drive from home to work and back home again ( IN ONE DAY)
=1 + 1 = 2hrs
So time taken for driving to and from work for 5 days = 2hrs × 5 days = 10 hrs .
Answer:
n = -12
Step-by-step explanation:
(-2/3)n + 7 = 15
(-2/3)n+7-7 = 15-7 Subtract by 7 on both sides
(-2/3)n = 8 Multiply by the reciprocal of the fraction, which is
(-2/3)n*(-3/2) = 8(-3/2) This makes it so you get n *1 and isolates n.
n = -24/2 = -12
