Answer:
At 10:30 A.M.
Step-by-step explanation:
A college offers shuttle service from Dickson Hall or Lot B to its campus quad.
At 9:10 A.M the first shuttle leaves from their locations for the campus.
If the shuttles leave from Lot B every 10 minutes and leave from Dickson Hall every 12 minutes, then both the shuttles will leave their origin at the same time after 60 minutes.
This is because 60 is the smallest multiple of 10 and 12 which is common for them.
Therefore, 10:30 A.M. is the next time when both shuttles will depart for the campus at the same time. (Answer)
Answer:
(x, y) = (-2, 7), (0, -1), (3, -13), (-1, 3)
Step-by-step explanation:
To fill in the y-values, you need to put the x-value in the equation and evaluate.
<u>for x=0</u>
y = -4(0) -1 = -1
<u>for x=-1</u>
y = -4(-1) -1 = 4 -1 = 3
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To fill in the x-values, we can solve for x and then do as we did above.
y = -4x -1
y +1 = -4x . . . . add 1
-(y +1)/4 = x . . . divide by -4
<u>for y=7</u>
x = -(7 +1)/4 = -2
<u>for y=-13</u>
x = -(-13+1)/4 = -(-12/4) = 3
__
Then the table is ...
Answer:
x = -9
Step-by-step explanation:
the equation is 2^4x = 8^x - 3.
therefore 2^4x = 2^3(x-3)
since both have powers of 2
therefore
4x = 3(x-3)
4x = 3x - 9
4x -3x = -9
x = -9
Answer:
x > 69.49
Step-by-step explanation:
Step 1: Write out equation
2x - 13.7 > 125.28
Step 2: Add 13.7 to both sides
2x > 138.98
Step 3: Isolate <em>x </em>by dividing both sides by 2
x > 69.49
So <em>x</em> has to be greater than 70 in order to fit into the question context.
Answer:
32 + 9 = 9 + 32
Step-by-step explanation:
