This is simple algebra :)
First, we can write the question as an algebraic equation.
Given that Doug spent 40 more hours than Laura, we can represent Laura as (x) and Doug as (x+40).
"Doug and Laura spent a combined 250 hours." So we can write this as
(x) + (x+40) = 250
Now simplify:
2x + 40 = 250
Solve x by subtracting 40 from both sides of the equation:
2x = 210
Therefore:
x = 210/2
= 105
So Laura (x) spent 105 hours!
Answer:
answer a
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
1. plug in -10 for x
-2(-10) + 9
2. multiply -2 x -10 = 20
20 + 9
3. add 20 + 9 = 29
Answer:
{-3/2, 4}
Step-by-step explanation:
Use synthetic division here. If the remainder is 0, then the divisor is a root or solution.
Here we have x = -4. Perform the synthetic division as follows:
-4 4 -10 -24
-16 108
------------------------------
4 -26 84 The remainder is 84, which tells us -4 is NOT
a root/solution.
Try -3/2 as divisor this time:
-3/2 4 -10 -24
-6 24
------------------------------
4 -16 0 Remainder is 0, so -3/2 is a solution
Show in the same manner that 4 is a solution also. Or determine whether x - 4 satisfies 4x - 16 = 0 (it does).
Y = 5x + 4
Gradient = slope = 5
(0,4) = y - intercept
