A, She can buy from 0 to 12 bags, but no more.
Hint: There are several ways to proceed in this kind of problems, but usually the simplest and the one that will yield the most success on average is substituting.
Look at y variable and the expressions to which it is equal; substitute the easier-looking one in the more complicated.
Applying this, we get: 2x+2=x^2+3x-4
x^2+x-6=0.
Solving this equation of 2nd degree, we have a=1, b=1, c=-6 and we get Δ=25 and the solutions are -3 and 2. Hence, we get that the only possible values for x are -3 and 2.
To get the solutions, we have to also find the corresponding y-values:
For x=-3, y=2x+2=-4. For x=2, y=6.
Hence, the 2 pairs of solutions are: (-3,-4) and (2,6)
Answer:
If the angle is 32, then the tan of 32 degrees will be 0.625.
Step-by-step explanation:
This is useful because if you know either Opposite or Adjacent length, you can enter it in the equation above and solve for the missing length.
You can also re-write the equation above to solve for Opposite and Adjacent to get the following new equations:
Opposite = 0.625 x Adjacent
Adjacent = Opposite / 0.625
Answer:
7.34
Step-by-step explanation:
Answer:
96 pages.
Step-by-step explanation:
We know that Charlie read the same amount of pages each day, if we call <u>N </u>the number of pages read each day, his first number on the list was N, the second number was N + N = 2N, the third number was N + N + N = 3N....
His mom sums up these numbers and gets 432. Therefore we have that:
N + 2N + 3N + 4N + 5N + 6N + 7N + 8N = 432
36N = 432
N = 12.
Now we know that Charlie read 12 pages per day. With this information we can conclude that by the end of the 8th day he read:
12 pages x 8 = 96 pages.