Answer: -2/7
Step-by-step explanation:
To find the slope, you use the formula
.

Now, we know the slope is -2/7.
2(3x - 4) = 2x + 12
6x - 8 = 2x + 12
4x = 20
x = 5
AB = 3(5) - 4 = 11
AC = 2(5) + 12 = 22
BC = 7(5) - 2 = 35 - 2 = 33
AC:BC = 22:33 = 2:3
To find the intersection points, you take x^2 - 4x + 9 = -2x + 17
This gives x^2 - 2x - 8 = 0,
which factorises to (x - 4)(x + 2) = 0, giving the solutions x = 4 or x = -2
From the graph, we can see that x is positive, meaning x = 4, so a = 4.
Substituting x = 4 into y = -2x + 17, we get y = -2(4) + 17 = 9, so b = 9.
a + b = 4 + 9 = 13. The answer is B.
Tammy’s bush would have 30 blooms. 80% of 30 is 24.
Answer:
15 3/4
Yes
Step-by-step explanation:
Given that :
8 boxes = 16 1/4 cups
Required cup of concentrated juice per day = 2 1/4 cups
Total cups that will be required for the entire 7 days :
Number of cups per day * number of days
2 1/4 * 7
= 15 3/4 cups
Since 8 boxes = 16 1/4 ; then 8 boxes will be enough