Answer:9a^2+18a-72
Step-by-step explanation:
9(a+1)^2-81
9(a+1)(a+1)-81
Open brackets
9(a^2+a+a+1)-81
9(a^2+2a+1)-81
9a^2+18a+9-81
9a^2+18a-72
Answer:
(-2,4)
Step-by-step explanation:
The solution is the point at which the two lines intersect, (-2,4). That point is the only one that satisfies (works) in both equations:
y = x + 6
4 = -2 + 6
and
y = -0.5x + 3
4 = -0.5(-2) + 3
4 = 1 + 3
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You can also solve it algebraically:
y = x + 6
y = -0.5x + 3
-0.5x + 3 = x + 6 [Use the value of y from the second equation in the first equation]
-1.5x = 3
x = -2
Use this is y = -2 + 6:
y = 4
(-2,4)
There are 9+7+6=22 marbles in total. The probability of selecting a yellow marble would be 9/22. By replacing that yellow marble with a green marble, you aren't changing the total marble count, so the probability of selecting a green marble would be 7/22. Because the two events are independent, their probabilities will get multiplied. Therefore, P(Yellow, then Green) = P(Yellow) * P(Green) = 9/22 * 7/22 = 63/484.
You multiply 24 by 4 witch leaves you with 96 canned dog food