Answer:
f(-2) = 0
f(0) = -4
f(4) = 12
Step-by-step explanation:
Given the function f(x) = x^2 - 4, we must plug in the values substituting x for each of the answers.
f(-2) = (-2)^2 - 4
-2 times itself is a positive 4, therefore:
f(-2) = 4 - 4
f(-2) = 0
We do the same for each answer.
f(0) = (0)^2 - 4
f(0) = -4
f(4) = (4)^2 - 4
f(4) = 16 - 4
f(4) = 12
7..
49 can be equally divided by seven, which means there would be 9 red roses in each center piece. And 63 can be equally divided by 7 which means there would by 7 white roses in each center piece.
hope this helps
Answer:
Step-by-step explanation:
a1 = 3(1) - 7 = - 4
a2 = 3(2) - 7 = -1
d = a2 - a1
d = -1 - (-4)
d = -1 + 4
d = 3
a60 = 3(60) - 7
a60 = 180 - 7
a60 = 173
n = 60
Sum = (a1 + a60) * n / 2
Sum = (-4 + 173) * 60/2
Sum = (169)*30
Sum = 5070
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Just to check, we'll use the second summation formula
d = 3
n = 60
a1 = -4
Sum = (2*a1 + (n - 1)*d )*n / 2
Sum = (2*(-4) + (60 -1)*3)* 60/2
Sum = (-8 + 59*3) * 30
Sum = (177 - 8)*30
Sum = 169 * 30
Sum = 5070
Same answer.
Answer:
No, because AB is 2/5 the length MN but CD is 1/3 the length QP.
Step-by-step explanation:
Comparing the corresponding sides, the length of AB is 4. The length of MN is 10. This makes their ratio 4/10 = 2/5.
The length of CD is 2. The length of QP is 6. this makes their ratio 2/6 = 1/3.
The ratios of the sides are not the same, so the figure is not proportional and is therefore not a dilation.
Answer:
A solution to a system of equations means the point must work in both equations in the system. So, we test the point in both equations. It must be a solution for both to be a solution to the system. Hope this helps.
