Answer: -273
Step-by-step explanation:
This is an arithmetic progression and the formula to find the nth term is given as:
= a + (n-1)d
Therefore, the 100th term will be:
= a + (n-1)d
= a + (100 - 1)d
= a + 99d
where a = 222
d = -5
Therefore, a + 99d = 222 + 99(-5)
= 222 + (-495)
= 222 - 495
= -273
Step OneUse the vertex to determine the basic equation for the parabola.
y = a(x - 2)^2 + 7 Notice the sign change for x. I have provided a graph to show how this would look with a = 1 (in red.)
What it means is the 2 has to be minus in order that the vertex will shift 2 units in the x direction.
Step TwoUse the point to solve for a.
y = a(x - 2)^2 + 7
When x = - 1
Then y = 3
3 = a(-1 - 2)^2 + 7 combine -1 with - 2
3 = a (-3)^2 + 7
3 = 9a + 7 Subtract 7 from both sides
3 - 7 = 9a
-4 = 9a Divide by 9.
a = -4/9
or
a = - 0.4444
y = -0.4444(x + 2)^2 + 7 <<<<<
answer
y = - 4/9 (x + 2)^2 + 7
Note: if you have choices, list them please.
Note: The red graph is y = (x - 2)^2 + 7 ; a = 1
The blue graph is y = - 4/9(x - 2)^2 + 7 ; a = - 0.44444
You should notice that the a does 3 things to the graph. Before you read the answer, what are those three things? The answer is in the comments.
YEAH OFC SHAWTY!
- so for A its -4^11 because if the powers have the same base and they are being multiplied you add the powers
- For B its the same idea, they have the same base, and are being multiplied so you add the powers- 13^9
- For C its similar, you have the same base, but since its Dividing, you subtract the powers. So, 9^5
- for D you pretend like the denominator has a power of 1 and subtract. So its -24^5-24^1 which hopefully puts it into perspective of being -24^4 becuase we subtracted the powers
I cant do 2 right now, but i will in a minute
<u>And for 3 his mistake is that they arent the same bases so he cant add the powers, he should have converted them to the same base first. </u>
Answer:
6
Step-by-step explanation:
3! or 3x2x1 because there are 3 different choices at the first, 2 choices on the second and the last flavour is third.