Answer:
Vertex form: f(x) = -10(x − 2)^2 + 3
Standard form: y = -10x^2 + 40x - 37
Step-by-step explanation:
h and k are the vertex coordinates
Substitute them in the vertex form equation:
f(x) = a(x − 2)^2 + 3
Calculate "a" by replacing "f(x)" with -7 and "x" with 1:
-7 = a(1 − 2)^2 + 3
Simplify:
-7 = a(1 − 2)^2 + 3
-7 = a(-1)^2 + 3
-7 = a + 3
-10 = a
Replace a to get the final vertex form equation:
f(x) = -10(x − 2)^2 + 3
Convert to standard form:
y = -10(x − 2)^2 + 3
Expand using binomial theorem:
y = -10(x^2 − 4x + 4) + 3
Simplify:
y = -10x^2 + 40x - 40 + 3
y = -10x^2 + 40x - 37
Try substituting some values in, and you will get your answer.
I'll do the first two.
y = (0) + 4 [=4]
y = (2) + 4 [=6]
In the table, the first two values for y are 6 and 8.
The first two values for y = x + 4 are 4 and 6.
Therefore, we can assume that the rate of change in the function y = x + 4 is less than the rate of change of the function represented in the table.
Answer:
13.18651685
13.9
Explain:
890-238=652
652/890=0.7325842697 (Find out the percentage)
We know that 1 gram of Element X will be fully decayed in 18 minutes and half of it in 9 minutes.
0.7325842697x18=13.18651685
As you see 18/13.18651685 will equal to 18 (not exactly since it is rounded)
And of course we need to round it to nearest tenth. So the answer would be 13.9!
Hmm... Let's see..
Alrighty: $400= 100% (the whole amount of money). 1% of that money= 400/100. If $400 invests once in one year, that is... 424 dollars.
Anyone out there who is looking for monthly payment, you invest 400 dollars with interest, the answer is 4934.22
Hope that helps ya!
Dianne saves $20 by purchasing the jeans on sale