Answer:
Vertex is (-4, -18)
Step-by-step explanation:
f(x) = 
Let (h, k) be the vertex
An easy way to find h is to use the formula h = -b/2a
In your case where f(x) = 
a = 2 and b = 8
So, h = -8/2(1) = -8/2 = -4
Substitue -4 in for x to find k
k = (
) + 8(-4) - 2
= (16) - 32 - 2
= 16 - 32 - 2
= -18
Vertex is (-4, -18)
Note: Another way to find the vertex is to complete the square, but this can really be difficult in some cases
7 1/2 = 15/2 = 60/8
4 7/8 = 39/8
60/8 + 39/8 = 99/8 = 12 3/8 yards
Answer:
m=700+40x+50x-200
Step-by-step explanation:
m= amount of money in troy's account
x= amount of months elapsed
Answer:
The answer to this question is B
Step-by-step explanation:
its 6x-5
Complete question :
When Hiroto is writing, there is 0.92 probability that there will be no spelling mistakes on a page. One day, Hiroto writes an essay that is 11 pages long.
Assuming that Hiroto is equally likely to have a spelling mistake on each of the 11 pages, what is the probability that he will have a spelling mistake on at least one of the pages?
Answer:
0.60
Step-by-step explanation:
The question meets the requirement for a binomial probability distribution :
Recall:
P(x = x) = nCx * p^x * q^(n-x)
Given :
Probability of making a spelling mistake = 1 - p(not making) = 1 - 0.92 = 0.08
Hence,
p = 0.08 ; q = 0.92
n = 11
P(x ≥ 1) = 1 - p(x = 0)
P(x = 0) = 11C0 * 0.08^0 * 0.92^11
P(x = 0) = 1 * 1 * 0.3996373778857415671808
P(x = 0) = 0.399
P(x ≥ 1) = 1 - p(x = 0)
P(x ≥ 1) = 1 - 0.399
P(x ≥ 1) = 0.601
P(x ≥ 1) = 0.60
