Turn F(x) into vertex form:
y=x^2+8x+6
y-6=x^2+8x
y-6+16=x^2+8x+16
y+10=(x+4)^2
Thus the vertex is (-4,-10)
This is a minimum because the parabola is up up, or is positive
Answer:
a) the probability of winning A and B is 0.4 (40%)
b) the probability of not winning either project is 0.1 (10%)
Step-by-step explanation:
if 2 events are independent then
P(A∩B)=P(A)*P(B)
where
P(A)= probability of winning project A
P(B)= probability of winning project B
P(A∩B)= probability of winning projects A and B
replacing values
P(A∩B)=P(A)*P(B) = 0.50 * 0.8 = 0.4
b) since
P(A∪B) = P(A) + P(B) - P(A∩B) = 0.50 + 0.8 - 0.4 = 0.9
where
P(A∪B) = probability of winning A or B
therefore
probability of not winning either project = 1 - P(A∪B) = 1 - 0.9 = 0.1 (10%)
Answer:
8.5% interest rate
Step-by-step explanation:
Principle: $4000
Interest rate: x
Time : 5 years
4000( 5 ) ( x ) = Interest
4000x = 1700/5
4000x = 340
x = 0.085 or 8.5% interest rate
<em>Check:</em>
8.5% x 4000 x 5
= 340 x 5
= 1700
Answer:
$48.5
Step-by-step explanation:
There are ten children and the total made is $485. So:
485/10 = $48.5
