Answer:
-14/1
Step-by-step explanation:
f(x)=3x^2-18x+10
a = 3, b = -18 and c = 10
The vertex of a parabola is in form a(x+d)^2 + e
d = b/2a = -18/2(3) = -18/6 = -3
e = c-b^2/4a = 10 - -18^2/4(3) = 10-27 = -17
Now the vertex form of the parabola becomes 3(x-3)^2 -17
Use the vertex form of the parabola in the vertex form of y = a(x-h)^2 +k
Where a = 3, h = -3 and k = -17
Now you have y = 3(x-(-3))^2 +(-17)
Simplify: y = 3(x+3)^2 -17
The vertex becomes the h and k values of (3,-17)
Answer:
a. 9.42 hours b. $116.50
Step-by-step explanation:
The time in hours would be 9.42. Since it's 9 hours and 25 minutes, you find the answer by adding 9 + (25 min/60 min).
The gross pay would be ($11.50 * 8) + ($17.25 * 1.42). This is 92 + 24.495 = $116.50 total gross pay for Monday. The number 17.25 comes from the regular pay -- $11.50/h -- times 1.5 (since it's 1 1/2 the regular rate for over time), and the 1.42 comes from 9.42 h - 8 h, since the first 8 hours Lisa is paid the regular rate and any hours over that are the overtime rate.
Answer:
approx. 56.72 square inches
Step-by-step explanation:
A= 2πrh + 2πr2 = 2·π·1.15·6.7+2·π·1.152 ≈ 56.72146
LCM means Least common multiple
It would be 130