We have the following:
To calculate the total money, you have to add the amounts that Paula won, as follows
Which means that in total they are $ 14.95
Answer:
9 and 11
Step-by-step explanation:
9 and 11 are before and after 10. so, 10 lies between them.
Answer:
A.
<u>The first 5 terms:</u>
- a₁ = (2*1 + 3) / 4 = 5/4
- a₂ = (2*2 + 3) / 4 = 7/4
- a₃ = (2*3 + 3)/ 4 = 9/4
- a₄ = (2*4 + 3) / 4 = 11/4
- a₅ = (2*5 + 3) / 4 = 13/4
B.
<u>The first 5 terms:</u>
- a₁ = (1 - 3) / (1 - 2) = 2
- a₂ = (2 - 3) / (2 - 2) = undefined
- a₃ = (3 - 3)/ (3 - 2) = 0
- a₄ = (4 - 3) / (4 - 2) = 1 / 2
- a₅ = (5 - 3) / (5 - 2) = 2 / 3
Answer:
A) (-8, -16)
B) (0, 48)
C) (-4, 0), (-12, 0)
Step-by-step explanation:
A) the vertex is the minimum y value.
extremes of a function we get by using the first derivation and solving it for y' = 0.
y = x² + 16x + 48
y' = 2x + 16 = 0
2x = -16
x = -8
so, the vertex is at x=-8.
the y value is (-8)² + 16(-8) + 48 = 64 - 128 + 48 = -16
B) is totally simple. it is f(0) or x=0. so, y is 48.
C) is the solution of the equation for y = 0.
the solution for such a quadratic equation is
x = (-b ± sqrt(b² - 4ac)) / (2a)
in our case here
a=1
b=16
c=48
x = (-16 ± sqrt(16² - 4×48)) / 2 = (-16 ± sqrt(256-192)) / 2 =
= (-16 ± sqrt(64)) / 2 = (-16 ± 8) / 2 = (-8 ± 4)
x1 = -8 + 4 = -4
x2 = -8 - 4 = -12
so the x- intercepts are (-4, 0), (-12, 0)
Answer:
528 in.
Step-by-step explanation:
you simply multiply 24 by 22 because the area without the burners
