Martin offers a better deal because you only have to pay 48 dollars unlike with Danny where you have to pay 105 dollars just for a 3 hr. lesson.
Answer:
2
Explanation:
I'll explain later, it has to do with prime factors, and perfect cubes.
The two values of y that work are 18, and 144.
³√(144/<u>18</u>) = ³√(8) = 2 [whole number]
³√(144/<u>144</u>) = ³√(1) = 1 [whole number]
Answer:
It will take the penguin 26.95 sec to walk 45 feet.
Step-by-step explanation:
Step-by-step explanation: Given. Distance = d = 10 feet. Time = t = 6 sec. First of all we have to calculate speed . Let s be the speed, then. Now, How far does the penguin walk in 45 seconds? Here we know the speed and the time . So, s=1.67 ft per sec. t = 45 sec
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)
