Answer:
C
Step-by-step explanation:
the definition of an irrational number is an infinite decimal that has no repeating pattern. rational numbers can be converted into fractions.
A is incorrect because a whole number can be converted into a fraction.
ex: 1 is also 3/3
B is incorrect because the definition of a rational number is that it can be converted into a fraction.
D is incorrect because a terminating decimal can be made into a fraction.
ex: 4.5 is also 9/2
Standard form of the parabola function: (y-k) = a(x-h)²
vertex (h,k)==> vertex (2,-5) [given]. Now plug==> y+5 =a(x-2)²
To calculate a, plug in the equation the coordinates of A(3,4)
4+5 = a(3-2)² ==> 9=a
Finally the equation is f(x) = y+5 = 9(x-2) or y = 9(x-2)² -5
Or f(x) =y = 9x² - 36x + 3
Answer:
$205.73
Step-by-step explanation:
First we find the square area,
multiply 10 by 4.5 and we get 45
we convert feet to meters by dividing it by 3.281
45/3.281=13.71533
we the multiply 13.71533 by 15 to get the total price
we get 205.72996 and round it to 205.72
Total amount of fencing
= 4x + 3(3x + 1)
= 4x + 9x + 3
= 13x + 3
Answer:
A) down
B) x intercept (5, 0)
y intercept (0, 80)
C) 144 ft
Step-by-step explanation:
y = Ax² + Bx + C
y = -16x² + 64x + 80
A)
Parabola opens down because A is negative
B)
x intercept (5, 0)
x = (-64 ±√(64² - 4(-16)(80))) / (2(-16))
x = -1 which means if the profile is continuous, the balloon launched one hour ago.
or
x = 5 which means the balloon will be on the ground in 5 hours.
(assuming level ground or no wind at all.
y intercept
y = -16(0)² + 64(0) + 80
y = 80 ft
meaning the balloon is already 80 feet above the ground when we start looking at t = 0
C)
Maximum altitude will occur when the vertical velocity is zero. Velocity is the derivative of position.
x' = -32x + 64
0 = -32x + 64
32x = 64
x = 2 hrs
y = -16(2)² + 64(2) + 80
y = 144 ft
