Answer:
Vertex is (-5, -1)
(-3, 3) is a point on the parabola.
Step-by-step explanation:
f(x) = x² + 10x + 24
Let (h, k) be the vertex
h = -b/2a = -10/2(1) = -5
k = f(-5) = (-5)^2 + 10(-5) + 24
= 25 - 50 + 24 = -1
Vertex is (-5, -1)
Now, let x be some value different than -5, say -3
f(-3) = (-3)^2 + 10(-3) + 24
= 9 - 30 + 24 = 3
So, (-3, 3) is a point on the parabola.
First, we would set the number to x.
Then, we turn the words into an equation.
x+75 = 3x-39
Isolate the x.
-2x = -114
So...
x = 57
Answer:
For A) it is possible that the speed the cat is going over the speed limit
For B) The statement is false as if the error is negative, the speed of the car will be less than the speed limit.
Step-by-step explanation:
Data provided in the question:
Maximum error on a car speedometer = 1.6% = 0.016
Maximum Speed limit on the road = 65 miles per hour
Now,
The error will be ± 1.6%
Now,
When the speedometer reads 64 miles per hour
The possible speed of the car can be
64 miles per hour + Error
= 64 + [0.016 × 64]
= 64 + 1.024
= 65.024 miles per hour
or
The speed can be
64 miles per hour - Error
= 64 - [0.016 × 64]
= 64 - 1.024
= 62.976 miles per hour
Hence,
For A) it is possible that the speed the cat is going over the speed limit
For B) The statement is false as if the error is negative, the speed of the car will be less than the speed limit.
The apartment complex has 20 apartment per buildings 4 apartment are 3 bedroom apartment, 7 are 2 bedroom unit,and 9 apartment are 1 bedroom units.if the apartment complex builds 50 buildings how many 3 bedroom units would they have?
