Answer:
f(x) = x² + 4x + 3
Step-by-step explanation:
Here in this problem, we have to find the quadratic function that has x = - 1 and x = - 3 as the only two real zeros.
So, from the above condition, we can say that (x + 1) and (x + 3) are the only two factors of the function.
Therefore, the function will be f(x) = (x + 1)(x + 3), such that if the function is zero, then the solutions will be x = - 1 and x = - 3.
Hence, f(x) = x² + 4x + 3 (Answer)
Answer:
y = 10
Step-by-step explanation:
Given y varies jointly as x and z then the equation relating them is
y = kxz ← k is the constant of variation
To find k use the condition y = 20 when x = 4 and z = 3 , then
20 = k × 4 × 3 = 12k ( divide both sides by 12 )
= k , that is
k = 
y = xz ← equation of variation
When x = 2 and z = 3 , then
y = × 2 × 3 = 5 × 2 = 10
One divided by the product of 8 and a number
Answer:
Answer (a):
distance traveled per revolution = 1.5 feet
Answer (b):
slope = 1.5 feet per revolution
Step-by-step explanation:
We have been given a graph which shows number of revolutions v/s distance traveled in feet.
Answer (a):
Now we need to find about how far does Miguel travel per revolution. That means find distance traveled in 1 revolution.
From graph we see that 10 revolution corresponds to 15 feet.
then 1 revolution = 15/10 = 1.5 feet
hence final answer is 1.5 feet.
Answer (b):
slope means [change in y-value] / [change in x-value]
From graph we see that 10 revolution corresponds to 15 feet.
then slope = 15/10 = 1.5 feet per revolution
The answer is C. 7.1 feet.
I hope this helps.
