68.24 inches
B.
43.12 inches
C.
38.56 inches
D.
26 inches
The equation that gives the company's profit per month, P, as a function of the number of units made, x is P = 14x - 2100
Solution:
Selling price of 1 product = $ 84
Monthly cost for rent and bill = $ 2100
Manufacturing cost per unit = $ 70
To find: company's profit per month, P, as a function of the number of units made
Let "x" be the number of units made
Let "P" be the company profit per month
Selling price for "x" number of units = 84x
Manufacturing cost for "x" units = 70x
We know that,
Profit = Selling price - manufacturing cost
P = 84x - 70x
P = 14x
We have to subtract the monthly cost for rent and bill to get the actual profit
Thus the equation that gives the company's profit per month, P, as a function of the number of units made, x is P = 14x - 2100
where X is the time in seconds after the ball is hit. How long is the ball in the air?
(May I also get steps on how to solve these kind of questions please?)
The value of time of the ball in the air is,
⇒ 4.5 seconds
An algebraic equation with the second degree of the variable is called an Quadratic equation.
We have to given that;
The height of a ball in feet is modeled by the equation,
y = - 16x² + 72x
where, x is the time in seconds after the ball is hit.
Hence, For time of the ball in the air, we can plug y = 0 in above equation.
y = - 16x² + 72x
0 = - 16x² + 72x
Solve for x;
- 16x² + 72x = 0
- 4x (4x - 18) = 0
This gives,
4x = 18
x = 18/4
x = 4.5 seconds
Thus, The value of time of the ball in the air is,
⇒ 4.5 seconds
Learn more about the quadratic equation visit:
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milligrams of salt, which is 20%
20
%
of the recommended daily amount.
What is the recommended daily amount of salt?
480 x 5 = 2400. 2400 milligrams of salt is the recommended daily amount.
Answer:
2400 milligrams because 480 is 20% of the recommended amount
Step-by-step explanation:
20*5 = 100% so 480* 5 = 100% or recommended amount
Hope this helps!
Answer:
f(x) = -x is odd
Step-by-step explanation:
A function f is odd if f(-x) = -f(x) for all x in the domain of f. Then, let's check each of the functions.
1. f(x) = x^3 + 5x^2 + x
f(-x) = (-x)^3 + 5(-x)^2 + (-x) = -x^3 + 5x^2 - x
-f(x) = -(x^3 + 5x^2 + x) = -x^3 - 5x^2 - x
Given that f(-x) ≠ -f(x). The function f is not odd.
2. f(x) = sqrt(x)
f(-x) = sqrt(-x) (Imaginary number)
-f(x) = -sqrt(x)
Given that f(-x) ≠ -f(x). The function f is not odd.
3. f(x) = x^2 + x
f(-x) = (-x)^2 -x = x^2 - x
-f(x) = -x^2 - x
Given that f(-x) ≠ -f(x). The function f is not odd.
4. f(x) = -x
f(-x) = - (-x) = x
-f(x) = -(-x) = x
Given that f(-x) = -f(x). The function f is odd.
Answer with Step-by-step explanation:
A function f is odd if:
f(-x)= -f(x) for all x in the domain of f
1. f(x)=
f(-x)=
=
-f(x)=
f(-x) ≠ -f(x)
So, function is not odd
2. f(x)=√x
f(-x)=√(-x)
= i√x
-f(x)= -√x
f(-x) ≠ -f(x)
So, function is not odd
3. f(x)=
f(-x)=
=
-f(x)=
f(-x) ≠ -f(x)
So, function is not odd
4. f(x)= -x
f(-x) = -(-x)
=x
-f(x)=x
f(-x) = -f(x)
So, function is odd