The expression that represent the profit is given by P(r) = r⁴ - 3r³ - r² - 4
<h3>What is an
equation? </h3>
An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
Profit is the difference between revenue and cost. Given that:
R(r) = 2r⁴ - 3r³ + 2r - 1 and C(r) = r⁴ - r² + 2r + 3
P(r) = R(r) - C(r)
P(r) = (2r⁴ - 3r³ + 2r - 1) - (r⁴ - r² + 2r + 3) = r⁴ - 3r³ - r² - 4
The expression that represent the profit is given by P(r) = r⁴ - 3r³ - r² - 4
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Answer:
Let x be the number of regular health bars you buy and y the number of strawberry health bars you buy. Then:
0.75x+1.25y=3.75
x+y>=3
Step-by-step explanation:
For the first equation, we have to assume that you will spend all of your money, otherwise it becomes an inequation. The money you spend on regular bars is 0.75x dollars and the money you spend on strawberry bars is 1.25y, so if you spend your 3.75 dollars on the bars, then 0.75x+1.25y=3.75.
For the second, you will always buy x+y health bars, regular and strawberry. There isn't enough information to make this into a equation, the only thing we can deduce is the inequation x+y>=3.
If we also assume that x and y are integers (we can't buy half-bars or one-fourth of a bar) then the minimum number of bars we can buy is 3 (3 strawberry bars) and the maximum is 5 bars (5 regular bars). x+y must be an integer too, so the possibilities for the second equation are x+y=3, x+y=4 and x+y=5. There is a finite number of solutions in any case.
Answer:
75
Step-by-step explanation:
10+6+4= 20 sooo
150 divided by 20 = 7.5
7.5 = 75
Answer:
The height of the cup is 0.51 in.
The height of the cup is 4.59 in.
Step-by-step explanation:
The volume of the cylinder is 
Given that,
The volume of the cup is 14.4375 in³.
If the measuring cup has a radius of 3 in.
Then,
Plug r= 3 in.
⇒h=0.51 in.
The height of the cup is 0.51 in.
If it has radius of 1 in.
Then,
Plug r= 1 in.
⇒h=4.59 in.
The height of the cup is 4.59 in.
<span>The length of a diagonal on a square represents a hypotenuse of the right triangle whose legs are equal
And also this triangle is a half of the square
The length of one side of a square = 90 feet
∴ d² = 90² + 90² = 2 * 90²
∴ d = 90√2
∴ </span><span>The equations can be used to calculate d = 90√2
In general for any square has length of side = x
The diagonal of the square = d = x√2</span>
