Answer:
A. y=2x+8
B. y=4x
Step-by-step explanation:
These are both linear equations so use y=mx+b where m is the slope (rate you earn money) and b is the yintercept (starting point).
Tatiana starts at 8 dollars and gains 2 dollars a week so m is 2 and b is 8
Julian starts without any money and gets 4 dollars a week so m is 4 and b is 0
Answer:
9/8 or 1.125
Step-by-step explanation:
yea simply simplify it
Step-by-step explanation:
Given that,
A quadratic equation,
2x(x + 1.5) = -1
We need to solve the quadratic equation. Firstly we need to simplify the above equation to form it as 
.
So,
Here, a = 2, b = 3 and c = 1
The roots of the given equation can be given by :
Putting all the values we get :
So, the roots of the given equation is -1/2 and -1.
The maximum revenue generated is $160000.
Given that, the revenue function for a sporting goods company is given by R(x) = x⋅p(x) dollars where x is the number of units sold and p(x) = 400−0.25x is the unit price. And we have to find the maximum revenue. Let's proceed to solve this question.
R(x) = x⋅p(x)
And, p(x) = 400−0.25x
Put the value of p(x) in R(x), we get
R(x) = x(400−0.25x)
R(x) = 400x - 0.25x²
This is the equation for a parabola. The maximum can be found at the vertex of the parabola using the formula:
x = -b/2a from the parabolic equation ax²+bx+c where a = -0.25, b = 400 for this case.
Now, calculating the value of x, we get
x = -(400)/2×-0.25
x = 400/0.5
x = 4000/5
x = 800
The value of x comes out to be 800. Now, we will be calculating the revenue at x = 800 and it will be the maximum one.
R(800) = 400x - 0.25x²
= 400×800 - 0.25(800)²
= 320000 - 160000
= 160000
Therefore, the maximum revenue generated is $160000.
Hence, $160000 is the required answer.
Learn more in depth about revenue function problems at brainly.com/question/25623677
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Answer:
y = 4
Step-by-step explanation:
The maximum value occurs at the vertex
vertex = (2, 4 )
when x = 2 the maximum value is y = 4
