Considering the linear function described, 500 liters of fuel were initially in the tank.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Researching this problem on the internet and looking at the graph, we have that when x = 0, y = 500, that is, the y-intercept is of 500. From the bullet points, the y-intercept is the initial value, hence 500 liters of fuel were initially in the tank.
More can be learned about linear functions at brainly.com/question/24808124
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For this case we first define varials:
x: number of hours working as cashier
y: number of hours working as a baby sit
We now write the system of equations:
6x + 6y ≥ 60
x + y ≤ 12
Answer:
to solve the real-world problem the system of inequalities is:
6x + 6y ≥ 60
x + y ≤ 12
Answer:
g(x)=
Step-by-step explanation:
In this graph g(x) will be equal to g(x)=. Multiplying a squared variable will close the parabola together, but multiplying the variable itself and then calculating the square will exponentially close the parabola. Without the parenthesis x would be substituted for 1, 1 squared is 1 and multiplied by 3 would be 3. Therefore, giving you a coordinate of (1,3). With parenthesis that would be 3 times greater which would give you a coordinate of (1,9) as can be seen in the graph attached below.
Given the following angles:
2x
3x
(x + 12)
(2x + 4)
We know the sum of angle measures 360 degrees.
Thus, we have:
2x + 3x + x + 12 + 2x + 4 = 360
Let's solve for x:
Collect like terms
2x + 3x + x + 2x + 12 + 4 = 360
8x + 16 = 360
Subtract 16 from both sides:
8x + 16 - 16 = 360 - 16
8x = 344
Divide both sides by 8:
Therefore, the value of x is 43
ANSWER:
x = 43
Using the disk method, the volume is given by the integral
That is, each disk has a radius of <em>y</em> = 9 sin(<em>x</em>) and hence area = <em>π</em> (9 sin(<em>x</em>))². Add up infinitely many such disks by integrating. Then the volume is
