The system of equations representing these costs are; y = 7.5x and y = 5.5x + 10
<h3>How to find the equation of a line?</h3>
The slope of the first line is;
m = (y2 - y1)/(x2 - x1)
m = (32 - 10)/(4 - 0)
m = 5.5
Now, the first coordinate has a y-intercept of 10. Thus, the equation here for the cost is; y = mx + c = 5.5x + 10
The slope of the second line is;
m = (y2 - y1)/(x2 - x1)
m = (15 - 0)/(2 - 0)
m = 7.5
Now, the first coordinate has a y-intercept of 0. Thus, the equation here for the cost is; y = mx + c = 7.5x + 0 = 7.5x
Thus, the system of equations representing these costs are;
y = 7.5x and y = 5.5x + 10
Read more about Equation of a line at; brainly.com/question/13763238
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Step-by-step explanation:
x²-xy-xy+y²
x²+2xy+y²
hope it helps
Answer:
8^ (1/3) =2
Step-by-step explanation:
We want to find cube root of 8
8^ (1/3)
What number times itself 3 times is 8
2*2*2 =8
8^ (1/3) =2
Answer:
{x,y} = {3,-2}
Step-by-step explanation:
// Solve equation [1] for the variable y
[1] y = 2x - 8
// Plug this in for variable y in equation [2]
[2] 3x - 2•(2x-8) = 13
[2] -x = -3
// Solve equation [2] for the variable x
[2] x = 3
// By now we know this much :
x = 3
y = 2x-8
// Use the x value to solve for y
y = 2(3)-8 = -2
Solution :
{x,y} = {3,-2}
Evaluate the function at the three values of the range and see what you get. The appropriate choice is ...
... D) {15, 3, 0}
_____
Evaluation can sometimes be simpler if you rearrange the function to a form called "Horner's form."
... f(x) = (x -4)x +3
Then the evaluation looks like (for x=-2) ...
... f(-2) = (-2-4)(-2)+3 = (-6)(-2) +3 = 12 +3 = 15
This is sufficient to identify D as the answer of choice.