The solutions of the equations are x = 1 and y = 2
The system of equations are
4x + 3y = 10
-4x + 5y = 6
Here we have to use the elimination method. Eliminate the x term and find the value of y term
Add both equation
3y + 5y = 10 +6
Add the like terms
8y = 16
y = 16 / 8
Divide the terms
y = 2
Substitute the value of x in the first equation
4x + 3y = 10
4x + 3×2 = 10
Multiply the terms
4x + 6 = 10
4x = 10 - 6
4x = 4
x = 4 / 4
Divide the terms
x = 1
Hence, the solutions of the equations are x = 1 and y = 2
Learn more about elimination method here
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Answer:
y = m x + b equation of a straight line
m m' = -1 condition for perpendicular lines
If y = 4 x - 7 then m = 4 so m' = -.25
Y = -.25 X + A we need to find A
A = Y + .25 * 8 = 2 + 2 = 4
Y = -.25 X + 4
Check:
2 = -.25 * 8 + 4 = -2 + 4 = 2
Answer:
The y-intercept is 25000 . The intercept is the fixed cost of the doughnut selling company.
Step-by-step explanation:
In the question, it is given that the fixed cost is $25000 and the expense to produce each doughnut is $0.25.
It is required to find and identify the y intercept.
To do so, use the equation derived in previous part of the exercise to interpret the slope. Compare the equation with standard equation of the line.
Step 1 of 1
The total cost of the company is the sum of fixed cost and the expenses for the doughnut, C=0.25x+25000.
Compare the equation with general linear equation y=mx+c.
The y-intercept is 25000 .
The intercept is the fixed cost of the doughnut selling company.
Answer:
Sanchez applied 1,800 fluid ounces of herbicide to his 300 acres of corn.
Step-by-step explanation:
Let's identify what we already know:
1) Sanchez has 300 acres of corn
2) For every 1 acre, Sanchez applies 6 fluid ounces of an herbicide.
So, we need to figure out how many fluid ounces Sanchez used for the entire six acres. We can create a formula for this:
300 acres x 6 fluid ounces = x
x equals total number of fluid ounces. We multiple the number of acres by the fluid ounces, to get 1,800 fluid ounces for the entire 300 acres of corn.
Slope formula m = (y2-y1) / (x2 - x1)
m = (1 - 6) / 7 - 1)
m = -5 / 6
Slope or parallel lines are the same
Slope = -5/6
