Answer:
-8/7 =x
Step-by-step explanation:
-2 x+1
----- = -----------
12 x+2
Using cross products
-2 (x+2) = 12 (x+1)
Distribute
-2x -4 = 12x+12
Add 2x to each side
-2x+2x -4 = 12x+2x+12
-4 = 14x +12
Subtract 12 from each side
-4-12 = 14x
-16 = 14x
Divide each side by 14
-16/14 =14x/14
-8/7 =x
To solve for x, first, we add 3 to the given equation:
Dividing by 2, we get:
Therefore:
Finally, subtracting 5 we get:
Answer:
Answer:
7 shirts
Step-by-step explanation:
The function for producing shirts is
f($) = 50 + 7.5(x), where x is the number of shirt
The function for selling shirts is
f($) = 15(x)
For there to be a profit, he must make more money selling the shirts than he spent on making the shirts
Therefore, 15(x) > 50 + 7.5(x)
15x > 50 + 7.5x
15x - 7.5x > 50
7.5x > 50
x > 6.67 shirts
To make a profit, Juan must sell at least 7 shirts
The equation of best fit is y = (-22/5)x + 10.
What is an equation of a line?
The equation of a line is given by:
y = mx + c where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The following coordinates are given:
Pick two coordinates.
(0, 10) and (25, -100)
The equation of best fit.
y = mx + c
Now,
m = (-100 - 10) / (25 - 0)
m = -110 / 25
m = -22/5
Now,
(0, 10) = (x, y)
10 = (-22/5) x 0 + c
c = 10
Now,
y = mx + c
y = (-22/5)x + 10
Thus,
Using the coordinates the equation of best fit is y = (-22/5)x + 10.
Learn more about equation of a line here:
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