Answer:
-11/10
Step-by-step explanation:
Slope = rise/run
m = (12-1) / (-19-(-9))
m = -11/10
Answer:
<em>The company needs to sell 40 desks to break even</em>
Step-by-step explanation:
<u>Application of Equations</u>
There is virtually no limit to the possible situations where equations can help to find the solution of specific problems related to areas like economy, where one could need to establish some important indicators about the business.
B. The fixed cost for Abstract Office Supplies to sell a new computer desk is $14,000. Each desk will cost $150 to produce. The cost function to produce X desks is
C(x)=150x+14,000
A. The revenue for each desk is estimated at $500, for X desks will be
R(x)=500x
C. The company will break even when the cost and the revenue are the same. We'll find how many desks need to be sold for that to happen. We equate
C(x)=R(x)
Or equivalently
150x+14,000=500x
Rearranging
500x-150x=14,000
350x=14,000
Solving for x
x=14,000/350= 40
The company needs to sell 40 desks to break even
Answer:
1 yard = 3 feet
Step-by-step explanation:
1 yard = 3 feet
Answer:
<em>C. y = 3x + 13.</em>
Step-by-step explanation:
The point slope form of a line is
y - y1 = m(x - x1) where m = the slope, and (x1, y1) is a point on the line.
So, substituting:
y - 1 = 3(x - -4)
y - 1 = 3(x + 4)
y = 3x + 12 + 1
y = 3x + 13.
Answer:
x = 48°
Step-by-step explanation:
In the given triangle XYZ,
Sides XY and XZ are congruent.
Therefore, both the sides will be equal in measure.
By the definition of isosceles triangle,
"Opposite angles of the equal sides are equal in measure"
m∠Y = m∠Z = x°
m∠X = 84° [Given]
By the triangle sum theorem,
m∠X + m∠Y + m∠Z = 180°
84° + x° + x° = 180°
2x = 180 - 84
x = 48°
Therefore, measure of x = 48° will be the answer.