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Svet_ta [14]
3 years ago
5

the cost for a company to produce x television in 1 year is $150x + $250,000. how many televisions can the company produce in 1

year at the cost of 550,000?
Mathematics
1 answer:
vampirchik [111]3 years ago
5 0

Answer:

Number of television company produce = 2,000

Step-by-step explanation:

Given:

Cost function = $150x + $250,000

Cost = $550,000

Find:

Number of television company produce

Computation:

$150x + $250,000 = $550,000

$150x = $300,000

x = 2,000

Number of television company produce = 2,000

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Using a sheet of graph paper, solve the following system of equations graphically. Be sure to show any work, use a straight edge
madam [21]

Answer:

<h2> (-1,1)</h2>

Step-by-step explanation:

Given system is

\left \{ {{x+y=0} \atop {x-y+2=0}} \right.

If we graph, the solution would be the interception point between these two lines, because each linear equation represents a line. The lines are attached.

In the graph, you can observe that the solution is the point (-1,1), that is x = -1 and y = 1.

Now, if we want to solve this system by another method, we can just sum both equations and solve for <em>x</em>

\left \{ {{x+y=0} \atop {x-y+2=0}} \right.

2x+2=0\\x=\frac{-2}{2}=-1

Then, we replace this value in one equation to find the other value

x+y=0\\-1+y=0\\y=1

Therefore, the solution is (-1,1)

4 0
3 years ago
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gtnhenbr [62]

Answer:

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Step-by-step explanation:

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3 years ago
Indicate the equation of the line, in standard form, that is the perpendicular bisector of the segment with endpoints (4, 1) and
jenyasd209 [6]

Equation of a line is x+3y =-3.

<h3>What is a perpendicular bisector of the line segment?</h3>

A perpendicular bisector is a line that cuts a line segment connecting two points exactly in half at a 90 degree angle. To find the perpendicular bisector of two points, all you need to do is find their midpoint and negative reciprocal, and plug these answers into the equation for a line in slope-intercept form.

Given that,

Endpoints of the line segment are (x_{1},y_{1}) = (4, 1) and (x_{2},y_{2}) = (2, -5).

First find the midpoints of the given line segment.

M = \left(\frac{x_{1}+x_{2}  }{2},\frac{y_{1}+y_{2}  }{2}\Right)

    =  \left(\frac{4+2  }{2},\frac{1-5  }{2}\Right)

M   =  (3,-2)

Now, Find the slope of the line :

It is perpendicular to the line with (4,1) and (2,-5)

Slope between (x_{1},y_{1}) and (x_{2},y_{2}) = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

so,

the slope between (4,1) and (2,-5)  =  \frac{-5-1  }{2-4 }

                                                         = 3

perpendicular lines have slopes the multiply to get -1

3 times m=-1

m= \frac{-1}{3}

The equation of a line that has a slope of m and passes through the midpoints M(3,-2)  is

y-y_{1} =m(x-x_{1} )

y-(-2) =\frac{-1}{3} (x-3 )

(y+2) =\frac{-1}{3} (x-3 )

if we want slope intercept form

(y+2) =\frac{-1}{3} x+1

y= \frac{-1}{3} x-1

If we want standard form

\frac{1}{3} x+y = -1

x+3y =-3

Hence, Equation of a line is x+3y =-3.

To learn more about perpendicular bisector of the line segment from the given link:

brainly.com/question/4428422

#SPJ4

   

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Answer is A or your first option.
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