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2 years ago

Write an equation in point-slope form for the line through the given point with the given slope.

Mathematics

1 answer:

Murljashka [212]2 years ago

3 0

Answer:

y+6 = 3(x-4)

Step-by-step explanation:

Point slope form is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y - -6= 3(x - 4)

y+6 = 3(x-4)

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An apartment complex on Ferenginar with 250 units currently has 223 occupants. The current rent for a unit is 892 slips of Gold-

Triss [41]

Answer:

Step-by-step explanation:

Given data

Total units = 250

Current occupants = 223

Rent per unit = 892 slips of Gold-Pressed latinum

Current rent = 892 x 223 =198,916 slips of Gold-Pressed latinum

After increase in the rent, then the rent function becomes

Let us conside 'y' is increased in amount of rent

Then occupants left will be [223 - y]

Rent = [892 + 2y][223 - y] = R[y]

To maximize rent =

$\frac{dR}{dy}=0\\=2(223-y)-(892+2y)=0\\=446-2y-892-2y=0\\=-446-4y=0\\y=\frac{-446}{4}=-111.5$

Since 'y' comes in negative, the owner must decrease his rent to maximixe profit.

Since there are only 250 units available;

$y=-250+223=-27\\\\maximum \,profit =[892+2(-27)][223+27]\\=838 * 250\\=838\,for\,250\,units$

Optimal rent - 838 slips of Gold-Pressed latinum

8 0

3 years ago

How do I find the value of x

juin [17]

You set (x+15) equal to 40 and solve for x.

x+15=40
-15 -15

x=25

Hope this helps!

8 0

3 years ago

The sum of two numbers is 85. twice one number plus four times the other is 218. find the numbers

Nina [5.8K]

X + y = 85
2x + 4y = 218
x = 85 - y
2(85 - y) + 4y = 218 
170 - 2y + 4y = 218 
170 + 2y = 218 
2y = 48 
y = 24 
x = 61

6 0

3 years ago

Please help me with this difficult question?!!

Goryan [66]

Answer:

Step-by-step explanation:

5 0

3 years ago

Write the expression as a single logarithm

vredina [299]

$3\log_7y + 4(\log_7x - 5\log_7z)\\\log_7y^{3} + 4(\log_7x - 5\log_7z)\\\log_7y^{3} + 4(\log_7x - \log_7z^{5})\\\log_7y^{3} + 4(\log_7(\frac{x}{z^{5}}))\\\log_7y^{3} + \log_7(\frac{x}{z^{5}})^{4}\\\log_7(y^{3} \times (\frac{x}{z^5{5}})^{4})$

4 0

3 years ago