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2 years ago

Write an equation in slope-intercept form of the line that passes through (−2, 5) and (−4, −5).

Mathematics

1 answer:

Trava [24]2 years ago

7 0

y = − 1 /8x - 19/4

i think

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a manufacturer has determined that if his company sells x items per day then their profit is given by P=-x^2+ 700 x-10000 euros.

Radda [10]

Answer:

Step-by-step explanation:

To find the minimum amount of items, x, that need to be sold for the manufacturer to make a profit, we can use the quadratic formula

$x = \frac{-b+\sqrt{b^{2}-4ac } }{2a}; x= \frac{-b-\sqrt{b^{2}-4ac } }{2a}$

$x= \frac{-700+\sqrt{700^{2}-4(a)(-10000) } }{2(1)}; x= \frac{-700-\sqrt{700^{2}-4(a)(-10000) } }{2(1)}$

$x= \frac{-700+\sqrt{530000} }{2}; x= \frac{-700-\sqrt{530000} }{2}$

$x=\frac{-700+100\sqrt{53} }{2}; x=\frac{-700-100\sqrt{53} }{2};$

$x=-350 + 50\sqrt53 = 14.005; x = -350 - 50\sqrt53 = -714.005$

In context of the problem, we can only rely on the positive value, as the negative value would lead to a loss of profit.

$(-714.005)^2+700(-714.005)-10000=-0.360$

Furthermore, we must round to the nearest whole number, as you cannot make part of an item.

Lastly, if you were to plug in 14 into the equation for Profit, you would still have a negative number (i.e. a negative profit), thus requiring the manufacturer to make no less than 15 items to make a profit:

$(14)^2+700(14)-10000=-4\\\\(15)^2+700(15)-10000=725$

3 0

1 year ago

Which symbol correctly compares the two measurementsone pound 16 oz

myrzilka [38]

Answer:

the = symbol

Step-by-step explanation:

there are 16 oz in a pound

7 0

2 years ago

Read 2 more answers

On reading at An artic research station showed that the temperature was -35 C. What is this temperature in degrees Fahrenheit?

Travka [436]

the answer is -22 F

5 0

3 years ago

Can someone please help me with geometry?????

crimeas [40]

Ok what is the 'q' ???

4 0

2 years ago

Se deposita 4000 soles a una tasa de interés del 0,8% quincenas .¿Que interes producirá en cinco quincenas?

katen-ka-za [31]

Answer:

Interes= 162,58

Step-by-step explanation:

Dada la siguiente información:

Se deposita 4000 soles a una tasa de interés del 0,8% quincenas

<u>Primero, debemos calcular el valor final de la inversión:</u>

VF= [VP*( 1 + i)^n]

VF= 4.000*(1,008^5)

VF= 4.162,58

<u>Para calcular el interés ganado en 5 quincenas, debemos usar la siguiente formula:</u>

Interes= 4.162,58 - 4.000

Interes= 162,58

5 0

2 years ago