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3 years ago

Write a system of equations for (4,-3)

Mathematics

1 answer:

qaws [65]3 years ago

7 0

y = 4x - 3 would be it !!!!

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yes cuz my butt is phat

Step-by-step explanation:

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3 years ago

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Where does the 6π belong in the Veen diagram?

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3 years ago

Each batch of ms.crawley's cookies makes 14 cookies. if sandy needs 8 dozen cookies for her bake s how many batches does she hav

erica [24]

7 batches. There is 12 cookies in a dozen so multiply 8×12 to get 96 cookies. 96 Is the total cookies you need to make. So if you divide 96 by the 14 to see how many batches you must make. you will get a number of 6.85... so you must round up to 7.

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3 years ago

Two families are shopping for a camping trip. The first family buys 3 flashlights and 4 sleeping bags at a cost of $118. The sec

Sliva [168]

Answer:

3x +4y = 118

5x+6y =180

y= $25

Step-by-step explanation:

Let x = the cost of a flashlight

Let y = the cost of a sleeping bag

3x +4y = 118

5x+6y =180

Multiply the first equation by -5

-5(3x +4y) = -5*118

-15x -20y = -590

Multiply the second equation by 3

3(5x+6y) =3*180

15x + 18y = 540

Add the modified equations together.

We are using elimination to eliminate the variable x

-15x -20y = -590

15x + 18y = 540

----------------------------

-2y = -50

Divide by -2

-2y/-2 = -50/-2

y =25

Each sleeping bag costs $25

7 0

3 years ago

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The daily cost of producing x high performance wheels for racing is given by the following function, where no more than 100 whe

algol [13]

Answer:

The production would be 25 wheels,

Lowest average cost is $ 123.75

Step-by-step explanation:

Given cost function,

$C(x) = 0.09x^3 - 4.5x^2 + 180x$

Where,

x = number of wheel,

So, the average cost per wheel,

$A(x) = \frac{C(x)}{x}=\frac{0.09x^3-4.5x^2 + 180x}{x}=0.09x^2 - 4.5x + 180$

Differentiating with respect to x,

$A'(x) = 0.18x - 4.5$

Again differentiating with respect to x,

$A''(x) = 0.18$

For maxima or minima,

$A'(x) = 0$

$0.18x - 4.5 = 0$

$0.18x = 4.5$

$\implies x = \frac{4.5}{0.18}=25$

For x = 25, A''(x) = positive,

i.e. A(x) is maximum at x = 25.

Hence, the production would be 25 wheels for the lowest average cost per wheel.

And, lowest average cost,

A(x) = 0.09(25)² - 4.5(25) + 180 = $ 123.75

5 0

4 years ago