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3 years ago

Simplify 2x2 - y for x = 3 and y = -2.

Mathematics

1 answer:

Bingel [31]3 years ago

8 0

Answer:

Step-by-step explanation:

2x2-y

2(3)2-2

2(9)-2

18-2

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a water sprinkler sends water out in in a circle .how large is the watered area if the the watering Patten is 23 ft

Dennis_Churaev [7]

I'm guessing you're saying that the sprinkler is shooting out 23 ft of water.

This would be the same as the radius of a circle, and we're trying to find the area. Use the formula.

$\sf A=\pi r^2$

Plug in what we know:

$\sf A=\pi (23^2)$

$\sf A=529\pi ft^2$

This is what they could be looking for, an exact value. If they want an approximation, we can input 3.14 for Pi:

$\sf A\approx 529(3.14)$

$\boxed{\sf A\approx 1661.06~ft^2}$

3 0

3 years ago

2x + 2y = 6 3x − 2y = 29

Mazyrski [523]

Answer:

x = 7

y = -4

Step-by-step explanation:

5x = 35

x=7

14 + 2y = 6

2y = -8

y = -4

7 0

3 years ago

What is the value of x 1. 124 2. 62 3. 112 4. 68 explain why the answer is correct

Fynjy0 [20]

Answer:

<h2>3.112 because 56+56=112</h2>

3 0

3 years ago

Read 2 more answers

A plane travels 3,625.26 miles in 6.9 hours. What is the plane’s unit rate?

Lunna [17]

Answer:

The correct answers are:

a) $\frac{3625.26 miles}{6.9hours}$

b)36252.6 tenths miles÷ 69 tenths hours

c) $\frac{3500miles}{7hours}= 500\frac{miles}{hour}$

d) $\frac{3625.26miles}{6.9hours} \frac{10}{10} =\frac{36252.6miles}{69hours}$

e) 525.4 miles/h

Step-by-step explanation:

The division is solved by using the division algorithm in the attached picture.

5 0

3 years ago

The unit cost, in dollars, to produce tubs of ice cream is $18 and the fixed cost is $11610. The price-demand function, in dolla

Trava [24]

Answer:

Step-by-step explanation:

Let x represent the number of tubs of ice cream that was produced.

The unit cost, in dollars, to produce tubs of ice cream is $18 and the fixed cost is $11610. This means that the total cost of producing x tubs of ice cream would be

C(x) = 18x + 11610

The price-demand function, in dollars per tub, is p(x)=374-2x.

The revenue function is product of the output by the price function

R(x) = x × p(x) = xp(x)

R(x) = x(374 - 2x) = 374x - 2x²

The profit function P(x) = R(x) - C(x)

Therefore,

P(x) = 374x - 2x² - (18x + 11610)

P(x) = 374x - 2x² - 18x - 11610

P(x) = - 2x² + 374x - 18x - 11610

P(x) = - 2x² + 356x - 11610

At the break even point,

Revenue = total cost.

Therefore,

374x - 2x² = 18x + 11610

2x² + 18x - 374x + 11610 = 0

2x² - 356x + 11610 = 0

Dividing through by 2, it becomes

x² - 178x + 5805 = 0

Applying the general formula for quadratic equations,

x = [- b ±√(b² - 4ac)]/2a

x = [- - 178 ±√(-178² - 4 × 1 × 5805)]/2 × 1

x = [178 ±√(31684 - 23220)]/2

x = [178 ±92]/2

x = (178 + 92)/2 or (178 - 92)/2

x = 135 or x = 43

Therefore, the quantity for the smallest break-even point is 43.

4 0

3 years ago