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3 years ago

If f(x) = 3x - 2 and g(x) = 2x - 1, find (f +g) (x)

Mathematics

1 answer:

Murrr4er [49]3 years ago

5 0

Just combine the two expression:

(3x-2)+(2x-1)

= 3x-2+2x-1

=5x-3

A is your answer

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Leokris [45]

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2 years ago

Abe,a plumber, charges $50 per hour for making an in-home visit. The Plumbing Service $65 per hour but no set free for a visit.

ArbitrLikvidat [17]

Answer:

Plumber: 13 hours

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Step-by-step explanation:

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3 years ago

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A cookie company packages its cookies in rectangular prism boxes designed with square bases that have both a length and width of

maw [93]

Answer:

h³- 8h² + 16h

Step-by-step explanation:

The problem tells us that the length and width of these boxes are both 4 inches less than the height of the box.

So if we name h the height of the box, the width of the box would be h - 4 and the height of the box would be h - 4.

Now, the volume of a rectangular prism is given by V = height x width x length

So, considering the values we have in this problem we get:

V= height x width x volume

V = h (h-4)(h-4)

V= h(h-4)²

V= h (h²-8h + 16)

V = h³- 8h² + 16h

Therefore, the polynomial representing the volume of this box in terms of the height is h³- 8h² + 16h

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3 years ago

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4 years ago

9. Water is added to two containers for 16 minutes. The equations below model the ounces of

Vladimir [108]

The two containers hold 328 ounces at the they hold same amount of water.

Step-by-step explanation:

The equations below model the ounces of water, y, in each container after x minutes.

$y = 16x + 104$

$y = -2x^{2} +40x+160$

At the time after the start when the containers hold the same amount of water, the two equations must be equal.

⇒ $16 x + 104 = -2x^{2} + 40 x + 160$

The first step is to divide everything by 2 to make it simplified.

⇒ $8 x + 52 = - x^2 +20 x + 80$

Now put everything on the left .

$x^2 + 8 x - 20 x + 52 - 80 = 0$

Add the like terms together to further reduce the equation

$x^2 - 12 x - 28 = 0$

Factorizing the equation to find the roots of the equation.

Here, b = -12 and c = -28

where,

b is the sum of the roots ⇒ -14 + 2 = -12
c is the product of the roots ⇒ -14 × 2 = -28

Therefore, (x-14) (x+2) = 0
The solution is x = -2 or x = 14

Take x = 14 and substitute in any of the given two equations,

⇒ $y = 16(14) + 104$

⇒ $y =224+104$

⇒ 328 ounces

∴ The two containers hold 328 ounces at the they hold same amount of water.

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3 years ago