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xxTIMURxx [149]
3 years ago
7

What is the standard form of g(x) = (-x-4)(x-3)

Mathematics
1 answer:
Anni [7]3 years ago
8 0

Answer:

g(x) = - x² - x + 12

Step-by-step explanation:

Given

g(x) = (- x - 4)(x - 3)

Each term in the second factor is multiplied by each term in the first factor, that is

- x(x - 3) - 4(x - 3) ← distribute both parenthesis

= - x² + 3x - 4x + 12 ← collect like terms

= - x² - x + 12 ← in standard form

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Answer:

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Step-by-step explanation:

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3 years ago
Tamia is collecting boxes to help her friend move. She found a box that is 8 ft wide, 2 ft high, and 4 ft long how much space wo
Arada [10]

Answer: 64\ ft^3

Step-by-step explanation:

Given

The dimension of the box is

\text{width w=}8\ ft\\\text{height h=}2\ ft\\\text{length l=}4\ ft

Space occupied by the box is equal to its volume i.e.

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The volume of the box is 64\ ft^3.

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2 years ago
What are the first 5 terms?
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Answer:

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Step-by-step explanation:

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3 years ago
Read 2 more answers
For the following demand equation compute the elasticity of demand and determine whether the demand is elastic, unitary, or inel
adelina 88 [10]

Answer:

Demand is inelastic at p = 9 and therefore revenue will increase with

an increase in price.

Step-by-step explanation:

Given a demand function that gives <em>q</em> in terms of <em>p</em>, the elasticity of demand is

E=|\frac{p}{q}\cdot \frac{dq}{dp}  |

  • If E < 1, we say demand is inelastic. In this case, raising prices increases revenue.
  • If E > 1, we say demand is elastic. In this case, raising prices decreases revenue.
  • If E = 1, we say demand is unitary.

We have the following demand equation D(p)=-\frac{3}{4}p+29; p = 9

Applying the above definition of elasticity of demand we get:

E(p)=\frac{p}{q}\cdot \frac{dq}{dp}

where

  • p = 9
  • q = -\frac{3}{4}p+29
  • \frac{dq}{dp}=\frac{d}{dp}(-\frac{3}{4}p+29)

\frac{d}{dp}\left(-\frac{3}{4}p+29\right)=-\frac{d}{dp}\left(\frac{3}{4}p\right)+\frac{d}{dp}\left(29\right)\\\\\frac{d}{dp}\left(-\frac{3}{4}p+29\right)=-\frac{3}{4}

Substituting the values

E(9)=\frac{9}{-\frac{3}{4}(9)+29}\cdot -\frac{3}{4}\\\\E(9)=\frac{36}{89}\cdot -\frac{3}{4}\\\\E(9)=-\frac{27}{89}\approx -0.30337

|E(9)|=|\frac{27}{89}| < 1

Demand is inelastic at p = 9 and therefore revenue will increase with an increase in price.

6 0
3 years ago
An aquarium at the museum contains 496 gallons of water and is 62% full. How many more gallons are needed to fill up the aquariu
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It will need 188.5 more gallons to be filled
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