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lesya [120]
2 years ago
10

Kimberly makes a conjecture that the sum of two odd integers is always an even integer. Which choice is the best proof of her co

njecture?

Mathematics
1 answer:
Gala2k [10]2 years ago
7 0

Answer:

third choice : Let 2a + 1 be one odd number, and let 2b + 1 be the other odd number. (2a + 1) + (2b + 1) = 2a + 2b + 2 = 2(a + b + 1). Because 2(a + b + 1) is evenly divisible by 2, it is an even number.

You’re welcome ;)

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3 years ago
If 5 1/3= x/3 then x=
rosijanka [135]

Answer:

16

Step-by-step explanation:

Hope you get it.

You would just convert 5 1/3 into a improper fraction 16/3=16/3

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Let a triangle with integer angle measures have one angle of 116°. What is the largest possible angle measure opposite the small
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Step-by-step explanation:

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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
Pls hep me look at the photo
brilliants [131]

Answer:

B

Step-by-step explanation:

It matches 3 of the 4 rows.

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1 year ago
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