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gladu [14]
4 years ago
14

Your answer should be a polynomial in standard form. ( − 8 p 3 + 9 p 2 q − 5 p q 2 ) + ( 8 p 3 − p q + 5 q 2 ) = (−8p ​3 ​​ +9p

​2 ​​ q−5pq ​2 ​​ )+(8p ​3 ​​ −pq+5q ​2 ​​ )
Mathematics
1 answer:
gavmur [86]4 years ago
5 0
9p^2-6p5q^2 in standard form it would be: 9p^2+5q^2-6p
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one zero

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Determine what type of model best fits the given situation: An Internet phone company presently provides service to 5,000 custom
bagirrra123 [75]

Answer:

The best fit is <em>A. Linear model</em>

<em></em>

Step-by-step explanation:

Given:

Monthly Rate = $20, Number of customers = 5000

If there is a decrease of $1 in the monthly rate, the number of customers increase by 500.

To find:

The type of model that best fits the given situation?

Solution:

Monthly Rate = $20, Number of customers = 5000

Let us decrease the monthly rate by $1.

Monthly Rate = $20 - $1  = $19, Number of customers = 5000 + 500 = 5500

Let us decrease the monthly rate by $1 more.

Monthly Rate = $19 - $1  = $18, Number of customers = 5500 + 500 = 6000

Here, we can see that there is a <em>linear change </em> in the number of customers whenever there is decrease in the monthly rate.

We have 2 pair of values here,

x = 20, y = 5000

x = 19, y = 5500

Let us write the equation in slope intercept form:

y =mx+c

Slope of a function:

m=\dfrac{y_2-y_1}{x_2-x_1}

m=\dfrac{5500-5000}{19-20}\\\Rightarrow -500

So, the equation is:

y =-500x+c

Putting x = 20, y = 5000:

5000 =-500\times 20+c\\\Rightarrow c = 5000 +10000 = 15000

\Rightarrow \bold{y =-500x+15000}

Let us check whether (18, 6000) satisfies it.

Putting x = 18:

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So, the answer is:

The best fit is <em>A. Linear model</em>

6 0
4 years ago
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Alecsey [184]

Answer:

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Step-by-step explanation:

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Combine like terms

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Add 4 to each side

6x = 8.8

Divide by 6

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x = 22/15

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3 years ago
What relationship between the quantities shown in the table
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Simplify 9 to the 2nd over 9 to the 7th.
Gekata [30.6K]
Use the exponent rules 
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