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xenn [34]
4 years ago
15

Show that the expression (x+y)(x-y)-14x+49 may be written as the difference of two squares.

Mathematics
1 answer:
iren [92.7K]4 years ago
8 0
For
(a-b)(a+b)=a^2-b^2

x^2-y^2-14x+49
x^2-14x+49-y^2
(x-7)^2-y^2
(x-7-y)(x-7+y)
or
(x-y-7)(x+y-7)
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all of order. I'll have to confirm this though
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What is the greatest common factor of 24, 40 and 32? <br> A. 1 <br> B. 2 <br> C. 4 <br> D. 8
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It’s 8 because 24/8 is 3 and 40/8 is 5 and 32/8 is 4 so the answer is 8 YOUR WELCOME
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Three cups of baking soda are poured into 9 mixing bowls so that each bowl holds the same amount of baking soda.
Liono4ka [1.6K]

Answer: Each bowl gets 1/3 of a cup.

Step-by-step explanation:

3 cups divided into 9 bowls

3/9

You can simplify this by dividing each side of the fraction by 3

1/3

1/3 * 9 = 3

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A gift company sell carved rectangular signs. The company charges by the área of the sign. A sign has an área of 120 square inch
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3 years ago
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:

-500 \times 18 +15000 = -9000+15000 = 6000 so, it is true.

So, the answer is:

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

6 0
4 years ago
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