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OverLord2011 [107]
3 years ago
13

alt=" {x}^{2} - 22x + 121" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
eduard3 years ago
3 0

Let's factor x^2−22x+121

The middle number is -22 and the last number is 121. Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks? We need two numbers that...

Add together to get -22

Multiply together to get 121

Can you think of the two numbers?

Try -11 and -11:

-11+-11 = -22

-11*-11 = 121

Fill in the blanks in

(x+_)(x+_)

with -11 and -11 to get...

(x-11)(x-11)


Answer: (x-11)(x-11)


Hope this helps!!!

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Multiply 2/3 by 42, and then multiply that product by 10
Mrac [35]

Answer:

140 is the answer

Step-by-step explanation:

2/3 of 42 is 14 multiplied by ten is 140

Hope this helps ;)

7 0
3 years ago
If your car gets 27.6 mi/gal, how many gallons of gasoline would you use if you drove 552.4 miles
valina [46]
The mileage is 27.6 mi/gal
Miles driven = 552.4 mi

Calculate gallons used.
gallons = \frac{552.4 \, mi}{27.6 \, mi/gal} = 20.015 \, gal

Answer: 20.015 gallons  (approximately 20 gallons)

7 0
4 years ago
Read 2 more answers
The profit that a vendor makes per day by selling x elephant ears is given by the function P(x)= -0.004x^2+3.2x-200. Find the nu
dezoksy [38]

Answer:

The number of elephant ears that must be sold to maximize profit is 400.

Step-by-step explanation:

Given that,

The profit that a vendor makes per day is given by

P(x)= - 0.004x² +3.2 x -200

where x is number of elephant ears.

P(x)= - 0.004x² +3.2 x -200

Differentiating with respect to x

P'(x)= - 0.008x+3.2

Again differentiating with respect to x

P''(x) = -0.008

For maximum or minimum P'(x)=0

- 0.008x+3.2=0

⇒0.008x=3.2

\Rightarrow x=\frac{3.2}{0.008}

⇒ x = 400

P''(x)|_{x=400} = -0.008

Since at x=400, P''(x)<0, the profit is maximize.

P(400) = -0.004×400²+3.2×400-200

          =440

The number of elephant ears that must be sold to maximize profit is 400.

3 0
3 years ago
May you help me answer 1 question plz
Brilliant_brown [7]
5x20 is 100 +9 is 109 your answer is 109/20
8 0
3 years ago
Victor is ordering pizzas for a party. He would like to have 1/4 of a pizza for each guest. He can only order whole pizzas, not
sertanlavr [38]
7 pizzas, because you would divide 27 by 4 and get 6.75 and then round it up to 7.

Hope this helped :)
5 0
3 years ago
Read 2 more answers
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