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serious [3.7K]
2 years ago
12

Complete the area model representing the polynomial x2 − 11x + 28. What is the factored form of the polynomial? Use the model to

rewrite the expression.
Mathematics
1 answer:
qwelly [4]2 years ago
7 1

Answer:

\boxed{\sf  \ \ \ (x-4)(x-7) \ \ \ }

Step-by-step explanation:

Hello,

from the expression we can say that the sum of the two zeroes is 11 and the product is 28

4 + 7 = 11

4 * 7 = 28

so we can write

x^2-11x+28=(x-4)(x-7)

hope this helps

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Cindy’s parking garage charges $3.50 for weekday parking, and weekends are half price. If Cindy parked in the garage 20 times pe
Pachacha [2.7K]

Answer: \$64.75

Step-by-step explanation:

  You know that for weekdays parking the price is $3.50 and weekends are half price.  Then for weekends, the price is the following:

\frac{\$3.50}{2}=\$1.75

You know that Cindy parked in the garage 20 times per month, and three of these days were weekend days. This means that she parked 17 times in week days and 3 times in weekends days.

 Therefore, the total amount of money she would spend on parking per month can be calculated with:

Total\ per\ month=17(\$3.50)+3(\$1.75)\\\\Total\ per\ month=\$59.5+\$5.25\\\\Total\ per\ month=\$64.75

6 0
2 years ago
The Tennessee Tourism Institute (TTI) plans to sample information center visitors entering the state to learn the fraction of vi
baherus [9]

Answer: 2185

Step-by-step explanation:

Let p be the proportion of visitors are campers.

Given : The Tennessee Tourism Institute (TTI) plans to sample information center visitors entering the state to learn the fraction of visitors who plan to camp in the state.

The prior proportion of visitors are campers : p=0.35

Allowable error : E= 2%= 0.02

We know that the z-value for 95% confidence = z_c=1.96

Then by Central Limit Theorem , the required sample size would be :

n=p(1-p)(\dfrac{z_{c}}{E})^2

\Rightarrow\ n=0.35(1-0.35)(\dfrac{1.96}{0.02})^2\\\\ n= 0.35(0.65)(9604)

Simply , we get

n=2184.91\approx2185  [Rounded to the next whole number.]

Hence, the smallest sample size to estimate the population proportion of campers =2185

7 0
2 years ago
24 ten thousands + 11 thousands Write the sum in standard form?
hodyreva [135]
The standard form is 24,000,011
3 0
2 years ago
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Bryan wants to ship three medium-sized boxes. Two companies offer different rates.
nikitadnepr [17]
I think th answer is a
5 0
2 years ago
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What is the result of factoring out the gcf from the expression (24 36)?
Gelneren [198K]
Greatest common factor of 24 and 36 is 12. By just observing.

Factoring out 12.

24 = 12*2

36 = 12*3

(24   36)   =    12(2     3) 
5 0
2 years ago
Read 2 more answers
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