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wolverine [178]
3 years ago
6

Complete the area model representing the polynomial x2-11x+28 what is the factored form of the polynomial use the model to rewri

te the expression

Mathematics
1 answer:
Tpy6a [65]3 years ago
3 0

Answer:

The factored form of the polynomial use the model to rewrite the expression is (X-7)(X-4)

Step-by-step explanation:

given the polynomial x^{2}-11x+28

=> the value of all three parameters in the function are;

a: 1

b: -11

c: 28

=> the two number that has sum is = b= 11 and product is  = c = 28 are: 4 and 7

Hence, the factored form of the polynomial use the model to rewrite the expression is (X-7)(X-4)

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45 points for first most detailed / accurate answer:
Bas_tet [7]
A.) Since there are no restrictions as to the dimensions of the candle except that their volumes must equal 1 cubic foot and that each must be a cylinder, we have the freedom to decide the candles' dimensions. 

I decided to have the candles equal in volume. So, 1 cubic foot divided by 8 gives us 0.125 cubic foot, 216 in cubic inches.

With each candle having a volume of 216 cubic inches, I assign a radius to each: 0.5 in, 1.0 in, 1.5 in, 2.0 in, 2.5 in, 3.0 in, 3.5 in, and 4.0 in. Then, using the formula of the volume of a cylinder, which is:

V=pi(r^2)(h)

we then solve the corresponding height per candle. Let us let the value of pi be 3.14.

Hence, we will have the following heights (expressed to the nearest hundredths) for each of the radius: for 

r=2.5 in: h=11.01 in
r=3.0 in: h= 7.64 in
r=3.5 in: h= 5.62 in
r=4.0 in: h= 4.30 in
r=4.5 in: h= 3.40 in
r=5.0 in: h= 2.75 in
r=5.5 in: h= 2.27 in
r=6.0 in: h= 1.91 in

b. each candle should sell for $15.00 each

($20+$100)/8=$15.00

c. yes, because the candles are priced according to the volume of wax used to make them, which in this case, is just the same for all sizes
7 0
3 years ago
PLEASE HURRY!!! AB = 20 cm, m∠A = 30° , and $m∠C = 45° . Express the number of centimeters in the length of BC in simplest radic
MrRissso [65]
Using the Sine Rule:-

20 /sin 45 =  BC / sin 30

BC = 20 sin 30 / sin45

  = 20 * 1/2  /  1 / sqrt2
  = 20 * 1/2 * sqrt2
=  10 sqrt2   answer
3 0
3 years ago
If the area of square is 2401 sqaure metre,find the perimeter of the sqaure​
Tcecarenko [31]

Answer

P=196                        

P=4A=4·2401=196                                  

6 0
3 years ago
Read 2 more answers
On a map, the distance from Akron to Cleveland measures 2 centimeters. What is the actual distance if the scale of the map shows
WINSTONCH [101]
To answer this question you will set up the proportion shown in the attached picture.

There are 2 ways to solve this.

1. You can create an equivalent ratio by determining the factor that will take you from 1 cm to 2 cm and apply his factor to the 19 miles.

The answer would be 19 x 2= 38 miles for 2 centimeters.

2. The second strategy is to use cross products to get an answer. You multiply the number diagonal from each other. See picture for this work.

4 0
4 years ago
If I wanted to estimate the √99, the first step would be to find the two squares that 99 lies on the numberline. I could then th
____ [38]

Answer:

Step-by-step explanation:

Smaller perfect squares near 99 is 81

Larger perfect square near 99 is 100

First step would be to find the two perfect squares that lies between on the number line. I could then think about the number 99 and how close it is to the smaller perfect square and the larger perfect square. That could tell me how far above or below the of the two perfect squares 99 lies on the number line. I could then take the square root of the perfect squares to see how I would estimate the square root of 99. The √99 is almost 10.

81 < 99 < 100

√81 < √99  < √100

8 < √99 < 10

So, √99 is almost 10.

8 0
1 year ago
Read 2 more answers
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