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MAXImum [283]
1 year ago
13

Determine the leading coefficient c of the polynomial given that the graph goes through the point (5,100)

Mathematics
1 answer:
Ulleksa [173]1 year ago
3 0

The polynomial that passes through the point (5,100) has the leading coefficient or c equal to 1.38.

<h3>What do a polynomial's leading term and leading coefficient mean?</h3>
  • The term with the highest power of x is the leading term in a polynomial.
  • As an illustration, the leading term in 7+x3x2 is 3x2. A polynomial's leading coefficient is the coefficient of the leading term. The leading coefficient in the aforementioned illustration is 3.

We need to determine the leading coefficient c of the polynomial which passes through the point (5,100).

Given polynomial: f(x) = c(x - 1)(x + 1)(x-2)

Substituting f(x) = 100 and x = 5,

100 = c(4)(6)(3)

100 = c72

c= 1.38

Therefore, the leading coefficient c of the polynomial given that the graph goes through the point (5,100) is 1.38.

Learn more about polynomial here:

brainly.com/question/2833285

#SPJ13

You might be interested in
Andre owned a 1/4 acre lot. He wanted to construct a 120’ x 80’ tennis court on the lot. How many square feet will remain uncove
OLga [1]

The area of the tennis court is computed by multiplying the dimensions given,

                               A = 120' x 80'

                               A = 9600 ift


Then, we convert the area in ft² to acres,

                       A = (9600 in²)(2.3 x 10^-5/ 1 in²)

                           A = 0.24 acre


The portion of land remaining is,

                  A of remaining = 0.25 acre - 0.24 acre

                                           = 0.1 acre


The remaining portion is for Andre's studies.


This, 0.1 ft² is equal to the 4% of the given area of the court. 

3 0
3 years ago
What is 24.2% of 120
katen-ka-za [31]

Answer:

29.04

Step-by-step explanation:

Multiply: 120*.242=29.04

It's multiplied by .242 bc if you want to turn a percentage into a decimal you need to move the decimal twice to the left. So, 24.2 becomes .242.

3 0
2 years ago
A recent Gallup poll found that 36% of U.S. teens aged from 13 to 17 years old have a computer with [(6)] Internet access in the
In-s [12.5K]

Answer:

Step-by-step explanation:

a) The population parameter is the population proportion.

b) Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 1028

p = 36/100 = 0.36

q = 1 - 0.36 = 0.64

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.99 = 0.1

α/2 = 0.01/2 = 0.005

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.05 = 0.995

The z score corresponding to the area on the z table is 2.58. Thus, confidence level of 99% is 2.58

Therefore, the 99% confidence interval is

0.36 ± 2.58 × √(0.36)(0.64)/1028

The lower limit of the confidence interval is

0.36 - 0.039 = 0.321

The upper limit of the confidence interval is

0.36 + 0.039 = 0.399

Therefore, with 99% confidence interval, the proportion of U.S. teens aged from 13 to 17 years old that have a computer with Internet access in their rooms is between 0.321 and 0.399

c) for a margin of error of 1%, that is 1/100 = 0.01, then

0.01 = 2.58 × √(0.36)(0.64)/n

0.01/2.58 = √0.2304/n

0.00387596899 = √0.2304/n

Square both sides

0.00001502314 = 0.2304/n

n = 0.2304/0.00001502314

n = 15336

5 0
3 years ago
I need help. what is the slope?<br> (The bottom one says : (-1, -6)
ch4aika [34]

Answer:

I believe it would be -11/4.

8 0
3 years ago
Read 2 more answers
Need help pls..........................................
Sonja [21]

Answer:

6, -2

Step-by-step explanation:

basically It asks you what's x when y=2, which on the graph is 6, -2, and -5 I think. but there is no point on the -5 so we don't need to talk about that one.

3 0
2 years ago
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