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34kurt
3 years ago
10

X(7 - x) > 8 A. 8 B.2 C. -1 D.0

Mathematics
1 answer:
Elodia [21]3 years ago
3 0
=7x-x^2>8
0=7x-x^2-8
0= -x^2 + 7x -8
0=(x^2 + 8x)-(x - 8)
0=x(x + 8)-1(x +8)
0=(x-1)   0=(x+8)
x=1          x= -8






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What does the degree of a polynomial tell you about its related polynomial function?
sergiy2304 [10]

Step-by-step explanation:

An expression which contains coefficients, variables, non-negative integer exponents and constants is known as a polynomial.

For example,  x^{2} - 5x + 4 is a polynomial

where    coefficient of x^{2} = 1

              coefficient of x = -5

               constant = 4

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and       exponent = 2

Degree of a polynomial is the highest power of variable in an expression.

In the above example, that is, x^{2} - 5x + 4 has a highest power of 2.

Degree of a polynomial tells about the number of roots a polynomial will have. Thus, we can conclude that x^{2} - 5x + 4 has degree 2 which means it will have 2 roots.

A polynomial with degree 3 with have 3 roots, a polynomial with degree 4 with have 4 roots, and so on. A degree will always be a non-negative integer.

5 0
4 years ago
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12x15y=4140; x+y= ? <br> solve.
Semenov [28]

Answer: The number of $12 tickets and $15 sold are 120 and 180 respectively.

Step-by-step explanation:

The given equation is:

12x + 15y = 4140             .....(1)

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x stands for $12 tickets and y stands for $15 tickets

According to the question:

x + y = 300           ....(2)

Now solving equation 1 and 2.

From equation 2:

x = 300 - y

Now putting this expression in equation 1.

12x + 15y = 4140

12(300 - y) + 15y = 4140

3600 - 12y + 15y = 4140

3600 + 3y = 4140

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3y = 540

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x = 300 - y = 300 - 180 = 120

The number of $12 tickets sold = x = 120

The number of $15 tickets sold = y = 180

Thus, the number of $12 tickets and $15 sold are 120 and 180 respectively.

4 0
3 years ago
suppose cattle in a large herd have a mean weight of 1217lbs and a variance of 10,404. What is the probability that the mean wei
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The probability that the mean weight of the sample of cows would be less than 1210lbs if 116 cows are sampled at random from the herd is; 0.2460

<h3>How to find the probability?</h3>

We are given;

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Population standard deviation; σ = √10404 = 102

Sample size; n = 116

Sample mean; x' = 1210 lbs

Sample standard deviation; s = σ/√n = 9.475

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z = (x' - μ)/s

z = (1210 - 1217)/9.475

z = -1.16

From online p-value from z-score calculator, we have;

p-value = 0.2460

Read more about Probability at; brainly.com/question/15518918

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2 years ago
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andrey2020 [161]

Answer:

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Step-by-step explanation:

  Extracting the key information from the question:-

*** 3 boys can build 4 snowmen I 24 minutes.

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*** How many snowmen can be built by the 9 boys in an hour.

  Firstly, since 3 boys can build four (4) snowmen in 24 minutes, we need to convert one hour to minutes.

   60 minutes = 1 hour.

   Now, since three boys can build four (4) snowmen in twenty four (24) minutes, we need to know or find out how many snowmen  that none boys can build in the same time if they all work at the same rate as the three boys.

     

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9 boys -------------- ? snowmen (24 minutes)

= 9/3  × 4

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= 12 snowmen (24 minutes).

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3 years ago
Read 2 more answers
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