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AlekseyPX
3 years ago
12

If the following is a polynomial function, then state its degree and leading coefficient. If it is not, then state this fact.

Mathematics
1 answer:
brilliants [131]3 years ago
3 0

Degree: 5; leading coefficient: 10

Option D is correct.

Step-by-step explanation:

We need to identify if f(x) = 10x^5 + 7x^4+5 is a polynomial function, then state its degree and leading coefficient or not.

  • Polynomial

A polynomial is an algebraic expression containing two or more terms that have same variables but may have different exponents combined through mathematical symbol(+,-,*or/)

So, f(x) = 10x^5 + 7x^4+5 is a polynomial function

  • Degree of polynomial

The degree of polynomial is the highest degree obtained by sum of all exponents of individual terms in the polynomial.

So, f(x) = 10x^5 + 7x^4+5 has highest degree 5

Degree = 5

  • Leading Coefficient

The leading coefficient is the coefficient of first term of the polynomial.

So, f(x) = 10x^5 + 7x^4+5 has  leading coefficient = 10

So, Leading coefficient = 10

So, Degree: 5; leading coefficient: 10

Option D is correct.

Keywords: Polynomials

Learn more about Polynomials at:

  • brainly.com/question/10771256
  • brainly.com/question/1414350
  • brainly.com/question/2568692

#learnwithBrainly

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The owner of a small pet supply store wants to open a second store in another city, but he only wants to do so if more than one-
Andrei [34K]

Answer:

The answer is "The null hypothesis was rejected".

Step-by-step explanation:

Following are the right-tailed test:

Calculating the null and alternative hypothesis:

H_0 : p = 0.3333\\\\H_a : p > 0.3333\\\\n = 150\\\\x = 64\\\\\hat{p} = \frac{x}{n} = \frac{64}{150} = 0.4267\\\\P_0 = 0.3333\\\\1 - P_0 = 1 - 0.3333 = 0.6667\\\\

z = \frac{\hat{p} - P_0}{[\sqrt{\frac{P_0 \times (1 - P_0 )}{n}}]}

   = \frac{0.4267 - 0.3333}{[\sqrt{\frac{(0.3333 \times 0.6667)}{150}}]}\\\\= 2.426

Calculating the right-tailed test:

P(z > 2.426) = 1 - P(z < 2.426) = 1 - 0.9924 = 0.0076\\\\P-value = 0.0076\\\\\alpha = 0.05\\\\P-value < \alpha

Therefore, we reject the null hypothesis.

This example shows that more than a third of the families own pets in this town.

5 0
2 years ago
Suppose you have a mean standardized score of 1500 points with a standard deviation of 150 points. This data is normally distrib
Bond [772]

Answer:

z-score for 900 points = -4

Step-by-step explanation:

To find the z scores

z=(x-mean)/standard deviation

so

z=(900-1500)/150

z= -600/150

8 0
3 years ago
Mary Steiner purchased school supplies at Office Emporium for $97.62. She then purchased a dictionary for $22.95 and a CD for $1
slamgirl [31]

Answer:

8.79 + .67 = 9.46 total tax

Step-by-step explanation:

97.62 + 22.95 + 14.78 = 135.35

135.35 * .065 = 8.79 state

135.35 * .005 = .67 county

8.79 + .67 = 9.46 total tax

7 0
3 years ago
4.5*10^-8/9*10^-9 find the quotient and write it in scientific form
g100num [7]

Answer:

5

Step-by-step explanation:

4.5*10^-8/ 9*10^-9

1) Reduce the fraction, express 9 as a product of multiplying 4.5*2

4.5*10^-8/4.5*2*10^-9

2) Then notice the common factor of numerator and denominator( 4.5) , get rid of it in both numerator and dnominator

3) 10^-8/ 2*10^-9= 1/2*(10^-8/10^-9)= 0.5* (10^-8/10^-9)

10^-8/10^-9= 10^(-8-(-9))= 10^1=10.

so 0.5*10=5 (it is the answer written in scientific form)

3 0
3 years ago
What is the answer to 8 minus five sixs
Elis [28]
43/6 fourth three over 6
8 0
3 years ago
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