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Ivanshal [37]
3 years ago
14

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

x) = -13x^5 - 4x^4 - 1 Degree: 5; leading coefficient: -13 Degree: -13; leading coefficient: 5 Degree: 9; leading coefficient: -13 Not a polynomial function
Mathematics
1 answer:
Fed [463]3 years ago
5 0

By definition, a polynomial is an expression with more than one term. That is a monomial. We have names for 2-termed polynomials (binomials) and 3-termed polynomials (trinomials), but that's where the naming stops and they all are called polynomials after that. Our degree is the same as the highest exponent. So our degree is a fifth degree. The leading coefficient is the number that starts out the whole polynomial AS LONG AS IT IS IN STANDARD FORM. If our polynomial started with the -4x^4, our leading coefficient would NOT be -4 since the highest degree'd term will always come first in standard form. Your choice for your answer is the first one given. Degree: 5 Leading Coefficient: -13.

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What is 6(x+3)=2(2x+5)
koban [17]

Answer:

x = -4 ;

Step-by-step explanation:

6(x+3)=2(2x+5)

Distribution

6x+18 = 4x + 10

Subtract 4x on both sides

2x+18 = 10

Subtract 18 on both sides

2x = -8

Divided by 2

x = -4

Now if we have to substitute the value of X

6(-4+3)=2(-8+5)

Parenthesis first

6(-1) = 2(-3)

-6 = -6

7 0
3 years ago
92. Calculate the mean of each data set below. Can you find any shortcuts that allow you to find the mean without having to do m
dimulka [17.4K]

Calculate the mean of each data set below. Can you find any shortcuts that allow you to find the mean without having to do much calculation? Homework help  6, 10, 6, 10 11, 12, 12, 13, 12 0, 5, 4, 8, 0, 7

Answer: To find the mean of the given observations. we just need to first find the sum of the given observations and the divide the calculate sum by the total number of observations.

So here:

Sum of of observations =6+ 10+ 6+10+11+12+12+13+12+0+ 5+ 4+ 8+ 0+7=116

Number of observations = 15

Therefore, the mean =\frac{116}{15}= 7.733

5 0
3 years ago
Find the slope of the line passing through the pairs of points and describe the line as rising, falling, horizontal or vertical.
Anna [14]

Answer:

a.\ m=2,\ \text{the line is rising}\\\\b.\ m=-\dfrac{5}{4},\ \text{the line is falling}\\\\c.\ m=0,\ \text{the line is horizontal}\\\\d.\ m\ is\ unde fined,\ \text{the line is vertical}

Step-by-step explanation:

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

If

m > 0, then a line is rising

m < 0, then a line is falling

m = 0, then a line is horizontal

m is undefined, then a line is vertical

<h2>a.</h2>

(2, 1) and (4, 5)

m=\dfrac{5-1}{4-2}=\dfrac{4}{2}=2>0\to\text{rising}

<h2>b.</h2>

(-1, 0) and (3, -5)

m=\dfrac{-5-0}{3-(-1)}=\dfrac{-5}{4}=-\dfrac{5}{4}

<h2>c.</h2>

(2, 1) and (-3, 1)

m=\dfrac{1-1}{-3-2}=\dfrac{0}{-5}=0\to\text{horizontal}

<h2>d.</h2>

(-1, 2) and (-1, -5)

m=\dfrac{-5-2}{-1-(-1))}=\dfrac{-7}{0}\ \text{UNDEFINED}\to\text{vertical}

7 0
3 years ago
Bryan estimates the cost of a vacation to be $730. The actual cost of the vacation is $850. Find the percent error. Round the ne
Ray Of Light [21]
The answer is negative. You subtract 730 from 850
8 0
3 years ago
Please hurry I need an answer for this quiz
Lapatulllka [165]

Answer:

I think the answer would be C.

Step-by-step explanation:

hope I help

3 0
3 years ago
Read 2 more answers
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