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pychu [463]
3 years ago
12

Which of the following represents the polynomial 5x + 3x^4 + 15 − 7x3 in standard form, the degree of the polynomial, and the nu

mber of terms?

Mathematics
2 answers:
kkurt [141]3 years ago
6 0
A polynomial is written correctly when the exponents are listed in order from highest to lowest.  The highest exponent then dictates the degree of the whole polynomial.  The first choice above is written in standard form from highest degree to lowest.   Doesn't matter that we might skip the x-squared term or any other x-term, as long as they're in order from highest to lowest.  The degree on that first polynomial, the one you're after, is 4 because that's the highest exponent, and there are 4 terms there.  Terms are "bunches" of numbers and variables stuck together by multiplication and separated by + or - signs. 
vladimir1956 [14]3 years ago
5 0

Answer:

It is

3x^4 − 7x^3 + 5x + 15

degree: 4

number of terms: 4

Step-by-step explanation:

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The table represents the change in the boiling point of water at different altitudes. Altitude (in thousands of feet) Boiling Po
Anton [14]
Answers:

1) The dependent variable is the boiling point of water and the independent variable is the altitude.

2) The slope would represent the average decrease of the boiling point of water per every one thousand feet that the altitude increase.

Explanation:

1) given

Table:

<span>Altitude (in thousands of feet)    Boiling Point of Water (Fahrenheit)

(sea level) 0                                212
0.5                                               211.1
1.0                                               210
2.0                                               208.4
2.5                                               207.5
3.0                                               206.6
4.0                                               204.8
4.5                                               203.9

2) The independent variable is the input of the function, and the dependent variable is the output of the function.

The input determines the output once the rule is established.

Therefore:

a) the independent variable is the altitude, and
b) the dependent variable is the boiling point of water in Farenheit.

3) The slope of the graph would be:

                 change in the dependent variable          change in boiling point
slope = --------------------------------------------------- =  ---------------------------------
</span>                 change in the independent variable          change in altitude

Therefore, the slope represents the average change in the boiling boilin point of water every one thousand feet on change of altitude.

If the relationship is not linear, then the slope is not constant, and you will have different slopes for different parts.

If the slope is negative, means that as the altitude increase the boiling point of water decrease.

You can calculate the slope using any two pair of points (data)

              212 - 210           2
slope =---------------- =   ------- = - 2
                0 - 1            - 1

or, using other pair of points:

                204.8 - 210           -5.2             
slope = --------------------- =   --------- = -2.6
                  4.0 - 2.0               2.0

As you see, the slope is not constant. So, the function is not linear.
5 0
3 years ago
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Answer:

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Step-by-step explanation:

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