The coefficient does not determine whether a function is a polynomial or not but the degree of the polynomial.
Multiplying polynomial expressions
Given the following product of the polynomial as shown below
10x^4 * 0.5x^3
Multiply the decimal and the exponent to have;
10x^4 * 0.5x^3
(10*0.5) *(x^4 * x^3)
(10*1/2) * (x^4+3)
(5)x^7
Hence the product of the given polynomial function is 5x^7
The error in Han's thinking is by assuming 0.5x^3 is not a polynomial because 0.5 is not an integer. The coefficient does not determine whether a function is a polynomial or not but the degree of the polynomial.
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The first term and common ratio for the geometric sequence are -3 and 5 respectively
<h3>Geometric sequence</h3>
This are sequence that increases exponentially. The nth term of the sequence is given as:
Tn = ar^n-1
where;
a is the first term
r is the common ratio
n is the number of terms
ar = -15
ar^3 = -375
Divide
r^2 = 375/15
r^2 = 25
r = 5
Determine the first term
a= -15/r
a = -15/5
a = -3
Hence the first term and common ratio for the geometric sequence are -3 and 5 respectively
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We need to compare the slopes....
CS
(1,12)(5,4)
slope = (4 - 12) / (5 - 1) = -8/4 = -2...so the slope of CS is - 2
KP
(1,9)(6,-6)
slope = (-6 - 9) / (6 - 1) = - 15/5 = -3...so the slope is -3
if the slopes would have been the same, it would be parallel because parallel lines have the same slope. if the slopes would have had negative reciprocal slopes, then it would be perpendicular. But since the slopes are neither of those...ur answer is neither.
Answer:
Therefore 1,460.57 liters will be made of petrolyn oil.
Step-by-step explanation:
Given that,
Petrolyn motor oil contains 5 liters of natural oil for every 7 liters of synthetic oil.
(7+5) liters= 12 liters petrolyn motor oil is made by 7 liters of synthetic oil and 5 liters of natural oil.
7 liters of synthetic oil used to made of 12 liters Petrolyn motor oil.
1 liters of synthetic oil used to made of 
liters Petrolyn motor oil.
852 liters of synthetic oil used to made of 
liters Petrolyn motor oil.
= 1,460.57 liters
Therefore 1,460.57 liters will be made of petrolyn oil.
Answer:
Multiplication
Step-by-step explanation:
x/5 = 3
Multiply by 5
x = 15
