Answer:
Step-by-step explanation:
Considering the polynomial 2x⁵ + 4x³ - 3x⁸. The polynomial is not yet in standard form. For a polynomial to be in standard form, the power of the variables must decrease as we progress to the right of the expression.
A) The polynomial in standard form is therefore<u> - 3x⁸ + 2x⁵ + 4x³</u>. <em>We can see that the power are reducing as we move through each terms i.e from 8 to 5 then to 3.</em>
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B) The degree of a polynomial is the maximum degree among all the terms of the polynomial. The term that has the maximum degree is -3x⁸. Hence, the degree of the polynomial is 8
C) There are only 3 terms in the polynomial given. The terms are separated by mathematical signs. The terms if the polynomial are 2x⁵, 4x³ and - 3x⁸.
D) The leading term of the polynomial is the term that comes first after rewriting the polynomial in standard format. Given the standard from of the polynomial given as -3x⁸ + 2x⁵ + 4x³, the leading term will be - 3x⁸
E) Given the leading term to be - 3x⁸, the leading coefficient of the polynomial will be the coefficient of the leading term. The coefficient of -3x⁸ is -3
Answer:
the second choice. and its shorter by 17 miles
Step-by-step explanation:
Answer:
1 drink costs
and 1 popcorn bag cost 
Step-by-step explanation:
Given:
Sarah spends a total of $47.00 on 12 drinks and 1 bag of popcorn.
Kaylee spends a total of $81.75 on 3 drinks and 9 bags of popcorn
Let the price of 1 drink be x
Let the price of 1 popcorn bag be y
Sarah Spends is given by:

Kayle spends is given by:

Now putting the value of x in sarah spending equation we get

Now Substituting value of y=8 in Sarah spends equation we get

Hence 1 drink costs
and 1 popcorn bag cost 
The answer is 12.5 if you are using the answer in decimal form
Answer:
Candace must make 32 sales.
Step-by-step explanation:
You can describe Candice weekly pay as a first degree function.
In our function, each sale n is the independent variable and her pay P is the the dependent variable. P is dependent of n, so we are going to write as P(n).
So, we can model the equation of P as a function of n by the following equation:
P(n) = 425 + 17.75n,
where, as the problem states, 425 is the flat rate and 17.75 is her comission for each sale n.
Now, the question is how many sales must Candace make to make $993 in one week. So, we want P(n) to be equals to $993 and we have to find n.
993 = 425 + 17.75n
Now we just need to solve this equation
993-425 = 17.75n
568 = 17.75n
n = 568/17.75
n = 32
So, to make $993 in one week, Candace must make 32 sales.