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Anuta_ua [19.1K]
3 years ago
6

What would be the first and last terms of the polynomial if it was written in standard form? 2(x^2 − 5x +4) − (x +3)(x+ 2)

Mathematics
1 answer:
VikaD [51]3 years ago
7 0

Answer:

So first term of the standard equation will be x^2 and last term will be 2

Step-by-step explanation:

We have given polynomial 2(x^2-5x+4)-(x+3)(x+2)

We have to write this polynomial in standard form

So for writing in standard form we have to multiply this polynomial  and then subtraction

=2x^2-10x+8-(x^2+5x+6)=2x^2-10x+8-x^2-5x-6=x^2-15x+2

So first term of the standard equation will be x^2 and last term will be 2

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Tamara can proofread 12 pages in 6 minutes. how many minutes will it take her to proofread 96 pages?
Gelneren [198K]
<span>she can proofread 12 pages in 6 minutes.
then we need to find how many minutes it takes to proofread 1 page.
                                                                           
Since 12 pages take 6 minutes
                                                                           
then 1 page takes = 6 minutes / 12 pages = 0.5
                                                                           
then rate is 0.5 minutes / page.
                                                                           
so then if it takes 0.5 minutes to proofread 1 page then 96 pages it takes - 0.5 minutes / page x 96 pages
                                                                           
time taken = 48 minutes</span>
5 0
3 years ago
Indicate the general rule for the arithmetic sequence with a3 = -12 and a8 = -37. an = -2 + (n-1)(-5) an = -2 + (n-1)(5) an = 2
Marina86 [1]
From the 3rd term to the 8th term, we'd need to use the "common difference" or "d", 5 times, namely add it that many times, to get the 8th term, thus

\bf \begin{array}{ll}&#10;term&value\\&#10;\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\&#10;a_3&-12\\&#10;a_4&-12+d\\&#10;a_5&-12+d+d\\&#10;a_6&-12+d+d+d\\&#10;a_7&-12+d+d+d+d\\&#10;a_8&-12+d+d+d+d+d\\&#10;&-12+5d\\&#10;&-37&#10;\end{array}\implies -12+5d=-37&#10;\\\\\\&#10;5d=-25\implies d=\cfrac{-25}{5}\implies d=-5

we know the 3rd term is -12, so the first one has to be -12+5+5, undoing the -5's, so the first term is -2.
 
\bf n^{th}\textit{ term of an arithmetic sequence}&#10;\\\\&#10;a_n=a_1+(n-1)d\qquad &#10;\begin{cases}&#10;n=n^{th}\ term\\&#10;a_1=\textit{first term's value}\\&#10;d=\textit{common difference}\\&#10;----------\\&#10;a_1=-2\\&#10;d=-5&#10;\end{cases}&#10;\\\\\\&#10;a_n=-2+(n-1)(-5)
4 0
4 years ago
Determine the least three-digit number that is divisible by 3,5 and 9
Phoenix [80]
Determine the least three digit number that is divisible by 3,5, and 9
135
because 5 • 3 • 9 is 135 and there isn't a three digit number divisible by each of the three numbers
8 0
3 years ago
Estimates show that there are 1.4x10^8 pet fish and 9.4x10^6 pet reptiles in the United States. How many pet fish and reptile pe
azamat

Answer:

There are total number of pet fish and reptile pets are 1.49\times 10^8.

Step-by-step explanation:

Number of pet fish are 1.4\times 10^8 and the number of pet reptiles are 9.4\times 10^6.

It is required to find the total number of pet fish and reptile pets in the United States. It can be done by simply adding the above numbers such that total numbers are given by :

T=1.4\times10^{8}+9.4\times10^{6}\\\\T=149400000\\\\T=1.49\times 10^8

So, there are total number of pet fish and reptile pets are 1.49\times 10^8.

8 0
3 years ago
You bought 5 pounds of hamburger meat, and you want to make quarter pounders (each weigh .25 of a pound). How many quarter pound
zaharov [31]
Katy is wrong because 5 divided by .25 is 20. 20 quarter pounders can be made.
7 0
3 years ago
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