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2 years ago

What is a polynomial

Mathematics

1 answer:

Alja [10]2 years ago

4 0

Answer:

Polynomials are algebraic expressions that consist of variables and coefficients. ... We can perform arithmetic operations such as addition, subtraction, multiplication and also positive integer exponents for polynomial expressions but not division by variable. An example of a polynomial with one variable is x2+x-12.

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In which quadrant will the triangle be located after this series of transformations? Does the size of the triangle change after

ASHA 777 [7]

Answer:

Step-by-step explanation:

1. Translate (x, y) → (x + 1, y + 2)

The x coordinate will be translated 1 units horizontally and the y coordinate will be translated up 2 units vertically but they are still locate in the 1st quadrant

2. R (origin, 90° clockwise)

It still locate in the 1st quadrant because after rotating it will create an angle 90°

3. Translate (x, y) → (x + 2, y - 3)

The x coordinate will be translated 2 units horizontally but the the y coordinate will be translated down 3 units vertically, so:

- It will remain in the first quadrant.

- There is no size of the triangle will change.

3 0

2 years ago

Identify the 12th term of the arithmetic sequence in which a7 = 40 and a18 = 106.

Lady_Fox [76]

we are given

airthematic sequence

we can use nth term formula

$a_n=a_1+(n-1)d$

n is number of terms

an is nth term

d is common difference

a1 is first term

We are given

a7=40

we can use it

$a_7=a_1+(7-1)d$

$40=a_1+6d$

$a_1+6d=40$

a18 = 106

$a_1_8=a_1+(18-1)d$

$a_1+17d=106$

we can subtract both equations

$a_1+17d-a_1-6d=106-40$

$11d=66$

$d=6$

now, we can find a1

$a_1+6d=40$

we can plug d=6

$a_1+6*6=40$

$a_1=4$

12th term:

$a_1_2=a_1+(12-1)d$

now, we can plug values

$a_1_2=4+(12-1)*6$

$a_1_2=4+66$

$a_1_2=70$

so, 12th term is 70...........Answer

3 0

3 years ago

Recipe A calls for 2 cups of sugar and makes 48 cookies. Recipe B calls for 3 cups of sugar and makes 54 of the same

Serga [27]

Answer:

B has more sugar per cookie

4 0

2 years ago

Read 2 more answers

There are 99 members in the Ohio House of Representatives. All of them were present when a vote was taken on a piece of legislat

horrorfan [7]

Answer:

40 "no" votes

Step-by-step explanation:

99 total members

-6 (Didn't vote)

93 left

-13 (more yes. Getting to where it's even votes)

80 left. (split evenly between yes and no)

7 0

2 years ago

Read 2 more answers

Find all solutions to the equation.<br><br> cos^2x + 2 cos x + 1 = 0

natali 33 [55]

$\bf cos^2(x)+2cos(x)+1=0\implies \stackrel{\textit{let's notice, this is simply }ax^2+bx+c=0}{[cos(x)]^2+2cos(x)+1=0} \\[2em] [cos(x)+1][cos(x)+1]=0 \\\\[-0.35em] ~\dotfill\\\\ cos(x)+1=0\implies cos(x)=-1\implies x=cos^{-1}(-1)\implies \stackrel{\textit{for the range }[0,2\pi ]}{x=\pi } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{\textit{all solutions}}{x=\pi +2\pi n~~,~~ n \in \mathbb{Z}}~\hfill$

6 0

3 years ago

What is a polynomial​

What is a polynomial