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3 years ago

Finding the nth term of this sequence: (by the way I'm learning quadratic sequences=

Mathematics

1 answer:

Paul [167]3 years ago

8 0

Answer:

n^2+2n+1

Step-by-step explanation:

-2-8-18-32-50

difference=-6-10-14-18

common differences=-4-4-4-4-4

-2-8-18-32-50

n^2=1,4,9,16,25

minus it

=-1,-4,-9,-16,-25

differences 2,5,7,9

common differences=2

2,4,6,8

so 2n+1

so the answer is n^2+2n+1

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The tables show linear functions representing the estimated time it takes for the math and language arts portions of standardize

Fed [463]

The language arts function has the greater slope. Then the correct option is C.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The tables show linear functions representing the estimated time it takes for the math and language arts portions of standardized tests with different numbers of questions.

The table is shown below.

The slope of math will be

Slope of math = (207 - 87)/ (65 - 25)

Slope of math = 120/40

Slope of math = 3

The slope of language arts will be

Slope of language arts = (248 - 88)/(60 - 20)

Slope of language arts = 160/40

Slope of language arts = 4

The language arts function has the greater slope, which shows that the estimated time per question for language arts is less than the estimated time per question for math.

More about the linear system link is given below.

brainly.com/question/20379472

#SPJ1

6 0

3 years ago

A huge suspended LED screen is the centerpiece of The Place, a popular mall in Beijing, China. Find the length and width of a si

dusya [7]

The length and width of the similar rectangular screen are 110 meters and 35 meters respectively.

<u>SOLUTION: </u>

Given, A huge suspended LED screen is the centerpiece of The Place, a popular mall in Beijing, China.

We have to find the length and width of a similar rectangular screen

We are also given that the length is 5 meters more than 3 times its width,

Let width of rectangle be "b" meters, the its length will be 5 + 3b meters

And, the viewable area is 3,850 square meters.

$\begin{array}{l}{\text { So, area }=3850} \\\\ {\text { Length } \times \text { width }=3850} \\\\ {(5+3 b) \times b=3850} \\\\ {5 b+3 b^{2}=3850} \\\\ {3 b^{2}+5 b-3850=0}\end{array}$

Now,let us use quadratic formula:

$\begin{array}{l}{\mathrm{x}=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}} \\\\ {\text { Then, } \mathrm{b}=\frac{-5 \pm \sqrt{5^{2}-4 \times 3 \times(-3850)}}{2 \times 3}}\end{array}$

$\begin{array}{l}{\mathrm{b}=\frac{-5 \pm \sqrt{25+46200}}{6}} \\\\ {\mathrm{b}=\frac{-5 \pm \sqrt{46225}}{6}} \\\\ {\mathrm{b}=\frac{-5 \pm 215}{6}} \\\\ {\mathrm{b}=\frac{-5+215}{6} \text { or } \frac{-5-215}{6}} \\\\ {\mathrm{b}=\frac{210}{6} \mathrm{or} \frac{-220}{6}}\end{array}$

Neglect negative values as width can’t be negative

$b=\frac{210}{6}=35$

so, width = 35 meters, then length = 5 + 3(35) = 5 + 105 = 110 meters

hence, the length and width of the similar rectangular screen are 110 meters and 35 meters respectively.

3 0

3 years ago

Which shape is not always a parallelogram?

Sholpan [36]

B is the answer I think I spend to much

6 0

3 years ago

Charlotte owns two entertainment websites. Here are some details about those websites for one entire month: Website A Website B

irina1246 [14]

Answer:

I'm pretty sure its choice c and d i'm sorry if its not i did all the math, although i might have gotten it wrong, just double check.

Step-by-step explanation:

4 0

3 years ago

Factor and simplify: 4a^2c^2(a^2-b^2+c^2)^2

Dvinal [7]

4a^2c^2(a^2-b^2+c^2)^2 First, solve the exponent around the quantity. Being that it's a power of a power, you would multiply all the exponents inside the parentheses by two. So, after that, it would be: 4a^2c^2(a^4-b^4+c^4) Then, you would multiply what's outside the parentheses with every term within the parentheses: (4a^6c^2)-(4a^2c^2b^4)+(4a^2c^6) Now, you think you can take it from here, or do you need me to keep going?

8 0

3 years ago