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2 years ago

8

N th term of quadratic sequence 3, 11 , 25, 45

1 answer:

choli [55]2 years ago

6 0

The first differences are 8, 14, 20.

The second differences are 6.

Half of 6 is 3, so the first term of the sequence is 3n^2.

If you subtract 3n^2 from the sequence you get 0,-1,-2,-3 which has the nth term of -n + 1.

Therefore your final answer will be 3n^2 - n + 1

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Hey can someone help me with this?? Im very confused and need this explained to me! Thank you so much!!

Over [174]

Answer:

( C ) ΔMLN ≅ΔTSR

Step-by-step explanation:

Okay I got you!

So if the triangle <u>str</u> was flipped and rotated the other way then you will see that they are similar. They are asking what other "pairs" could you do to make it equivalent. Since M = T then you got your first pair. Next you go to N and when you look at the shape you'll see it will be S. N=S. And the last one would be L=R. I hope I was helpful enough! uwu Try to draw them out it will be helpful!!

8 0

3 years ago

A square rug has an area 36 ft squared. Write the side length as a square root. Then decide if the side length is a rational num

Masja [62]

Answer:

Side length = 6 ft

Step-by-step explanation:

Each side is 6 ft

6 x6 = 36 square feet

6 0

1 year ago

Read 2 more answers

The initial number of views for a blog was 10. The number of views is expected to grow at a rate of 15% per week. How many views

Norma-Jean [14]

Answer:

20 views

Step-by-step explanation:

Initial number = 10
Weekly growth rate = 15% or 1.15 times

<u>Equation for this relationship:</u>

V(t) = 10*1.15^t, where t - number of weeks

<u>Number of views in 5 weeks:</u>

V(5) = 10*1.15^5 = 20 views (rounded)

5 0

3 years ago

27^x −1 = 9^3x−7 what is X

tigry1 [53]

x is $\frac{11}{3}$

Step-by-step explanation:

Let us revise some rules of exponents

$(a^{n})(a^{n})=a^{m+n}$
$\frac{a^{m}}{a^{n}}=a^{m-n}$
$(a^{m})^{n}=a^{mn}$
$a^{m}=a^{n}$ , then m = n

∵ $27^{x-1}=9^{3x-7}$

- Factorize 27 and 9

∵ 27 = 3 × 3 × 3

∴ 27 = 3³

∵ 9 = 3 × 3

∴ 9 = 3²

Substitute them in the equation

∴ $(3^{3})^{x-1}=(3^{2})^{3x-7}$

- Use the third rule to simplify each side

∴ $(3)^{3x-3}=(3)^{6x-14}$

- Use the fourth rule

∵ The bases of the two sides are equal

∴ Their exponents are equal

∴ 3x - 3 = 6x - 14

- Subtract 6x from both sides

∴ -3x - 3 = -14

- Add 3 to both sides

∴ -3x = -11

Divide both sides by -3

∴ x = $\frac{11}{3}$

x is $\frac{11}{3}$

Learn more:

You can learn more about equations in brainly.com/question/4934417

#LearnwithBrainly

3 0

3 years ago

The triangle shown on the graph above is rotated 90 degrees clockwise about the original to form triangle P’Q’R which of the fol

azamat

Hey there! I'm happy to help!

When rotating a point 90 degrees clockwise about the origin, our original point (x,y) becomes (-y,x), because it is now at a negative y-value.

We see that our point P is at (1,2). We can use this rotation formula to find the coordinates of P' (the new spot where P is)/

(x,y)⇒(-y,x)

(1,2)⇒(-2,1)

Therefore, the coordinates of the point P' are (-2,1).

Have a wonderful day! :D

4 0

3 years ago