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3 years ago

What is the sequence in a pattern?

1 answer:

8 0

A sequence is a list of numbers, geometric shapes or other objects, that follow a specific pattern. The individual items in the sequence are called terms , and represented by variables like x n .

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Which equation is y = –3x2 – 12x – 2 rewritten in vertex form?

AlekseyPX

Answer:

The vertex form is y = -3(x + 2)² + 10

Step-by-step explanation:

* Lets revise how to put the quadratic in the vertex form

- The general form of the quadratic is y = ax² + bx + c, where

a , b , c are constants

# a is the coefficient of x²

# b is the coefficient of x

# c is the numerical term or the y-intercept

- The vertex form of the quadratic is a(x - h)² + k, where a, h , k

are constants

# a is the coefficient of x²

# h is the x-coordinate of the vertex point of the quadratic

# k is the y-coordinate of the vertex point of the quadratic

- We can find h from a and b ⇒ h = -b/a

- We find k by substitute the value of h instead of x in the general form

of the quadratic

k = ah² + bh + c

* Now lets solve the problem

∵ y = -3x² - 12x - 2

∵ y = ax² + bx + c

∴ a = -3 , b = -12

∵ h = -b/2a

∴ h = -(-12)/2(-3) = 12/-6 = -2

- Lets find k

∴ k = -3(-2)² - 12(-2) - 2 = -3(4) + 24 - 2 = -12 + 24 - 2 = 10

* Lets writ the vertex form

∵ y = a(x - h)² + k

∵ a = -3 , h = -2 , k = 10

∴ y = -3(x - -2)² + 10

∴ y = -3(x + 2)² + 10

* The vertex form is y = -3(x + 2)² + 10

6 0

3 years ago

Read 2 more answers

Use the distributive property to complete the equivalent expression

ad-work [718]

Answer:

4(y-3)

4y-12 is your answer

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

The formula for finding the volume of a sphere is V = r 2.<br><br> True<br> False

Amanda [17]

Answer:

False

Step-by-step explanation:

The volume of a sphere is equal to $\frac{4}{3} \pi r^{3}$

3 0

4 years ago

The population of a city decreases by 2.5% per year. If this year's population is 237,000, what will next year's population be,

Mrac [35]

231075 All you got to do is 237,000 - 2.5%

8 0

3 years ago

What is 5÷ =68 this is my homework I need an answer today

Elena-2011 [213]

The answer would be 13.6

You can find out by setting this up as a proportion
$\frac{5}{x} = \frac{68}{1}$
Now cross multiply 5 x 1 = 5 and now divide 68/5 = 13,6 and we can check this by multiplying 13.6 x 5 = 68 so we know our 13.6 is correct

6 0

4 years ago