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marusya05 [52]
3 years ago
9

What is f(x) = 8x2 + 4x written in vertex form?

Mathematics
1 answer:
Pepsi [2]3 years ago
8 0
First of all, you need to complete the square of \(x\)

and this could be done as follows:

f(x)=8[x^2+0.5x]
     =8[x^2 + 0.5x + (0.5/2)^2 - (0.5/2)^2]
     =8[(x^2 + 0.5x +1/16) - 1/16]
     =8[(x+0.25)^2 - 1/16]


And our parabola has the vertex form of this:
 
     f(x)=8(x+ \frac{1}{4})^2 -  \frac{1}{2}

and according to the chart I attached, the vertex is (-0.25,-0.5)


Tell me <span>if there is any difficulty faces you!</span>

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Evaluate each expression, m= 4, x= 9, and r= 1/6
bagirrra123 [75]
4. 14
5. 6
6. 1/12
These are the answers to the questions

8 0
3 years ago
A Monopoly player claims that the probability of getting a 2 when rolling a​ six-sided die is one sixth because the die is equal
Kisachek [45]

Answer:

<h2>It is Theoretical probability.</h2>

Step-by-step explanation:

Theoretical probability determines the likelihood of some incidents to happen.

Theoretical probability is the ratio between the total number of possible outcomes and the desired outcome.

Here, the desired outcome is getting a 2 that is only one desired outcome, where as total possible outcomes are 6. Here, the probability of getting a 2 is \frac{1}{6}.

Empirical probability depends on observance. In the given question, nothing related to observance of the given incident has mentioned, hence it is not empirical probability.

8 0
3 years ago
ABC Insurance offers an annuity with 4.5% APR for the next 5 years. You decide to invest $1000 each year into this account. What
kipiarov [429]

Answer:

Ordinary annuity

Step-by-step explanation:

Given : ABC Insurance offers an annuity with 4.5% APR for the next 5 years. You decide to invest $1000 each year into this account.

To find : What type of annuity is this?

Solution :

Annuity is the form of insurance in which some of the money is paid each year to secure for future.

There are two types of annuity:

Ordinary annuity - In this annuity the payment is made at the end of each period  over a fixed length of time. Also in this annuity payments are made monthly, quarterly, semi-annually or annually.

Annuity due - is the opposite of ordinary annuity as in this the payment is made at the beginning of each period.

In the given situation the annuity is ordinary annuity because the investment is done each year for 5 years.


7 0
3 years ago
Read 2 more answers
Número racional no entero
Varvara68 [4.7K]

An estar escrito en la forma n / 1. Por ejemplo, 5 = 5/1 y, por tanto, 5 es un número racional. Sin embargo, números como 1/2, 45454737/2424242 y -3/7 también son racionales, ya que son fracciones cuyo numerador y denominador son números enteros.

Espero que esto te ayude

6 0
3 years ago
A student solved this problem and said the answer is about 7 quarts. Eddie has paint left over from a project. He has 2 fraction
Ilia_Sergeevich [38]
The answer would be C.
6 0
4 years ago
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