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Stels [109]
3 years ago
8

Write the standard form equation in vertex form. Classify the type of equation it is.

Mathematics
1 answer:
QveST [7]3 years ago
5 0

I rewrote it in vertex form (I think). I don't remember how to classify ellipses, circles, etc.. (It's been a long time since I've seen these).

The answer is in the red circle.

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Write a recursive formula and an explicit formula for the following arithmetic sequence.
xenn [34]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the sequence

11, 13, 15, 17, 19, ...

Determining the Recursive formula:

We know that a recursive formula is termed as a formula that specifies each term of the given sequence using the preceding terms.

From the given sequence it is clear that every term can be obtained by adding two to the previous term.

i.e. 13 = 11+2, 15 = 13+2, 17 = 15+2, 19 = 17+2

so

aₙ₊₁ = aₙ+2, for n ≥1

Therefore, a recursive formula is:

  • aₙ₊₁ = aₙ+2, for n ≥1

Determining the Explicit formula:

Given the sequence

11, 13, 15, 17, 19, ...

An arithmetic sequence has a constant difference 'd' and is defined by  

a_n=a_1+\left(n-1\right)d

computing the differences of all the adjacent terms

3-11=2,\:\quad \:15-13=2,\:\quad \:17-15=2,\:\quad \:19-17=2

The difference between all the adjacent terms is the same and equal to

d=2

also

a_1=11

so substituting d=2, a_1=11 in the nth terms

a_n=a_1+\left(n-1\right)d

a_n=2\left(n-1\right)+11

a_n=2n+9

Therefore, the Explicit formula is:

a_n=2n+9

4 0
3 years ago
Mary is selling chocolate bars to raise money. She earns $3 for each solid milk chocolate bar sold and $4 for each caramel-fille
m_a_m_a [10]

Answer:

3m + 4c

Step-by-step explanation:

Whenever a word problem says the word earn that means the slope, also known as the rate of change, will be positive. Knowing this you can determine that both the caramel and milk chocolate slopes will be positive. After figuring all that out the only thing left to do is to make the equation. You know you have two slopes, and each slope needs a variable, so you will have to look back at the question. It is given that m represents the milk chocolate and c represents the caramel. Now all you have to do is make the slope the coefficient to the corresponding variable. The milk chocolates are 3 dollars, so the 3 goes in front of the m and the caramel chocolates are 4 dollars, so teh 4 goes in front of the 4. Since both slopes are positive no negatives or minus signs will be used in the equation. Knowing all this information you can now create the expression 3m + 4c.

6 0
3 years ago
Broccoli costs $ 1.50 per pound at a grocery store. How much money does 64 ounces of broccoli cost, before tax?
Ber [7]
Note that 1lb=16oz and set up multiplication/division to cancel out units that you do not need for the final answer.  (Units cancel just like numbers, this is fundamental to dimensional analysis)

64oz($1.50/16oz)=$6.00
3 0
3 years ago
Read 2 more answers
Can anyone answer this for me please and explain I really don’t understand it I’ll mark you brainliest
Elodia [21]

Answer:

I really don't know

6 0
3 years ago
Read 2 more answers
I NEED HELP!!!
oksano4ka [1.4K]

Answer:

x= -2, y = -3

Step-by-step explanation:

1. substitute x = 4+2y in the first equation: \begin{bmatrix}2\left(4+2y\right)+y=-7\end{bmatrix}

simplify it : \begin{bmatrix}8+5y=-7\end{bmatrix}

2. isolate y in 8 + 5y = -7 --> 5y = -7 - 8 -->

3. solve for y:  5y = -15 --> y = -15/5 --> y= -3

4. solve for x: x = 4 + 2y

x = 4 + 2(-3)

x = 4 + (-6)

x = -2

6 0
3 years ago
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