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3 years ago

What is the vertex of y=3|x+1|-2

Mathematics

1 answer:

spin [16.1K]3 years ago

7 0

Answer:

(-1,-2)

Step-by-step explanation:

Generally, the absolute value function can be expressed like so:

f(x) = y = a|x-h|+k, where vertex: (h,k)

Rewriting our function here ever so slightly gives us: y = 3|x-(-1)|+(-2)

So the vertex is at (-1,-2)

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I need help with three math (algebra) problems?

Bumek [7]

1.
A. (49-8)*2-16, 41*2-16, 82-16, 66, yep
B. 49-8*-14, 49+112, 161, nope
C. 7^(-16)-16, (1/(7^16))-16, nope
D. 49-16-16, 17, nope

A is answer

2.
2((a+b)²-b)
2((7+1)²-1)
2((8)²-1)
2(64-1)
2(63)
126
C is answer

4.
none of the options give the answer

3 0

3 years ago

Please help im lost i dont understand this objective

sukhopar [10]

Answer:

Explained Below

Step-by-step explanation:

You'll want to start off by knowing the formulas for the area and perimeter of triangles:

Area Formula - A= 1/2 bh (1/2 x base x height)

Perimeter Formula - P = a + b + c (sides added together)

So, we will plug in the numbers.

Triangle 1: A = 1/2 bh So, A = 1/2 8 x 10, which means half of 8 or 10 multiplied by the number that you did not half. (For instance: If you half 8, that means you multiply 4 and 10.) Now, you should have A = 40 either way (4 x 10 = 40 and 8 x 5 = 40).

P = a + b + c. So, you will add 8, 6, and 10. This is 14.

Triangle 2: A = 1/2 bh. But, this triangle requires you to cut in half. Doing this, that cuts your base as well. It will no longer be 30, by 15. For the left side of triangle 2, it will be A = 1/2 15 x 12, which you half either 15 or 12, where 12 is easier. Now it should be A = 15 x 6, which is 90. The right side of the triangle will be A = 1/2 15 (12) as well, which is also 90. In the end, you will add it together, which is 180.

P = a + b + c. So, you will add 15, 23, and 12 first. Then, add 15, 20, and 12. You should have 50 and 47, which you will add that together as well.

Triangle 3: I will keep working on this one, as I am a little unsure :/

Triangle 4: You will do the same steps for this triangle like you did on #2. Though the numbers you plug on are different. A = 1/2 bh - A = 1/2 10 x 14. (This is for the left side) You will have to half either the base or the height's number. So, it will be A= 5 x 14 or A=10 x 7. Then, you will multiply and find your answer (70). (This is for the right side) A = 1/2 10 x 14. Due to the numbers being the same, it can be shown that the area will also be 70. You then add 70 and 70 together.

P = a + b + c. You will add 10, 14, and 15 for the left side and 10, 14, and 17 for the right side. Once you add them separately, add the answers together (10+14+15 =39 and 10+14+17 = 41. 39 + 41 = 80.

Triangle 5: A=1/2 bh. A = 1/2 12 x 16. You will half either 12 or 16 (It does not matter). Then you should have A = 6 x 16 or A = 12 x 8. Either way, your answer is 96.

P = a + b + c. You will add 12, 16, and 18. This results in 46.

<em>Hope this helps! I will continue to figure out Triangle 3</em>

7 0

2 years ago

One month, a homeowner used 150 units of gas and 520 units of electric for a total cost of $84.20. The next month, 210 units of

Tom [10]

Answer:

gas = $0.23, electricity = $0.10

Step-by-step explanation:

4 0

2 years ago

Prepare the journal entries on December 31, 2019, for the 40 extended contracts (the first year of the revised 3-year contract).

Pavel [41]

This is not the complete question, the complete question is:

P18-1 (LO2,3) (Allocate Transaction Price, Upfront Fees)

Tablet Tailors sells tablet PCs combined with Internet service, which permits the tablet to connect to the Internet anywhere and set up a Wi-Fi hot spot. It offers two bundles with the following terms.

1. Tablet Bundle A sells a tablet with 3 years of Internet service. The price for the tablet and a 3-year Internet connection service contract is $500. The standalone selling price of the tablet is $250 (the cost to Tablet Tailors is $175). Tablet Tailors sells the Internet access service independently for an upfront payment of $300. On January 2, 2017, Tablet Tailors signed 100 contracts, receiving a total of $50,000 in cash.

2. After 2 years of the 3-year contract, Tablet Tailors offers a modified contract and extension incentive. The extended contract services are similar to those provided in the first 2 years of the contract. Signing the extension and paying $90 (which equals the standalone selling of the revised Internet service package) extends access for 2 more years of Internet connection. Forty Tablet Bundle A customers sign up for this offer.

INSTRUCTION

a) Prepare the journal entries when the contract is signed on January 2, 2019, for the 40 extended contracts. Assume the modification does not result in a separate performance obligation.

b) Prepare the journal entries on December 31, 2019, for the 40 extended contracts (the first year of the revised 3-year contract).

Answer:

Step-by-step explanation:

(A)

Date Particulars Debit Credit

2-Jan-19 Cash 3600

Unearned Service Revenue 3600

40 * 90 = 3600

services in the extended period are the same as the services that were provided in the original contract period. As they are not distinct hence the modifications will be considered as part of the original contract.

(B)

Date Particulars Debit Credit

31-Dec-19 Unearned Service Revenue 2413

Service revenue 2413

internet = 300, price = 550, connection service = 500

(300/550) * 500 = 273

Original internet service contract = 40 * 273 = 10,920

Revenue recognized in 1st two years = 10,920 * 2/3 = 7280

Remaining service at original rates = 10920 - 7280 = 3640

Extended service = 3600

3640 + 3600 = $7240

7240 / 3 = $2413

6 0

3 years ago

A football stadium is capable of seating a maximum of m fans. For each game, the

klasskru [66]

Answer:

The revenue depends on the number of people n that purchases tickets, knowing that each ticket costs $30.00, the total revenue will be:

f(n) = $30.00*n

Now, we also know that the stadium is capable of seating a maximum of m fans, so the maximum possible value for n is m.

Now, for the function f(n), we have that:

The domain is the set of the possible values of n

The range is the set of the possible values of f(n).

We want to find the domain.

First, the minimum possible value of n is 0, the case where nobody purchases a ticket.

The maximum possible value of n is m, this is the case where the stadium is full.

Then the domain will be:

D= {n,m ∈ Z, 0 ≤ n ≤ m}

Where we imposed that n must be an integer number because n represents a whole quantity.

5 0

2 years ago