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Andrej [43]
3 years ago
6

Which of these relations is a function? Which number?

Mathematics
1 answer:
PolarNik [594]3 years ago
5 0

Answer:

#1 is the only relation that is a function.

Step-by-step explanation:

The definition of a function is that every x value (within the interval; for continuous functions) has one y value.  This means that one x value CANNOT have two y values and still be a function.  You can use the vertical line test, do this by imagining a vertical line going up and down the graph.  If that line touches two or more points, then that means there are more than 1 y value for at least one of the x values.  That is a quick way to determine if it's a function.  Only #1 passes this test.

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I need help with 8–4 + 9 x 12​
Alenkasestr [34]

Answer:

112

Step-by-step explanation:

8–4 + (9 x 12)

8–4 + 108

112

3 0
2 years ago
-3y+10=-14 Explain How To Solve The Answer.
Sonja [21]
You want to isolate the variable 'y'.

\sf -3y+10=-14

Subtract 10 to both sides:

\sf -3y=-24

Divide -3 to both sides:

\sf y=\boxed{\sf 8}
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3 years ago
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Solve the equation 2x^2+8x-1=0 by completing the square. Give your answer to 2 decimal places 4 marks
ad-work [718]

Answer:

Step-by-step explanation:

3 0
3 years ago
If the terms at Chase Bank are a 10% down payment, an interest rate of 4%, a 30-year conventional mortgage and 3 points to be pa
dangina [55]

Answer:

  • closing cost: $13,335
  • payment: $451.16
  • total cost: $175,751.68

Step-by-step explanation:

<u>Step 1</u> - compute the down payment

  10% × $105,000 = $10,500

<u>Step 2</u> - compute the loan amount

  $105,000 -10,500 = $94,500

<u>Step 3</u> - compute the cost of the loan and closing costs

The cost of the loan is 3% of the loan value:

  3% × $94,500 = $2835

This amount added to the down payment gives the closing costs:

  closing cost = $10,500 +2,835 = $13,335

<u>Step 4</u> - compute the monthly payment

For this, we use the amortization formula for payment A on principal P at interest rate r for n years:

  A = P(r/12)/(1 -(1 +r/12)^(-12n))

  A = $94,500(.04/12)/(1 -(1 +.04/12)^(-12×30)) ≈ $451.16 = monthly payment

<u>Step 5</u> - compute the amount repaid on the loan

  total of payments = 30×12×$451.16 ≈ $162,416.68

For this calculation, we use the full-precision value of the loan payment, not the value rounded to cents found in step 3. Doing that approximates the effect of the adjustment that will be made in the final payment of the loan.

<u>Step 6</u> - find the total cost of the home

The loan repayment amount is added to the closing costs:

  $162,416.68 +13,335 = $175,751.68 = total cost paid

_____

<em>Comment on Step 5</em>

You may find the required answer for total repayment amount is $0.92 higher, $175,752.60. The total amount of 360 payments of 451.16 is $162,417.60, which is higher than the amount shown above in Step 5.

Since the monthly payment amount is rounded <em>up</em> to the nearest penny, loan repayment is actually very slightly faster, so the final payment does not need to be the full amount of $451.16. In real life, the bank will let you know the final payment amount, or will refund the difference after the last payment.

8 0
3 years ago
Which expression is equivalent to the following complex fraction? (2-1/y)/(3+1/y)
alex41 [277]
The Equivalent of the complex fraction : "(2-1/y)/(3+1/y)"

would be (D) (2y-1)/(3y+1) 

That is the correct answer to this problem.
8 0
3 years ago
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