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Helen [10]
2 years ago
13

The function g is defined by g(x) = x^2-2. Find g(2a).

Mathematics
1 answer:
faltersainse [42]2 years ago
6 0

Answer:

g(2a) = 4a² - 2

Step-by-step explanation:

substitute x = 2a into g(x) , that is

g(2a) = (2a)² - 2 = 4a² - 2

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What is 4/5+1/4 ? In fraction form.
snow_lady [41]
To answer this question you must make a come factor between the 2 fractions I believe the easiest way to do this is multiply the denominator or bottom number by the other one so 4*5 and 5*4 and what you do to the denominator you must do to the numerator so you would have to do 4*4 and 4*5 for the first fraction to get 16/20 and repeat on the other side 1*5 and 4*5 or 5/20 so the to fractions are 16/20+5/20 then add just the numerators 16+5=21 or 21/20 and simplify to 1/20
6 0
3 years ago
9. Find the length of x in the right triangle. Give your answer to two decimal places.
NeX [460]

Answer:

Step-by-step explanation:

Use Pythagorean theorem,

base²+altitude² = hypotenuse²

x² + 14² = 40²

x² + 196 = 1600

     x² = 1600 - 196

    x² = 1404

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x = 37.47 ft

4 0
2 years ago
Using a spreadsheet program, create an amortization schedule for a 30-year mortgage of $500,000 at an annual interest rate of 4.
madreJ [45]

This exercise requires the ability to create Amortization Schedules Using a Spreadsheet program. Based on the information given about the Amortization of the loan, the principal payable per month became greater than the interest payable per month on the 159th month (given that the loan amount is $500,000.

<h3>In which month does the amount of principal in a monthly payment first exceed the amount of interest?</h3>

The amount of principal in a monthly payment first exceeds the interest payment In 159th Month. The interest on this month is $1, 248.39 while the principal on this month is $1, 205.46.

It is to be noted that when a loan is taken, the constituents of the amounts being paid back is the Principal and part of the interest on the loan.

<h3>How do you Calculate Amortization of Loans?</h3>

The yearly interest rate must be divided by 12.

Your monthly interest rate, for instance, will be 0.3525 percent if your annual interest rate is 4.23 percent (0.0423 annual interest rate x 12 months).

Additionally, you'll add 12 to the number of years remaining on your loan term.

<h3>How much interest is repaid for the term of the loan?</h3>

The total amount of interest that is paid for the term loan is $383,385.54

<h3>If the loan amount was $750,000 instead of $500,000, would the month in which the amount of principal in a monthly payment first exceeded the amount of interest change?</h3>

Yes it would change. It would change to the 165th month. In this month, the interest paid is $1, 834.00 while the principal paid back is $1,846.77. See the attached image for answer C.

Learn more about Amortization at;
brainly.com/question/10561878
#SPJ1

3 0
2 years ago
Graph the function.<br> y = -2x + 5
algol13
It’s shown in the picture !!!!!!

7 0
3 years ago
A group of friends wants to go to the amusement park. They have no more than $65 to spend on parking and admission. Parking is $
Aloiza [94]

Considering the definition of an inequality, the number of people who can go to the amusement park is 3.

<h3>Definition of inequality</h3>

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

  • greater than >.
  • less than <.
  • less than or equal to ≤.
  • greater than or equal to ≥.

An inequality contains one or more unknown values ​​called unknowns, in addition to certain known data.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

<h3>Number of people who can go to the amusement park</h3>

In this case, you know that:

  • A group of friends has no more than $65 to spend on parking and admission.
  • Parking is $9.75, and tickets cost $16.25 per person, including tax.

Being "p" the number of people who can go to the amusement park, the inequality that expresses the previous relationship is

$9.75 + $16.25×p ≤$65

Solving:

$16.25×p ≤$65 - $9.75

$16.25×p ≤$55.25

p ≤$55.25÷ $16.25

<u><em>p≤ 3.4</em></u>

Finally, the number of people who can go to the amusement park is 3.

Learn more about inequality:

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brainly.com/question/14361489

brainly.com/question/1462764

#SPJ1

4 0
2 years ago
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