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zzz [600]
3 years ago
7

If f(x) = x2, and g(x) = x – 1, then f(g(x)) = [? ]x2+[?]+ [?]

Mathematics
1 answer:
Basile [38]3 years ago
5 0

Answer:

f(g(x)) = x² - 2x + 1

Step-by-step explanation:

To find f(g(x)), substitute x = g(x) into f(x) , that is

f(g(x))

= f(x - 1)

= (x - 1)² ← expand using FOIL

= x² - 2x + 1

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Identify the sequence graphed below and the average rate of change from n = 1 to n = 3. coordinate plane showing the point 2, 10
Katena32 [7]

Answer:

  • geometric sequence with initial value 20 and common ratio 1/2
  • average rate of change on [1, 3] = -7.5

Step-by-step explanation:

(a) The given points have sequential values of x and values of y that are each 1/2 the value before. The common ratio tells us the sequence is a geometric sequence.

(b) The first given point is (2, 10), so extrapolating backward, we determine the previous point to be ...

... (2-1, 10/(1/2)) = (1, 20)

Thus, we have enough information to determine the average slope between n=1 and n=3.

... (difference in y)/(difference in n) = (5 -20)/(3 -1) = -15/2 = -7.5

4 0
3 years ago
Mr. Luis wants to sell his house. The state he lives in charges a 3.5% sales tax on the sale of a house. The county charges a 3.
GarryVolchara [31]

We have been given that Mr. Luis wants to sell his house. The state he lives in charges a 3.5% sales tax on the sale of a house. The county charges a 3.9% sales tax, and the city charges a 2.2% sales tax.

We are asked to find the total tax, if Mr Luis sells his home for $122,500.

To find total tax, we will add all tax rates as they are being applied to same base.

\text{Total of tax rates}=3.5\%+3.9\%+2.2\%

\text{Total of tax rates}=9.6\%

Now we will find 9.6% of $122,500 to find total tax bill.

\text{Total tax bill}=\$122,500\times \frac{9.6}{100}

\text{Total tax bill}=\$1225\times 9.6

\text{Total tax bill}=\$11,760

Therefore, the total tax bill of Mr. Luis would be \$11,760.

5 0
3 years ago
Which our equivalent to -11/4
katrin [286]
-11 divided by 4 and -11/4
5 0
3 years ago
Choose the constant term that completes the perfect square trinomial.<br><br> y2 + y
Oduvanchick [21]

Hello!

First off, please write y2 + y as y^2 + y. The " ^ " symbol denotes exponentiation, whereas y2 is meaningless.

To find the constant term in question, take half of the coefficient of y (that is, take 1/2) and square it. Then we have y2 + y + 1/4.

The constant term in question is 1/4.


3 0
3 years ago
PLEASE HELP ME!!!! THIS IS TIMED PLEASE HELP ME!!!! PLEASE!!!! PLEASE HELP ME!
guapka [62]

Answer:

18/28

Step-by-step explanation:

7 0
3 years ago
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