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Maksim231197 [3]
3 years ago
11

If f(x) = -9x +9 and g(x)+squroot x+1, what is (f degree sign g) 24

Mathematics
1 answer:
Leno4ka [110]3 years ago
7 0
(f ° g) (x) means the composition of the two functions in this order f (g (x) )

So, given f(x) = - 9x + 9 and g(x) = √(x + 1),  you must do this:

f(g(x)) = - 9 [ g(x) ] + 9 = - 9 [√(x+1) ] + 9 => f(g(24) = - 9 √(24 + 1) + 9 = - 9√25 + 9 =

= -9(5) + 9 = -45 + 9 = - 36

Answer: - 36
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Which list shows the numbers in order from greatest to least? A) 2.022 > 2.51 > 2.505 > 2.52 B) 7.117 > 7.37 > 7.
Tresset [83]

Answer:

d

Step-by-step explanation:

5 0
4 years ago
Mrs. Speas has $138 in her bank account during Week #1. At the end of each week, she deposits $55 into her bank account. What is
nordsb [41]

The first term is 138

The difference is 55

The iterative rule for the amount of money Mr Speas has after n weeks is

55/2 n² + 221/2 n

During the first week she has $138 in his bank account. At the end of each week she deposited $55 into her bank account.

The first term will be 138 .

The common difference is 55 because her bank always increase by $55 dollars every week. The sequence will be 138, 193, 248, 303, 358...…

The difference = 193 - 138 = 55.

The iterative rule for the amount of money Mr Speas has after n weeks can be represented  below

n = number of weeks

a = first term = 138

d = common difference = 55

Using AP formula,

sₙ = n/2(2a + (n - 1)d)

sₙ = n/2 (2(138)+ (n - 1)55)

sₙ = n /2(276 + 55n -55)

sₙ = n /2(221 + 55n)

sₙ = 55/2 n² + 221/2 n

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6 0
2 years ago
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jasenka [17]

Answer:

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Step-by-step explanation:

7 0
3 years ago
$1100 at 8%, for 15 years, compounded annually.
ololo11 [35]

Answer:

$3489.39

Step-by-step explanation:

This question is an example of compound interest. To work this out you would first have to convert the percentage of 8% into a decimal. To do this you would divide the percentage of 8 by 100, which gives you 0.08. You would divide the percentage by 100 as percentages of a whole amount are out of 100.

The next step is to add 1 to 0.08, which gives you 1.08. This is because the question is asking to increase the amount by 8% and that as 1 is the whole amount, this means that 1.08 is 8% more than the whole amount.

Then to work out how much there will be after 15 years you would multiply the amount of 1100 by 1.08 to the power of 15, which gives you 3489.39. This is because to work out 8% would only work it out for one year however for compound interest you would need to work out 8% extra and then the next year work out the 8% of the new total.

1) Divide 8 by 100.

8/100=0.08

2) Add 1 to 0.08.

1+0.08=1.08

3) Multiply 1100 by 1.08 to the power of 15.

1100*1.08^{15} =3489.39

3 0
3 years ago
Write an equation in point-slope form for the line.
ipn [44]
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m = 4 , x1 = 1 and y1 = 3,  so its

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4 years ago
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