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leonid [27]
3 years ago
6

If f(x)=x^2 and g(x)=x-3, what is (f•g) (x)

Mathematics
2 answers:
lesantik [10]3 years ago
7 0

Answer:

Step-by-step explanation:

motikmotik3 years ago
4 0

Answer:

x² - 6x + 7

Step-by-step explanation:

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

f(g(x))

= f(x - 3)

= (x - 3)² - 2 ← expand factor using FOIL

= x² - 6x + 9 - 2

= x² - 6x + 7

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determinar el centro y el radio de la circuferencia completando los trinomio cuadrado perfecto x2 + y2 +64x -6y +64
valentinak56 [21]
Can you take it out of spanish. I speak english
4 0
3 years ago
Suppose you begin a job with an annual salary of $32,900. Each year you are assured of a 5.5% raise. What its the total amount t
murzikaleks [220]

Answer: The correct option is C

Step-by-step explanation:

You begin a job with an annual salary of $32,900

Each year you are assured of a 5.5%. If you get the same amount each year, that is a 100% payment. It is neither reducing nor increasing. But with an increase of 5.5% each year, it means you are getting (100+5.5)% each year. This equals 105.5%. So for each year, you get 105.5% of the previous year.

This is a geometric progression. To determine the total amount that you can earn in 15 years, we will find the sum of 15 terms, S15 of the series. The formula for sum of the nth term of a geometric progression is expressed as

Sn = [a(r^n - 1)] / r - 1

Where

Sn = sum of the nth terms of the series

a = the first term(salary of the first year

r = common ratio

n = number of years.

From the question,

a = 32900

n = 15

r = 105.5/100 = 1.055

S15 = [32900(1.055^15 - 1)] / 1.055 - 1

S15 = [32900(2.23247649224 - 1)] / 0.055

S15 = [32900 × 1.23247649224] / 0.055

S15 = $737245

7 0
3 years ago
Solve for [x]. The pair of polygons are similar. The scale factor from A to B is 9:10​
brilliants [131]

Answer:

9

Step-by-step explanation:

if scale factor is 3/5, then

(x+12):35=3:5, ⇒

6 0
3 years ago
What is the ratio 1.12 turned in to a fraction in simplest form?
Nitella [24]
x=1.121212...\ \ \ \ \ |multiply\ both\ sides\ by\ 100\\\\100x=112.121212...\\\\100x-x=112.121212...-1.121212...\\\\99x=111\ \ \ \ |divide\ both\ sides\ by\ 99\\\\x=\dfrac{111:3}{99:3}\\\\x=\dfrac{37}{33}\\\\x=1\dfrac{4}{33}\\\\Answer:\boxed{1.121212...=1\frac{4}{33}}
5 0
3 years ago
A triangle has two sides measuring 16 and 21. The included angle is 116°. What is the length of the side opposite the 116° angle
aleksley [76]

Answer: A. 31.5

Step-by-step explanation:

Using law of cosine because it is side angle side

a=16

b=21

angle = 116

c^2=a^2+b^2-2ab cosC, let C be the angle given

c^2=(21)^2+(16)^2-2(16)(21) cos(116)

c^2=441+256-672 cos(116)

i used a ti-89 and answered the right side and got

(you can find a ti-89 simulator online, but for problems like this make sure it is in degree mode)

991.585

c^2=991.585

take square root of both sides

=31.4894, which if you round it up it would be 31.5, so the answer would be A

therefore:

a=16

b=21

c=31.5

4 0
3 years ago
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