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jeka94
3 years ago
7

(Fog)(x) where f(x)=1/x^2+3 and g(x)= square root x-2

Mathematics
1 answer:
Sati [7]3 years ago
5 0

Answer:

(fog)(x) = 1/(x-2) + 3

Step-by-step explanation:

f(x) = 1/x² +3        g(x) = √(x-2)

(fog)(x) = f(g(x)) = f( √(x-2)) = 1/(√(x-2))² +3

(fog)(x) = 1/(x-2) + 3

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Directions: Find the indicated trigonometric ratio as a fraction in simplest form. 1. Sin L =
Rainbow [258]

Answer:

\sin L = 0.60

tan\ N = 1.33

\cos L = 0.80

\sin N = 0.80

Step-by-step explanation:

Given

See attachment

From the attachment, we have:

MN = 6

LN = 10

First, we need to calculate length LM,

Using Pythagoras theorem:

LN^2 = MN^2 + LM^2

10^2 = 6^2 + LM^2

100 = 36 + LM^2

Collect Like Terms

LM^2 = 100 - 36

LM^2 = 64

LM = 8

Solving (a): \sin L

\sin L = \frac{Opposite}{Hypotenuse}

\sin L = \frac{MN}{LN}

Substitute values for MN and LN

\sin L = \frac{6}{10}

\sin L = 0.60

Solving (b): tan\ N

tan\ N = \frac{Opposite}{Adjacent}

tan\ N = \frac{LM}{MN}

Substitute values for LM and MN

tan\ N = \frac{8}{6}

tan\ N = 1.33

Solving (c): \cos L

\cos L = \frac{Adjacent}{Hypotenuse}

\cos L = \frac{LM}{LN}

Substitute values for LN and LM

\cos L = \frac{8}{10}

\cos L = 0.80

Solving (d): \sin N

\sin N = \frac{Opposite}{Hypotenuse}

\sin N = \frac{LM}{LN}

Substitute values for LM and LN

\sin N = \frac{8}{10}

\sin N = 0.80

7 0
3 years ago
Relationship B has a greater rate than Relationship A. This graph represents Relationship A.
tester [92]

Answer:

Rate in relationship A = (6 - 3)/(8 - 4) = 3/4 = 0.75

For Table A: Rate = (3 - 1.2)/(5 - 2) = 1.8/3 = 0.6

For table B: Rate = (3.5 - 1.4)/(5 - 2) = 2.1/3 = 0.7

For table C: Rate = (4 - 1.6)/(5 - 2) = 2.4/3 = 0.8

For table D: Rate = (2 - 1.5)/(4 - 3) = 0.5/1 = 0.5

Therefore, the correct answer is option C.

4 0
3 years ago
what is the equation to seven less than the product of twice a number is greater than 5 more than the same number
postnew [5]
<span>seven less than (-7) than the product of twice a number (2x) is greater than (>) five more than (+5) the same number (x)

2x-7>x+5
treat the > sign as an equals for now
2x-7=x+5
subtract x from both sides
x-7=5
add 7 to both sides
x=12
put the > sign back in
x>12</span>
7 0
4 years ago
Read 2 more answers
\sqrt[3]{1728} please help me with this
finlep [7]
Prime factorization of 1728 is 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3
Simplifying the above expression: 26 × 33
Simplifying further: 123
Therefore, the cube root of 1728 by prime factorization is (2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3)1/3 = 12
8 0
2 years ago
A clipboard cost $2.23.It cost $0.58 more than a notebook.Lisa bought two clipboards and one notebook.She paid with a ten dollar
Katen [24]
First you'd subtract .58 from 2.23 to get the price of the notebook.

2.23 - .58 = 1.65

(2.23×2)+1.65= 6.11

Now subtract 6.11 from ten to figure out the change amount.

10 - 6.11 = 3.89
6 0
3 years ago
Read 3 more answers
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