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sveticcg [70]
2 years ago
12

Question in image, it asks to show your work

Mathematics
1 answer:
maxonik [38]2 years ago
8 0

<u>Answer:</u>

• f(g(x)) =  \sqrt{x^{2} + 1}  + 8

• g(f(x)) = 16\sqrt{x} + x + 65

<u>Step-by-step explanation:</u>

• f(g(x)) = f(x² + 1)

         = \sqrt{x^{2} + 1}  + 8

• g(f(x)) = g(\sqrt{x + 8} )

            = (\sqrt{x }  + 8)^{2} + 1

            =  x + 16\sqrt{x} + 64 + 1

            = 16\sqrt{x} + x + 65

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Which of the following is a solution to 2cos x + 1 = 0?
nlexa [21]
The answer is b
2cos x + 1 = 0
2 cos x = -1
cos x = -1/2
x = cos^1(-1/2)
(cos inverse (-1/2))
x = 120°
3 0
3 years ago
Help on this one please
kvv77 [185]

Answer:

d ≈ 1732 ft

Step-by-step explanation:

Angle of elevation = Angle of depression

Following this truth,

m∠PAQ (Angle of depression) = m∠APB (Angle of elevation) = 30°

By applying tangent rule in the given triangle ABP,

tan(30°) = \frac{AB}{PB}

\frac{1}{\sqrt{3}}=\frac{1000}{d}

d = 1000√3

d = 1732.05

d ≈ 1732 ft

6 0
3 years ago
Find the value of each variable in the parallelogram
melomori [17]

Alright.

For 7, you'll want to put congruent sides equal to each other, assuming they are parallelograms. So, you'll get the two equations:

3x+2=23

2y-7=9

Solve using GEMDAS/PEMDAS, and you'll get these answers.

3x+2=23

3x=21

x=7

2y-7=9

2y=2

y=1

For 8, you'll want to do the exact same thing, formatting the numbers to equal each other. You'll get these two equations:

3y+5=14

2x-5=17

Solving them would make:

3y+5=14

3y=9

y=3

2x-5=17

2x=22

x=11

For 9, you have to remember that the angle opposite of one angle in a defined parallelogram are congruent. Thus:

130=2h

5k=50

solve them and you get

h=65

k=10

___________________________________________

Hope that helped. Good luck.

5 0
3 years ago
Read 2 more answers
A man buys a jacket birr 300 before VAT what is the VAT and the total cost?​
Novosadov [1.4K]
  • Base price=300
  • Let VAT be x%

Now

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Total cost:-

  • 300+300(0.x)
7 0
2 years ago
Mr.Johnson is planning what to wear tomorrow. He has a white shirt, a plaid shirt, and a blue shirt. He has four pairs of pants
const2013 [10]

Answer:

Mr. Johnson has 12 possibilities.

Step-by-step explanation:

The information provided are:

  • Mr. Johnson has a white shirt, a plaid shirt, and a blue shirt.
  • Mr. Johnson  has four pairs of pants, black, brown, gray, and white.
  • He chooses one shirt and one pair of pants.

Compute the number of ways to select a shirt and a pair of pants as follows:

Total number of ways = Number of Shirts × Number of pair of pants

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Thus, Mr. Johnson has 12 possibilities.

8 0
3 years ago
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