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2 years ago

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

Total VAT=0.x(300)

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

$=3\times 4\\\\=12$

Thus, Mr. Johnson has 12 possibilities.

8 0

3 years ago