Type the correct answer in the box. Find f(g(x)) for the functions f(x)=5 √x+1 -2 and g(x)= x^2 -1 . f(g(x)) = _____ are these functions inverses? _

Answer:

m∠1 = 63°

m∠2 = 49°

m∠3 = 87°

m∠4 = 44°

Step-by-step explanation:

From the given figure

∵ ∠2 and 49° are vertically opposite angles

∵ The vertical opposite angles are equal in measures

∴ m∠2 = 49°

∵ The sum of the interior angles of a Δ is 180°

∵ m∠1, m∠2, and 68° are interior angles of a Δ

∴ m∠1 + m∠2 + 68° = 180°

∵ m∠2 = 49°

∴ m∠1 + 49° + 68° = 180°

→ Add the like terms in the left side

∴ m∠1 + 117 = 180

→ Subtract 180 from both sides

∴ m∠1 = 63°

∵ ∠3 and 93° formed a pair of linear angles

∵ The sum of the measures of the linear angles is 180°

∴ m∠3 + 93° = 180°

→ Subtract 93 from both sides

∴ m∠3 = 87°

∵ 93° is an exterior angle of the triangle

∵ The measure of the exterior angle of a Δ at one vertex equals the sum

   of the measures of the opposite interior angles to this vertex

∵ ∠4 and 49° are the opposite interior angles to 93°

∴ 49° + m∠4 = 93°

→ Subtract 49 from both sides

∴ m∠4 = 44°

Answer: y=13, A. f(x)=13

Step-by-step explanation:

Answer:

y=13, A. f(x)=13

Step-by-step explanation:

Answer: 15

Step-by-step explanation: 5/6 times 18 = 15 hours

Answer:

±2√21.

Step-by-step explanation:

First, you break 84 down into √4⋅√21.

That is equal to ±2√21.

Hope I helped! Please mark Brainliest!

Answer:  2√21

The answer is 2 radical 21

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

When we look at sequences, we have the function and we have the sequence, the sequence is f(x)... f(n)... or just f with any variable within a parenthesis right next to it.

What the variable signifies is the value that we will be replaced within the sequence, which is 2n in this case. So by your question, it we are looking for the fourth term, that means f(4) = 2n.  Since n is replaced with 4, we do the same with the sequence.

2(4)

Multiply

8

Answer:

t=2

Step-by-step explanation:

3t-6=t-2(Group like terms)

3t-t=-2+6

2t=4(Divide both sides by 4)

t=2( This is because when you divide both sides by 2, 2 can divide 4 2 times so that's why we have t as equal to 2)

Answer:  11:55 I hope this helps Have a nice day

Step-by-step explanation:

Answer:

3x + 17 < 47 solving for x = x<10

43<8x-9 solving for x = x = 13/2

Answer:

The jar problem

Step-by-step explanation:

Joaana saves nickels and quarter in a jar

She looked to see if she had enough coins to fix her car

She didn't so she went on the side of the street to play her guitar

She played for money by a food bar

She worried she wouldn't make a lot

So she bet illegally on some chickens that fought

She was scared the cops would come and she would get caught

The saw the cops coming and her eyes lit up like a match

She grabbed $500 and she was one they wouldn't catch

It turns out she only needed $10 to fix a tiny scratch

She only had $5 is coins in her jar

Now she has $500 and can fix her car

Hope this helps ya! Keep smiling!

Answer:

(-1,3)

Step-by-step explanation:

for the x coordinate all you do is -5 + 4 because you are moving right, and moving right is positive, so if you are moving to the positive direction you add

for the y coordinate you have to do 5 - 2 because you are going left, and left is negitave, so you subtract

Answer:

Each friend would get 3 slices and there would be 2 slices left over.

Answer:

4 rides

Step-by-step explanation:

36.75-10.5= 26.25    cost of admission

26.25 divded by 5.5= 4.7777777

so 4 rides with left over change

Answer:he can buy 4 tickets

Answer:

4/25

Step-by-step explanation:

It is a fraction with 4 in the numerator and 25 in the denominator.

4

__

25

Answer:

I think i would be c or a but im not sure

step-by-step explanation:

For the given parallelogram, the measure of angle B is 65° and the measure of angle D is 65°. The answer is the third option.

There are different types of quadrilaterals, for example: square, rectangle, rhombus, trapezoid and parallelogram.  Each type is defined accordingly to its length of sides and angles. For example, for a parallelogram, its the opposite sides are equal and parallel. For a parallelogram is noted too that the opposite angles are equal.

The question gives the values of the angle B and D in function of n.

Therefore, considering that the opposite angles of the  parallelogram (ABCD)  are equal, so D=B.  Thus,

6n-25=3n+20

6n-3n=20+25

3n=45

n=15°

Replacing the value of n in each angle (B and D). Then,

D=6n-25= 6*15-25= 90-25= 65°

B=3n+20= 3*15+20= 45+20 = 65°

Read more about the parallelogram here:

brainly.com/question/20526916

#SPJ1

Answer:

.68.0314 m/s

.42.272752125mph

68.0314km/h

Step-by-step explanation:

Answer:

3.3 mph

4.84 ft/s

Step-by-step explanation:

Convert 1 mile into feet and 18 minutes into seconds. You should get 4.84 then convert 4.84 ft/s into mph.

Answer:

A bank teller has 47 $20 and $5 bills.

The value of the bills is $490.

Number of $20 bills --> x

Number of $5 bills --> y

x + y = 47 --> x = 47-y

20x + 5y = 490 --> 20x = 490-5y

so

20(47-y) = 490 -5y

940-20y = 490-5y

940-490 = -5y+20y

15y = 450

y= 30

so

x = 47-30

x = 17

IN TOTAL --> 17 $20 bills and 30 $5 bills.

Answer:

x = 17 $20 bills

y = 30 $5 bills

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define variables

x = # of $20 bills

y = # of $5 bills

Step 2: Set up systems of equations

[tex]\left \{ {{x+y=47} \atop {20x+5y=490}} \right.[/tex]

Step 3: Solve for x

By solving for x, we now know that we have 17 $20 bills.

Step 4: Solve for y

Now we know that we have 30 $5 bills.

Answer:

D. The quotient of a difference and a number

Step-by-step explanation:

its the only one that makes sense since you are getting the quotient and the sum in the equation. hope this helped!:)

Answer:

C!!!!

Step-by-step explanation:

Answer:

0.60

Step-by-step explanation:

In the category of pets

22 students had a cat = P(C)

17 students had a dog = P(D)

9 students had both a dog and a cat = P(C and D)

The formula to find the Probability of two events =

P(C or D) = P(C) + P(D) - P(C and D)

P(cat or dog) = P(cat) + P( dog) - P(cat and dog)

P(cat or dog) = 22/50 + 17/50 - 9/50

P(cat or dog) = 0.44 + 0.34 - 0.18

P(cat or dog) = 0.60

The probability the student will have a dog or a cat is 0.60

Step-by-step explanation:

coefficient=w

variable=w

result=

32=w-4

w=4+32

w=36

constant=32,4

Answer:

have one what ?

Step-by-step explanation:

also thats cute. when i was in sixth grade, i was homeschooled.

Answer

Ok good luck in school!

Answer:

The bread will be done baking at 12:15

Step-by-step explanation:

11:45+30=12:15

Answer:

12:15 pm

Step-by-step explanation:

30 minutes is two sets of 15 minutes

15+45=60

Therefore, 12:00pm is 15 minutes of back time

Add the second set of 15 minutes and you get 12:15 pm

Answer:

B

Step-by-step explanation:

f^-1(x)=3x/7-9/7

Answer:

The order of finishing is important here, therefore you use permutations rather than combinations.  Athlete A winning a gold medal, athlete B silver, and athlete C bronze is not the same as athlete A bronze, athlete B silver and athlete C gold for instance

69P3 = 69! / (69 -3!)

Step-by-step explanation:

Answer:

I think it is 200

but I am not very sure