Please help I don’t understand this

Answers

Answer 1

Answer:

d. √(1/(x+1))

Step-by-step explanation:

Just as operations can be performed on numbers and variables, so can operations be performed on functions. Here, you're asked to simplify the ratio of two functions.

[tex]\displaystyle\left(\frac{g}{f}\right)(x)=\frac{g(x)}{f(x)}=\frac{\sqrt{x-1}}{\sqrt{x^2-1}}=\sqrt{\frac{x-1}{x^2-1}}[/tex]

At this point, you're supposed to know the factoring of the difference of squares:

[tex]\displaystyle=\sqrt{\frac{x-1}{(x-1)(x+1)}}=\boxed{\sqrt{\frac{1}{x+1}}}[/tex]

Related Questions

can someone help me for this?

Answers

Answer:

500000N=2m

x. =6m

cross multiply, it'll be

6×50000÷2

=150,000N

Let f be a differentiable function. If h (x) = (2+ f (sin x))", which of the following gives a correct process for finding h' (x) ?

Answers

Answer:

[tex]\displaystyle h'(x) = \cos (x) f'(\sin x)[2 + f(\sin x)]'''[/tex]

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]

Derivative Rule [Basic Power Rule]:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify.

[tex]\displaystyle h(x) = [2 + f(\sin x)]''[/tex]

Step 2: Differentiate

Derivative Rule [Chain Rule]: [tex]\displaystyle h'(x) = [2 + f(\sin x)]''' [2 + f(\sin x)]'[/tex]Rewrite [Derivative Property - Addition/Subtraction]: [tex]\displaystyle h'(x) = [2 + f(\sin x)]''' \bigg[(2)' + [f(\sin x)]' \bigg][/tex]Derivative Rule [Basic Power Rule]: [tex]\displaystyle h'(x) = [2 + f(\sin x)]''' [f(\sin x)]'[/tex]Derivative Rule [Chain Rule]: [tex]\displaystyle h'(x) = [2 + f(\sin x)]''' f'(\sin x)(\sin x)'[/tex]Trigonometric Differentiation: [tex]\displaystyle h'(x) = \cos (x) f'(\sin x)[2 + f(\sin x)]'''[/tex]

From here, if you would like, you can take the 3rd derivative of the last piece.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

See the picture first, thank you.

QUESTIONS::

1. Does each graph represent a linear function? Why?

2. What is the domain of the first graph? second graph?

3. What is the range of the first graph? second graph?

Answers

Answer:

1. yes, both lines are straight

2. domain: (-∞ ∞)

3. range: (-∞ ∞)

does 12 11 and 7 make a right triangle

Answers

Answer: no

Step-by-step explanation: hope it helps

answer this pleaseeeee

Answers

Answer:

Each goat gets 3 carrots and there are 4 extra carrots left

Step-by-step explanation:

5*3=15

OR: If you wanted to do it exact you give each goat 3 carrot's and an 1/8th of one and you'd have no extra carrots left.

5*3.8=19

Answer:

the answer is simple 3 remainder of 4

Step-by-step explanation:

so he had 5 goats and 19 carrots

19/5=3.8 which mean 3 and 4 left

This is a 45-45-90 triangle.
What is the measure of x?
Х
14
Х
x = [?]V

Answers

Answer:

x = 14[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Since the triangle is 45- 45- 90 then it is isosceles with the 2 legs being congruent, both 14

Using Pythagoras' identity in the right triangle

x² = 14² + 14² = 196 + 196 = 392 ( take square root of both sides )

x = [tex]\sqrt{392}[/tex] = [tex]\sqrt{196(2)}[/tex] = [tex]\sqrt{196}[/tex] × [tex]\sqrt{2}[/tex] = 14[tex]\sqrt{2}[/tex]

а 5. Protein Bar A has 15 grams of protein in
a 40 gram bar. Protein Bar B has 20 grams of protein in a 60 gram bar. Which bar has more protein per gram?

Answers

The answer is Protein Bar A

Each time Bobby rides the JUTC bus, money will be deducted from the value of his card. He rode the bus 5 times and his card was charged $100. What integer best represents the the amount by which the balance of the card changed each time it was used?

Possible Answers

A. -$500
B. $20
C. -$20
D. $500

Answers

Answer:

Step-by-step explanation:

100/5= 20

he was charhed 20

Find the value of x

3x = 9²

Answers

[tex]\huge\boxed{Hi\:there!}[/tex]

[tex]\huge\sf{3x=9^2}[/tex]

[tex]\huge\sf{3x=81}[/tex]

[tex]\huge\sf{Divide\:both\:sides\:by\:3\:to\:isolate\:x:}[/tex]

[tex]\huge\sf{x=27}[/tex]

[tex]\huge\boxed{Hence,\:x=27.}[/tex]

[tex]\huge\sf\underline{Hope\:it\:helps}[/tex]

[tex]\boxed{CheerfulGirlie\:here\:to\:help}[/tex]

Question:-

Find the value of x

3x = 9²

Answer:-

x = 27

Explanation:-

=> 3x = 9²

=> 3x = 81 [9² = 9×9 = 81]

=> x = 81/3

=> x = 27

what is the probability

Answers

Answer:

1/4

Step-by-step explanation:

the probability on getting blue on spinner is 1/2

1/2 x 1/2 =1/4

24 feet/second to inches/minute

Answers

Answer:

4.8 inches a minute is probably the answer

Answer:

4.8 inches a minute

Step-by-step explanation:

write the equation of a line that passes through the points (-7,-4) and (-5,-6)

Answers

Answer:

y=-x-11

Step-by-step explanation:

find an ordered pair that represents the vector from (-3.7, 2) to (-4, -5)

Answers

Answer is (-0.3 ,7) I am sure this answer

Please help, I dont know how to get the other angle measurement.

Answers

Answer:

Angle E is 88º

Step-by-step explanation:

If angle A is 46, then angle B is 46. Angle C in triangle ABC then has to be 88. Because of this, angle C in triangle CDE has to be 88 as well. Hence, E is 88.

if a customer spent $60, how many people did they buy food and beverages for?

Answers

They could have spent $10 on each person of a group of 6

The area of a rhombus is 40 sq cm and one of its diagonals is 8 cm long. Find the length of the other diagonal.

Answers

Answer: The length of the other diagonal is 10 cm...

So the diagonal formula is - 1/2* (d1*d2) d1 is the first diagonal and d2 is the second diagonal.

So,

1/2 * (8*d2) = 40

8d2= 40*2

d2= 80/8

d2= 10

I have no idea how to do this. Please help.

Answers

Answer:

Area is 5 cm and perimeter is 12 cm

Step-by-step explanation:

Area: top left sqare:

1cm * 1cm = 1 cm

bottom rectangle:

1cm * 3 cm = 3 cm

top right square:

1cm * 1cm = 1 cm

Perimeter:

1 cm + 2 cm+ 3 cm+ 2 cm+ 1 cm + 1 cm + 1cm + 1cm = 12 cm

What is the simplified form of the following expression? 5 StartRoot 8 EndRoot minus StartRoot 18 EndRoot minus 2 StartRoot 2 EndRoot 2 StartRoot 2 EndRoot 5 StartRoot 2 EndRoot 9 StartRoot 2 EndRoot 15 StartRoot 2 EndRoot.

Answers

The simplified form of the given expression is [tex]5\sqrt{2}[/tex].

Given expression,

[tex]5\sqrt{8} - \sqrt{18} - 2 \sqrt{2}[/tex].

We have to simplify the above expression.

So, [tex]5\sqrt{8} - \sqrt{18} - 2 \sqrt{2}\\[/tex]

First solve for the square root,

[tex]5\sqrt{2\times2\times2} -\sqrt{3\times3\times2} -2\sqrt{2} \\\\10\sqrt{2} -3\sqrt{2}-2\sqrt{2} \\[/tex]

[tex]7\sqrt{2} -2\sqrt{2}[/tex]

[tex]5\sqrt{2}[/tex]

Hence the simplified form of the given expression is [tex]5\sqrt{2}[/tex].

For more details follow the link:

https://brainly.com/question/2719671

Two airplanes leave an airport at the same time and travel in opposite directions. One plane travels 68 km/h faster than the other. If the two planes are 5052 kilometers apart after 3 hours, what is the rate of each plane?

Answers

Step-by-step explanation:

the slower plane travels x km in 3 hours.

the faster plane travels x + 3×68 = x + 204 km in 3 hours.

x + x + 204 = 5052 km

2x = 4848 km

x = 2424 km (in 3 hours).

so, the slower plane's speed is 808 km/h.

the faster plane's speed is 808 + 68 = 876 km/h.

Simplify this question

Answers

[tex]\\ \sf\longmapsto √64+√-81-i^2[/tex]

[tex]\\ \sf\longmapsto 8+√81i-(-1)[/tex]

[tex]\\ \sf\longmapsto 8+9i+1[/tex]

[tex]\\ \sf\longmapsto 9i+9[/tex]

PLEASE PLEASE HELP IM TIMED!! Just look at the picture

Answers

The first one A 7/2
You can just round up 6.75 -> 7 and 1.67->2

the answer is the first one :) 7/2

Can you help this is a lot. I don't really get it

Answers

Answer:

country is 15 30 45 60 75 90 105 120 135 150 pop is 5.75 11.5 17.25 23 28.75 34.5 40.25 46 51.75 57.5

why you take my profile picture hello.....

PLS HELP WILL MARK YOU BRAINLIEST!!
No fake answers pls

Answers

Answer:

See below

Step-by-step explanation:

x + 5 = 12, subtract 5 from both sides

x = 7

Subtraction property of equality

a = ba - c = b - c

x + y = 20 and y = 5, substitute 5 into first equation

x + 5 = 20

Substitution property of equality

a + b = c and b = da + d = c

2x - 3 = 11, interchange the sides of equality

11 = 2x - 3

Symmetric property of equality

a = bb = a

Answer:

1. if x + 5 = 12, then x = 7

:Subtraction property of equality

2. If x + y = 20, and y = 5, then x + 5 = 20.

:Substitution property of equality

3. If 2x3 = 11, then 11 = 2x - 3.

:Symmetric property of equality

Can you calculate problems involving percent? pls help i WILL make as brainlyst pls i dont wanna fail

Answers

Calculating percent in easy, if you turn in into fractions like 20% is 20/100 or 2/10 if you look at it that way it should help you understand it

Answer:

45 is 150% of 30.

Step-by-step explanation:

To find what percent of 30 is 45 first we must turn it into a fraction and simplify.

fraction form: 45/30

simplified fraction form: 3/2

now to find percent you have to put a number over one hundred.

3/2 = ?/100

Right now our denominator is 2. By what number can we multiply 2 to get to 100? The answer is 50.

Now that we have multiplied the denominator by 50, we also have to multiply the numerator (3) by fifty. 3 x 50 = 150

so now we put the new numerator and denominator together and get 150/100

The answer is 150%

Simplify the variable expression below as much as possible.
X + 8 .z
Answer here

Answers

Answer:

It will stay at x + 8

Step-by-step explanation:

1. The teacher assigns homework after 7/10
of the lessons
A) unlikely
B) likely
C) certain
D) equally likely

Answers

Answer:

B) Likely

Step-by-step explanation:

Unlikely = < 50%

Likely = > 50%

Certain = 100%

Equally likely = 50%

To make a sports drink, Tommy puts 2 liters of water in a pitcher along with 4 ounces of sports drink additive. How much liquid is now in the pitcher, in ounces?

1 liters = 33.81 ounces

Answers

Answer:

71.62

Step-by-step explanation:

2 liters = 2(33.81) ounces or 67.62 oz

4 more ounces were added

new total is 71.62 oz

Select the point - slope form of the line

Select one:

a.
y − y1 = m ( x − x1 )

b.
ax + by + c = 0

c.
x / a + y / b = 1

d.
y = mx + b

Answers

Answer:

y − y1 = m ( x − x1 )

Step-by-step explanation:

Point slope form would include a slope 'm' and a point (x1, y1).

The first option is the general formula for point-slope form.

B is standard form for a straight line (it can also be Ax + By = C)

C is intercept form.

D is slope-intercept form.

Hope this helps.

Determine if 0.929229222922229222229... is rational or irrational and give a
reason for your answer.

Answers

An irrational number is a number which cannot be written in the form p/q where p and q are both integers and q is not equal to zero. Here, the above number cannot be written in the form p/q.Secondly, irrational numbers are non-terminating and non-recurring numbers.The above number is an example of non-terminating and non-recurring number.So, it is irrational.

Answer:

It is irrational.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Simplify using combining like terms: 3a + 6 + 2a - 8

Answers

Answer:

a = 2

Step-by-step explanation:

Simplifying

3a + 6 = 2a + 8

Reorder the terms:

6 + 3a = 2a + 8

Reorder the terms:

6 + 3a = 8 + 2a

Solving

6 + 3a = 8 + 2a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-2a' to each side of the equation.

6 + 3a + -2a = 8 + 2a + -2a

Combine like terms: 3a + -2a = 1a

6 + 1a = 8 + 2a + -2a

Combine like terms: 2a + -2a = 0

6 + 1a = 8 + 0

6 + 1a = 8

Add '-6' to each side of the equation.

6 + -6 + 1a = 8 + -6

Combine like terms: 6 + -6 = 0

0 + 1a = 8 + -6

1a = 8 + -6

Combine like terms: 8 + -6 = 2

1a = 2

Divide each side by '1'.

a = 2

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