Number two please! Simplify. Also please explain.

Answer:

B: Every input value corresponds to only one output value.

as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.

[tex]\stackrel{h(x)}{y}~~ = ~~6\sqrt[3]{2x+5}-1\implies \stackrel{\textit{quick switcheroo}}{x~~ = ~~6\sqrt[3]{2y+5}-1} \\\\\\ x+1=6\sqrt[3]{2y+5}\implies \cfrac{x+1}{6}=\sqrt[3]{2y+5}\implies \left( \cfrac{x+1}{6} \right)^3=\left( \sqrt[3]{2y+5} \right)^3[/tex]

[tex]\left( \cfrac{x+1}{6} \right)^3=2y+5\implies \left( \cfrac{x+1}{6} \right)^3-5=2y\implies \cfrac{\left( \frac{x+1}{6} \right)^3-5}{2}=y \\\\\\ \cfrac{\left( \frac{x+1}{6} \right)^3}{2}-\cfrac{5}{2}=y\implies \cfrac{~~ \frac{(x+1)^3}{6^3}~~}{2}-\cfrac{5}{2}=y\implies \cfrac{(x+1)^3}{432}-\cfrac{5}{2}=\stackrel{y}{h^{-1}(x)}[/tex]

Answer:

B. rotation

Step-by-step explanation:

A reflection would mean that the shape would be mirrored across the y-axis or the x-axis. A translation means that nothing about the shape changes except for the location. A dilation (not an answer option but still helpful to know) is the change in size of the shape. And finally, the correct answer for this problem, a rotation means that the shape is rotated at a specific point.

I included a picture that uses a shape to help explain this idea. I hope this helps! Have a lovely day!! :)

Step-by-step explanation:

108 x 9 = 972

so it's 972 dollars

Answer:

✏If the rod is held straight then the angle alpha equals 90°,therefore the required solution is 45°

Step-by-step explanation:

Answer:

Step-by-step explanation: What grade math homework is this?

Answer:

V = 1207

Step-by-step explanation:

Answer:

I believe its D

If correct please give brainliest

Step-by-step explanation:

Answer:

C)

Step-by-step explanation:

The first inequality, y ≥ 2x + 1 has no solution below the function since it is  greater than OR EQUAL to it. Similarly, the second inequality, y > 1/2x - 1 has no solution at or below the function since it is only GREATER THAN this value.

If we look at the graph of these inequalities, we see that they don't overlap at all in quadrant IV. For that reason, this area of the graph there will have no solution, or empty set.

Hope this helps and God bless!

Answer:

look below

Step-by-step explanation:

Slope =  materials cost per student

Y—intercept = cost of renting the classroom

Answer:        

Step-by-step explanation:

3x^4+6x^3-x^2+1...............

The product  (y−4x)(y^2 + 4y + 16) results in a polynomial of the form y3 4y2 ay−4xy2−axy−64x then the value of a is 16.

The distributive property states that an expression of the form A(B + C) can be solved by a multiplication over addition operation that is

A(B + C) = AB + AC

This property is known by distributive law and applies to subtraction also.

First let w = y-4x make distribution a bit easier

(y−4x)(y^2 + 4y + 16)

[tex]w(y^2 + 4y + 16)\\wy^2 + w4y + w16\\[/tex]

now put the values of w in the equation

[tex](y-4x)y^2 + (y-4x)4y + (y-4x)16\\y^3-4xy^2 + 4y^2-16xy+16y-64x\\[/tex]

Here the value of a is 16.

Learn more about the distributive property:

https://brainly.com/question/26207297

Answer:

16

Step-by-step explanation:

Answer:

  3334 N·m

Step-by-step explanation:

Work is the product of force and distance. The force used in the product is the force that is in the direction of motion.

__

The horizontal component of the applied force is ...

  F = (35 N)cos(30°) ≈ 30.311 N

Then the work done is ...

  W = Fd

  W = (30.311 N)(110 m) = 3334 N·m

Answer:

The same

Step-by-step explanation:

length does not mean anything in terms of diameter

Answer:75% percent chance of picking a card greater than 1 and a 50% chance of picking a card greater than 2

Step-by-step explanation:

please pick me as brainliest

Answer:

28.27 inches

Step-by-step explanation:

hope this helps :)

Answer:

3b

Step-by-step explanation:

unless b stands for something it should be just that

Answer:

81

Step-by-step explanation:

f ( x ) = ( x - 3 )² + 17

To find : f ( - 5 )

f ( - 5 ) = f ( x )

Here,

x = - 5

f ( - 5 ) = ( - 5 - 3 )² + 17

          = ( - 8 )² + 17

          = 64 + 17

f ( - 5 ) = 81

Answer:

Friday: 18 tickets  Saturday:24 tickets  Sunday: 2 tickets

Step-by-step explanation:

120-102=18 tickets

120-96=24 tickets

120-118=2 tickets

TYSM I REALLY NEEDED IT TY!!

it helped me

Answer:

The green box

Step-by-step explanation:

1.26 > 1.026

This is because the tenths value of 1.26 is greater than the tenths value of 1.026.

Answer:

The green box would be your answer.

Step-by-step explanation:

When you look at the decimals place, the Red boxes decimal place has a 0 infront of the 26 making it a smaller decimal.

Answer:

not answered this question

Answer:

8 :)

Step-by-step explanation:

Side 1: 15

Side 2: 14

Side 3: 7 + x

Side 1 and 3 are the same length so we subtract :D

15 - 7 = 8

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

22/29

Step-by-step explanation:

First, add up all of the numbers given:

16 + 4 + 6 + 3 = 29

Now since there are 16 students who have a dog and a cat, and 6 who only have a dog, we add those numbers:

16 + 6 = 22

Now since there are 29 total numbers, that will be the number of outcomes out of the 22 people with dogs:

22/29

The spinner illustrates probability, and it is expected that a vowel will be spun approximately 10 times

In the spinner, we have:

Sections = 6

Vowels = 2 i.e. A and E

The expected number of vowels in 30 spins is:

Expected = Vowels/Sections * 30

This gives

Expected = 2/6* 30

Evaluate the product

Expected = 10

Hence, it is expected that a vowel will be spun approximately 10 times

Read more about expected values at:

https://brainly.com/question/15858152

Answer:

the answer is 10

Step-by-step explanation:

Step-by-step explanation:

The probability of landing on the color gray ONCE

= 2/7

Since it is spun 35 times, the expected number of times that it lands on a gray will be

(2/7 × 35) = 10 times

The probability of landing on the color black ONCE

= 1/7

Since it is spun 105 times, the expected number of times that it lands on a black will be

(⅐ × 105) = 15 times

The formula is:

Expected value = (Number of spinning)×(probability of landing on a colour)

Answer:

113°

Step-by-step explanation:

1) according to the condition m(∠B)=m(∠D)=67°;

2) m(∠C)=180°-m(∠B)=180°-m(∠D);

m(∠C)=180-67=113°.

Answer:

For 8, the answer is

i) (pi/3) + 2*(pi)*k, k is any integer

ii) -(pi/3) + 2*(pi)*k

Answer:

c. 18[tex]\pi[/tex] cubic inches

Step-by-step explanation:

half sphere's volume:

[tex]V=\frac{2}{3} \pi r^{3}[/tex]  r = 6/2 = 3 inches

[tex]V=\frac{2}{3} \pi (3)^{3} =\frac{2}{3}( 27\pi )=\frac{54}{3} \pi =18\pi[/tex]

Hope this helps

Answer:

y = - 2x + 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 2 , then

y = - 2x + c ← is the partial equation

to find c substitute (7, - 9 ) into the partial equation

- 9 = - 14 + c ⇒ c = - 9 + 14 = 5

y = - 2x + 5 ← equation of line