10 POINTS!!!

-12m = 16

explain your thinking

Given:

The function is [tex]f(x)=3(x+7)^{\frac{1}{4}}[/tex].

To find:

The function [tex]f^{-1}(x)[/tex].

Solution:

We have,

[tex]f(x)=3(x+7)^{\frac{1}{4}}[/tex]

Substitute f(x)=y.

[tex]y=3(x+7)^{\frac{1}{4}}[/tex]

Interchange x and y.

[tex]x=3(y+7)^{\frac{1}{4}}[/tex]

Divide both sides by 3.

[tex]\dfrac{x}{3}=(y+7)^{\frac{1}{4}}[/tex]

Taking power 4 on both sides.

[tex]\left(\dfrac{x}{3}\right)^4=y+7[/tex]

Subtract 7 from both sides.

[tex]\left(\dfrac{x}{3}\right)^4-7=y[/tex]

[tex]y=\left(\dfrac{x}{3}\right)^4-7[/tex]

Substitute [tex]y=f^{-1}(x)[/tex].

[tex]f^{-1}(x)=\left(\dfrac{x}{3}\right)^4-7[/tex]

Therefore, the correct option is C.

Answer:

1 1/9

Step-by-step explanation:

I did 6/9 plus 4/9 = 10/9 so you divide 10 by 9 and it will give you 1 and 1/9 hope this is right and helpful

Answer:

True

Step-by-step explanation:

Plug in the point:

-2-(-1)=-2+1=-1<0.

This is a true statement

Answer:

True isjeididnciensucnfnduf

Answer:

False

Step-by-step explanation:

Answer:

hgfgdfsdfdgfhkjlkjhgfrderftryu

Step-by-step explanation:

Answer:

26/35

Step-by-step explanation:

6/35+4/7

you need to make the second fraction have the same denominator

to do this, you need to do 7 times 5 to make 35

times the numerator by the same

this would mean:

6/35+20/35=26/35

i hope i helped

please mark it as brainliest!!<3

Answer:

9 Cups

Step-by-step explanation:

Answer:

The answer is 9 cups.

Step-by-step explanation:

You know that you need 1.5 cups for each cake. And you know that you need to make 6 cakes. So you just multiply 1.5 by 6.

1.5*6=9

Answer: The average rate of change of the function in that interval is r = -1

Step-by-step explanation:

When we have a function f(x), the average rate of change in an interval:

a ≤ x ≤ b

Is calculated as:

[tex]rate = \frac{f(b) - f(a)}{b - a}[/tex]

In this case, the function is:

y = f(x) = (1/2)*x^2 - 1

And the interval is:

-2 ≤ x ≤ 0​

Then the rate of change will be:

[tex]rate = \frac{f(0) - f(-2)}{0 -(-2)} = \frac{((1/2)*(0)^2 - 1) -((1/2)(-2)^2 - 1)}{2} = \frac{-2}{2} = -1[/tex]

The average rate of change of that function in that interval is r = -1

Hey there!

Yes, it does. It rounds to 1.4.

1.414213562 rounded to the nearest tenth is 1.4, since the next number is less than 5, the 4 stays the same. If the next number was a 5 or greater, it would be 1.5, instead of 1.4.

Hope this helps! Good luck and have  great day!

Answer:

If I'm not.mistaken.I do believe the answer is 1.5

Answer:

x = 2.52

Step-by-step explanation:

30.16 = 17.56 + 5x

30.16 - 17.56 = 5x

12.6 = 5x

12.6/5 = 5x/5

2.52 = x

Answer:

        y + 2 = ⁶/₅(x - 5)     {the point-slope form of the equation}

        y = ⁶/₅x - 8            {the slope-intercept form of the equation}  

         6x - 5y = 40           {the standard form of the equation}

Step-by-step explanation:

The point-slope form of equation is: y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope.

m = ⁶/₅

(5, -2)    ⇒   x₀ = 5,  y₀ = -2

So, the point-slope form of the equation:

y + 2 = ⁶/₅(x - 5)

Therefore:

y + 2 =  ⁶/₅x - 6          {subtract 2 from both sides}

y = ⁶/₅x - 8              ←  the slope-intercept form of the equation

-⁶/₅x + y = - 8                    {multiply both sides by (-5)}

6x - 5y = 40               ←  the standard form of the equation

Answer:

2, 8, 14, 20, 26

Step-by-step explanation:

At n=0

2 x 0 +2=2

At n=1

6 x 1 +2=8

At n=2

6 x 2 +2 = 14

At n=3

6 x 3 +2 = 20

At n=4

6 x 4 +2 = 26

Step-by-step explanation:

Answer:

The answer is 25/64

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

because the side length are 5 and 5 and 4 which is 14.

plz mark the brainliest

13,800

The reason is, 5% move the decimal 2 times to the left you get 0.05.

690 divided by 0.05 = 13,800

Answer:

6 rooms were cleaned

Step-by-step explanation:

365-125=240

240/40=6 rooms

PLEASE MARK BRAINLIEST

Answer:

The probability is zero

Step-by-step explanation:

Probability

There are 3 white counters and 2 black counters in a bag. One of them is chosen at random.

It's required to calculate the probability that a green counter has been chosen.

The probability of an outcome is defined as the frequency of the number of times the outcome occurs relative to the number of times that it could have occurred.

The equation to calculate the probability is:

[tex]P=\frac{f}{n}[/tex]

Where f is the number of favorable cases and n is the total cases.

Since there are no green counters in the bag, it's impossible to choose a green counter, thus f=0 out of n=5 total cases:

[tex]P=\frac{0}{5}[/tex]

P = 0

We have put the cross in the mark 0 on the probability scale below

Answer:

Step-by-step explanation:

Answer: Adults = 58

Children = 42

Step-by-step explanation:

Let adults be denoted as a

Let Children be denoted as c

a + c = 100 ...... i

10a + 5c = 710 ...... ii

Multiply I by 5

Multiply ii by 1

5a + 5c = 500 ...... iii

10a + 5c = 710 ...... iv

Subtract iii from iv

5a = 210

a = 210/5

a = 42

Since a + c = 100

c = 100 - 42 = 58.

Adults = 58

Children = 42

Answer:

Vertical Asymptote at x=0

Horizontal Asymptote at y=2

Domain: x= infinity and x doesn't = 1

Range: y= infinity and y doesn't = 2

Step-by-step explanation:

Answer:

1. AA

2. SSS

3. I´m not sure about this one, I´m sorry

4. Not similar

Step-by-step explanation:

This photo can help you identify!! I hope this helps

Answer:

4m

Step-by-step explanation:

10m-6m=4m

9514 1404 393

Answer:

Step-by-step explanation:

The curve has a relative maximum where values on either side are lower. This looks like a peak in the curve. There is one of those on the y-axis at y = -4.

The relative maximum is -4.

__

A relative minimum is a low point, where the curve is higher on either side. There are two of these, located symmetrically about the y-axis. The minimum appears to be about y = -5. (They might be at x = ± 1, but it is hard to tell.)

The relative minima are -5.

__

A minimum or maximum is absolute if no part of the curve is lower or higher. Here, the minima are absolute, while the maximum is only relative. (The left and right branches of the curve go higher than y=-4.)

_____

Identifying the points on the curve should be the easy part. Deciding what the coordinates are can be harder when the graph is like this one.

Answer:

x>4

Step-by-step explanation:

-5x+6<2(-3-x)

-5x+6<-6-2x

-5x+6+2x<-6-2x+2x

-3x+6<-6

-3x<-12

Answer:

r = (C - By) / A

Step-by-step explanation:

Ar + By = C

_________

-By -By

[Subtract both sides by By (Subtraction poe)]

Ar = C - By

________

(Ar) = (C - By)

[Use parenthesis to group both terms (Associative property of equality)]

________

÷A ÷A

[Divide both sides by A to isolate r so it can be solved (Division poe)]

________

r = (C - By) / A

Answer:

a

Step-by-step explanation:

Answer:

4(3.30)+ 6(1.25)

Step-by-step explanation:

because you would multiply 4 and 3.30 and 6 ×1.25 :)

Answer:

.............,...........,.......................... ans is b

Answer:

8x+3y-5z-3

Step-by-step explanation:

8x+3y-5z-3

Just multiply the second parenthesis with the minus for your answer.