The gravitational potential energy of an object is given by the formula P = mgh.

Which equation is correctly solved for the height, h?

h = P + mg
h = P - mg
h = P/mg
h = Pmg

Answer:

[tex]\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}[/tex]

Step-by-step explanation:

We are given the function:

[tex]\displaystyle g(x)=-\frac{3}{x-2}+2[/tex]

Let's find the inverse of g.

Call y=g(x):

[tex]\displaystyle y=-\frac{3}{x-2}+2[/tex]

We need to solve for x. Multiply both sides by x-2 to eliminate denominators:

[tex]y(x-2)=-3+2(x-2)[/tex]

Operate:

[tex]yx-2y=-3+2x-4[/tex]

Collect the x's to the left side and the rest to the right side of the equation:

[tex]yx-2x=-3-4+2y[/tex]

Factor the left side and operate on the right side:

[tex]x(y-2)=-7+2y[/tex]

Solve for x:

[tex]\displaystyle x=\frac{-7+2y}{y-2}[/tex]

Interchange variables:

[tex]\displaystyle y=\frac{-7+2x}{x-2}[/tex]

Call y as the inverse function:

[tex]\boxed{\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}}[/tex]

Answer:

-3/4

Step-by-step explanation:

rise/run

^^^you go up 3 and move left 4

Answer:

(3,1)

Step-by-step explanation:

Answer:

x=5.45

Step-by-step explanation:

Answer:

answer

Step-by-step explanation:

Exact form: 60/11

Decimal form: 5.45

Mixed form: 5 5/11

Hope it answers your question

Answer:

Step-by-step explanation:

A 8.0

Answer:

1

Step-by-step explanation:

1/2 is half of 1

Hope this helps! Stay Safe!

Answer:

1

Step-by-step explanation:

because 1/2is just .50 wich is half of 1

Answer:

x = 54

Step-by-step explanation:

43 + x - 7 = 90

36 + x = 90

x = 54

since 3/4 is less than one. if the number is less than one, it will always result in a smaller number. And anything multiplied to one is the other number.

EX: 1*3=3

3/4*3= 9/4= 2 1/4= 2.25

[tex]\large\boxed{\textsf{False.}}[/tex]

[tex]\Large\underline{\textsf{What are Linear Pairs?}}[/tex]

[tex]\textsf{Linear Pairs are 2 angles that form a straight angle.}[/tex]

[tex]\textsf{Straight angles are equal to 180}^{\circ}.[/tex]

[tex]\textsf{Complementary angles are 2 angles that form a right angle.}[/tex]

[tex]\textsf{Right angles are equal to 90}^{\circ}.[/tex]

[tex]\textsf{Because Linear Pairs are equal to 180}^{\circ}, \textsf{Linear Pairs are Supplementary.}[/tex]

[tex]\textsf{For this problem, if linear pairs are complementary, the other 2 angles will be 90}^{\circ}?[/tex]

[tex]\textsf{False, assuming we are referring to angles that add up to 360}^{\circ}.[/tex]

[tex]\textsf{The angles would add up to 270}^{\circ} \ \textsf{instead.}[/tex]

Not an answer. There should be a question here? I didn’t see one

Answer:

21 quarters and 21 dimes

Step-by-step explanation:

21 quarters = 5 dollars and 25 cents

21 dimes = 2 dollars and 10 cents

add together and you get the total

21 quarters and 21 dimes

Answer:

8

Step-by-step explanation:

Answer: Commutative Property

The Commutative Property states that any multiplication or addition equation flipped around will have the same value. For example:

   [tex]3 + 8 = 8 + 3[/tex]

Hope this helps you!

Answer:

wait (ik its got nothing to do with ur question but are u a weeb BC I've been looking for a new anime but I can't find one

Answer:

v = -35/25      or      -1   11/24  

Step-by-step explanation:

First, isolate the variable. We should add 1/2 on both sides of the equation to get 4/5v = -7/6. Then we divide 4/5 on both sides to get v = -35/24!

hope this helped!! <3

The required equation of the line is given as y =1/4x -17/4.

The slope of the line is a tangent angle made by line with horizontal. i.e. m = tanx where x in degrees.

The slope of the line is given as,
m = (y₂ - y₁) /  (x₂ - x₁)
Substitute the value in the above equation,
m = -2 + 4 / 9 - 1

m = 2 / 8
m = 1/4
Since the slope of the parallel lines is equal,
The equation of the parallel is given as,
y - y₁ = m (x - x₁)

Substitute the point in the equation,
y + 3 = 1/4(x - 5)
y = 1/4x - 5/4 -3
y =1/4x -17/4

Thus, the required equation of the line is given as y =1/4x -17/4.

Learn more about slopes here:
https://brainly.com/question/3605446

#SPJ2

Answer:

Choice 2 and 4

Step-by-step explanation:

3x-1>2

+1 +1

3x>3

x>1

8-4x<4

-8 -8

-4x<-4

x>1

Answer: O A.52 cubic yards

Step-by-step explanation: if u add 3+9+4+8+6+22= 52 cubic yards in the total volume of the figure :>

Answer:

A function that changes the same way can be a linear function.

y = a*x + b.

Where the rate of change (this is, how much changes y when x increases or decreases) is defined by the coefficient a, that is constant.

for example, suppose that when x = x0, we have y = y0

y0 = a*x0 + b.

Now x0 increases by one unit, to (x0 + 1)

y = a*(x0 + 1) + b = (a*x0 + b) + a = y0 + a.

Then if x increases (or decreases) 1 unit, y increases (or decreases) a units.

Now, we can define the rate of change of a function as it's derivate with respect to some variable.

In this case, if we derive with respect to x, we have:

y' = a

Then the rate of change is constant.

Answer:

Step-by-step explanation:

10 actual miles 2 cm 120 actual miles

Answer:

7200

Step-by-step explanation:

I'm not going to explain but i will say that you should multiply 300x 24 to get you answer  

Answer:

[tex]y= 100x +300[/tex]

[tex]x=[/tex] How many months

Step-by-step explanation:

In this equation a

We are solving to find after 24 months you want to plug 24 in to where X is and solve the eqaation from there.

Hope this helps!!

Answer:

is A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The higher the exponent of a number, the larger the number is. The highest exponent is that of A which is 23.

Answer: scale factor = 1.5

Step-by-step explanation:

[tex]\text{Scale factor}=\dfrac{\text{Side length of image}}{\text{Side length of original figure}}[/tex]

Given: Triangle ABC is a scaled copy of triangle DEF.

Side AB = 12 cm and is the longest side of ABC.

Side DE = 8 cm and is the longest side of DEF.

[tex]\text{For similar triangles, Corresponding sides are proportional.}[/tex]

AB is corresponds DE (longest side of both triangles)

So, [tex]\text{Scale factor}=\dfrac{\text{AB}}{\text{DE}}=\dfrac{12}{8}=1.5[/tex]

Hence, the scale factor = 1.5.

Answer:

Not linear

Step-by-step explanation:

19.6-4.9=14,7

14.7+19.6=34.3 not 44.1

Answer:

3.48*10^-19

Step-by-step explanation:

We have the equation E = hf where h is planck's constant = aroung 6.63*10^-34 and f = frequency. We can then plug in the values and get the answer above.

Answer:

yes.........................................................

Step-by-step explanation:

Answer:

Step-by-step explanation:

First you will divide I-2xI on both sides that should look like this:

       -2x/-2 = 10/-2

when you divide it your -2‘s should cancel out and you should be left with

         -x=10/-2

when You divide 10/-2 you should get -5

         10/-2= -5

your answer should look like this then

         -x=-5

-5 is just one of your answers the other is 5

To get rid of the negative on the -X you have to didvide it by both sides

        -x/-x=-5/-x

your answer should be

          X= 5

your final answers are

      -5 or 5

The value of x is "5".

[tex]|-2x|=10[/tex]

x=?

[tex]\to |-2x|=10\\\\\to 2x=10\\\\\to x=\frac{10}{2}\\\\\to x= 5[/tex]

Therefore, the final answer is "5".

Learn more about the equation here:

brainly.com/question/18681264

Answer:

Dependent would be the number of cartons and independent would be the size.

Step-by-step explanation:

Answer:

Step-by-step explanation:

5-2x+16=6x+7

-2x-6x=7-5-16

-8x=-28

x=28/8=14/4=7/2=3.5

will be nice if you give me brainlies.Good luck!