Julissa is running a 10-kilometer race at a constant pace. After running for 18 minutes, she completes 2 kilometers. After running for 54 minutes, she completes 6 kilometers. Her trainer writes an equation letting t, the time in minutes, represent the independent variable and k, the number of kilometers, represent the dependent variable.

Which equation can be used to represent k, the number of kilometers Julissa runs in t minutes?
k – 2 = k minus 2 equals StartFraction 1 Over 9 left-parenthesis t minus 18 right-parenthesis.(t – 18)
k – 18 = k minus 18 equals StartFraction 1 Over 9 left-parenthesis t minus 2 right-parenthesis.(t – 2)
k – 2 = 9(t – 18)
k – 18 = 9(t – 2)

Answer:

x = 54

Step-by-step explanation:

43 + x - 7 = 90

36 + x = 90

x = 54

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:

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:

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:

Step-by-step explanation:

10 actual miles 2 cm 120 actual miles

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

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

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!

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

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:

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:

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:

8

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

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:

Step-by-step explanation:

A 8.0

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:

-3/4

Step-by-step explanation:

rise/run

^^^you go up 3 and move left 4

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

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

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:

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:

7

Step-by-step explanation:

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: 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:

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

Step-by-step explanation:

[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]

Answer:

90°

Step-by-step explanation:

Answer:

(3,1)

Step-by-step explanation: