The rate (in meters per second) that an object travels is the quotient of the distance (in meters) it travels and the time (in seconds) it takes to travel that distance. A particle traveled the distance of 3x^2-12 meters for ( x + 2 )seconds. Write the rate of the particle as a rational algebraic expression in simplest form.

The system of equations represented by the graph are

y = 2x + 3 and y = (-1/2)x - 3

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of one line on the graph.

y = mx + c

Select two coordinates from the line.

(0, 3) and (-3, -3)

m = (-3 - 3) / -3 = -6/-3 = 2

(0, 3) = (x, y)

3 = 0 + c

c = 3

The equation of the line is y = 2x + 3

The equation of the other line on the graph.

y = mx + c

Select two coordinates from the line.

(0, -3) and (2, -4)

m = (-4 + 3) / 2 = -1/2 = -1/2

(0, -3) = (x, y)

-3 = 0 + c

c = -3

The equation of the line is y = (-1/2)x - 3

Thus,

y = 2x + 3 and y = (-1/2)x - 3 are the system of equations.

Learn more about equation of a line here:

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Answer:

n = 9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

3n - 5 = 22

Step 2: Solve for n

Answer:

-1/4x + 3/2

Step-by-step explanation:

i dont know how explain but heres the answer :)

Answer:

165 hope this helps

Step-by-step explanation:

[tex]--------------------------------------------[/tex]

Answer:

159

[tex]--------------------------------------------[/tex]

Step-by-step explanation:

-4 + 91=87

87 + 72=159

[tex]--------------------------------------------[/tex]

SIMPLE

Answer:

228

Step-by-step explanation:

substitute 0 for x

Answer:

(2x^2 + x-7)/3x+ 3

Step-by-step explanation:

Here, we want to write the following as a single fraction;

2x-1/3 - 2/x + 1

That will be;

(2x-1)(x + 1) -2(3)/3(x+ 1)

= 2x^2+ 2x-x-1-6/3(x + 1)

= (2x^2+x-7)/3(x+1)

= (2x^2 + x-7)/3x+ 3

Answer:

y=2x+1

Step-by-step explanation:

Input X=2 into the function, so y=2(2)+1, which is 5. This matches the table.

Answer:

It's the first one: y= 2x +1

Step-by-step explanation:

If you multiply 2 by 2, you'll get 4. then you add 1. You'll get 5.

same with the others-

Answer:

0.6

Step-by-step explanation:

10l|8w

6l`|?w`

6/10=0.6

0.6 x 8w = 4.8w

Scale factor = 0.6

Step-by-step explanation:

please delete this comment

Answer:

Length of the fence required = 135 m

Step-by-step explanation:

Total length of the fence required to cover the vacant lot = Perimeter of the isosceles trapezoid

Perimeter of ABCD = AB + BC + CD + AD

Since, AB = BC = EF = ED = 25 m

From the given right triangle BEC,

m∠EBC = m∠ECB = 45°

ΔBEC will be an isosceles triangle.

So, BE = EC

By Pythagoras theorem,

BC² = BE² + EC²

25² = 2(EC)²

EC = [tex]\frac{25}{\sqrt{2}} =17.7[/tex] m

And DC = (DF + EF + EC)

             = EC + EF + EC [Since, DF = EC]

             = 2EC + EF

             = 35.4 + 25

             = 60.4 m                            

Hence. perimeter of ABCD = 25 + 25 + 60.4 + 25

                                              = 135.4 m

                                              ≈ 135 m

Therefore, length of the fence required = 132 m

Answer:

B and R

I think that is the name of the lines. If not the the first two lines!!!!

Answer:

-$15.00

Step-by-step explanation:

simple math bro

Answer:

D) 3cm/s

Step-by-step explanation:

Speed (or velocity) is calculated with d/t (distance/time). From the multiple-choice options, we know the unit is cm/s, which makes it super convenient.

Now, using the equation and seeing that 27cm is the distance and 9s is the time, 27/9 =3.

Therefore, the answer is D, 3cm/s.

Hope that helps!

Answer:

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Step-by-step explanation:

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer:

y=6x+4.2

Step-by-step explanation:

rakka flakka told me

Answer:

2/15

Step-by-step explanation:

Step one:

given data

sample space

1 elephant,

4 bears,

3 cats, and

2 dogs.

sample size= 1+4+3+2= 10

Required:

By selecting without replacement, the probability that she chooses a bear both times

Step two:

the first event= Pr(bear)= 4/10= 2/5

the second event, the sample size is now 9 and the number of bears is now 3

Pr(bear)= 3/9= 1/3

Hence, the probability that she chooses a bear both times

= 2/5*1/3

=2/15

Answer:

19 years

Step-by-step explanation:

Initial height of tree when Samiya bought the tree = 3 inches

Growth in the height of tree every year = 5 inches

Number of years = [tex]y[/tex]

Growth in the height of tree in [tex]y[/tex] years = 5 inches multiplied by number of years

Growth in the height of tree in [tex]y[/tex] years = 5[tex]y[/tex] inches

To find:

Number of years taken by the tree to be 8 ft or 96 inches.

Solution:

The equation for height of tree after [tex]y[/tex] years can be written as:

3 + 5[tex]y[/tex] which is to be compared with 96 inches.

Therefore, the equation is:

[tex]3 + 5y = 96\\\Rightarrow 5y=93\\\Rightarrow y \approx 19[/tex]

Therefore, it will take 19 years for the tree to reach a height of 96 inches.

Answer:

C

Step-by-step explanation:

Answer:

B. 4

Step-by-step explanation:

5x - 2(2x-1) = 6   Distribute first the 2 to (2x-1)

5x - 4x + 2 = 6    Subtract 5x - 4x

x + 2 = 6   Transpose 2 to the right side by subtracting both side by 2

x = 6 -2

x  = 4

Answer:

B. 9

Step-by-step explanation:

12 times 3/4 is 9

Answer:

it takes 4 of the 3/4 servings to make a whole number and it's 3 cups.

12/3= 4 and 4*4= 16

so 16 children can eat ice cream

or you could do 12/0.75= 16

you would do that because 3/4=0.75

you would divide and not multiply because you're seeing how many times 0.75 can go into 12

Step-by-step explanation:

Answer:1:7

Step-by-step explanation:

Answer:

for every 7 miles Nolan drove alexander drove 1

Step-by-step explanation:

Answer:

terms 3

coefficients 2

constant is your 11

Step-by-step explanation:

Answer:

17 plus 44 is 61.

Step-by-step explanation:

I used a calculator. In order for ur brain to learn something new, its got to get rid of some stuff. am I right?

9514 1404 393

Answer:

  -8/5

Step-by-step explanation:

When you solve for y, the slope of the line is the x-coefficient. For the given line, that is ...

  8y = 5x +11 . . . . . add 5x

  y = 5/8x +11/8 . . . . divide by 8

The given line has a slope of 5/8. The perpendicular line will have a slope that is the opposite of the reciprocal of this:

  -1/(5/8) = -8/5 . . . . slope of perpendicular line

Answer:

The slope of the perpendicular line will be -8/5, or -1.6

Step-by-step explanation:

First we need to rearrange the equation to show the slope, putting in the format y = sx + c:

[tex]8y - 5x = 11\\8y = 5x + 11\\y = \frac{5}{8}x + \frac{11}{8}[/tex]

So the given line has a slope of 5/8.

A line perpendicular to that will have a negative reciprocal of that slope, so it's slope will be -8/5.

Answer:

Line J

Step-by-step explanation:

It is sloping downwards. It starts in  the top left and end at the bottom right, so it it the only negative one

Answer:

Line J

Step-by-step explanation:

Its the only one descending downwards, while the other two are going up in a positive direction.

Hope this helps (:

Answer:

14,000+2.1%(0.021)x

Step-by-step explanation:

x is how many years