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The rate of change of a graph, is the slope of the graph.

The rate of change of the graph is 4.5

The points on the graph are:

[tex]\mathbf{(x,y) = (2,9) (4,18)}[/tex]

So, the slope (m) is calculated as:

[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]

This gives

[tex]\mathbf{m = \frac{18 - 9}{4-2}}[/tex]

[tex]\mathbf{m = \frac{9}{2}}[/tex]

[tex]\mathbf{m = 4.5}[/tex]

Hence, the rate of change of the graph is 4.5

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Answer:

A triangle that has no equal sides is a scalene triangle.

Answer: (1, 3)

Step-by-step explanation:

There are two ways to solve this problem, 1 without the pythagorean theorem, and 1 with it.  For the sake of simplicity, I will solve it without the pythagorean theorem.

As is visually evident from the graph, the line segment spans 6 units horizontally, and 3 units vertically.  Because the ratio between AP and PB is 1:2, simply divide both the domain and range by 3, to get 2 horizontally, and 1 vertically.  

Then, simply go to point A and respectively add and subtract the horizontal and vertical values to get point A(-1, 4) --> P(1,3)

Hope it helps, and let me know if you want me to solve it an alternate way or go more in depth as to the way it is know.

Answer:

Step-by-step explanation:

Coordinates of A and B:

The partition ratio:

Coordinates of P are:

Given that the area of the rectangular field is 15,000 sq. ft and it's width is 470 ft less than the length of the of the field, the dimensions of the field would be:

Recall:

Given:

Required:

Thus, using the area formula, the equation below is derived:

[tex](l)(l - 470) = 15,000[/tex]

[tex]l^2 - 470l = 15,000\\\\l^2 - 470l - 15,000 = 0\\\\[/tex]

[tex](l + 30)(l - 500) = 0\\\\[/tex]

[tex]l = -30 $ or $ l = 500[/tex]

We will go with the positive value, which is 500.

Therefore, the length of the rectangular field is 500 ft.

Width = l - 470

Width = 500 - 470

Width = 30 ft

Therefore, given that the area of the rectangular field is 15,000 sq. ft and it's width is 470 ft less than the length of the of the field, the dimensions of the field would be:

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Answer: y = 3x - 1

Step-by-step explanation:

y = 3x + c

-1 = 3(0) + c

-1 = 0 + c

-1 - 0 = c

-1 = c

y = 3x - 1

Answer:

the equation is not completed

Answer:

-20

Step-by-step explanation:

Multiply 4x5 which is 20 but since 5 is negative then it's -20

Answer:

m<A + m<B = 180 degrees = 2pi radians

Step-by-step explanation:

Answer:

the answer is 122cm

Step-by-step explanation:

105cm+15cm+2cm=122cm

Answer:

17.8 is the answer

Step-by-step explanation:

89/5 (the improper fraction of 17 4/5) divided is 17.8

Answer:

first method :

⅘ in decimal is 0.8 (4/5 = 8/10 = 0.8)

17 + 0.8 = 17.8

(this is the easiest method of doing this)

second method :

(17 × 5 + 4)/5

= 89/5

and dividing this u get 17.8

(but this is a lengthy method, as it will take time to devide)

Step-by-step explanation:

brainliest plz

Answer:

A = 16000(1+0.14)^12 = 77086.4777

Answer:

12 22 23 24 25 26 2u 28 ug6fyd

Answer:

Please do every single answer by transposition method..

Step-by-step explanation:

1) 3a=9

=a=9/3

=3

2) 5a=20

=a=20/5

=4

3) 7a=28

=a=28/7

= 4

4) p/2=5

=p=5×2

10

5) p/5=4

=p=4×5

=20

6) p/9=6

=p=6×9

=54

Answer:

15.99 is better

Step-by-step explanation:

because when working with dividing decimals we need to make it a whole number so we would move it over to the right till it is a whole number (which is two spaces) but first we need to put our decimal in our quotient so two spots. and 1499 divided by 64 equals 23.421875 and 1599 divided by 80 equals 19.9875 so the 15.99 dollar one is a better deal.

[tex]\\ \sf\longmapsto 4(x+7)=6x-28[/tex](Corresponding angles are equal)

[tex]\\ \sf\longmapsto 4x+28=6x-28[/tex]

[tex]\\ \sf\longmapsto 6x-4x=56[/tex]

[tex]\\ \sf\longmapsto 2x=56[/tex]

[tex]\\ \sf\longmapsto x=28[/tex]

Answer:

h = 5√3

Step-by-step explanation:

h = (√3/2)a

h = 10

h = (√3/2)10

h = 5√3

Answer:

D

Step-by-step explanation:

-2x(x+3)

-2x-6

Answer:

C

Step-by-step explanation:

2 times 7 is 14 highest dollar per hour rate

Answer:

Point C

Step-by-step explanation:

In order to determine the price point that will provide the most revenue, you could multiply the price per taco by its corresponding quantity demanded:

A) $3.00 × 2 tacos demanded = $6

B) $2.50 × 4 tacos demanded = $10

C) $2.00 × 7 tacos demanded = $14

D) $1.50  × 8 tacos demanded = $12

E) $1.00  × 12 tacos demanded = $12

Of all the given values, it turns out that at Point C, where price per taco is $2, and the quantity demanded for that price is 7, provides the most return for Rocco's.

Therefore, the price point that providees the most return is $2.

Answer:

0.9m²

Step-by-step explanation:

Find the area of the larger circle, the radius is 0.85m because the diameter is double this - 1.7m:

Find the area of the smaller circle, the radius is 0.65 because the diameter is double this - 1.3m:

Subtract the two area:

289/400π - 169/400π = 120/400π = 3/10π or 0.942477.. ≈ 0.9m²

Answer:

The answer is 2/9

Step-by-step explanation:

I got it right on the test

Slope is rise/run which is how I found the slopes.

Slope for line q is -3 and for line p it is 3.

Hope this helps !!

Answer:

[tex]x+2y-z=5 ...(1)\\ -x-y+2z=-13...(2) \\ 2x+y-2z=14...(3) \\ \\ add \: (2) + (3) \\\boxed{x= 1} \\ 2 \times (1) + (2) \\ x + 3y = - 3 \\ 1 + 3y = - 3 \\ 3y = - 4 \\ \boxed{y = - \frac{4}{3} }\\ solve \: for \: z \\ x + 2y - z = 5 \\ 1-\frac{4}{3}(2)-z=5\\3-8-3z=15\\3z=-20\\\boxed{z = - \frac{20}{3} }[/tex]

Answer:

volume = height × length ×width

volume =18×14×2

volume =504ft³

Step-by-step explanation:

answer 504ft3

Answer:

Mean = 24

Step-by-step explanation:

Mean = (Sum of Terms) ÷ (Total numbers of Terms)

Mean = (22 + 24 + 28 + 19 + 27) ÷ 5

Mean = 120 ÷ 5

Mean = 24

Answer:

ysgsvdbdbdjdnd dndjdnd

Answer:

70°

Step-by-step explanation:

90 + 20 + x = 180

110 + x = 180

x = 180 - 110

x = 70°

Answer:

60 degrees

Step-by-step explanation:

The angles are 30 and 90 degrees ( i think it was 30 degrees it wasn't a clear picture. )

A triangle it 180 degrees in total.

SO if we add 30 and 90

30 + 90 = 120

We'll get 120.

We then suptract 120 from 180

180 - 120 = 60

So the degree of x will be 60 degrees.

120 + 60 = 180