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irina1246 [14]
4 years ago
6

create two scenarios of your own that involve relations in real life. Describe the scenarios in detail, including a description

of the two variables involved and data for each of the variables. Then create either a table, a mapping diagram, or a graph to represent the data in each scenario. Include at least three data points in your representation. Use a different way to represent the relation for each of your scenarios.
Mathematics
1 answer:
Lorico [155]4 years ago
7 0
Here's one example.

1) Catering Costs

"celebrations" offers catering services. They charge 30 dollars initially, and 1.5 dollars per person.

a) C representing cost and P representing people. The equation of this relation is C = 1.5p + 30

b)  C   P
    32   1
  33.5  2
    35   3
  36.5  4

(The table can be used to make points)
(p,C)

c) You can rewrite this in standard form.
  
   C = 1.5t + 30
   0 = 1.5t - C + 30
-30 = 1.5t - C
 30 = -1.5t + C

Another example:

2) Transportation.

A car is driving from City A to City B at a constant speed of 80km/h The distance away from both cities is 240km.

a) In which D represents distance in km and T represents time in hours, an equation that can represent the distance away from City B is D = -80t + 240

b) D   t
  160  1
   80   2
    0    3
  
(These can be used to make points)

c) You can rewrite in standard form.

D = -80t + 240
0 = -80t - D + 240
-240 = -80t - D
240 = 80t + D

brainliest?

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Find the x-intercepts of the parabola with
lutik1710 [3]

Answer:

The x-intercept are (-7 , 0) and (5 , 0)

Step-by-step explanation:

* Lets revise the general form of the equation of the parabola

- The general form of the equation of the parabola is:

  y = ax² + bx + c , a , b , c are constant

- The y-intercept is c, because the parabola intersect the y-axis at

  point (0 , c)

- The x-coordinate of the vertex point is -b/2a

* Now lets solve the problem

∵ The general form of the equation of the parabola is y = ax² + bx + c

∵ The y-intercept is -105

∴ c = -105

∴ y = ax² + bx - 105

∵ The vertex point is (-1 , -108)

∴ The x-coordinate of the vertex of the parabola = -1

∵ The x-coordinate of the vertex of the parabola = -b/a

∴ -b/2a = -1 ⇒ using cross multiplication

∴ -b = -2a ⇒ multiply two sides by -1

∴ b = 2a

- Substitute the value of b in the equation

∴ y = ax² + 2ax - 105

- Substitute the value of x , y in the equation by the coordinates of

 the vertex point

∵ The vertex point lies on the parabola

∴ put x = -1 and y = -108

∴ -108 = a(-1)² + 2a(-1) - 105

∴ -108 = a - 2a - 105 ⇒ add the like term

∴ -108 = -a - 105 ⇒ add 105 to both sides

∴ -3 = -a ⇒ multiply both sides by -1

∴ a = 3

- Substitute the value of a in the equation

∵ y = ax² + 2ax - 105

∴ y = 3x² + 2(3)x - 105

∴ y = 3x² + 6x - 105

- To find the x-intercept put y = 0

∴ 3x² + 6x - 105 = 0

- All the terms have 3 as a common factor

∴ divide all the terms by 3

∴ x² + 2x - 35 = 0

- Now factorize it into two factors

∵ x² = x × x ⇒ the 1st term in the bracket and the 1st term in the

  2nd bracket

∵ -35 = -5 × 7 ⇒ the 2nd term in the 1st bracket and the 2nd term in the    

  2nd bracket

∵ x × - 5 = -5x ⇒ means

∵ x × 7 = 7x ⇒ extremes

∵ 7x - 5x = 2x ⇒ the middle term

∴ (x - 5)(x + 7) = 0

- Equate each bracket by 0

∴ x - 5 = 0 ⇒ add 5 to both sides

∴ x = 5

OR

∴ x + 7 = 0 ⇒ subtract 7 from both sides

∴ x = -7

∴ The x-intercept are -7 , 5

* The x-intercept are (-7 , 0) and (5 , 0)

6 0
3 years ago
Please help with geometry
Ad libitum [116K]
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= 9/12  = 3/4  (answer).

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= sqrt 2  answer


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8 0
3 years ago
Ziggy earns $400 per week plus $75 for every sale he makes. His goal is to earn more than $1,200 this week. What is the least nu
goblinko [34]
Let w = per week
Let s = number of sales
400w + 75s = 1,200
Hope that helps
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The circumference of a circle is 361 cm. What is the radius of the circle? A 18 cm B 72 cm C 34 cm D 36 cm​
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The answer is 57.45cm
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