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Ludmilka [50]
3 years ago
8

Use the following coordinate plane to write the ordered pair for each point.

Mathematics
1 answer:
dusya [7]3 years ago
3 0

Answer:

For A it is 0,5

For B it is 1,3

For C it is 4,3

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Given the following three points, find by the hand the quadratic function they represent (0,6, (2,16, (3,33)
Lisa [10]

Answer:

f(x) = 4x^2 - 3x + 6

Step-by-step explanation:

Quadratic function is given as f(x) = ax^2 + bx + c

Let's find a, b and c:

Substituting (0, 6):

6 = a(0)^2 + b(0) + c

6 = 0 + 0 + c

c = 6

Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.

Substituting (2, 16), and c = 6

f(x) = ax^2 + bx + c

16 = a(2)^2 + b(2) + 6

16 = 4a + 2b + 6

16 - 6 = 4a + 2b + 6 - 6

10 = 4a + 2b

10 = 2(2a + b)

\frac{10}{2} = \frac{2(2a + b)}{2}

5 = 2a + b

2a + b = 5 => (Equation 1)

Substituting (3, 33), and c = 6

f(x) = ax^2 + bx + x

33 = a(3)^2 + b(3) + 6

33 = 9a + 3b + 6

33 - 6 = 9a + 3b + 6 - 6

27 = 9a + 3b

27 = 3(3a + b)

\frac{27}{3} = \frac{3(3a + b)}{3}

9 = 3a + b

3a + b = 9 => (Equation 2)

Subtract equation 1 from equation 2 to solve simultaneously for a and b.

3a + b = 9

2a + b = 5

a = 4

Replace a with 4 in equation 2.

2a + b = 5

2(4) + b = 5

8 + b = 5

8 + b - 8 = 5 - 8

b = -3

The quadratic function that represents the given 3 points would be as follows:

f(x) = ax^2 + bx + c

f(x) = (4)x^2 + (-3)x + 6

f(x) = 4x^2 - 3x + 6

6 0
3 years ago
Solve for r.<br><br> -35= -7r
GalinKa [24]
R= 5
You divide -7 by both sides to 1. Cancel out the -7 2. To simplify the -35. So simplified -35/-7=5
3 0
3 years ago
The school cafeteria sells two types of wraps vegetarian and chicken the vegetarian wrap costs $1.00 and the chicken wrap costs
IRINA_888 [86]

Answer:

35

Step-by-step explanation:

Let's make a system of equations for the vegetarian and chicken wraps; one for the total cost of them and one for the total amount sold.

Vegetarian wraps will be represented by variable v and chicken wraps will be represented by the variable c.

  • v + 3.40c = 266.20
  • v + c = 103

Subtract these equations.

  • 2.40c = 163.20

Divide both sides by 2.40.

  • c = 68

Substitute this value for c into the second equation.

  • v + (68) = 103

Subtract 68 from both sides.

  • v = 35  

The number of vegetarian wraps sold amounted to 35 in total.

3 0
3 years ago
Read 2 more answers
Please help I got stuck on this on thank you
svetlana [45]
Answer is B. 3

2/3 x 3  = 6/3 = 2 cups
7 0
4 years ago
If you can type 50 words per minute, how many minutes would it take you to type a 500word essay?
Vladimir [108]

Answer:

It would take 10 minutes

3 0
3 years ago
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