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tia_tia [17]
2 years ago
7

The number of calories C varies directly as the number of ounces N of avocado that is consumed by the body and C is 380 calories

N is 20 ounces. Find C when N is 36 ounces.
Mathematics
1 answer:
Ksju [112]2 years ago
3 0

Given that C varies directly as N, the value of Calories C when the number of ounces N is increased to the given value is 684 calories.

<h3>What is Proportional relationships?</h3>

Proportional relationships are relationships between two variables where their ratios are equivalent.

Direct variation equation is a linear equation in two variables.

It is expressed as;

a ∝ b then a = kb

Where k is the proportionality constant.

Given the data in the question;

  • Calories C = 380 calories
  • Number of ounces N = 20 ounces

Since Calories C and Number of ounces N varies directly, we find their proportionality constant.

a ∝ b then a = kb

C = kN

380 calories = k × 20 ounces

k = 380 calories / 20 ounces

k = 19 calories/ounces

Now,we find C when N is 36 ounces.

C = kN

C = 19 calories/ounces × 36 ounces

C = 684 calories

Given that C varies directly as N, the value of Calories C when the number of ounces N is increased to the given value is 684 calories.

Learn more about proportionality here: brainly.com/question/11202658

#SPJ1

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Expand the squared binomials:

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Then

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5 0
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Please walk me through how to do this so I can di the other questions​
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Answer:

Axis is a vertical line at x = 2

Vertex is (2, -1)

y-intercept is (0, 3)

Solutions are x = 1 and x = 3

Step-by-step explanation:

To draw the graph of the quadratic equation you must find at least 5 points lie on the graph by choose values of x and find their values of y

Let us do that

Use x = -1, 0, 1, 2, 3, 4, 5

∵ y = x² - 4x + 3

∵ x = -1

∴ y = (-1)² - 4(-1) + 3 = 1 + 4 + 3 = 8

→ Plot point (-1, 8)

∵ x = 0

∴ y = (0)² - 4(0) + 3 = 0 + 0 + 3 = 3

→ Plot point (0, 3)

∵ x = 1

∴ y = (1)² - 4(1) + 3 = 1 - 4 + 3 = 0

→ Plot point (1, 0)

∵ x = 2

∴ y = (2)² - 4(2) + 3 = 4 - 8 + 3 = -1

→ Plot point (2, -1)

∵ x = 3

∴ y = (3)² - 4(3) + 3 = 9 - 12 + 3 = 0

→ Plot point (3, 0)

∵ x = 4

∴ y = (4)² - 4(4) + 3 = 16 - 16 + 3 = 3

→ Plot point (4, 3)

∵ x = 5

∴ y = (5)² - 4(5) + 3 = 25 - 20 + 3 = 8

→ Plot point (5, 8)

→ Join all the points to form the parabola

From the graph

∵ The axis of symmetry is the vertical line passes through the vertex point

∵ x-coordinate of the vertex point is 2

∴ Axis is a vertical line at x = 2

∵ The coordinates of the vertex point of the parabola are (2, -1)

∴ Vertex is (2, -1)

∵ The parabola intersects the y-axis at point (0, 3)

∴ y-intercept is (0, 3)

∵ x² - 4x + 3 = 0

∵ The solutions of the equation are the values of x at y = 0

→ That means the intersection points of the parabola and the x-axis

∵ The parabola intersects the x-axis at points (1, 0) and (3, 0)

∴ Solutions are x = 1 and x = 3

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3 years ago
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The distance between them is 5.83 units. Enjoy!
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Read 2 more answers
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