The ratio of the side lengths triangle is 7:24:29 and it’s perimeter is 180 m. What are the side lengths of the triangle? Select
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The total cost of producing 6 widgets is $24 if the company also discovered that it costs $16 to produce 2 widgets, $18 to produce 4 widgets, and $48 to produce 10 widgets.
<h3>What is a quadratic equation?</h3>Any equation of the form where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
Let's suppose the quadratic function is:
c(x) = ax² + bx + c
Plug c(x) = $16
x = 2
16 = 4a + 2b + c ...(1)
Plug c(x) = $18
x = 4
18 = 16a + 4b + c ...(2)
Plug c(x) = $48
x = 10
48 = 100a + 10b + c ...(3)
After solving equations (1), (2), and (3) by substitution method:
a = 0.5
b = -2
c = 18
c(x) = 0.5x² -2x + 18
Plug x = 6 widgets:
c(6) = 0.5(36) - 12 + 18 = $24
Thus, the total cost of producing 6 widgets is $24 if the company also discovered that it costs $16 to produce 2 widgets, $18 to produce 4 widgets, and $48 to produce 10 widgets.
Learn more about quadratic equations here:
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The statement which describes how the data should be plotted on a coordinate grid is: C. from the origin, go 9 units to the right and 12 units up.
<h3>What is a coordinate grid?</h3>A coordinate grid can be defined as a two-dimensional plane which comprises a horizontal line (x-axis) and a vertical line (y-axis) that are perpendicular to one another.
For this coordinate grid, the number of letters in the data for word 2 should be plotted on the x-axis and the percentage of students who spelled the word correctly on the y-axis.
Based on the table, the number of letters for word 2 is equal to 9 while the percentage of students who spelt it correctly is 12.
In conclusion, to plot the data on a coordinate grid, from the origin, go 9 units to the right and 12 units up.
Read more on coordinate grid here: brainly.com/question/22235711
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<u>Complete Question:</u>
The table of values below shows data for a five-word spelling test. Number of Letters vs. Percentage who Spelled Correctly Word Number of letters in the word Percentage of students who spelled the word correctly. Which describes how the data for word 2 should be plotted on a coordinate grid?
