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1 answer:
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Answer:
y = 2.4
Step-by-step explanation:
Given y varies inversely with x then the equation relating them is
y = ← k is the constant of variation
To find k use the condition y = 8 when x = 3
k = yx = 8 × 3 = 24
y = ← equation of variation
When x = 10, then
y = = 2.4
Answer:
<u>Question 1:</u>
Draw a line that crosses the largest number of dots. Then use the line to check the best prediction of the number of baseballs that will be used if 275 pitches are thrown.
<u>Question 2:</u>
A). y = 1.2x - 6
<u>Question 3:</u>
J). y =
<u>Question 4:</u>
F). f(n) = -3n + 24 *<em>Although it doesn't work when f(n) = 6 and n = 6*</em>
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Step-by-step explanation:
<u>Question 2:</u>
The line passes throught point (5, 0) and is parallel to the line whose equation is y = 1.2x + 3.8
For parallel lines, their values of slope is the same.
So our line, that passes through point (5, 0), also has a slope of 1.2
Taking another point (x, y) on our line;
Slope = change in y ÷ change in x
1.2 =
y = 1.2x - 1.2(5)
y = 1.2x - 6
<u>Question 3:</u>
The line passes x-axis at point (36, 0)
The line is perpendicular to another line whose equation is y = - + 5
For perpendicular lines, the product of their slopes = -1
Let's say the slope of our unknown line is a ;
Given: The slope of our second line is -4/9
So,
a × -4/9 = -1
a = -1 × -9/4 = 9/4
Taking another point (x, y) on our unknown line;
Slope = change in y ÷ change in x
9/4 =
Cross-multiplying that you get;
y =
<u>Question 4:</u>
The function that model that situation is f(n) = -3n + 24 though it doesn't work when f(n) = 6 and n = 6