Answer:
y=3.2
y=16/5
y= 3 1/5
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Step-by-step explanation:
Tommy’s class rank dropped 10 %
The slope of the line is 4.83 and the y-intercept is 51
<h3>How to determine slope and the y-intercept?</h3>
From the graph, we can see that the line of the best fit touches the y-axis at y = 51
This means that:
The y-intercept is 51
The slope is then calculated as:
m = (y2 - y1)/(x2 - x1)
Using the points on the line, we have:
m = (80 - 51)/(6 - 0)
Evaluate
m = 4.83
Hence, the slope of the line is 4.83
Read more about line of best fit at:
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Answer:

Step-by-step explanation:
The three step test for continuity states that a function ƒ(x) is continuous at a point x = a if three conditions are satisfied:
- f(a) is defined.
- The limit of ƒ(x) as x approaches a exists.
- The limit of ƒ(x) as x approaches a is equal to f(a).
(i) Left-hand limit = right-hand limit.
Pass. The limit from either side is 8.
(ii) Left-hand limit = limit.
Pass. If the limits from either direction exist, the limit exists.
(iii) Limit as x ⟶ ∞ is not part of the three-step test.
(iv) Limit as x ⟶ 1 exists. Pass.
(v) f(1) is defined.
FAIL. f(1) is not defined.
(vi) Limit as x ⟶ ∞ is not part of the three-step test.
(vii) Passing the three-step test is not a step in the test.
(viii) The limit as x ⟶ 1 does not equal f(1).
FAIL. f(1) is undefined.
The steps in the three-step test for which the function fails are
.
Answer:
Step-by-step explanation:
Given a triangle with angles 60° and 60°. Let the third angle be represented by x, so that;
x + 60° + 60° =
(sum of angle in a triangle)
x + 120 = 
x =
- 120
x = 60°
Thus, since the third angle of the triangle is 60°, then the triangle is an equilateral triangle. For an equilateral triangle, all sides are equal and all its angles are equal. So that the other sides of the triangle is 10 each.
<ABC ≅ <BAC ≅ < ACB ≅ 60°
AB = BC = AC = 10 cm
The required construction for the question is attached to this answer for more clarifications.