Which equation represents the line that passes through points 0,6 and 2,0
1 answer:
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The 15th term of the arithmetic sequence
Option B is correct
The nth term of an arithmetic sequence is given as:
The first value, a = 22
Since
The common difference, d = 3
The 15th term of the arithmetic sequence = 64
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Answer:
Yes, I agree
Step-by-step explanation:
For the cubic function
A cubic function is represented as:
A cubic function may have 1, 2 or 3 x intercepts. This is shown below
For 3 x intercepts
Equate y to 0
Expand
Express as difference of two squares
<em>x = 0 or 1 or -1</em>
For 2 x intercepts
Equate y to 0
Expand
<em>x= 5 or x = -7</em>
For 1 x intercept
Equate y to 0
Take cube roots of both sides
It has been shown above that a cubic function may have 1, 2 or 3.
So, I agree to the statement
For the quadratic function
A quadratic function will not have any x intercept when the function can not be factorized;
E.g.
<em>The above function has no x intercept.</em>
A quadratic function will have at least 1 x intercept when the function can be factorized;
E.g.
Equate y to 0
Expand
We've shown that a quadratic may have no x intercept, and it may also have x intercept(s)
Hence, I agree to both statement
Answer:
101.9 sq ft
Step-by-step explanation:
The figure is missing: find it in attachment.
Here we want to find the lateral surface area of the figure, which is the sum of the areas of all faces.
We have in total 5 faces:
- 1 of them is rectangle with sizes (8.5 ft x 3.3 ft), so its area is
- 1 of them is a rectangle with sizes (3.3 ft x 5.1 ft), so its area is
- 1 of them is a rectangle with sizes (6.8 ft x 3.3 ft), so its area is
- Finally, we have 2 triangular faces (top and bottom), so their area is
where
b = 5.1 ft is the base
h = 6.8 ft is the height (because the triangle is a right triangle)
So the area of the triangle is
So the total lateral surface area of the figure is:
