Answer:
Step-by-step explanation:
1. The y-values in the table are constant, so the slope is 0. It is a horizontal line.
There is no x-intercept.
The y-intercept is (0, 1).
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For lines in standard form, the intercepts can be found easily. The x-intercept is the value of x when y=0:
ax +0 = c
x = c/a . . . . x-intercept
Similarly, the y-intercept is the value of y when x=0:
0 +by = c
y = c/b
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3. x-intercept = (-20/2, 0) = (-10, 0)
y-intercept = (0, -20/-5) = (0, 4)
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4. x-intercept = (-6/1, 0) = (-6, 0)
y-intercept = (0, -6/-3) = (0, 2)
Plot these points and draw a line through them.
Answer:
The common ratio is -2
Next three terms are 18, -36, and 72
Step-by-step explanation:
The common ratio is -2 since each consecutive term is being multiplied by -2
The next three terms are -9(-2) = 18, 18(-2) = -36, and -36(-2) = 72
Answer:
The answer is A.
Step-by-step explanation:
Firstly, you have to take out the common terms for this expression. In this expression, the common terms ard 2 and m :
Next you have to factorise the brackets :
So the final answer is :
Answer:
By closure property of multiplication and addition of integers,
If 
is an integer
∴ 
is an integer
From which we have;
is an integer
Step-by-step explanation:
The given expression for the positive integer is x + x⁻¹
The given expression can be written as follows;
By finding the given expression raised to the power 3, sing Wolfram Alpha online, we we have;
By simplification of the cube of the given integer expressions, we have;
Therefore, we have;
By rearranging, we get;
Given that is an integer, from the closure property, the product of two integers is always an integer, we have;
is an integer and 
is also an integer
Similarly the sum of two integers is always an integer, we have;
is an integer
is an integer
From which we have;
is an integer.
