Question
Find the simplified Quotient , and state the domain.
Hint:
The expansions of certain identities are:
We are asked to find the quotient and state the domain of the expression.
The correct answer is: the domain is; (-∞, 7) ∪ (7, ∞)
Step 1 of 3:
The given expression is .
Take the reciprocal of the second expression and them multiply it with the first expression. This works same as division;
Step 2 of 3:
Simplify the expression and cancel out the common factors;
Thus, the quotient is : 
.
Step 3 of 3:
The domain of the expression should exclude the value for which the denominator attains a zero value.
x - 7 = 0
x = 7
Thus, the domain is; (-∞, 7) ∪ (7, ∞)
Step 2 of 3:
Simplify the expression and cancel out the common factors;
Thus, the quotient is :
.Step 3 of 3:
The domain of the expression should exclude the value for which the denominator attains a zero value.
x - 7 = 0
x = 7
Thus, the domain is; (-∞, 7) ∪ (7, ∞)
Division of an expression by zero is not defined. That is why; we exclude the values of zero for the denominator.
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¶The formula for equations of a line is:
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¶The formula for equations of a line is:
1) The formula for Point-Slope is (y - y1) = m (x – x1)
2) The equation y = mx + b for the slope-intercept
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Write the equation in slope-intercept form of the line that passes through the points (3, 1) and (0, -3).
The slope-intercept form of a line is the most common way to express a line's equation. For example, the slope-intercept form, y = mx + c, is the equation of a straight line with slope m and intercept c on the y-axis. In this case, m and c can be any two real numbers.
The value of m in the equation defines the line's slope (or gradient). It can have a positive, negative, or 0 value.
• Positive gradient lines rise from left to right.
• Negative gradient lines slant in reverse order From left to right.
• The gradient of horizontal lines is zero.
The value of c is known as the line's vertical intercept. When x = 0, this is the value of y. When drawing a line, c indicates where the line intersects the vertical axis.
For example, y = 3x + 2 has a slope of 3 (i.e., m = 3) and an intercept of 2 on the y-axis (i.e., c = 2).
To determine the slope-intercept equation. First, find the slope of a line and then the y-intercept of a line.
Write the equation in slope-intercept form of the line that passes through the points (3, 1) and (0, -3).
The slope-intercept form of a line is the most common way to express a line's equation. For example, the slope-intercept form, y = mx + c, is the equation of a straight line with slope m and intercept c on the y-axis. In this case, m and c can be any two real numbers.
The value of m in the equation defines the line's slope (or gradient). It can have a positive, negative, or 0 value.
• Positive gradient lines rise from left to right.
• Negative gradient lines slant in reverse order From left to right.
• The gradient of horizontal lines is zero.
The value of c is known as the line's vertical intercept. When x = 0, this is the value of y. When drawing a line, c indicates where the line intersects the vertical axis.
For example, y = 3x + 2 has a slope of 3 (i.e., m = 3) and an intercept of 2 on the y-axis (i.e., c = 2).
To determine the slope-intercept equation. First, find the slope of a line and then the y-intercept of a line.
