What algebraic expression represents "The sum of a number and 9"?
1 answer:
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<h2>Answer:</h2>
The value of the given expression is -27.
<h2>Given: </h2>In this problem, we need to solve the given expression in which we need to find the values of the variables. Since, the values of the variables are given, we can substitute the values and solve the equation as numerical calculation.
On substituting the values,
On squaring the values in the numerator,
On cancelling the numerator and denominator,
On adding,
Answer:
Following equations represents a linear function:
- y = 6x
- y = 4x - √2
- x – 4y = 6
Step-by-step explanation:
We know that a linear function is of the form
where m is the rate of change or slope and b is the y-intercept.
Please note that y = mx+b represents a straight line because the degree of a linear function is always 1.
Now, let us check whether the given functions represent the linear functions or not.
Checking y = 6x
y = 6x
comparing with the equation y = mx+b
slope = 6, and y-intercept b = 0
y = 6x is a straight line because the degree of the linear equation is always 1.
Checking x³- y = -2
x³- y = -2
As the power of x variable 3. So, its graph will no longer be a straight line,
Thus, it is not a linear function as a linear function can not have any exponent.
Hence, x³- y = -2 is not a linear function.
Checking y = 4x - √2
y = 4x - √2
comparing with the equation y = mx+b
slope = 4, and y-intercept b = -√2
Thus, y = 4x - √2 is a straight line because the degree of the linear equation is always 1. Thus, the graph of y = 4x - √2 is a straight line.
Checking x – 4y = 6
x – 4y = 6
writing the in the form y = mx+b
4y = x - 6
divide both sides by 4
4y/4 = x/4 - 6/4
y = x/4 - 3/2
comparing with the equation y = mx+b
slope = x/4, and y-intercept b = -3/2
Thus, x – 4y = 6 is a straight line because the degree of the linear equation is 1. Thus, the graph of x – 4y = 6 is a straight line.
SUMMARY:
Following equations represents a linear function:
- y = 6x
- y = 4x - √2
- x – 4y = 6