When the definition of a function involves a fraction, the function is undefined at any value that would make the denominator of the function is; a) 0
What is an Undefined Function?
A function that is a fraction is said to be undefined when the denominator is equal to zero. If there are variables in the denominator, the point at which the expression in the denominator is zero is the point where that function is undefined.
From the question, we want to know what the value of the denominator of a fraction will be to make that fraction undefined. From the definition above, it is clear that the value would be zero.
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The solution of the given equation 4(3x - 4) - 7( 2x + 3) = 3 is -20.
<h3>What is a linear equation?</h3>
A linear equation is an equation that has the variable of the highest power of 1.
The standard form of a linear equation is of the form Ax + B = 0.
The given equation is;
4(3x - 4) - 7( 2x + 3) = 3
To solve;
4(3x - 4) - 7( 2x + 3) = 3
Solve the parentheses using the distributive property;
12x - 16 - 14x - 21 = 3
we need to get the like terms together;
12x - 14x -16 - 21 = 3
-2x - 37 = 3
Add 37 both sides, we get;
-2x = 40
Divide both sides by -2
x = -20
Hence, the solution of the given equation is -20.
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Use f and m for "female" and "male." Then f = m + 16, and f + m = d (total)
So now we have the system of linear equations
f = m + 16
f + m = d
We can eliminate f by subst. m + 16 for f in the second equation:
d-16
m + 16 + m = d, or 2m + 16 = d. Find m. 2m = d - 16, so that m = --------
2
Assuming that the male horses are either brown or black, and that 25% of these are brown, then the rest must be black. This number is
d-16
0.75 [ --------- ] .
2
In 20 minutes John can rap 10 small boxes and Hank can rap 12 small boxes
Answer:
<em>y</em><em> </em><em>=</em><em> </em><em>5</em><em>7</em><em>°</em><em> </em><em>and</em><em> </em><em>x</em><em> </em><em>=</em><em> </em><em>3</em><em>3</em><em>°</em>
Step-by-step explanation:
<em>I've</em><em> </em><em>attached</em><em> </em><em>a</em><em> </em><em>picture</em><em>.</em>
<em>:</em><em>)</em>