The answer to 5 is A. And the answer to #6 is B. Here is why: So the cost for 6 pens is $2.34. So, you want to find the unit rate. The unit rate basically, in this case, would be how much on pen costs. So to find how much one pen costs you would divide 6 into $2.34. That would give you .39¢. Now to find out how much 20 pencils would cost you would multiply .39¢ by 20. This would give you $7.80. Do you see it now? I hope this could be helpful!
Answer:
Dividend: Number on top
Divisor: Number on bottom
Quotient: Answer
Dividend ÷ Divisor = Quotient
To find a rational function's vertical asymyptotes, you need to find when the denominator is zero. So when is the denominator x² + 3x - 4 zero? We set that denominator equal to zero.
x² + 3x - 4 = 0
This second degree equation factors. We want a pair of numbers that multiply to 4, and there are only two pairs: 2 and 2, 1 and 4. We want the sum to 3, and one must be negative. -2 and 2 add to zero, -4 and 1 add to -3, -1 and 4 add to 3. The last one is the pair.
x² + 3x - 4 = 0
(x + 4) (x - 1) = 0
x = -4 or x = 1
So the function's vertical asymptotes are at x = 1 and x = -4.
<u>Answer-</u>
<em>Zeros of the functions are </em><em>0 with multiplicity of 2</em><em> and </em><em>1, 3 with multiplicity of 1.</em>
<u>Solution-</u>
The given polynomial is,
For calculating roots,
The root at x²=0, has multiplicity of 2 as the power is 2.
So, the graph will bounce at x=0
At x=1, x=3 the graph will go through the x axis. They have multiplicity of 1.
