Check out the attached image below. Use polynomial long division (see figure 1) or synthetic division (figure 2) to find that the quotient is x-8
This tells us the slant asymptote is y = x-8
The presence of the slant asymptote means we do not have a horizontal asymptote. As x gets larger and larger, and heads to infinity, then y approaches the line y = x-8; rather than y approaching some single fixed value.
The vertical asymptote is x = -4 because this x value makes the denominator x+4 equal to 0. We cannot divide by zero.
Figure 3 shows the graph, which I have done using GeoGebra (a free graphing tool). This is also attached below.
Answer:
200 in²
Step-by-step explanation:
The face consists of two 10 in squares. Each of those will have an area of ...
(10 in)² = 100 in²
so the two of them together will have an area of ...
2 × 100 in² = 200 in²
Answer:
−2x^2−5x+3
Step-by-step explanation:
simplify
−4x^2 + 10 + 2x^2 −5x −7
= −4x^2 + 10 + 2x^2 + −5x +−7
combine like terms:
= −4x^2 + 10 + 2x^2 + −5x + −7
= (−4x^2 + 2x^2) + (−5x) + (10+ −7)
= −2x^2 + −5x + 3