2.
Domain: , because any value of is allowed and gives a number .
Range: , because for any positive real .
y-intercept: This is a point of the form . So plug in ; we get . So the intercept is (0, 2), or just 2. (Interestingly, you didn't get marked wrong for that...)
Asymptote: This can be deduced from the range; the asymptote is the line .
Increasing interval: Going from left to right, there is no interval on which is increasing, since 1/4 is between 0 and 1.
Decreasing interval: Same as the domain; is decreasing over the entire real line.
End behavior: The range tells you , and you know is decreasing over its entire domain. This means that as , and and .
3.
Domain: Same as (2), .
Range: We can rewrite . for all , so for all . Then the range is .
y-intercept: We have , so the intercept is (0, -6) (or just -6).
Asymptote:
Increasing interval: Not increasing anywhere
Decreasing interval:
End behavior: Similar to (2), but this time as and as .
3/4 = 0.75 or 75%. So you need to find 75% of 200... Simply multiply 0.75 or 3/4 by 200 and you will get your answer... (0.75)(200) = 150....
You could also realize with this problem that 3/4 of 200 is 150 because 50 goes into 200 4 times. 50 = 1/4, 100 = 2/4 = 1/2, 150 = 3/4 & 200 = 4/4 = 1.
Answer:
y=x+1
Step-by-step explanation:
As you can see, the slope is clearly 1 and the line starts at (0, 1), which is its y-intercept.
Plug the variables into this formula: y=mx+b, then you will get y=x+1.
<span>[3a2 + (–3a2)] + (–5ab + 8ab) + (b2 + 2b2)</span><span>
</span>
Answer:
y = 12
Step-by-step explanation:
y = 3x2+6
= 6+6
= 12
y = 12