Let's multiply each of the four squares, one by one.
In blue, we see the dimensions are x by x. x times x = x^2
In pink, we see the dimensions are 9 by x. x times 9 = 9x
In green, the dimensions are x by 3. 3 times x = 3x
And finally, yellow's dimensions are 3 by 9. 3 times 9 = 27
We can now just add all these areas to find the total area:
x^2 + 12x + 27
The function
... y = 1/x
has derivative
... y' = -1/x²
which has no zeros. It is undefined at x=0, the only critical point. The derivative is negative for all values of x, so the function is decreasing everywhere in its domain.
Your function
... y = (x+1)/(x-3)
can be written as
... y = 1 +4/(x-3)
which is a version of y = 1/x that has been vertically scaled by a factor of 4, then shifted 1 unit up and 3 units to the right. Shifting the function to the right means x=3 is excluded from the domain (and the interval on which the function is decreasing).
The critical point is x=3.
The function is decreasing on (-∞, 3) ∪ (3, ∞), increasing nowhere.
Answer: 3 pounds
Step-by-step explanation:
The equation can be set up according to slope form: y=mx+b where x represents cost per round.
$70 = $7.51x + $47.47
Subtract 47.47 to both sides: $22.53 = $7.51x
Divide both sides by 7.51: 3 = x
Tan 37,4 = opposite/adjacent
tan 37,4 = x/12,8
• then multiply both sides by 12,8
12,8tan 37,4 = x
Therefore x = 9, 79 x 100
= 97, 86
= 100
( I guess that’s how you can round it to the nearest hundred, please correct me if I’m wrong)
Second one:
Answer:
Step-by-step explanation:
2a-1<7-1.2 a
2a+1.2a<7+1
3.2 a<8
a<(8/3.2)
or a<(80/32)
or a<5/2
or a<2.5