Answer:
odd degree and positive leading coefficient
Step-by-step explanation:
From the graph , we can see that when x goes to infinity , y goes to infinity
As x--> ∞, y--> ∞ (As x increases the value of y increases on the positive side)
we can see that when x goes to -infinity , y goes to -infinity
As x--> -∞, y--> -∞ (As x decreases the value of y decreases on the negative side)
When x--> ∞, y--> ∞ and x--> -∞, y--> -∞
The leading coefficient is positive and largest exponent is odd
So the graph has odd degree and positive leading coefficient
Answer:
Step-by-step explanation:
<h3>AP given</h3>
<h3>To find</h3>
<h3>Solution</h3>
Common difference
<u>Difference of first two</u>
- d = (a -b) - (a + b) = -2b
<u>Difference of second two</u>
<u>Difference of last two</u>
<u>Now comparing d:</u>
- -2b = ab - (a - b)
- ab - a = - 3b
- a(1 - b) = 3b
- a = 3b/(1 - b)
and
- a/b - ab = -2b
- a(1/b - b) = -2b
- a = 2b²/(b² - 1)
<u>Eliminating a:</u>
- 2b²/(b² - 1) = 3b/(1 - b)
- 2b/(b+1) = -3
- 2b = -3b - 3
- 5b = - 3
- b = -3/5
<u>Finding a:</u>
- a = 3b/(1 - b) =
- 3*(-3/5) *1/(1 - (-3/5)) =
- -9/5*5/8 =
- -9/8
<u>So the first term is:</u>
- a + b = -3/5 - 9/8 = -24/40 - 45/40 = - 69/40
<u>Common difference:</u>
<u>The 6th term:</u>
- a₆ = a₁ + 5d =
- -69/40 + 5*6/5 =
- -69/40 + 240/40 =
- 171/40 = 4 11/40
Answer: 3.50x + 4.00y ≤ 45
0 < y < 11.25
<u>Step-by-step explanation:</u>
![3.50x + 4.00y \leq 45\\\\\\\text{Subtract 3.50x from both sides:}\\4.00y\leq -3.50x+45\\\\\\\text{Divide everything by 4.00 (to isolate y):}\\\dfrac{4.00y}{4.00}\leq \dfrac{-3.50x}{4.00}+\dfrac{45}{4.00}\\\\\\y\leq-0.875x+11.25\\\\\\\text{Both x and y must be greater than zero, so:}\\0](https://tex.z-dn.net/?f=3.50x%20%2B%204.00y%20%5Cleq%2045%5C%5C%5C%5C%5C%5C%5Ctext%7BSubtract%203.50x%20from%20both%20sides%3A%7D%5C%5C4.00y%5Cleq%20-3.50x%2B45%5C%5C%5C%5C%5C%5C%5Ctext%7BDivide%20everything%20by%204.00%20%28to%20isolate%20y%29%3A%7D%5C%5C%5Cdfrac%7B4.00y%7D%7B4.00%7D%5Cleq%20%5Cdfrac%7B-3.50x%7D%7B4.00%7D%2B%5Cdfrac%7B45%7D%7B4.00%7D%5C%5C%5C%5C%5C%5Cy%5Cleq-0.875x%2B11.25%5C%5C%5C%5C%5C%5C%5Ctext%7BBoth%20x%20and%20y%20must%20be%20greater%20than%20zero%2C%20so%3A%7D%5C%5C0%3Cy%3C11.25)
- ∆ABD is right angled hence area:-
![\\ \sf\longmapsto \dfrac{1}{2}bh](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20%5Cdfrac%7B1%7D%7B2%7Dbh)
![\\ \sf\longmapsto \dfrac{1}{2}(4x)(3x)](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20%5Cdfrac%7B1%7D%7B2%7D%284x%29%283x%29)
![\\ \sf\longmapsto \dfrac{1}{2}(12x^2)](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20%5Cdfrac%7B1%7D%7B2%7D%2812x%5E2%29)
![\\ \sf\longmapsto 6x^2](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%206x%5E2)
There is only one option containing 6x^2 i.e Option D.
Hence without calculating further
Option D is correct
3/4 of 3600..." of " means multiply
3/4 * 3600 =
10800/4 =
2700 <==