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Answer:
As x approaches negative infinity, p(x) approaches positive infinity and q(x) approaches negative infinity.
Step-by-step explanation:
The order of the polynomial and the sign of the leading coefficient will let us find the correct answer easily,
If you get a negative number (such as negative infinity) and you take it to an odd power, (for example 3), you will still get a negative number.
As q(x) has a positive leading coefficient, this means that as x approaches negative infinity, q(x) will approach too negative infinity.
Since p(x) has an odd degree, but negative leading coefficient,
(-)*(-) = +
And this means that p(x) approaches positive infinity
Given, y varies directly as x
So,
![y=c\cdot x](https://tex.z-dn.net/?f=y%3Dc%5Ccdot%20x)
Where c is a constant
When y equals 5 when x is 8
So,
![\begin{gathered} 5=c\cdot8 \\ c=\frac{5}{8} \\ \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%205%3Dc%5Ccdot8%20%5C%5C%20c%3D%5Cfrac%7B5%7D%7B8%7D%20%5C%5C%20%20%5Cend%7Bgathered%7D)
So, the relation between y and x
![y=\frac{5}{8}x](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B5%7D%7B8%7Dx)
now , when x = 9
Substitute with x to find y
![y=\frac{5}{8}\cdot9=\frac{45}{8}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B5%7D%7B8%7D%5Ccdot9%3D%5Cfrac%7B45%7D%7B8%7D)
So, the answer is option 2. y = 45/8
Answer:
1. (-125 a - 5.75) x + b c (605 x - 550 x^2) + 10.75
2. -125 a x + x (-550 b c x + 605 b c - 5.75) + 10.75
3. 0.25 (-500 a x - 220 b c (10 x - 11) x - 23 x + 43)
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
the side length of the largest square is x
2x-1=3x-8
-x=-7
x=7