(fg)(x)=f(g(x))
So all you have to do is plug the g(x) in
3(3x^2)+9=f(x)
9x^2+9=f(x)
Answer:
Find Radius using distance formula.
![radius = \sqrt{(8 -- 7)^2 +(7--1)^2} \\](https://tex.z-dn.net/?f=radius%20%3D%20%5Csqrt%7B%288%20--%207%29%5E2%20%2B%287--1%29%5E2%7D%20%5C%5C)
=![\sqrt{15^2 + 8^2} = \sqrt{225 + 64 } =\sqrt{289} = 17 units](https://tex.z-dn.net/?f=%5Csqrt%7B15%5E2%20%2B%208%5E2%7D%20%3D%20%5Csqrt%7B225%20%2B%2064%20%7D%20%20%3D%5Csqrt%7B289%7D%20%3D%2017%20units)
Since the point (-15, y) lies on the circle. The distance between (-7, -1) and
(-15, y ) will be 17 units.
So again using distance formula we will find y.
![radius = \sqrt{(-7 --15)^2 + (-1-y)^2} \\\\17 = \sqrt{8^2 + (y+1)^2}\\\\squaring \ both \ sides \\\\289 = 64 + (y+1)^2\\\\289-64=(y+1)^2\\\\225 = (y+1)^2\\\\taking \ squaring \ root\\\\15 = y+1\\\\y=14](https://tex.z-dn.net/?f=radius%20%3D%20%5Csqrt%7B%28-7%20--15%29%5E2%20%2B%20%28-1-y%29%5E2%7D%20%5C%5C%5C%5C17%20%3D%20%5Csqrt%7B8%5E2%20%2B%20%28y%2B1%29%5E2%7D%5C%5C%5C%5Csquaring%20%5C%20both%20%5C%20sides%20%5C%5C%5C%5C289%20%3D%2064%20%2B%20%28y%2B1%29%5E2%5C%5C%5C%5C289-64%3D%28y%2B1%29%5E2%5C%5C%5C%5C225%20%3D%20%28y%2B1%29%5E2%5C%5C%5C%5Ctaking%20%5C%20squaring%20%5C%20root%5C%5C%5C%5C15%20%3D%20y%2B1%5C%5C%5C%5Cy%3D14)
point (-15, 14)
Answer:
no.
Step-by-step explanation:
let's use apples for this example. if you have 3/2 of an apple that means you actually have one full apple and one apple cut in half since 3/2 is also equal to 1 and 1/2. but 2/3, on the other hand, means you have 2 of 3 sections of 1 apple.
Answer:
m<0
Step-by-step explanation:
-5/3>m- 5/3+ 2/4m
Simplify both sides of the inequality.
-5/3>5/3m+-5/3
Flip the equation
5/3m+-5/3< -5/3
Add 5/3 to both sides
5/3m + -5/3 +5/3< -5/3 + 5/3
5/3m<0
Multiplying both sides by 3/5
(3/5)×(5/3m)<(3/5)×(0)
m<0
Answer: ![x>40](https://tex.z-dn.net/?f=x%3E40)
Step-by-step explanation:
For this exercise it is important to remember the Multiplication property of inequality. This states that:
If
and
, then ![ac>bc](https://tex.z-dn.net/?f=ac%3Ebc)
If
and
, then ![ac](https://tex.z-dn.net/?f=ac%3Cbc)
If
and
, then ![ac](https://tex.z-dn.net/?f=ac%3Cbc)
If
and
, then ![ac>bc](https://tex.z-dn.net/?f=ac%3Ebc)
Then, given the following inequality:
![\frac{x}{4}>10](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B4%7D%3E10)
You need to apply Multiplication property of inequality and multiply both sides of the inequality by 4.
Then, the solution is:
![(\frac{x}{4})(4)>(10)(4)\\\\x>40](https://tex.z-dn.net/?f=%28%5Cfrac%7Bx%7D%7B4%7D%29%284%29%3E%2810%29%284%29%5C%5C%5C%5Cx%3E40)