9514 1404 393
Answer:
558
Step-by-step explanation:
Let p represent the student population at Edison Jr High. Then we know ...
(4/9)p = 248 . . . . . 248 students is 4/9 of the student population
p = 248(9/4) = 558 . . . multiply the equation by 9/4
558 students attend Edison Jr. High.
Answer:
![\[3x+\frac{2}{3}\]](https://tex.z-dn.net/?f=%5C%5B3x%2B%5Cfrac%7B2%7D%7B3%7D%5C%5D)
Step-by-step explanation:
![\[f(x)=x-\frac{1}{3}\]](https://tex.z-dn.net/?f=%5C%5Bf%28x%29%3Dx-%5Cfrac%7B1%7D%7B3%7D%5C%5D)
![\[g(x)=3x+1\]](https://tex.z-dn.net/?f=%5C%5Bg%28x%29%3D3x%2B1%5C%5D)
Hence, ![\[(f o g)(x)=f(3x+1)\]](https://tex.z-dn.net/?f=%5C%5B%28f%20o%20g%29%28x%29%3Df%283x%2B1%29%5C%5D)
But, ![\[f(3x+1)=(3x+1)-\frac{1}{3}\]](https://tex.z-dn.net/?f=%5C%5Bf%283x%2B1%29%3D%283x%2B1%29-%5Cfrac%7B1%7D%7B3%7D%5C%5D)
Simplifying,
![\[f(3x+1)=3x+(1-\frac{1}{3})\]](https://tex.z-dn.net/?f=%5C%5Bf%283x%2B1%29%3D3x%2B%281-%5Cfrac%7B1%7D%7B3%7D%29%5C%5D)
= ![\[f(3x+1)=3x+(\frac{3-1}{3})\]](https://tex.z-dn.net/?f=%5C%5Bf%283x%2B1%29%3D3x%2B%28%5Cfrac%7B3-1%7D%7B3%7D%29%5C%5D)
= ![\[f(3x+1)=3x+(\frac{2}{3})\]](https://tex.z-dn.net/?f=%5C%5Bf%283x%2B1%29%3D3x%2B%28%5Cfrac%7B2%7D%7B3%7D%29%5C%5D)
Hence, ![\[(f o g)(x)=3x+(\frac{2}{3})\]](https://tex.z-dn.net/?f=%5C%5B%28f%20o%20g%29%28x%29%3D3x%2B%28%5Cfrac%7B2%7D%7B3%7D%29%5C%5D)
<u>Question 6</u>
1) 
, 
, O is the midpoint of 
, 
(given)
2) 
are right angles (perpendicular lines form right angles)
3) 
are right triangles (a triangle with a right angle is a right triangle)
4) 
(a midpoint splits a segment into two congruent parts)
5) 
(LL)
<u>Question 7</u>
1) 
are right angles), 
2) 
(reflexive property)
3) 
are right triangles (a triangle with a right angle is a right triangle)
4) 
(LL)
5) 
(CPCTC)
<u>Question 8</u>
1) 
, point D bisects 
(given)
2) 
are right angles (perpendicular lines form right angles)
3) are right triangles (a triangle with a right angle is a right triangle)
4) 
(definition of a bisector)
5) (reflexive property)
6) (LL)
7) 
(CPCTC)
Eight point six two is the answer
Question 1 true not false
