Answer:
x = 26, y = 9
Step-by-step explanation:
Add the bottom equations and set them equal to 180
8x -28 = 180
8x = 208 divide each by 8
x = 26
Find the bottom right, 3(26) - 11
78 - 11 = 67
The unlabeled top left box is also equal to 67 degrees.
So 2y + 5 = 23
2y = 18
y = 9
Answer:
Definitely Option A.
When you expand the bracket of Option A... You have your equation
Which is
-1/4x + 1/2.
Answer:
Max exercises 13 hours a week, and Sasha 7.
Step-by-step explanation:
To find the number of hours each of them exercises during the week, we solve the system of equations.
In the second equation:

Replacing in the first equation:





So Sasha exercises 7 hours per week.
Max:



Max exercises 13 hours a week.
Logx (8x-3) - logx 4 = 2
logx [(8x-3)/4] = 2
x^2=(8x-3)/4
4x^2=4(8x-3)/4
4x^2=8x-3
4x^2-8x+3=8x-3-8x+3
4x^2-8x+3=0
4(4x^2-8x+3=0)
(4^2)(x^2)-8(4x)+12=0
(4x)^2-8(4x)+12=0
(4x-2)(4x-6)=0
2(4x/2-2/2)2(4x/2-6/2)=0
4(2x-1)(2x-3)=0
4(2x-1)(2x-3)/4=0/4
(2x-1)(2x-3)=0
Two options:
1) 2x-1=0
2x-1+1=0+1
2x=1
2x/2=1/2
x=1/2
2) 2x-3=0
2x-3+3=0+3
2x=3
2x/2=3/2
x=3/2
Answer: Two solutions: x=1/2 and x=3/2