Answer:

Step-by-step explanation:

→ Find the LCM of the denominators (2,4 and 8)
LCM = 8
→ Multiply the whole equation by 8 to get rid of the fractions
4x + 6 = 7
→ Minus 6 from both sides to isolate 4x
4x = 1
→ Divide both sides by 4 to isolate x

Answer:
x = 21°
y = 29°
Step-by-step explanation:
a) Solving for x
Note that:
(3x - 3)° and 60° are Alternate interior angles, and alternate interior angles are equal to each other, hence:
3x - 3 = 60° (Alternate interior angles)
Add 3 to both sides
3x - 3 +3 = 60 + 3
3x = 63°
x = 63°/3
x = 21°
b) Solving for y
Notes that:
(3x - 3)° and (4y + 4)° are Consecutive interior angles and the sum consecutive interior angles is 180°
3x - 3 + 4y + 4 = 180°
3x + 4y - 3 + 4 = 180°
3x + 4y + 1 = 180°
Note that x = 21
Hence
3(21) + 4y + 1 = 180°
63 + 1 + 4y = 180°
64 + 4y = 180°
Subtract 64 from both sides
64 - 64 + 4y = 180° - 64
4y = 116°
y = 116/4
y => 29°
The inverse of this function is f(x) = 2x - 12.
You can find the inverse of any function by switching the f(x) and x values in the equation. Then you can solve for the new f(x) value. The result is your inverse function. The work for this one is below.
f(x) = 1/2x + 6 ----> switch f(x) and x
x = 1/2f(x) + 6 ----> subtract 6
x - 6 = 1/2f(x) ----> multiply by 2
2x - 12 = f(x) ----> change the order for consistency.
f(x) = 2x - 12
Answer:
7/8 is larger than 5/6
Step-by-step explanation:
If you divide the numerator by the denominator of each given fraction:
7/8 = 0.875
5/6 = 0.833
We can easily see that 0.875 > 0.833.
Therefore, 7/8 is larger than 5/6.