Answer:

Step-by-step explanation:

Add 2 to both sides

Simplify

Subtract
from both sides

Simplify

Multiply both sides by
(reverse the inequality)

Simplify

Divide both sides by 

Divide the numbers: 

Divide the numbers: 
Apply fraction rule: 

Divide the numbers: 


Answer:
It a simultaneous equation so the solution is 2
Step-by-step explanation:
Let z = sin(x). This means z^2 = (sin(x))^2 = sin^2(x). This allows us to go from the equation you're given to this equation: 7z^2 - 14z + 2 = -5
That turns into 7z^2 - 14z + 7 = 0 after adding 5 to both sides. Use the quadratic formula to solve for z. The only solution is z = 1 (see attached image). Since we made z = sin(x), this means sin(x) = 1. All solutions to this equation will be in the form x = (pi/2) + 2pi*n, which is the radian form of the solution set. If you need the degree form, then it would be x = 90 + 360*n
The 2pi*n (or 360*n) part ensures we get every angle coterminal to pi/2 radians (90 degrees), which captures the entire solution set.
Note: The variable n can be any integer.
Answer:
Jackson spent $59.48 altogether
Step-by-step explanation:
15.98+19= 34.98
34.98+24.50= 59.48