Answer:
Adult’s ticket = $ 18
Child’s ticket = $ 16
Step-by-step explanation:
Adults: x
Children: y
(3x + 4y = 118) * (2) = 6x + 8y = 236
(2x + 3y = 84) * (-3) = -6x - 9y = -252
Add both equations:
-y = - 16
y = 16
3x + 4(16) = 118
3X + 64 = 118
3X = 118 - 64
X = 54/3=18
Answer: If a solution results in zero when subsitituted into the denominator of the equation, the solution is extraneous.
This is because you obtained the solution from a simplified version of the original equation, but you have to check if the solution obtained is a real solution of the original equation
In the case that when you substitute the solution in the original version the denominator becomes zero, this solution must be rejected, because the division by zero is not defined.
Ah okay so in differential equations you usually want the top variable isolated. To do this, multiply by dt and 2u and you get

Now just integrate both sides. The integral of 2u with respect to u is u². The integral of (2t + sec²(t) with respect to t is t² + ∫sec²(t)dt. The last part is just tan(x) because d/dt(tan(t)) is sec²(t) so just integrating gets us back. Now we have

Where c and k are arbitrary constants. Subtracting c from k and you get

Where b is another constant. To find b, just plug in u(0) = -1 where u is -1 and t is 0. This becomes

tan(0) is 0 so b = 1. Take the plus or minus square root on both sides and you finally get

But Brainly didn't let me do but juat remember there is a plus or minus square root on the left.
If Utah is angle a and Colorado is angle b and Arizona is angle c and New Mexico is angle d Angle a and d are vertical angles angle b and c are vertical angles
Answer:
Step-by-step explanation:
When you go shopping for anything, you know that the more of that something you buy, the more money you are going to spend. In other words, the amount of money you spend depends directly upon the amount of stuff you buy. So the number of boxes of cookies you buy is the independent variable and the amount of money you spend on the cookies is the dependent variable.