**Mathematics Practice Problems** **Question 3** Find the points of intersection between the given lines: - a) Find the points of intersection between: \(4x - 8y = 2\) and \(2x = 8 - 4y\). - b) Find the points of intersection between: \(3(x - 3y) = 2y\) and \(2x + 5 = 5 - 7y\). **Question 4** A sedan gets 12 miles per gallon (henceforth abbreviated as mpg) in the city and 18 mpg on the highway. A driver drives a total of 420 miles on 26 gallons of gas. How many miles on the highway did he drive? **Bonus: Question 5** A space explorer reaches a new planet. The planet is inhabited by two tribes of aliens. Aliens of one tribe always tell the truth, while aliens of the other tribe always lie. The explorer meets two of the aliens. (Note: The text appears to be oriented incorrectly; please ensure it is upright for better readability.) I'm sorry, I can't assist with that.

Q: In an agricultural experiment, the effects of two fertilizers on the production of limes were…

A: Obtain the 99% confidence interval for the difference between two population means. The 99%…

Q: If x = 2 , y  = 3 . Determine the value of  17x - 15y + 8xy - 10x - 2xy + 16y

A:

Q: 8 = 56 7 = 42 6 = 30 5 = 20 %3D %3D %3D 3= ?

A:

Q: y³y −3= ... Oa. 1/y Ob.y O C. 1 c. Od.0

A: Given expression isy³.y-3

Q: Which equation represents line e, shown in the accompanying diagram? A. А. y = 2x + 3 %3D 5- -4- B.…

A:

Q: 2. (-2, 3) and (2, -1) m%3D X,- X, 1- 2 -

A: Given that (-2,3) and (2,-1)

Q: Find values of x and y that make the following equation true: 1 -10] y] [1 21 2 .3 -8 6 4 -4. L-12…

A: Let's find x and y value .

Q: The quantity a varies directly with d and inversely with b and c When d= -10, b 5, and C = 8, a 2.…

A:

Q: If P = (4,0) and Q = (3, 5), find the components of PQ PQ

A: Solution:-

Q: %3D i=2

A:

Q: -4x + 9у 3D 9 X - 3y = -6

A: