PLEASE GUYS, I NEED HELP Q1. What is the simplified form of 5(x-3y)+4(4y-x)-2(x-y)?

Q2. What is the solution set of 3-2[x+2]=6?

Q3. Which of the following is true about the row data given below 4, 7, 8, 4 and 1?

A. The median is 6
B. The mean is equal to the median
C. The mode is equal to the median
D. The range is 8

Q4. Which of the following is the slope of the line passing through the points A(1-a, b+1) and B(1+a,1-b)?

see explanation

Step-by-step explanation:

(1)

5(x - 3y) + 4(4y - x) - 2(x - y) ← distribute all 3 parenthesis

= 5x - 15y + 16y - 4x - 2x + 2y ← collect like terms

= 3y - x

(2)

3 - 2(x + 2) = 6 ( subtract 3 from both sides )

- 2(x + 2) = 3 ( divide both sides by - 2 )

x + 2 = - 1.5 ( subtract 2 from both sides )

x = - 3.5

solution set = { - 3.5 }

(3)

The median is the middle value of the data in ascending order

1  4  4  7  8 ← in ascending order

       ↑ median = 4

The mean is the sum of the values divided by the count

mean = = = 4.8

The mode is the value which occurs most often

mode = 4

Thus the mode is equal to the median → C

(4)

Calculate the slope m using the slope formula

m =

with (x₁, y₁ ) = (A(1 - a, b + 1 ) and (x₂, y₂ ) = B(1 + a, 1 - b )

m =

=

= ( cancel 2 on numerator/ denominator )

= → d

answer: 457.14

step-by-step explanation:

205 - 45 = 160

160 / .35 = 457.142857