Question

1.

Answer 1

Answer:

1. $22.8 rounded to the nearest cent.

2. x = $\frac{-1}{2}$

Step-by-step explanation:

1.  If we are using a linear model.  We need to know the slope and the y intercept

y = mx + b  The y-intercept would be 15.  The slope would be how much the price of the stock increased over a period of time.  The stock increases $.75 in 4 months or $0.1875 per month.

y = .1875x + 15  If we used this equation we can see that in four months the price of a share would be 15.75.

y = .1875(4) + 15

y = 15.75  Now we will do the same thing, but for 42 months

y = mx + b

y = .1875(42) + 15

y = 22.875 Rounded to the nearest penny would be 22.88

2. 2(4x + 2) - (x -4) = 3(x+2)  Use the distributive property

8x + 4 -x + 4 = 3x + 6  Combine like terms

7x + 8 = 3x + 6  Subtract 3x from both sides

4x + 8 = 6  Subtract 8 from both sides

4x = -2  Divide both sides by 4

x = $\frac{-2}{4}$ = $\frac{-1}{2}$

Answer 2

2 = X = -1

2

2. 2(4x+2) - (x-4) = 3(x+2)

Expand tge expression

= 8x + 4 -x +4 = 3x + 6

CLT ( Combine like terms)

= 7x + 8 = 3x + 6

Rearrange the terms

7x - 3x = 6 - 8

CLT

4x = -2

Divide both sides by 4

x = -2

4

x = -1

2