Question
Consider this system of equations. Which shows the second equation written in slope-intercept form?


A. 
B. 
C. 
D. 
Answer:
B. 
Step-by-step explanation:
Given
Equation 1: 
Equation 2: 
Required:
Equivalent of equation 2
To get an equivalent of equation 2 (in slope intercept form), first we have to simplify equation 2

Open the bracket


Simplify fraction

Divide through by 2


Re-arrange

The next step is to compare each of option A through D with 
A.
is not equal to 
We check the next available option
B.
is equal to 
This option is equivalent to the second equation in slope-intercept form.
We check further if there are more equivalent options
C.

Convert fraction to decimal

This is not equal to 
D.

Convert fraction to decimal

This is not equal to 
Hence, the only equation that is equivalent to the second equation written in slope intercept form is Option B
<span>Given the
table that shows the hair lengths y (in inches) of your friend and her cousin in different months x.
Month Friends Hair(in) Cousins Hair(in)
3 4 7
8 6.5 9.
To solve for the
cousins hair, recall that the equation of a line is given by
y = mx + c
From the table,
7 = 3m + c . . . (1)
9 = 8m + c . . . (2)
(1) - (2) ⇒ -2 = -5m

Substituting for m into equation (1) gives:

Therefore, the equation representing the growth of the cousin's hair is given by y = 1.2x + 5.8
</span>
1) The outcomes for rolling two dice, the sample space, is as follows:
(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)
There are 36 outcomes in the sample space.
2) The ways to roll an odd sum when rolling two dice are:
(1, 2), (1, 4), (1, 6), (2, 1), (2, 3), (2, 5), (3, 2), (3, 4), (3, 6), (4, 1), (4, 3), (4, 5), (5, 2), (5, 4), (5, 6), (6, 1), (6, 3), (6, 5). There are 18 outcomes in this event.
3) The probability of rolling an odd sum is 18/36 = 1/2 = 0.5