Answer:
A linear function is a straight line on a graph.
It uses the form y=mx+b
Step-by-step explanation:
A linear function is any function that graphs to a straight line. What this means mathematically is that the function has either one or two variables with no exponents or powers
Answer: y = - 6x + 2
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The equation of the given line is
4y + 24x = 32
Rearranging it so that it will take the slope intercept form, it becomes
4y = - 24x + 32
Dividing through by 4, it becomes
y = - 6x + 8
Comparing with the slope intercept form, slope = - 6
If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (1,-4) is - 6
To determine the intercept, we would substitute m = - 6, x = 1 and y = -4 into y = mx + c. It becomes
- 4 = - 6 × 1 + c = - 6 + c
c = - 4 + 6 = 2
The equation becomes
y = - 6x + 2
<span> 5.927 × 10<span>^-3 is your answer</span></span>
Multiply total students by 2/3 to find how many like math:
Like math = 120 x 2/3 = 240/3 = 80 total students like math
Multiply total students by 3/5 to find number of boys:
120 x 3/5 = 360/5 = 72 boys
A) number of girls = total students - boys = 120 -72 = 48 girls
B) from above 80 students like math
C) number of boys that like math = number of students that like math minus girls that like math: 80- 35 = 35 boys like math