Answer:
y=-5/2x-1
Step-by-step explanation:
change the equation to slope intercept form
y=-5/2x+6
graph the point (-2, 4)
use the slope of the equation to find the y intercept
y intercept = -1
write equation of the parallel line using the same slope of the first line
-5/2x
and the y intercept of the new parallel line -1
y=-5/2x-1
The inequalities that are given in this item are given below,
y < 5x - 1
y ≥ -3x +4
We dropped the inequalities sign to solve for the values of x and y for the intersection.
y = 5x - 1
y = 3x + 4
Substituting the y from the first equation to the y of the second equation,
5x - 1 = 3x + 4
2x = 5
x = 5/2
Substituting for y,
y = (5)(5/2) - 1
y = 25/2 - 1 = 11.5
The intersection is (5/2, 11.5)
The solutions of the system of inequalities lie in the 3rd and 4th quadrants.
The fraction of the red haired students are boys will be 2 / 5.
<h3>What is a fraction number?</h3>
A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.
The dual bar chart shows the hair colour of boys and girls in a year group.
The total number of the boys and girl will be
Total = 6 + 9
Total = 15
Then the fraction of the red haired students are boys will be
⇒ 6 / 15
⇒ 2 / 5
More about the fraction number link is given below.
brainly.com/question/78672
#SPJ1
21
Step-by-step explanation:
so you add 7 by 20 then answer ×I =
Answer:
x= 4/9
Step-by-step explanation:
-1/(2x) + 1/8 = -1/(3x) - 1/4
-1/(2x)+1(3x)= - 1/4 -1/8
-3/(6x)+2(6x) = -2/8 -1/8
- 1/(6x) = - 3/8
-1*8 = -3*6x
8=18x
x= 8/18= 4/9
Check:
-1/(2*4/9) + 1/8 = -1/(3*4/9) - 1/4
- 1(8/9) + 1/8 = - 1/(4/3)-1/4
-9/8+1/8 = - 3/4-1/4
-1 = -1
