The numbers are "x" and "y", therefore, we suggest this system of equations:
x-y=14
xy=1800
We can solve by substitution method.
x=14+y
(14+y)y=1800
14y+y²=1800
y²+14y-1800=0
Now, we solve this square equation:
y=[-14⁺₋√(196+7200)] / 2=(-14⁺₋86)/2
We have two solutions:
y₁=(-14-86)/2=-50 ⇒x=14+y=14-50=-36
y₂=(-14+86)/2=36 ⇒x=14+y=14+36=50
Answer: we have two solutions:
Solution1: The first number is -36 and the other number is -50
Soltuion2: The first number is 50 and the other number is 36
Are we assuming there are the same number of students total in both classes for both semesters
1st semester 2 art: 7 gym
2nd semester 5 art: 4 gym so 75 =5/9 75/5=15 for every 1 in the ratio is is = 15 students so 1st semester 30 art 105 gym 2nd semester 75 art 60 gym both have 135 total in both classes both semesters hope i helped -J
Answer:
Step-by-step expl(100%). New Price (Pay 80%). Expression. Discount Amount. (20% Off) ... 100. 10.20x50-$10. 50-10=40. 50-(0.20 x 50). SO-10. 1140. 50. 0.20 x 28 = $5.60.
Answer:
First Graph:
Slope = - 4/5
Point-Slope Form: y - 3 = - 4/5 (x + 2)
Point: (-2, 3)
Second graph:
Slope = 4
Point-Slope Form: y + 6 = 4 (x + 1)
Point: (-1, -6)
Step-by-step explanation:
First graph has two points: (-2, 3) & (8, -5)
Use the two points to find the slope using the Slope-Formula
Slope-Formula: y2 - y1/x2 - x1
m = slope
m = - 5 - 3/8 - - 2
m = - 8/10
m = - 4/5
The slope of the line will be - 4/5
Now for Point-Slope Form, we’ll need to use the two points with the slope to identify the Point-Slope Form of the graph
Two points: (-2, 3) & (8, -5)
Slope: - 4/5
Point-Slope Formula: y - y1 = m (x - x1)
Point-Slope Form: y - 3 = - 4/5 (x + 2)
The point will be: (-2, 3)
