Answer:
x= 1.5, y= 3.5
or x= -5, y= 10
Step-by-step explanation:
Let's solve by substitution.
Label the two equations:
y= 2x² +6x -10 -----(1)
y= -x +5 -----(2)
Substitute (2) into (1):
2x² +6x -10= -x +5
2x² +6x +x -10 -5= 0
Simplify:
2x² +7x -15= 0
Factorise:
(2x -3)(x +5)= 0
2x -3= 0 or x +5= 0
2x= 3 or x= -5
x= 1.5
Now that we have found the value of x, we can find the value of y through substitution.
Substitute into (2):
y= -1.5 +5 or y= -(-5) +5
y= 3.5 or y= 10
Supplementary:
Do check out the following should you wish to learn more about solving quadratic equations!
5.7 x 10^8 is known as the scientific notation.Scientific notation is one way of showing a long number to a shorter one given with the followin choices, let's find out which one of those are correct:
=> 5.7 x 10^ 8
=> 5.7 x (10 x 10 x 10 x 10 x 10 x 10 x 10 x 10)
=> 5.7 * 100 000 000
=> 570 0000 000 or 5 hundred seventy milionThe correct answer is letter C. 570 000 000
Since the ratio of of second variable to the ratio of first variable remains constant i.e y/x =8 so, the linear relationship is direct variation.
Step-by-step explanation:
A relationship is said to have direct variation if ratio of second variable to the ratio of first variable remains constant.
A relationship is direct variation if 
where k is the constant.
Now checking if the given data is having direct variation or not.
x y
3 24
4 32
5 40
6 48
Now finding y/x
if y=24 and x = 3 then y/x = 24/3 = 8
if y=32 and x = 4 then y/x =32/4=8
if y=40 and x = 5 then y/x =40/5 =8
if y=48 and x = 6 then y/x =48/6= 8
Since the ratio of of second variable to the ratio of first variable remains constant i.e y/x =8 so, the linear relationship is direct variation.
Keywords: Direct Variation
Learn more about Direct Variation at:
#learnwithBrainly
5 (7 + 23)
(Use distributive property to solve)
1. 5*7 + 5*23
2. 35 + 115
3. 150
Area = (√3)/4 * s² (S = Any side of the Equilateral Triangle)
