Answer:
x = 9 , y =3
Step-by-step explanation:
-3x + y = 0 ---- 1
2x -2y = -12 -----2
By elimination method:
let's first eliminate x
we can do that by making x equal in both equations
multiply equation 1 by 2 ( because 2 is the coefficient of x in equation 2 and remember we want to equate both equations)
multiply equation 2 by -3 ( because -3 is the coefficient of x in equation 2 and remember we want to equate them both)
-3x + y = 0 ×2
2x -2y = -12 ×-3
-6x + 2y = 0 ----3
-6x + 6y = 36 -----4
subtract equation 4 from 3
that will give
0-4y = -36
which is
-4y = -36
divide both sides by coefficient of y which is-4
(-4y) ÷ (-4) = (-36)÷(-4)
answer : y= 9
substitute 9 for y in equation 1
-3x + y = 0
-3x + 9 = 0
subtract 9 from both sides
-3x +9-9= 0-9
-3x = -9
divide both sides by coefficient of x which is-3
(-3x)÷(-3) = (-9÷-3)
x = 3
Answer:
The x-intercepts are
(x1,y1)=(4,0)
(x2,y2)=(6,0)
Step-by-step explanation:
we know that
The equation of the given parabola is
we have
the vertex is the point (5,-4)
substitute
The y-intercept is the point (0,96)
substitute and solve for a
The equation of the vertical parabola is equal to
Find the x-intercepts
Remember that
The x-intercepts are the values of x when the value of y is equal to zero
For y=0
Simplify
Rewrite
square root both sides
therefore
The x-intercepts are
(x1,y1)=(4,0)
(x2,y2)=(6,0)
Hello!
Advantages of a capitalist economic system:
• Economic growing and expansion.
• Consumer choice (The consumers get to choose what to consume, which leads to better products and services).
• Efficiency of economics (Goods and services based on demand)
Disadvantages of a capitalist economic system:
• Inequality (A small group of people hold most of the wealth)
• There can be a monopoly of power (a specific enterprise is the only supplier of particular commodity)
• Unemployment
• Social benefit ignored. A free market will ignore externalities.
No, I feel the disadvantages outweigh the advantages, because there are more of them.
Answer:
1300
Step-by-step explanation:
Let the amount put in the station's tank = x
4(400 + x) = 8100 - x Remove the brackets
1600 + 4x = 8100 - x Subtract 1600 from both sides
1600 - 1600 + 4x = 8100 - 1600 - x Do the subtraction
4x = 6500 - x Add x to both sides
4x + x = 6500 - x + x
5x = 6500 Divide by 5
5x/5 = 6500/5
x = 1300
1300 gallons were added to the station's tank.
Answer:
- 37
Step-by-step explanation:
5 • 2 • ( - 4 ) + 6 ÷ 2
= 5 • 2 • ( - 4 ) + [ 6 ÷ 2 ]
= 10 • ( - 4 ) + 3
= - 40 + 3
= - 37
