Answer:
Option 1 and option 5.
Step-by-step explanation:
The given graph is a downward parabola. It means the value of function increases and after reaching its maximum point the value of function decreases.
Scenario 1 : The height of a stone shot by a catapult reaches a maximum height and then falls on the ground.
The graph of this scenario is a downward parabola. Therefore option 1 is correct.
Scenario 2 : The speed of a car increases constantly by 10 miles per hour.
The graph of this scenario is a straight line with slope 10. Therefore option 2 is incorrect.
Scenario 3 : The radioactivity of a substance decreases by 10% every year.
The graph of this scenario is an decreasing curve which represents an exponential function. Therefore option 3 is incorrect.
Scenario 4 : The amount of money in an account decreases for a few months and then increases.
The graph of this scenario is a upward parabola. Therefore option 4 is incorrect.
Scenario 5 : The sale of product increases at first and then decreases.
The graph of this scenario is a downward parabola. Therefore option 5 is correct.
Therefore, the correct options are 1 and 5.
Answer:
adding the two equations together
(1.5,8)
Step-by-step explanation:
8x=12
x=1.5
y=8
Answer:
The value of x is -2 and 2.
Step-by-step explanation:
When solve an expression, you have to make the expression equals to 0 by moving all the terms to one side :
x² - 3x - 1 = -3x + 3
x² - 3x - 1 + 3x - 3 = 0
x² - 4 = 0
Next, you have to factorize and solve it :
x² - 4 = 0
x² + 2x - 2x - 4 = 0
x(x + 2) - 2(x + 2) = 0
(x + 2)(x - 2) = 0
x + 2 = 0
x = -2
x - 2 = 0
x = 2
Answer:
Step-by-step explanation:
Can you redo the picture
We have the vertex (-4, -1), therefore we have:
