Answer:
Option D. x ≥ -4
Step-by-step explanation:
____________
I honestly don’t understand
Answer:
It 6
Step-by-step explanation:
<span>Function
1:
Number of Weeks (x) Amount Remaining (dollars) (y)
1 30
2 24
3 18
4
12
You find the rate of weekley rate of change by calculating the difference of the amont remaing between two weeks:
24 - 30 = - 6
18 - 24 = - 6
12 - 18 = - 6
As you see the rate of change is constant: - 6 dollars per week.
The equation shows the relationship between the amount of money, y,
remaining in Ricky's account and the number of weeks, x:
Function 2: y =
–7x + 30 Which statement states and explains which function shows a
greater rate of change?
The rate of change is the slope of the linear function, and this is the coefficient of the independent variable, x. Then the rate of change is - 7 dollar per week. Now you know that the two rates are constant and that the second function shows a steeper decreasing.
</span>
Answer:
- dimensions: 12 ft by 5 ft
- area: 60 ft²
Step-by-step explanation:
Let x represent the shorter dimension in feet. Then the longer one is x+7 and the Pythagorean theorem tells us the relation of these to the diagonal is ...
x² + (x+7)² = 13²
2x² +14x + 49 = 169 . . . . eliminate parentheses
x² +7x -60 = 0 . . . . . subtract 169 and divide by 2
(x +12)(x -5) = 0 . . . . factor the equation
x = -12 or +5 . . . . . . . only the positive value of x is useful here.
The short dimension is 5 ft, so the long dimension is 12 ft. The area is their product, 60 ft².
_____
<em>Comment on finding the area</em>
The quadratic equation above can be rearranged and factored as ...
x(x +7) = 60
Since the dimensions of the garden are x and (x+7), this product is the garden's area. This equation tells us the area is 60. We don't actually have to find the dimensions.
