Answer: The amount of fencing needed can be expressed as 6x + 6 ft and, the cost of fencing can be expressed as Cost = 18x + 18
Step-by-step explanation: The dimensions of the rectangular garden are given as
Length = 2x + 3
Width = x
The amount of fencing that he would need is simply the total measurement all around the rectangular garden, that is, the perimeter. The perimeter of a rectangle is given as follows;
Perimeter = 2(L + W)
With the dimensions already provided we can now substitute for the values
Perimeter = 2(2x + 3 + x)
Perimeter = 2(3x + 3)
Perimeter = 6x + 6
Therefore the amount of fencing needed can be written out as,
6x + 6 ft
If however, fencing costs $3 per foot, then the cost of the entire fencing can be expressed as
Cost = 3(6x + 6)
Cost = 18x + 18
Answer:
y = (1/2)x + 2
Step-by-step explanation:
Find the slope:
Take the rise over run to find this- For every unit it goes up, it goes two units across, so it will be (1/2)
Find the y-intercept:
This is the value of y where the line intersects the y-axis- (0,2), so 2
Substitute these values in for m and b:
y = mx + b
y = (1/2)x + 2
Hope that helps! :)
Answer:
sum of two even numbers will always be even. conjecture just means to make a generalization based on patterns
Answer:
The Independent Value is the Amount of Money he has
The Dependent Value is the amount of Times he can Ride the Trolley
Step-by-step explanation:
This is because the cost is taken into account for the amount of times he can ride the trolley but the amount of money he has is not reliant or controlled by another piece of information.
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Answer:
x = -6
Step-by-step explanation:
The zero is where the graph crosses the line y=0 (the x-axis). It is also called the x-intercept.
That point is (-6, 0). The x-value there is -6.
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Some folks like the x-value only; others like the ordered pair. Of course the y-value in the ordered pair is 0, which is what makes it a zero of the function.