Remember, parenthaees are like < and > and brackets ar like ≤ and ≥
domain is how far the x values go
x is left to right
we see they go from -3 to 5, with a filled in dot at -3 and empty dot at 5
means include -3 but not including 5
so like -3≤x<5
or in interval notation
[-3,5) is the domain
range
highest to lowest y value
range is from y=3 to y=-1
we gots full dots so we use brackets
range is [-1,3]
Domain=[-3,5)
Range=[-1,3]
B. read above and understand it
Answer:
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56
Step-by-step explanation:
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Answer:
1/5
Step-by-step explanation:
To find what fraction of the total price the battery is, we need to find out how much the battery alone is first.
Since the battery and torch together are £2.50 and the torch is £2.00, we can find the price of the battery by subtracting the total price to the price of the torch.
Battery Price = £2.50 - £2.00
Battery Price = £0.50
The fraction value of the torch is:
2.00 of 2.50 = 4/5
That then leaves us with:
0.50 of 2.50 = 1/5
To check we need to add the two fractions together.
1/5 + 4/5 = 5/5 or 1
<span>----
Solve for "x":
x + 4y = 24
x + 16 = 24
x = 8
-----------------
Solution: (8,4)</span>
Using the given information, we can say the following:
Width (W) = x
Length (L) = (2x - 4)
Area of Rectangle = L × W
Using this, we can formulate an equation for rectangle in question:
x(2x - 4) = 30
Expand and move everything to one side:
2x² - 4x - 30 = 0
Simplify by dividing everything on both sides by 2:
x² - 2x - 15 = 0
Factorise:
(x + 5)(x - 3) = 0
Set each factor equal to 0 and solve for x:
x + 5 = 0
x = -5 (a dimension cannot be negative so this is not the solution we want)
x - 3 = 0
x = 3 (this is the solution)
x = W = 3"
L = 2x - 4
L = 2(3) - 4
L = 2"
So, the length the rectangle is 2" and the width is 3"
