Answer: Choice B
- vertex = (3, -4)
- y intercept = (0, 5)
- x intercepts = (1, 0) and (5, 0)
- axis of symmetry: x = 3
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Explanation:
The vertex is the lowest point for parabolas that open upward like this. The lowest point is (3, -4). If the parabola is flipped upside down, then the vertex would be the highest point.
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The y intercept is where the graph crosses the y axis. For any function, it will have at most one y intercept (some don't have any at all but the most you can have is 1 y intercept). The graph crosses the vertical y axis at (0,5). We can say in short "the y intercept is 5". The y intercept always occurs when x = 0.
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On the flip side, the x intercept always occurs when y = 0. This is where the graph crosses or touches the x axis. We have two such locations of (1,0) and (5,0). In short, we could say "the x intercepts are 1 and 5". The term "root" is another word we could use in place for "x intercept". Unlike the y intercept, we can have as many x intercepts as we want.
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The axis of symmetry is the vertical line through the parabola. It is the x coordinate of the vertex. So it's not a coincidence that the vertex is at (3,-4) and the axis of symmetry is x = 3, with those '3's repeated twice.
Answer:
<u>23.53%</u>
Step-by-step explanation:
<u>Given</u> :
- food costs = $2,000
- total food sales = $8,500
<u>Solving</u> :
- Food costs / Total Food Sales
- 2000/8500
- 4/17
- 0.2353
- <u>23.53%</u>
K = 4a + 9ab
K = a (4 + 9b)
K / (4 + 9B) = a
Lets first convert the tons to pounds.
1 ton = 2000 pounds
18 × 2000 = <span>36000
</span><span>18 tons = 36000 pounds
</span>
36000 + 42 = <span>36042
</span>36042 ÷ 3 = <span>12014
</span>
18 tons 42 pounds divided by 3 is <span>12014. </span>
Braden bought 18 pencils for $4.50.
If x represents the number of pencils purchased, and y represents the total cost, then
x=18,
y=4.50
and
point (x,y) will have coordinates (18,4.5).
Answer: (18,4.5).