Answer:y =ax² + bx +c
1) Point (0,7)
7 = a*0² +b*0 +c
c = 7
y=ax² + bx + 7
2) Point (1,4)
4=a*1² + b*1 + 7, ----> 4 = a +b + 7, ------> a+b= - 3
3) Point (2, 5)
5=a*2² + b*2 + 7, ----> 5=4a+2b +7,---> -2=4a+2b, ----> -1=2a + b
4) a+b= - 3, ----> b= -3 - a (substitute in the second equation)
2a+b= -1
2a - 3 - a = -1, ----> a - 3 = -1, a =2
5) a+b= - 3
2 + b = -3
b = -5
y=2x² - 5x + 7
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Step-by-step explanation:
i think the answer is 6 and how i kow is because i already did this
2(2.5-(5/6))
2(1 2/3)
3 1/3
<h3>
Answer: (-1,3)</h3>
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Explanation:
Point M is currently located at (-3, -5). Note the y coordinate is y = -5. The vertical distance from this y coordinate to y = -1 is 4 units. If we move another 4 units up from y = -1, we end up at y = 3.
What does this mean? It means that reflecting point M over the line y = -1 has it end up on (-3, 3), which I'll call point N. See the diagram below.
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Next we reflect over the line x = -2. The horizontal distance from x = -3 to x = -2 is one unit. So we move another unit to the right to end up at x = -1.
Therefore, reflecting (-3,3) over the line x = -2 will have the point land on (-1, 3)
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When we reflect over the line y = -1 first and then the line x = -2 second, we will have the point (-3, -5) move to (-3,3) and then to (-1,3) in that order.
Check out the diagram below.
Answer:
A school wanted to see how many students bought orange juice with their lunch. As a result, they sampled 100 lunch-buying students, to see how many of them bought orange juice. In a sample of 100 lunch-buying students, 25 of them bought orange juice with their lunches. If there are 1,000 students in the school that buy lunch, how many students bought orange juice with their food? 250.
Step-by-step explanation:
I'm assuming there's no visual included in the question, and that the example can be completely original.
If you wanted a ratio, you would ask what the ratio was between students that bought lunch and students that bought orange juice with their lunches (often asked in lowest terms).
- Sample included 100:25
- You want it in lowest terms. Find the lowest common denominator
- LCD = 5
- New ratio, divided by five to find lowest terms
- = 20:5
- Every 20 students, 5 of them (also 25% of them) bought orange juice with their lunches.
