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Ostrovityanka [42]
4 years ago
7

Find the equation of the parabola y = ax2 + bx + c that passes through the points (0, 3), (1,4), and (2, 3).

Mathematics
1 answer:
Temka [501]4 years ago
6 0
D is the correct answer

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How do I factor this problem?
MrMuchimi

Hope you could understand.

If you have any query, feel free to ask.

8 0
2 years ago
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Jane is 5 times older than her sister. In 3 years, Jane’s sister will be 1/4 her age. Find the ages now
Korolek [52]

The present age of Jane is 45 years old and present age of her sister is 9 years old

<em><u>Solution:</u></em>

Let the present age of Jane be "x"

Let the present age of her sister be "y"

<em><u>Jane is 5 times older than her sister</u></em>

present age of Jane = 5(present age of her sister)

x = 5y ---------- eqn 1

<em><u>In 3 years, Jane’s sister will be 1/4 her age</u></em>

Age of sister after 3 years = 3 + y

Age of jane after 3 years = 3 + x

Age of sister after 3 years = 1/4(age of jane after 3 years)

3 + y = \frac{1}{4}(3 + x)

Substitute eqn 1 in above equation

3 + y = \frac{1}{4}(3 + 5y)\\\\12 + 4y = 3 + 5y\\\\5y - 4y = 12 - 3\\\\y = 9

Substitute y = 9 in eqn 1

x = 5(9)

x = 45

Thus present age of Jane is 45 years old and present age of her sister is 9 years old

3 0
4 years ago
What shape can you make with a square and a triangle
Sliva [168]

Answer: dimond

Step-by-step explanation:

6 0
3 years ago
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find the three consecutive odd integers such that the sum of twice the first and three times the second is 67 more than twice th
Elenna [48]

Answer:

  23, 25, 27

Step-by-step explanation:

It can be convenient to work "consecutive integer" problems by using a variable to represent the middle one.

__

<h3>setup</h3>

Let x represent the middle integer. Then (x-2) is the first of the three odd integers, and (x+2) is the third. The given relation is ...

  2(x -2) +3x = 67 +2(x +2)

<h3>solution</h3>

  5x -4 = 2x +71 . . . . . simplify

  3x = 75 . . . . . . . . add 4-2x

  x = 25 . . . . . . . divide by 3

The three integers are 23, 25, 27.

4 0
2 years ago
Explain why 2/3 ×12 can be written as 2 × 12 ÷3
nalin [4]

Answer:

violates the rules or bedmas

Step-by-step explanation:

When doing questions like these, bedmas comes into play. althought multiplication and division are the same in terms of priority, you should do the one that comes first when reading the equation/formula left to right.

this would mean you would do 2 ÷ 3 and the answer would be multiplied by 12.

8 0
3 years ago
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