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Vaselesa [24]
3 years ago
6

The line of symmetry of the parabola whose equation is y = ax2 - 4x + 3 is x = -2. What is the value of "a"?

Mathematics
1 answer:
ella [17]3 years ago
4 0
For equation
  y = ax² +bx +c
the line of symmetry is given by
  x = -b/(2a)

Filling in the given values, we have
  -2 = -(-4)/(2a)
  a = 4/(2(-2)) = -1

The value of "a" is -1.

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If 7 shirts and 4 sweaters cost $192, and 8 shirts and 7 sweaters cost $268, what is the cost of one shirt and what is the
djyliett [7]

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The cost of one shirt is $16 and the cost of one sweater is $20.

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Let the cost of one shirt be x and the cost of one shirt be y.

7x + 4y = 192 -----Equation 1

8x + 7y = 268 -----Equation 2

Equations 2-1:

8x + <em>7y</em> - 7x <em>- 4y</em> = 268 - 192

x + 3y = 76

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Subsitute x = 76-3y into Equation 1:

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17y = 340

y = 340 ÷ 17

y = 20 (The cost of one sweater is $20)

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x = 76-3y

x = 76 -3(20)

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