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netineya [11]
3 years ago
9

Simplify.

Mathematics
1 answer:
amid [387]3 years ago
4 0

Answer:

  1. D
  2. B

Step-by-step explanation:

You may find this easier if you distribute the minus sign first.

<h3>1)</h3>

2a^2 -3ab +5b^2 -a^2 +2ab -3b^2

  = (2 -1)a^2 +(-3+2)ab +(5 -3)b^2

  = a^2 -ab +2b^2 . . . . . matches choice D

__

<h3>2)</h3>

6x -3 -2x +2

  = (6 -2)x +(-3 +2)

  = 4x -1 . . . . . matches choice B

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Write the equation for the parabola that has x− intercepts (−2,0) and (1.2,0) and y− intercept (0,−4).
schepotkina [342]

Answer: The answer is 15y+4=25(x-1.6)^2.


Step-by-step explanation:  We are to find the equation of the parabola with x-intercepts (-2,0), (1.2,0) and y-intercept (0,-4).

Therefore, axis of symmetry is

x=\dfrac{1.2+2}{2}\\\\\Rightarrow x=1.6.

Let the equation of the parabola be y=a(x-1.6)^2+k.

Substituting the points (x,y)=(0,-4) and (1.2,0) in the above equation, we find that

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and

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Solving the above two equations, we get

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y=-\dfrac{5}{3}(x-1.6)^2-\dfrac{4}{15}\\\\\Rightarrow 15y+4=-25(x-1.6)^2.

Thus, the equation of the parabola is  15y+4=25(x-1.6)^2.


3 0
4 years ago
The sum of the numerator and denominator of a fraction expressed in simplest form is 17. If 3 is added to the numerator, the val
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AleksAgata [21]

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