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Akimi4 [234]
3 years ago
6

Find the sum of 34x+6 and −(14)x−9

Mathematics
1 answer:
Semmy [17]3 years ago
4 0

Answer:

20x - 3

Step-by-step explanation:

<em>Finding the sum means adding the two together; combining like-terms.</em>

34x + 6 - 14x - 9

<em>34x</em><em> and </em><em>-14x</em><em> both have the variable </em><em>x</em><em> with them so we can combine those terms. Since </em><em>6</em><em> and </em><em>-9</em><em> have no variables with them, we can combine them.</em>

20x - 3

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Number 20 ASAP ASAP THANK YOU
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I need help with this problem! Must explain why.
OLEGan [10]

Answer:

95°

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Find the vertex form of: y=2x^2-5x+13
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The vertex form of a quadratic function is:

 f(x) = a(x - h)² + k

The coordinate (h, k) represents a parabola's vertex.

In order to convert a quadratic function in standard form to the vertex form, we can complete the square.

y = 2x² - 5x + 13

Move the constant, 13, to the other side of the equation by subtracting it from both sides of the equation.

y - 13 = 2x² - 5x

Factor out 2 on the right side of the equation.

y - 13 = 2(x² - 2.5x)

Add (b/2)² to both sides of the equation, but remember that since we factored 2 out on the right side of the equation we have to multiply (b/2)² by 2 again on the left side.

y - 13 + 2(2.5/2)² = 2(x² - 2.5x + (2.5/2)²)

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Add the constants on the left and factor the expression on the right to a perfect square.

y - 9.875 = 2(x - 1.25)²

Now, we need y to be by itself again so add 9.875 back to both sides of the equation to move it back to the right side.

y = 2(x - 1.25)² + 9.875

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y = 2(x - 5/4)² + 79/8
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3 years ago
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