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andriy [413]
3 years ago
12

Consider the parabola given by the equation: f(x) = 2x2 + 14.0 – 4

Mathematics
1 answer:
Softa [21]3 years ago
5 0

Answer:

Step-by-step explanation:

f(x)  = 2x² + 14x - 4

= 2(x² + 7x) - 4

= 2(x² +7x + 3.5²) - 2(3.5²) - 4

= 2(x+3.5)² - 28.5

vertex (3.5, -28.5) = (7/2, -57/2)

The vertical intercept is the y-intercept, i.e., f(0) = -4.

The x-intercepts are the values of x for which y=0.

2x² + 14x - 4  = 0

x = [-14±√(14²-4(2)(-4))]/[2(2)] = [-7±√57]/2 ≅ -7.27, 0.27

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2.9

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29 is divided by 10 answer is 2.9

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3 years ago
Ramona went out with her 3 sisters, they spent $58 plus
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<h2>Problem:</h2>

Ramona went out with her 3 sisters, they spent $58 plus 9% tax on their meal. They also left 15% tip. If they divided up the bill evenly, how much did each of them spend?

<h2>Solution:</h2>

\frac{58 + 58(9\% + 15\%)}{3}

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= 23.97

<h2>Answer:</h2>

<u>E</u><u>a</u><u>c</u><u>h</u><u> </u><u>o</u><u>f</u><u> </u><u>t</u><u>h</u><u>e</u><u>m</u><u> </u><u>d</u><u>i</u><u>d</u><u> </u><u>s</u><u>p</u><u>e</u><u>n</u><u>d</u><u> </u><u>$</u><u>2</u><u>3</u><u>.</u><u>9</u><u>7</u>

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