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Zanzabum
2 years ago
7

F(x)=4x^2+2x-6.find the range of function f(x).

Mathematics
1 answer:
Triss [41]2 years ago
4 0

Answer:

y ≥ 6.25

Step-by-step explanation:

f(x)=4x²+2x-6

positive (4) leading coefficient, curve is left up and right up

x coordinate of vertex: x = - b/2a = - 2/2*4 = - 1/4  (-0.25)

y = 4*(-1/4)² + 2*(-1/4) - 6 = -6 1/4  (-6.25)  ... extreme

range: y ≥ - 6.25    [-6.25,∞)

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Julia is standing 2 feet away from a lamppost. If she casts a shadow of 5 feet and the light makes a 20° angle relative to the g
givi [52]

Answer:

2.5477 feet

Step-by-step explanation:

Refer the image attached to understand my solution.

BC = height of lamppost.

DE = Julia

AD = shadow of Julia

BD = 2 feet.      AD = 5 feet

BA = BD + AD

       = 2 + 5 = 7 feet

In ΔABC

tan 20° = \frac{BC}{BA}  = \frac{BC}{7}

BC = 7 * tan 20°

BC = 2.5477 feet

SO the height of lamppost = 2.5477 feet

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3 years ago
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n200080 [17]

Answer:

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Step-by-step explanation:

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3 years ago
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Need help i dont understand this.
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The range is 14.0 million acres (option D, 4th option).


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6 0
3 years ago
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At parks elementary hot sandwiches are served on Mondays and Thursdays tacos on Tuesdays and salads on Wednesday’s if pizza was
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