3 years ago

Y= -1/2(x+10)^2+14 Find the range

Mathematics

1 answer:

Andre45 [30]3 years ago

8 0

Answer:

Step-by-step explanation:

y=-1/2(x+10)^2+14

2y=-(x+10)^2+28

(x+10)^2=28-2y

L.H.S. is positive.

so 28-2y≥0

28≥2y

or 2y≤28

or y≤ 14

Range is (-∞,14]

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3 years ago

What two numbers multiply to -126 and add up to -65

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$x = \frac{-65 \± \sqrt{4225 + 504}}{2}$
$x = \frac{-65 \± \sqrt{4729}}{2}$
$x = \frac{-65 \± 68.8}{2}$
$x = \frac{-65 + 68.8}{2}$ $or$ $x = \frac{-65 - 68.8}{2}$
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- 1.9   - 1.9
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  (x, y) = (1.9, -66.9)

or

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  -66.9 + y = -65
+ 66.9 + 66.9
y = 1.9
  (x, y) = (-66.9, 1.9)

The two numbers that add up to -65 and can multiply to -126 are the numbers -66.9 and 1.9.

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