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myrzilka [38]
3 years ago
11

Solve for x in the equation x2+14x+17=-96

Mathematics
1 answer:
Tanya [424]3 years ago
6 0
-1 5/8 ( negative one and five eighths )
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The answer is 0.23

Step-by-step explanation:

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B

Step-by-step explanation:

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Which inequality represents all values of x for which the quotient below is
Vika [28.1K]

Answer: -2 \le x < 5

========================================================

Explanation:

We cannot have negative numbers under the square root, if we wanted the result to be some real number.

The stuff under the square root must be 0 or larger.

This means the x+2 must be 0 or larger.

x+2 \ge 0\\\\x \ge -2

Similarly, the 5-x must be 0 or larger. But wait, we cannot have 0 in the denominator (or else we have a division by zero error), so 5-x must be larger than 0.

5-x > 0

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Combine both x \ge -2 and x < 5 to find the domain is -2 \le x < 5

--------------------------------------------------------

Visual confirmation is shown below. I used Desmos which is a free graphing app.

  • f(x) = sqrt(x+2) is in red
  • g(x) = sqrt(5-x) is in blue
  • h(x) = f(x)/g(x) is in green

The green curve is what we're after. It's between x = -2 and x = 5

We include -2, but exclude 5.

Take note of the closed endpoint at x = -2, and also the vertical asymptote at x = 5. The curve approaches this asymptote but never actually touches it. Think of an electric fence you can get closer to, but not actually touch.

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1 year ago
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The exact form is -3/2
The decimal form is -1.5
The mixed number form is -1 1/2
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3 years ago
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Strike441 [17]

Answer:

Hello! I'm sorry I couldn't get to your question sooner. I just completed this quiz!

The equation of the circle that represents the dartboard is (x-10)^2 + (y-17/3)^2 = 9/16, where the origin is the lower-left corner of the room and the unit of the radius is feet.  

The position of Sasha's dart is represented by the coordinates (10.25,5). Sash's dart does land on the dartboard.

This quiz was completed on k12, lesson 3.03.

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