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Vlad1618 [11]
3 years ago
9

What is the value of x ?

Mathematics
1 answer:
valina [46]3 years ago
4 0

Answer:

The value of x = 9

Step-by-step explanation:

∵ The figure has right angle and a line ⊥ from the right angle to the hypotenuse

∴ There is a relation between the ⊥ line and the two parts of the hypotenuse

∴ (⊥)² = multiplication of the two parts of the hypotenuse

∴ (6)²= 4 × x

∴ 36 = 4 × x

∴ x = 36/4 = 9

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Prove that the equation <br> x^3 + x + 3 = 0 <br> has exactly one real root on the interval [-2,-1].
maw [93]

Answer:

  • the value of the function changes sign in the interval
  • the function is monotonic in the interval

Step-by-step explanation:

All polynomial functions are continuous, so we know from the intermediate value theorem that if the expression on the left changes sign in the interval [-2, 1] then there will be a zero in that interval. If the function is monotonic in the interval, there can only be one zero.

a) For f(x) = x^3 +x +3 = (x^2 +1)x +3, the values at the ends of the interval are ...

  f(-2) = (4+1)(-2) +3 = -7

  f(-1) = (1 +1)(-1) +3 = 1

The function value goes from -7 to +1 in the interval, so there exists at least one root in that interval.

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b) The derivative of the function is ...

  f'(x) = 3x^2 +1

This is positive for any x, so is positive in the interval [-2, -1]. That is, the function is continuously increasing in that interval, so cannot have more than one crossing of the x-axis. There is exactly one root in the interval [-2, -1].

8 0
3 years ago
Coins as percents of $1. Can you help me with question 1,2,3,4,5,6,7? They are NOT WORD PROBLEMS!
Bezzdna [24]
1.
a)1/100
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For the equation 8x + 2y = 16 What is the slope? What is the y-intercept (write as an ordered pair)? What is the x-intercept (wr
LiRa [457]

Answer:

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Step-by-step explanation:

Let us rewrite the equation in slope intercept form, y=mx+b, where m is the slope:

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Therefore, -4 is the slope.

The x intercept can be found if we substitute 0 into the y:

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The y intercept can be found if we substitute 0 into the x:

2y= -8*0 +16

2y=0+16

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<em>I hope this helps! :)</em>

6 0
3 years ago
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sineoko [7]
Answer is 291 minutes of an hour
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Step by step
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12:00 to 4:15 is 255 minutes
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3 years ago
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Dominik [7]

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4 years ago
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