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charle [14.2K]
3 years ago
5

What value of g makes the equation true? –11 –3 3 11

Mathematics
1 answer:
gavmur [86]3 years ago
4 0

Answer:

3

Step-by-step explanation:

(x + 7)(x - 4)

= x · x + x · (-4) + 7 · x + 7 · (-4)

= x² - 4x + 7x - 28

= x² + 3x - 28

Hence, g = 3.

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Let x be the amount of time (in minutes) that a particular San Francisco commuter must wait for a BART train. Suppose that the d
larisa [96]

Answer:

a) P(X

P(X>14) = 1-P(X

b) P(7< X

c) We want to find a value c who satisfy this condition:

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And using the cumulative distribution function we have this:

P(x

And solving for c we got:

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Step-by-step explanation:

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X \sim Unif (a=0, b =20)

Part a

We want this probability:

P(X

And for this case we can use the cumulative distribution function given by:

F(x) = \frac{x-a}{b-a} = \frac{x-0}{20-0}= \frac{x}{20}

And using the cumulative distribution function we got:

P(X

For the probability P(X>14) if we use the cumulative distribution function and the complement rule we got:

P(X>14) = 1-P(X

Part b

We want this probability:

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And using the cdf we got:

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Part c

We want to find a value c who satisfy this condition:

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3 0
2 years ago
The functions below represent the amounts of water released from two reservoirs over x weeks:
solong [7]

Answer:

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  • Reservoir A releases the same amount of water as Reservoir B over 1 week

Step-by-step explanation:

<u>Given</u>:

  f(x) = x^2 -7x +5

  g(x) = 3x^2 -6x +2

  h(x) = f(x) -g(x)

<u>Find</u>:

  h(x)

  h(1)

<u>Solution</u>:

The expression for h(x) is found by evaluating its definition:

  h(x) = (x^2 -7x +5) -(3x^2 -6x +2)

  h(x) = x^2(1 -3) +x(-7 -(-6)) +(5 -2)

  h(x) = -2x^2 -x +3

Then h(1) is found by substituting 1 for x:

  h(1) = -2(1^2) -(1) +3 = -2 -1 +3

  h(1) = 0 . . . . difference in release amounts after 1 week is 0

The true statements are ...

  • h(x) = -2x^2 -x +3
  • Reservoir A releases the same amount of water as Reservoir B over 1 week
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3 years ago
BRAINLIEST!!! solve for x <br> 3(2x-4)-4x+7&lt;9
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6 0
3 years ago
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