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Vilka [71]
2 years ago
7

Identify a solution of the equation: log2x+log(x−5)=2

Mathematics
1 answer:
Harrizon [31]2 years ago
6 0

Answer:

  • 3.x= 10

Step-by-step explanation:

  • log 2x + log (x - 5) = 2
  • log (2x(x - 5)) = 2
  • 2x(x - 5) = 10²
  • 2(x² - 5x) = 100
  • x² - 5x - 50 = 0
  • x² + 5x - 10x - 50 = 0
  • x(x + 5) - 10(x + 5) = 0
  • (x - 10)(x + 5) = 0
  • x = 10
  • x = -5, this root is discounted as log should be positive.

Correct choice is 3.

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3. Consider the following information.P(Z) = 0.73P(A) = 0.25P(Z and A) = 0.15Part A: Determine P(Z|A).Part B: Determine P(AZ).I
krok68 [10]

Ok, so:

For Part A, we have: P(Z|A)=P(Z and A)/P(A)

And if we replace, we got:

P(Z|A) = (0.15)/(0.25) and this is equal to 0.6.

For Part B, we have: P(A|Z)=P(Z and A)/P(Z)

P(A|Z) = (0.15)/(0.73) and this is equal to 0.205.

4 0
1 year ago
Can someone help me with please??​
OverLord2011 [107]

Answer:

The angle is 35 degrees

Step-by-step explanation:

Since this is an isosceles triangle, we know that the two remaining angles must be the same. Set those angles equal to x. Now, we can solve for x by adding those two angles to the third angle and setting equal to 180.

x + x + 110 = 180

2x + 110 = 180

2x = 70

x = 35

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3 years ago
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The correct answer is 10/9 or 1.1. Hope this helps.
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Step-by-step explanation:

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