Answer:
k = -5
Step-by-step explanation:
The function f(x) passes through the points (-4,0) and (-2,2).
Therefore, the equation of the straight line is given by

⇒ 
⇒ y = x + 4
⇒ f(x) = x + 4 ......... (1)
Now, g(x) passes through the points (-4,0) and (-2,-10).
Then the equation will be

⇒ 
⇒ y = - 5x - 20 = - 5 (x + 4)
⇒ g(x) = -5 (x + 4) ....... (2)
Therefore, from equations (1) and (2) we get k = -5 (Answer)
Step-by-step explanation:
Multiply the radius by 2 to get the diameter. Multiply the result by π, or 3.14 for an estimation. That's it; you found the circumference of the circle
And then for diameter you have to Multiply the diameter by π, or 3.14. The result is the circle's circumference.
The probability that a person wins the game is 32.1%
<h3>How to illustrate the probability?</h3>
Based on the information given, the following can be depicted. It should be noted that there are 6 sides as well as 4 cards.
Therefore, the numbers on the dice i.e from 1 - 6 will be represented 4 times each. This gives a total of (4 × 6) = 24. There are also 4 cards. The total in sample space will now be:
= 24 + 4 = 28
The frequency table will be such that 28 or more has a relative frequency of 9. Therefore, the probability that a person wins the game will be:
= 9/28 = 32.1%
When you win 25% of the time, this illustrates that the number of products picked will be:
= 25% × 28
= 7 products.
The probability of participants achieving a winning score of 36 or higher in four consecutive attempts will be:
= 1/6⁴
= 1/1296
Learn more about probability on:
brainly.com/question/24756209
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Answer:
53 mins
Step-by-step explanation: