Answer: k = 4
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Explanation:
The piecewise function is essentially two different functions joined together. In this case,
h(x) = kx if 0 <= x < 1
OR
h(x) = x+3 if 1 <= x <= 5
The value of x determines which piece we use.
The two pieces will join together to be continuous only if the y value is the same for x = 1.
Plug x = 1 into the first piece and we get
h(x) = k*x
h(1) = k*1
h(1) = k
Do the same for the second piece
h(x) = x+3
h(1) = 1+3
h(1) = 4
Set the two results (k and 4) equal to each other and we get k = 4.
1/6 because the opposite of multiplying is dividing and dividing 6 is equal to multiplying it by the reciprocal, which is 1/6
57.50 - 8 = 49.50 more she needs to save
49.50 / 4.50 = 11
she needs to save for 11 weeks
Answer:
$3.25
Step-by-step explanation:
In an ordinary deck of cards, we will notice that there are 52 cards.
However, we have 4 suits and 13 cards in each one making a total of 52, right?.
So, the probability that a person draws two cards and they will be of the same suit is:
Given that; A person bets 1 dollar to b dollars;
To make the bet fair is;
multiply both sides by 17
4b = 13
b = 13/4
b = 3.25
Therefore, to make the fair, the value of b need to be $3.25
