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.
what is the original equation and then maybe i can help you solve
S=-1 see attachment for explanation
Answer:
1.The sum of thrice a certain number and six is greater than twenty seven.
2. Three times a certain number added to six the result is greater than twenty seven.
Step-by-step explanation:
The inequality whose word problem to be written is 3x + 6 > 27
Let x be a certain number.
So, we can write the following as the word problem of the inequality :
1.The sum of thrice a certain number and six is greater than twenty seven.
2. Three times a certain number added to six the result is greater than twenty seven.
Answer:
Yes
Step-by-step explanation:
If the largest number squared is equal to the sum of the squares of the other 2 numbers, then Pythagorean triple
largest number = 7.5 and 7.5² = 56.25
2.1² + 7.2² = 4.41 + 51.84 = 56.26
Thus 2.1, 7.2 and 7.5 create a Pythagorean triple
