You walked 5/6 mile
1/3(x2)=2/6
1/2(x3)=3/6
5/6 mile
Answer:
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Answer:
(3, 2)
Step-by-step explanation:
y = 3x - 7
2x + 5y = 16
Solve for x:
2x + 5(3x - 7) = 16
2x + 15x - 35 = 16
17x = 51
x = 3
Solve for y:
y = 3(3) - 7
y = 9 - 7
y = 2
Answer:
(3, 2)
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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.
