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Answer:</h2>
Shown below
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Step-by-step explanation:</h2>
This function represents greatest integer function, which is the most famous of the step functions, which is denoted by . So, this function is defined as:
. The graph of the greatest integer function has the following characteristics:
a) The domain of the function is the set of all real numbers.
b) The range of the function is the set of all integers.
c) The graph has a at and in the interval
d) The graph is constant between each pair of consecutive integers.
e) The graph jumps vertically one unit at each integer value.
tells us that the original function has been shifted 3 units downward. So the correct option has been marked in the square red below.
Complementary is which add up to 90 °
8)
59+31=90° complementary angles.
supplementary is which add up to 180°
10) 156+24=18 supplementary angles
12)
shows right angle=3x+45=90
3x=45
x=15°
14) supplementary angles
2x+3x+25=180
5x+25=180
x=31°
16) again it makes supplementary angles
x+2x+21=180
3x+21=180
x+7=60
x=53°
Answer:
4.8
Step-by-step explanation:
took test
Answer:
D cannot be in the data set
Step-by-step explanation:
We know that range is the number with the greatest value subtract the number with the smallest value.
Answer: it will take 12 years for both trees to be of the same height.
Step-by-step explanation:
Let x represent the number of years that it will take for the blue spruce and the hemlock to be the same height.
A blue spruce grows an average of 6 inches per year. If a blue spruce is 4 feet tall,
1 inch = 0.0833 feet
6 inches = 6 × 0.0833 = 0.4998 feet
it means that its height in x years would be
0.4998x + 4
A hemlock grows an average of 4 inches per year. If a hemlock is 6 feet tall.
4 inches = 4 × 0.0833 = 0.3332 feet
it means that its height in x years would be
0.3332x + 6
The number of years that it will take both trees to be of same height is
0.4998x + 4 = 0.3332x + 6
0.4998x - 0.3332x = 6 - 4
0.1666x = 2
x = 2/0.1666
x = 12