Let x = the unknown number to get x = 6
Which graph represents the function f(x) = 4⌈x⌉? On a coordinate plane, a step graph has horizontal segments that are each 2 uni
ts long. The left end of each segment is a closed circle. The right end of each segment is an open circle. The left-most segment goes from (0, 4) to (1, 4). Each segment is 2 units higher and 2 units farther to the right than the previous segment. The right-most segment goes from (3, 16) to (4, 16). On a coordinate plane, a step graph has horizontal segments that are each 2 units long. The left end of each segment is an open circle. The right end of each segment is a closed circle. The left-most segment goes from (0, 4) to (1, 4). Each segment is 2 units higher and 2 units farther to the right than the previous segment. The right-most segment goes from (3, 16) to (4, 16). On a coordinate plane, a step graph has horizontal segments that are each 2 units long. The left end of each segment is a closed circle. The right end of each segment is an open circle. The left-most segment goes from (0, 0) to (1, 0). Each segment is 2 units higher and 2 units farther to the right than the previous segment. The right-most segment goes from (3, 12) to (4, 12). On a coordinate plane, a step graph has horizontal segments that are each 2 units long. The left end of each segment is an open circle. The right end of each segment is a closed circle. The left-most segment goes from (0, 0) to (1, 0). Each segment is 2 units higher and 2 units farther to the right than the previous segment. The right-most segment goes from (3, 12) to (4, 12).
2 answers:
Answer:
The graph is shown in the attachment
Step-by-step explanation:
We want to select the graph that represents the ceiling function f(x)=4⌈x⌉.
The parent ceiling function is g(x)=⌈x⌉.
The given function f(x)=4⌈x⌉ is therefore a vertical stretch of the parent ceiling function by a factor of 4.
The ceiling function is a step function so each step will be 4 units above above the previous ones.
See attachment for graph.
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= 0.8333....
<u>Step-by-step explanation:</u>
Here 6 is the divisor and 5 is the dividend, and 5 is lesser than 6, so in the quotient we have to put 0 then a decimal point and 0 along with 5, so the dividend becomes 50, 8 times 6 is 48, 50 - 48 = 2, then add one more 0 with 2, so it becomes 20, 3 times 6 is 18 again, 2 is the remainder and this process is going on. So the quotient is 0.8333...
So = 0.8333....
Find where the curve intersects the <em>x</em>-axis; this happens when <em>y</em> = 0:
<em>y</em> = <em>t</em> - <em>t</em> ² = 0 → <em>t</em> (1 - <em>t</em> ) = 0 → <em>t</em> = 0, <em>t</em> = 1
Then the area of the bounded region is
(you can compute the integral by parts)
Answer:
<h3>35</h3><h3 />Step-by-step explanation:
see attached image.
perimeter of trapezoid = sides (6 + 8 + 5 + 8 + 8)
= 35
