The graph of a rational function differs from that of other functions with the existence of asymptotes
<h3>Graph of rational functions</h3>
The properties of the graph of a rational function include;
- The graph of a rational function never crosses its vertical asymptote
- It crosses its horizontal or slant asymptote
- The graph of the reciprocal function y = 1/x or y = k/x is a rectangular (or right) hyperbola of which asymptotes are the coordinate axes
The graph of a rational function differs from that of other functions with the existence of asymptotes.
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9. 12 edges
Work: <u>4</u> horizontal edges on top, <u>4</u> horizontal edges on bottom, <u>4</u> vertical edges for sides
10. Ten-thousands place
Work: The 8 is highlighted. The order of places is: <u>ten-thousands</u>, thousands, hundreds, tens, ones
11. 10 4/5
Work: 54 ÷ 5 ——> 50÷5 = <u>10</u> with 4 left over and put into a fraction of <u>4/5</u>
12. 3,000
Work: 2 is in the thousands place so you look to the place behind it and there is an 8. If the number behind is 5 through 9 then you round up. 8 is above 5, therefore, you round the 2 up to a <u>3</u>.
13. 0.45
Work: The pattern is +0.03 so 0.42+0.03=<u>0.45</u>
14. 54 cakes
Work: <u>6 eggs</u> per 1 cake • <u>9 cakes</u> = 6•9=54 eggs used
15. 378 desks in the school
Work: 6 rows • 7 desks per row = 42 desks in 1 classroom. 42 desks • 9 classrooms = 378 desks in the whole school
Volume is a three-dimensional scalar quantity. The volume of the cube with side length of 4 inches is 64 inches³.
<h3>What is volume?</h3>
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Given the volume of a cube is the cube of the length of a side. If a side is S, the volume is S^3. Therefore, the volume of cube with side 4 inches will be,
Volume of the cube = (4 in)³ = 64 in³
Hence, the volume of the cube with side length of 4 inches is 64 inches³.
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Answer:
5/8+3/4-2/3-5/6
= ( 5/8 + 3/4 ) - ( 2/3 + 3/4)
= ( 11/8) - (17 /12)
= 11/8 - 17/12
= 33-34 /24
= -1/24 (ans)
Hope it helps
