Let x represent the number of hours that Gordon spends tutoring math, and let y represent the number of hours that he spends tutoring English. For parts (a)-(d), write an inequality to represent the given statement. a. Gordon has at most 12 hr to tutor per week. b. The amount of time that Gordon spends tutoring English is at least twice the amount of time he spends tutoring math. c. The number of hours spent tutoring math cannot be negative. d. The number of hours spent tutoring English cannot be negative. e. Graph the solution set to the system of inequalities from parts (a)-(d).
Let x represent the number of hours that Gordon spends tutoring math, and let y represent the number of hours that he spends tutoring English. For parts (a)-(d), write an inequality to represent the given statement. a. Gordon has at most 12 hr to tutor per week. b. The amount of time that Gordon spends tutoring English is at least twice the amount of time he spends tutoring math. c. The number of hours spent tutoring math cannot be negative. d. The number of hours spent tutoring English cannot be negative. e. Graph the solution set to the system of inequalities from parts (a)-(d).
Solution Summary: The author explains that Gordon has at most 12 hours to tutor per week and the required inequality is x+yle 12.
Let
x
represent the number of hours that Gordon spends tutoring math, and let
y
represent the number of hours that he spends tutoring English. For parts (a)-(d), write an inequality to represent the given statement.
a. Gordon has at most
12
hr
to tutor per week.
b. The amount of time that Gordon spends tutoring English is at least twice the amount of time he spends tutoring math.
c. The number of hours spent tutoring math cannot be negative.
d. The number of hours spent tutoring English cannot be negative.
e. Graph the solution set to the system of inequalities from parts (a)-(d).
sy = f(x)
+
+
+
+
+
+
+
+
+
X
3
4
5
7
8
9
The function of shown in the figure is continuous on the closed interval [0, 9] and differentiable on the open
interval (0, 9). Which of the following points satisfies conclusions of both the Intermediate Value Theorem
and the Mean Value Theorem for f on the closed interval [0, 9] ?
(A
A
B
B
C
D
=
Q6 What will be the allowable bearing capacity of sand having p = 37° and ydry
19 kN/m³ for (i) 1.5 m strip foundation (ii) 1.5 m x 1.5 m square footing and
(iii)1.5m x 2m rectangular footing. The footings are placed at a depth of 1.5 m
below ground level. Assume F, = 2.5. Use Terzaghi's equations.
0
Ne
Na
Ny
35 57.8 41.4 42.4
40 95.7 81.3 100.4
Q1 The SPT records versus depth are given in table below. Find qan for the raft 12%
foundation with BxB-10x10m and depth of raft D-2m, the allowable
settlement is 50mm.
Elevation, m 0.5 2
2 6.5 9.5 13 18 25
No.of blows, N 11 15 29 32 30 44
0
estigate shear
12%
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