Answer:
In the last two sections, we considered very simple inequalities which required one-step to obtain the solution. However, most inequalities require several steps to arrive at the solution. As with solving equations, we must use the order of operations to find the correct solution. In addition remember that when we multiply or divide the inequality by a negative number the direction of the inequality changes.
The general procedure for solving multi-step inequalities is as follows.
Clear parenthesis on both sides of the inequality and collect like terms.
Add or subtract terms so the variable is on one side and the constant is on the other side of the inequality sign.
Multiply and divide by whatever constants are attached to the variable. Remember to change the direction of the inequality if you multiply or divide by a negative number.
Step-by-step explanation:
Answer:
4.5 seconds
Step-by-step explanation:
The difference means subtraction.
So, we just subtract 33.9 from 38.4 to find the difference:
38.4 - 33.9
4.5
The difference is 4.5 seconds
Answer:
Total 22 buildings have at least one 4 in their address
Step-by-step explanation:
Number between 12 to 136 are as given below -
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
Total numbers having at least 1 four are
14
24
34
40
41
42
43
44
45
46
47
48
49
54
64
74
84
94
104
114
124
134
Total 22 buildings have at least one 4 in their address
Answer:
well there is a formula for this type of problem...
but the given points are exactly 14 units apart...
dividing by (4+3)= 7, so the ration is 14/7 = 2
therefore we need the point that is 2*4=8 from one end
and 2*3 = 6 from the other end, so that their distance is 8+6=14
that must be (-7,-1)
Step-by-step explanation:
Hey there! I'm happy to help!
First, we'll want to find the vertex of this parabola.
Given the equation y=ax^2+bx+c, the formula for the x-coordinate of the vertex is always 
.
In our equation here, our a is 1 and our b is -2.
Now that we have our x-value of our vertex, we can plug it into our equation to find our y-coordinate.
y=1²-2(1)-5
y=1-2+5
y=-1+5
y=4
So, our vertex is at (1,4).
Vertex form is y=a(x-h)²+ k where (h,k) is our vertex. We know now that our vertex is (1,4) and we also know that our a is 1, so we can simply plug it in to this equation.
y=(x-1)²+4
Have a wonderful day and keep on learning! :D
