A line that passes through [-7,3] and [-6,-1]
1 answer:
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Answer:
The statements (1), (2), (4) and (6) are true.
Step-by-step explanation:
Consider the diagram below for the number line.
- The first statement is:
From the number line it is clear that the above statement is true.
- The second statement is:
From the number line it is clear that the above statement is true.
- The third statement is:
The value of √2 is 1.414. This value is less than 1.5.
So, the above statement is false.
- The fourth statement is:
From the number line it is clear that the above statement is true.
- The fifth statement is:
The value of √3 is 1.732. The difference between √2 and √3 is, 0.318.
Thus, the above statement is false.
- The sixth statement is:
The value of √3 is 1.732. The difference between √2 and √3 is, 0.318.
Implying, √3 = √2 + 0.318.
⇒√3 = √2 + 0.3
Thus, the above statement is true.
Answer:
Step-by-step explanation:
From table 1,
f(x) = bˣ
For x = -1,
f(-1) = 0.5
0.5 = (b)⁻¹
b =
b = 2
For x = 1.585,
f(1.585) = 3
3 =
3 =
For x = 2.585,
f(2.585) =
=
= 4 × 1.5 [Since, ]
= 6
From table 2,
g(x) =
For x = 0.5,
g(0.5) = -1
-1 =
b⁻¹ = 0.5
b = 2
For x = 2,
g(2) = 1
1 =
For x = 6,
g(6) = 2.585
2.585 =
2.585 =
2.585 =
2.858 - 1 =
For x = 3,
g(3) =
g(3) = 1.585