5x – (9x + 14) < 3(x + 10) - 2
2 answers:
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Answer:
a) 50
b) 400
c) 8
d) 200
Step-by-step explanation:
a) 5 divided 0.1
b) 8 divided 0.02
c) 2.4 divided 0.3
d) 32 divided 0.16
Answer:
OPTION D: The rate of change of Function 2 is less than that of Function 1.
Step-by-step explanation:
From the table, we will determine the equation of function 2.
From the table, g(1) = 14 & g(-3) = - 86
Since, it is a linear function it should have been of the form, y = a + bx.
We will denote Function 2 as g(x).
So, g(1) = 14 = a + b . . . (1)
And g(-3) = -86 = -3a + b . . . (2)
From (1), a = 14 - b
Substituting this in (2), we get:
-86 = -3(14 - b) + b
⇒ - 86 = - 42 + 4b
⇒ - 44 = 4b
⇒ b = -11
So, a = 14 - (-11)
⇒ a = 25
So, equation of function 2 is: y = 25 - 11x.
Hence, Option A and B are eliminated.
In a linear equation of the form, y = ax + b, y - intercept = b.
So, in function 1, y - intercept = 19
And in function 2, y - intercept = -11
Clearly, OPTION C can be eliminated.
Now, rate of change of Function 1 =
and rate of change of Function 2 =
Therefore, we can say that the rate of change if function 2 is less than that of function 1.
Option D is our answer.
The function f(x) is less than 0 at x < -1.8
<h3>How to analyze the graph?</h3>The missing graph is added as an attachment
The interval where f(x) < 0 are the intervals where the y value of the function is less than 0.
This in other words, represent the negative y-axis
From the attached graph, the function f(x) is less than 0 at x < -1.8.
This extends till x = infinity
Hence, the function f(x) is less than 0 at x < -1.8
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