The absolute value inequality can be decomposed into two simpler ones.
x < 0
x > -8
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Which two inequalities can be used?</h3>
Here we start with the inequality:
3|x + 4| - 5 < 7
First we need to isolate the absolute value part:
3|x + 4| < 7 + 5
|x + 4| < (7 + 5)/3
|x + 4| < 12/3
|x + 4| < 4
The absolute value inequality can now be decomposed into two simpler ones:
x + 4 < 4
x + 4 > - 4
Solving both of these we get:
x < 4 - 4
x > -4 - 4
x < 0
x > -8
These are the two inequalities.
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Answer:
- apple: £0.20
- banana: £0.60
Step-by-step explanation:
Let "a" and "b" represent the costs of one apple and one banana, respectively. Then the purchases can be written ...
4a +b = 1.40
7a +b = 2.00
Subtracting the first equation from the second gives ...
(7a +b) -(4a +b) = (2.00) -(1.40)
3a = 0.60 . . . . simplify
a = 0.20 . . . . . .divide by 3
Using this in the first equation, we have ...
4(0.20) +b = 1.40
b = 0.60 . . . . . subtract 0.80
The cost of an apple is £0.20; the cost of a banana is £0.60.
Answer:
The statement is true
see the explanation
Step-by-step explanation:
we have the proportion
we know that
To solve the proportion multiply in cross
so
therefore
The statement is true
Answer:
Domain of f(p) = [0,∞), where it belongs to whole numbers only
Step-by-step explanation:
The domain is the set of all possible values of independent variable for which function is defined
As in the given function f(p), we have the independent variable p. As p is the number of people working on the project, so it means either the number of people could be 0 or it could be anything greater than 0, like it could be equal to thousand or ten thousand, but it can not be fraction in any case.
So, the domain is set of whole numbers starting from 0.
Domain of f(p) = [0,∞)
Answer: 41
Step-by-step explanation:
