Which number line represents the solution set for the inequality –4(x 3) ≤ –2 – 2x?
1 answer:
The solution to the inequality expression is x ≥ - 5
<h3>Inequality expressions</h3>Inequality are expressions not separated by an equal sign. Given the inequality;
–4(x + 3) ≤ –2 – 2x
Expand
-4x - 12 ≤ -2 - 2x
Collect the like terms
-4x + 2x ≤ -2 + 12
-2x ≤ 10
Divide both sides by -2
-2x/-2 ≤ 10/-2
x ≥ - 5
Hence the solution to the inequality expression is x ≥ - 5
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B.
because of how the slope (Y over X) is 1/4 and the intercept is (0, 2).
The slope is positive because the line moves to the right.
(for me I remember that /it hurts \doesn't. The line is you moving your arm.)
because of how the slope (Y over X) is 1/4 and the intercept is (0, 2).
The slope is positive because the line moves to the right.
(for me I remember that /it hurts \doesn't. The line is you moving your arm.)
Recursive formula is:
Explicit formula is:
Step-by-step explanation:
Given sequence is:
15,11,7,3,-1
Here
First of all, we have to find the common difference
Common difference is the difference between consecutive terms of an arithmetic sequence
So,
<u>Recursive Formula:</u>
A recursive formula is used to find the next term of an arithmetic sequence using previous term and common difference
General form of recursive formula for a given common difference d is:
Putting the value of d
<u>Explicit Formula:</u>
The explicit formula is given by:
Putting the first term and common difference
Hence,
Recursive formula is:
Explicit formula is:
Keywords: Arithmetic sequence, common difference
Learn more about arithmetic sequence at:
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Answer:
1. B. a=14, b=2
2. D. a=1, b=1.4
Step-by-step explanation:
The exponential growth function can be represented as
where b is the growth factor.
1. When the function has equation
then
The initial amount is the value of the function at x=0:
The growth factor is b=2
2. When the function has equation
then
The initial amount is the value of the function at t=0:
The growth factor is b=1.4