Given:
The inequalities are:
To find:
The range of values of for the given inequalities.
Solution:
We have,
Adding 3 on both sides, we get
Divide both sides by 2.
...(i)
The second inequality is:
Subtracting 1 from both sides, we get
Adding on both sides, we get
Divide both sides by 5.
...(ii)
Using (i) and (ii), we get
Therefore, the required range is .
Answer:
Amelia rented a DVD and it was due to be returned on 26 November. She actually returned it to the shop on 12 December. The rental shop applies a fine of 9p for every day the DVD is overdue.
Work out the total fine paid by Amelia. Give your answer in £
Can you make it as a brainliest answer?
Step-by-step explanation:
3(x - 3) + 2x + 9 - 2x + 2(x - 1)
3x - 9 + 2x + 9 - 2x + 2x - 2
Solving like terms
5x - 2
5x = 2
x = 2/ 5
I think she incorrectly applied the multiplication and division properties of equality
The line's y-intercept is -3 as per the information given in the table.
<h3>What is meant by slope?</h3>
The slope or gradient of a line is a numerical representation of a line's steepness and direction in mathematics. The reason for this usage is unknown, but it first appears in English in O'Brien (1844), who wrote the equation for a straight line as y = mx + b, and in Todhunter (1888), who wrote it as y = mx + c. In this case, m stands for the line's slope.
Slope is the result of calculating the ratio of vertical change to horizontal change between (any) two distinct points on a line.
We know that,
y=m x +c
From the table the points are,
A(-2,5)
B(-1,1)
C(0,-3)
D(1,-7)
Substituting the C point in the above equation we get,
-3=m(0)+c
c=-3
Consequently, the line's y-intercept is -3.
To know more about slope, visit:
brainly.com/question/3605446
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