The solutions to the inequalities are x >1 and x < 6
<h3>How to solve the inequalities?</h3>
The inequality expression is given as:
-2x + 5 < 3x + 10
Collect the like terms in the above inequality
-2x - 3x < 10 - 5
Evaluate the like terms
-5x < 5
Divide by -5
x >1
Also, we have
5(x - 2) <3x + 2
Open the bracket
5x - 10 < 3x + 2
Evaluate the like terms
2x < 12
Divide by 2
x < 6
Hence, the solutions to the inequalities are x >1 and x < 6
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To find the slope, we put this in y = mx + b form where m is ur slope.
3x - 4y = 7.....subtract 3x from both sides
-4y = -3x + 7 ...now we divide both sides by -4
(-4/-4)y = (-3/-4)x + (-7/4)...simplify
y = 3/4x - 7/4
y = mx + b
y = 3/4x - 7/4.....so the number in the m position is 3/4 <== ur slope
Answer:
Rate = 10%
Step-by-step explanation:
We are given with the following details.
Interest earned = $ 116.25
Principal = $ 1550
Interest Rate = r (say)
Time = 9 months
= 
We are asked to determine the rate of interest for which we can earn 116.25 interest. As we are not specifically given whether it is a compound or simple interest , we assume it to be simple interest and solve .
The formula for simple interest is given as



r=0.1
Hence the r = 0.1
Hence the rate of interest is 10%
Answer:
x = 7
Step-by-step explanation:
4x+5x=63
Combine like terms
9x = 63
Divide by 9
9x/9 =63/9
x = 7
Answer:

Step-by-step explanation:
To find the slope, all we need is to points on the line.
Judging by that graph, we can see a point at (0,1) and at (5,4).
Simply enter this into the slope formula and you'll have your slope.

Your y1 term is 1, your y2 term is 4.
Your x1 term is 0, your x2 term is 5.

Your slope is
.