The first step is to ignore the inequality symbol first and replace it with '=' sign. Then, find the x- and y-intercepts.
15x + 10y = 1,100
x-intercept:
15x + 0 = 1,100
x = 1,100/15 = 73.33
y-intercept:
0 + 10y = 1,100
y = 1,100/10 = 110
Now, plot points (73.33,0) and (0,110). Since the equality symbol is ≥, which has an equal sign to it, connect the points using a solid line.
Next, let's find a point on the graph. Suppose it is the origin at (0,0). Use this points to the equation.
15x + 10y ≥ 1,100
15(0) + 10(0) ? 1,100
0 ? 1,100
0 < 1,100
It makes the symbol ≥ false. Therefore, it means that the other region bounded by the line is the solution. So, you shade this area. The final graph is shown in the picture attached.
Answer:
You have told us that there is $450 in Josie's bank account, and she does not make any later deposits or withdraws. You have also told us that the gym deducts $35.20 every one month in fees.
Explanation:
The answer is really easy to find. All you have to do is subtract 35.20 from 450. The problem asks for the amount of money that Josie has in her account at the end of the month - the same month that she put $450 into her account.
Solve:
450 - 35.20
= 414.80
Josie has $414.80 in her bank account at the end of the month.
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Answer:
8 - 2x <4 gives us x>2
|x-8| >22 gives us (-inf, -14) and (30,inf)
|x+5| < 4 gives us (-9,-1)
Step-by-step explanation:
Inequalities differs from equalities in that they return a range of values for x and not a single value (case of equalities)
The first one
8 - 2x <4 if you subtract every side 8, you will get -2x<-4
Next divide every side with -2, since its a negative number you have to change the orientation of the inequaiity, thus we have x>4/2, x>2
The second
|x-8| >22, it has to be treated as this. -22>x-2>22 which can be treated as two single inequalities, -22>x-8, and the other, x-8>22. The fist gives you x<-14, and the other x>30, two non intercepting ranges, so your range will be (-inf, -14) and (30, inf)
The third
|x+5| < 4 if you apply the same steps from above, you will have the following -4<x+5<4 This results in two intercepting ranges, giving you the range (-9,-1)
Answer:
5
Step-by-step explanation:
