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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Answer:
m = -1/3
Step-by-step explanation:
Find two points in order to calculate slope:
Slope (m) =
ΔY /ΔX= -1/ 3= -0.33333333333333
- ( ΔX = 3 – 0 = 3
- ΔY = 1 – 2 = -1 )
Slope intercept:
y = -0.33333333333333x + 2
Answer:
Step-by-step explanation:
First we have to find the coordinates of the original ordered pairs then we will do the translation.
Now we will add 3 to every x value and add a -2 to every y value.
When you do that you will get the new prime points.
Answer:
a) 1 game
b) 41 goals
c) median = 2
Step-by-step explanation:
a)
As we can see in the line graph, where we have the 0 for the number of goals scored, the graph indicates only 1 in the number of games, so we have only 1 game where no goals were scored.
b)
To find the total number of goals scored, we multiply the goals scored by the number of games for that score, and then sum them all:
total goals = 1*0 + 4*1 + 5*2 + 6*3 + 1*4 + 1*5 = 41 goals
c)
To find the median, we put all the goals in crescent order, and then find the value in the middle. As we have 18 games, the middle value will be an average of the 9th and 10th terms.
We have 1 number 0, 4 numbers 1 and 5 numbers 2 in the beginning, so for these 10 numbers, the 9th and the 10th are the score 2, so the median is 2.
Answer:
Step-by-step explanation:
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