The average rate of change is -5 per month
<h3>How to determine the average rate of change?</h3>
The interval is given as:
July to December
From the graph, we have:
July = 110
December = 30
The average rate of a function over the interval (a, b) is calculated as:
Rate = [f(b) - f(a)]/[b - a]
So, we have:
Rate = (30 - 110)/(December- July)
This gives
Rate = (30 - 110)/(12 - 7)
Evaluate
Rate = -16
Hence, the average rate of change is -5 per month
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Answer:
x= -2y/3
-4y+4y=14
0y= 14
This has no solution.
Step-by-step explanation:
Answer In cases of two equations having two unknown variables the simultaneous method of solving the equations is adopted.
Supposing “0” as the value of “k” we will have the equation as 3x+2y=0
Then separating variable x will give, x= -2y/3
Substituting the value of x into the first equation that is: 6x + 4y = 14
6(-2y/3)+4y=14
Expanding this we get: 6(-2y/3)+4y=14
-4y+4y=14
0y= 14
Thus, no solution.
Answer: The both triangle are not scale version to each other.
Explanation:
It is given that the one rectangle measures 2 units by 7 units. a second rectangle measures 11 units by 37 units.
The two shapes are scaled version of each other if their corresponding sides are in same proportion. In other words the if two shapes scaled version of each then the shapes are similar.
The sides or first rectangle are 2 and 7. The measures of second rectangle are 11 and 37.
The proportion of small side is,

The proportion of large side is,

So,

Since the proportion are not equal, therefore both triangle are not scale version to each other.
<h2>
Answer: y + 7 = -3 (x - 1)</h2>
Step-by-step explanation:
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= (- 7 - 8) ÷ ( 1 - (- 4))
= - 15 ÷ 5
= - 3
We can now use the point-slope form to write the equation for this line:
y - y₁ = m(x - x₁) where (x₁ , y₁) = (1, -7)
y - (-7) = -3 ( x - 1)
y + 7 = -3 (x - 1)