Answer:
x= 85 is the answer. ( because exterior angle of a triangle is equal to 2 non adjacent interior angle of a triangle..)
Answer:
I THINK a=3 b=9
Step-by-step explanation:
Answer:
N= 9/2
Step-by-step explanation:
Answer:
Solution is invalid
Step-by-step explanation:
Let the time when they will have the same water content be x hours
At x hours;
For the first tank, the content will be;
50 + 10x
For the second;
29 + 3x
Equating both, will give us x
29 + 3x = 50 + 10x
We will get x as a negative number here
Since number of hours can not be negative, the solution is invalid
The piece-wise linear functions can be written as follows:
.
.
.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For x equal or less than -2, the line passes through (-3,-3) and (-2,-2), hence the rule is:
.
For x greater than -2 up to 1, the y-intercept is of -7, and the line also passes through (1,-8), hence the rule is:
.
For x greater than 1, the function goes through (2,-5) and (3,-3), hence the slope is:
m = (-3 - (-5))(3 - 2) = 2.
The rule is:
y = 2x + b.
When x = 2, y = -5, hence:
-5 = 2(2) + b
b = -9.
Hence:
.
More can be learned about linear functions at brainly.com/question/24808124
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