The approximate solution of this system of equations is
(x,y)=(-0.25,1.25)
<h3>What is an equation?</h3>
Equation is defined as the state of being equal and is often shown as a math expression with equal values on either side, or refers to a problem where many things need to be taken into account.
Given that,
y = |x − 1| and y = 3x+2
y = |x − 1|
= (x-1) , for (x-1)>0 or x>1
and
y = -(x-1) , for(x-1)<0 or x<1
y = -x+1
Now, For x>1
y = x-1 ......(1)
y = 3x+2 ......(2)
Solving for x by equaliting's method:
3x+2 = x-1
→ 3x-x = -1-2
→ 2x = -3
→ x = -3/2
→ x = -1.5 which is <1.
For x<1
y = -x+1 ......(1)
y = 3x+2 ......(2)
Solving for x by equaliting's method:
3x+2 = -x+1
→ 3x+x = 1-2
→ 4x = -1
→ x = -1/4
→ x= -0.25 which is <1.
substitute the value of x = -0.25 in equation 1 for x<1.
y = -x+1
= -(-0.25)+1
y = 1.25
Hence, The approximate solution of this system of equations is
(x,y)=(-1/4,5/4)=(-0.25,1.25).
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Answer: Step function (or staircase function)
This is because the graph resembles steps or a staircase.
Each step is a horizontal line as described by the pricing chart.
- From x = 0 to x = 25, we'll have a horizontal line y = 3.50
- From x = 25.01 to x = 75, we have a horizontal line y = 5.95
- From x = 75.01 to x = 125, we have a horizontal line y = 7.95
- From x = 125.01 and onward, we have a horizontal line y = 9.95
The diagram below shows this. Note how the horizontal lines are separate pieces that are not connected by vertical lines. Vertical lines are not allowed in functions.
Answer:I believe the correct answer is D. As the formula to find the hypotenuse of a right triangle is c=√a^2+b^2
Step-by-step explanation:
Answer:
The range is the difference between the largest and the smallest observation in the data. The prime advantage of this measure of dispersion is that it is easy to calculate. On the other hand, it has lot of disadvantages. It is very sensitive to outliers and does not use all the observations in a data set.
