Answer:
9.00 square units
Step-by-step explanation:
The width of the interval is 4 − 0 = 4. Divided by 4 equal subintervals, the width of each subinterval is 4/4 = 1.
The subintervals are:
0 ≤ x ≤ 1
1 ≤ x ≤ 2
2 ≤ x ≤ 3
3 ≤ x ≤ 4
MRAM is midpoint rectangular approximation method. So we use the midpoints of each interval to find the height of the rectangle:
f(0.5) = (0.5)² − 4(0.5) + 5 = 3.25
f(1.5) = (1.5)² − 4(1.5) + 5 = 1.25
f(2.5) = (2.5)² − 4(2.5) + 5 = 1.25
f(3.5) = (3.5)² − 4(3.5) + 5 = 3.25
So the total approximate area is:
A = 3.25 + 1.25 + 1.25 + 3.25
A = 9.00
Graph: desmos.com/calculator/x8dcibqszo
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Answer:
(-3/8)/(-2 3/4) = 3/22
Step-by-step explanation:
Solve the following;
Thus, =
<em>~Learn with lenvy~</em>
Answer:
The answer is x= -5 1/4
Step-by-step explanation:
Let's solve your equation step-by-step.
2/3x−4 1/2=−8
Step 1: Simplify both sides of the equation.
2/3x+−9/2=−8
Step 2: Add 9/2 to both sides.
2/3x+−9/2+9/2=−8+9/2
2/3x=−7/2
Step 3: Multiply both sides by 3/2.
(3/2)*(2/3x)=(3/2)*(−7/2)
x=−21/4
Answer:
x= −5 1/4
Answer:
A) Yes, for each increase of 25 employees there is an increase of 150 products.
B) y = 6x + 10
C) the slope indicates the increase that will occur in the y-value for each unitary increase in the x-value, and the y-intercept indicates the inicial value of y (when x = 0)
Step-by-step explanation:
A)
Yes, there is a linear correlation, because a linear increase in the number of employees causes a linear increase in the number of products. For each increase of 25 employees there is an increase of 150 products.
B)
We can use two pair of points to write a linear equation in the model:
y = ax + b
Using x = 0 and y = 10, we have:
10 = a * 0 + b -> b = 10
Using x = 25 and y = 160, we have:
160 = a * 25 + 10
25a = 150 -> a = 6
So the equation is:
y = 6x + 10
C)
the slope indicates the increase that will occur in the y-value (number of products) for each unitary increase in the x-value (number of employees), and the y-intercept indicates the inicial value of y (when x = 0, that is, no employees)
