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
If the sum of two numbers is x
Then the equation is like this:
a+b = x
Then it says one of the number is 12. Change either a or b into 12
12 + b =x
If we want to find the other number, we need the make it into the subject
b = x - 12
Hope that help.
Answer:
A closed dot means (or equal to) which i will be signifying with bold numbers
3) 2 < x > 5
4) 5 < t > 3
5) -3 < m > -1
6) -2 < x < -6 (This one feels like its not right but I cant find a better way to state it)
7) 36 > Fridge < 46
9 (2x-5) =
Remember to look at words that indicate an operation is to take place (Eg: "times" (x) "less than" (-) "Twice x" (2x))
Hope this helps!
M < 2 = m < 6...corresponding angles
m < 5 = m < 8....vertical angles are congruent