Answer:
19.37.
Step-by-step explanation:
Integrating the function we get
x^4/4 - 5x^3/3 + x^2 + 8x
Area under the curve from x = -1 to x = 0
= (-1)^4/4 - 5(-1)^3/3 + (-1)^2 - 8
= 5.083
In a similar way we calculate area from 0 to 2
this = 10.667.
Total = 15.75.
Now we subtract 12.13 to get the area from x = 2 to x =p.
= 15.75 - 12.13 = 3.62
So total shaded area = 15.75 + 3.62
= 19.37.
Answer:
9
Step-by-step explanation:
The table is given below
We can see that the table represents a linear function since by checking its slope.
Using:
- Points (-2,15) and (1,6)
- Points (1,6) and (2,3)
Therefore, the values represent a linear function.
A linear equation is of the form y=mx+b
Therefore:
y=-3x+b
Using the points (7,-12)
Therefore, the y-intercept of the function, represented by the table of values is 9.
Answer:
B. 28 hours
Step-by-step explanation:
GIVEN :- <em>Time taken by family to travel 600 km is 8 hours</em>
CALCULATIONS :-
<em>To calculate the time to travel 2100 km, we need to calculate distance traveled in 1 hour</em>
<em>Distance traveled in 1 hour = 600 km ÷ 8</em>
<em> = 75 km</em>
<em>Time required to travel 2100 km = 2100 ÷ 75</em>
<em> = </em><em>28 hours</em>
Therefore time required to travel 2100 km is 28 hours.
The answer is -7.4 because you switch from positive to negative
