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: y = -x + 5
Step-by-step explanation:
A slope-intercept equation is in the form y = <em>m</em>x + <em>b</em> where <em>m</em> is the slope and <em>b</em> is the <em>y</em>-intercept. Since we are given the slope, we will plug it in with the point they gave us, and solve for <em>b</em>.
y = <em>m</em>x + <em>b</em>
(1) = (-1)(4) + <em>b</em>
1 = -4 + b
5 = b
Lastly, we will write our equation by substituting <em>m</em> with -1 and <em>b</em> with 5.
y = <em>m</em>x + <em>b</em>
y = -1x + 5 or y = -x + 5
<em> Read more about </em><em>slope-intercept equations</em><em> here:</em>
<em>brainly.com/question/27497166</em>
Answer:
#5 x=8, #6 x=5
Step-by-step explanation:
Theyre vertical so for number 5 you would have the equation
5x+15=55
-15 -15 from both sides
5x=40
divide by 5 from both sides and you get
x=8
Same thing vertical so you would have
16x+7=87
-7 -7 from both sides
16x=80
divide by 16 from both sides
x=5
9514 1404 393
Answer:
0.8
Step-by-step explanation:
The ratio of the first two terms is ...
1.2/1.5 = 4/5 = 0.8
That is also the ratio of successive adjacent terms.
0.96/1.2 = 0.768/0.96 = 0.8
The common ratio is 0.8.
Answer:
-22 1/2
Step-by-step explanation:
-2 1/2 *s
Let s = 9
-2 1/2 (9)
Change to an improper fraction
-5/2 *9
-45/2
Change back to a mixed number
-22 1/2
