+∞
∫ x · e ^(-x² ) dx = / The substitution: u = - x², x d x = - du / 2
-∞
+∞
= - 1/2 · ∫ e ^(u) du = - 1/2 · e ^(-x²) /
- ∞
e^(-∞) = 1 / e^(∞)
= -1/2 · [ 1/ e^(∞) - 1/ e^(∞) ] = -1/2 · ( 0 - 0 ) = 0
Answer:
$4
Step-by-step explanation:
To answer, we have to find the base unit of how much each package would cost out of a box. To do this, we divide the total amount of the box of paper by how many packages were inside:
40 / 8 = 5
So, each package costed Ms. Jones $5, while the single packages cost $5.50, so Ms. Jones saved $0.50 per package she bought, which if you multiply by 8, you get 4, so Ms. Jones saved a total of $4.
Hope this helps :)
Answer:
B
Step-by-step explanation:
Hi there!
We are given the points (-1,2) and (3,3) and we need to find the slope.
The formula for slope calculated from two points is 
, where (
,
) and (
,
) are points
since we have two points, we can substitute them into the formula, but let's label their values to avoid any confusion
=-1
=2
=3
=3
now substitute into the formula (m is the slope); remember: we have a negative number in this, so we'll be subtracting a negative.
m=
simplify
m=
m=
so <u>B </u>is your answer
Hope this helps! :)
A) nth term is n^2 + 1
b) nth term is (n - 1)^2
Answer:
x=12
Step-by-step explanation:
Let's solve your equation step-by-step.
3x−x+3+x−5−x=x+10
Step 1: Simplify both sides of the equation.
3x−x+3+x−5−x=x+10
3x+−x+3+x+−5+−x=x+10
(3x+−x+x+−x)+(3+−5)=x+10(Combine Like Terms)
2x+−2=x+10
2x−2=x+10
Step 2: Subtract x from both sides.
2x−2−x=x+10−x
x−2=10
Step 3: Add 2 to both sides.
x−2+2=10+2
x=12
