Answer:
<u>The correct answer is A. 1.5w² + 5w + 4</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Height of the portrait = 1.5 times its width in inches
Frame = 2 inches all along its perimeter
2. What is an expression for the area of the framed portrait in terms of w?
Let's recall that the area of a rectangle is length or height * width.
A = height * width
Now, we can replace in terms of w:
A = 1.5w * w
But we need to add the 2 inches of the frame, this way:
A = (1.5w + 2) * (w + 2)
A = 1.5w² + 2w + 3w + 4
<u>A = 1.5w² + 5w + 4</u>
<u>The correct answer is A. 1.5w² + 5w + 4</u>
+∞
∫ 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:y = 2/3
Step-by-step explanation:
2x + y = 10
x - y = 4
-----------------add
3x = 14
x = 14/3
x - y = 4
14/3 - y = 4
-y = 4 - 14/3
-y = 12/3 - 14/3
-y = -2/3
y = 2/3 <==
What is in the hundreds place? The 7.
What digit is to the right?
The 3.
Since the 3 is smaller than a 5, the 7 stays a 7.
The answer is 700