Answer:
Step-by-step explanation:
Given f(x)=
We have to find 
In order to find 
we have to make x as the subject of the formula
Let us assume f(x)=y
⇒
Subtracting both sides by 5
Dividing both sides by 2
⇒
Now substituting y with x
we have 
Now 
=
So option (ii) is correct
Answer:
54
Step-by-step explanation:
Parentheses (14 + 42 - 6) = 50:
⇒ 50/10 + 7²
Exponents 7² = 49:
⇒ 50/10 + 49
Multiplication/division 50/10 = 5:
⇒ 5 + 49
Addition/subtraction: 5 + 49 = 54
⇒ 54
<h3>
Answer:</h3>
The transformation is a rotation.
<h3>
Step-by-step explanation:</h3>
The incorrect answers can be ruled out as follows:
- dilation would change the size, but not the directions of the lines
- reflection would change the DEF ordering from clockwise to counterclockwise
- translation would move the figure, but not change the directions of the lines
The image is the same size as the original. Each of the sides of the triangle is moved through the same angle. The transformation is a rotataion.
The center of rotation can be found as the point of intersection of the perpendicular bisectors of DD', EE' and FF'
Answer: One side of the box is 3 feet.
Step-by-step explanation: To find the dimensions of the large box, simply solve for x. x = the length of each side. When dealing with volume there a 3 sides.
Solve for x;
x3 = 27
x multiplied by 3 = 27. Simply divide 27 by 3. 27/3 = 9. Then divide 9 by the amount of sides which is 3. 9/3 = 3.
So, one side of the box is 3 feet.
You can start with the indefinite integral
... ∫e^(ax)·dx = (1/a)e^(ax) +c
Then your definite integral is
