Answer:
We can draw a rectangle and a square.
First the square:
The area of a square of sidelength L is:
A = L^2
So if the area of this square must be 6 square units, we get:
6 square units = L^2
L = √(6 square units) = 2.45 units
Now for a rectangle, we know that for a rectangle of length L and width W, the area is:
A = L*W
Now let's give the width a value of 1 unit, then W = 1unit
A = L*1 unit
And we know that the area must be of 6 square units, then:
6 square units = L*1 unit
(6 square units)/(1 unit) = L
(6 units) = L
The drawings (these are not exact ones, i'm doing them with a mouse) of the images can be seen below.
Answer:
C. <em>$720.37</em>
Step-by-step explanation:
An investment of $2,000 is earning interest at the rate of 6.2% compounded quarterly over 5 years.
We know that,
here,
A = Future amount,
P = Principal = $2000
r = Rate of interest = 6.2% = 0.062
n = Number of period = 4 (as compounded quarterly)
t = time period = 5 years
Putting the values,
So the interest will be,
Answer:
n=0.5
Step-by-step explanation:
2 times 0.5 = 1
Answer:
<h3>The answer is option A</h3>
Step-by-step explanation:
f(x) = (x+1)³ + 4
To find f-¹(x) equate f(x) to y
That's
y = (x+1)³ + 4
Next interchange the terms x becomes y and y becomes x
That's
x = ( y+1)³ + 4
Make y the subject
(y+1)³ = x - 4
Find the cube root of both sides
That's
![y + 1 = \sqrt[3]{x - 4}](https://tex.z-dn.net/?f=y%20%2B%20%201%20%3D%20%20%5Csqrt%5B3%5D%7Bx%20-%204%7D%20)
Send 1 to the right side of the equation
That's
![y = \sqrt[3]{x - 4} - 1](https://tex.z-dn.net/?f=y%20%3D%20%20%5Csqrt%5B3%5D%7Bx%20-%204%7D%20%20%20-%20%201)
So we have the final answer as
![f ^{ - 1} (x) = \sqrt[3]{x - 4} - 1](https://tex.z-dn.net/?f=f%20%5E%7B%20-%201%7D%20%28x%29%20%3D%20%20%5Csqrt%5B3%5D%7Bx%20-%204%7D%20%20%20-%201)
Hope this helps you
2√18 - 5√32
= 6√2 - 20√2
= -14√2
hope it helps
