Ok, so let’s take the given phrase.
Eight more than the product of 3 and a number is -13. A translation to numbers looks like this:
3x + 8 = -13
Now, let’s solve for x. We can start the process by subtracting 8 from both sides.
3x = -21
now, we will divide each side by 3 to isolate the variable, thus solving for x.
x = -7
Answer:
f(x) = 7/(x+3) -38/(x+3)²
Step-by-step explanation:
The denominator is a perfect square, so the decomposition to fractions will involve both a linear denominator and a quadratic denominator.
You can start with the form ...
... f(x) = B/(x+3) + A/(x+3)²
and write this sum as ...
... f(x) = (Bx +3B +A)/(x+3)²
Equating coefficients gives ...
... Bx = 7x . . . . . B = 7
... 3B +A = -17 . . . . the constant term
... 21 +A = -17 . . . . filling in the value of B
... A = -38 . . . . . . . subtract 21 to find A
Now, we know ...
... f(x) = 7/(x+3) -38/(x+3)²
Circumference = PI x Diameter
circumference of tire = 3.14 x 1.1 = 3.454 feet
so every full turn of the tire the bike travels 3.454 feet
110 feet / 3.454 = 31.8 turns
Answer:
<h2>25 1/6 square yards</h2>
Step-by-step explanation:
I am assuming you mean the area of the shaded figure.
So, let's do it this way.
Let's subtract the total area from the unshaded area:
7 1/4 x 6 = 43 1/2
Area of non-shaded = 18 1/3
Area of shaded = 43 1/2 - 18 1/3 = 25 1/6
<em>Hope that helps! :)</em>
<em></em>
<em>-Aphrodite</em>
Answer:
The quantity of board which Mr. Stevens need to buy is 22.4 meters
Step-by-step explanation:
Given as :
The length of board = 6.9 meters
The width of board = 4.3 meters
Let The measure of new board = x meter
Now,
The measure of new board = The perimeter of board
∵ The board is of rectangle figure
As, The perimeter of rectangular board = 2 × Length + 2 × width
So, The measure of new board = 2 × Length + 2 × width
or, x = 2 × 6.9 + 2 × 4.3
or, x = 13.8 + 8.6
or, x = 22.4 meters
So, The measure of new board = x = 22.4 meters
Hence The quantity of board which Mr. Stevens need to buy is 22.4 meters Answer