Given:
Polynomial is 
.
To find:
The sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form.
Solution:
The sum of given polynomial and the square of the binomial (x-8) is
![[\because (a-b)^2=a^2-2ab+b^2]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28a-b%29%5E2%3Da%5E2-2ab%2Bb%5E2%5D)
On combining like terms, we get
Therefore, the sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form is 
.
Answer:21 cm
Step-by-step explanation: The circle's circumference is 84 cm. 84 / 4 = 21. Therefore the length of the arc XY is 21 cm.
Answer:
5.8% or 6%
Step-by-step explanation:
6 face cards in a deck minus the red ones so it would be [6-3=3]
52 cards are in a deck and you have 3 black face card so it would be [3/52=0.0576]
Then to get your percentage it would be [0.0576 x 100=5.76%]
5.76 rounded up is 6%
Answer:
f(x)= $70 - $1.5*x
Step-by-step explanation:
You know your friend spends $ 5 to enter the fair and $ 15 for food. So the total you spent is given by:
$5 + $15= $20
Knowing that the trips at the fair cost $ 1.50 per trip, and with x being the number of trips, then the cost after x trips will be:
$1.5*x
So the money spent after x rides can be expressed as:
$20 + $1.5*x
Knowing that your friend has $90 when he goes to the fair, to calculate the amount of money he has left after x rides, the amount taken to the fair and the amount spent is subtracted:
$90 - ($20 + $1.5*x)
$90 -$20 -$1.5*x
$70 - $1.5*x
By calling the function f(x) used to determine the amount of money left after x trips, you can finally express:
<u><em>f(x)= $70 - $1.5*x</em></u>
