We need to express this statement into a equation:
First of all. We will walk through the statement step by step into a mathematical language, so:
1. The sum of five and x:
x + 5
2. Twice the sum of five and x:
2(x + 5)
3. Eight less than x:
(x-8)
Finally the whole statement is:
4. <span>Twice the sum of five and x is eight less than x:
</span>
2(x + 5) = (x-8)
2x + 10 = x - 8
x = -18
P=18
l=5 cm greater than the width
w=5 less than the length
USE YOUR NUMBER SENSE!!! - just plug in different number below 4 to figure out the width
3=w 3+5=8 8+8=16+6=22 WILL NOT WORK
2=w 2+5=7 7+7=14 14+2+2= 18 WE HAVE A WINNER!!!!
FInal Answer: width: 2 cm and length: 7 cm
Answer: 362880
The exclamation mark means factorial notation. The rule is we start with the given number, then count down til we get to 1, multiplying all along the way. In this case, we start with 9, then multiply with 8, 7, 6, etc til we get to 1, like so...
9! = 9*8*7*6*5*4*3*2*1 = 362880
Some calculators have a factorial button built in. The button should be labeled with an exclamation mark.
<h2>
The required "option A)
" is correct.</h2>
Step-by-step explanation:
We have,
..... (1)
To find,
= ?
Differentiating equation (1) w.r.t. 'x', we get
![\dfrac{dy}{dx}= \dfrac{d[(3x + x^2)^5]}{dx}](https://tex.z-dn.net/?f=%5Cdfrac%7Bdy%7D%7Bdx%7D%3D%20%5Cdfrac%7Bd%5B%283x%20%2B%20x%5E2%29%5E5%5D%7D%7Bdx%7D)
⇒ 
[ ∵
⇒
]
⇒ 
⇒ 
Thus, the required "option A)
" is correct.
4.4×.1=.44
4.4-.44=3.96
your answer is $3.96