Answer:
Try solving 6(n-5)-2.
Step-by-step explanation:
I believe this can be set up as 6(n-5)-2. The difference of a number and five can be represented by n-5. If this needs to be multiplied by 6 (hence 6 times), it would become 6(n-5). Two less than that is represented by -2. Thus, two less than six times the difference of a number and five is 6(n-5) -2, which, when n=9 is plugged in, looks like 6(9-5) -2. Follow PEMDAS from there.
Given the polynomial expression:
(y + 5)²
(y - 5)(y + 5)
Let's simplify each of the given expression:
a.) (y + 5)²
The given equation is a factor of a perfect square trinomial. For this type of expression, the following is the formula for expanding it.
![\text{ (a+b)}^2\text{ = }a^2\text{ + 2ab + }b^2](https://tex.z-dn.net/?f=%5Ctext%7B%20%28a%2Bb%29%7D%5E2%5Ctext%7B%20%3D%20%7Da%5E2%5Ctext%7B%20%2B%202ab%20%2B%20%7Db%5E2)
We get,
![\mleft(y+5\mright)^2=(y)^2+2(y)(5)+(5)^2](https://tex.z-dn.net/?f=%5Cmleft%28y%2B5%5Cmright%29%5E2%3D%28y%29%5E2%2B2%28y%29%285%29%2B%285%29%5E2)
![(y+5)^2=y^2+10y+25](https://tex.z-dn.net/?f=%28y%2B5%29%5E2%3Dy%5E2%2B10y%2B25)
b.) (y - 5)(y + 5)
To be able to simplify the following expression. We will be using the formula for the difference of two squares.
![(a+b)(a-b)=a^2-b^2](https://tex.z-dn.net/?f=%28a%2Bb%29%28a-b%29%3Da%5E2-b%5E2)
We get,
![\mleft(y-5\mright)\mleft(y+5\mright)=(y)^2-(5)^2](https://tex.z-dn.net/?f=%5Cmleft%28y-5%5Cmright%29%5Cmleft%28y%2B5%5Cmright%29%3D%28y%29%5E2-%285%29%5E2)
Answer:
x = 25 degrees ∠HKL = 102 degrees
Step-by-step explanation:
The whole thing equals 180, since it is a straight angle
The value of HKL is 180 - 78 = 102
So that means 4x + 2 = 102
Subtract 2 from both sides:
4x = 100
Divide both sides by 4:
x = 25
First, lets convert them into multipliers:
The multiplier for a:
25% increase = 1.25
40% decrease = 0.6
40% increase = 1.4
Now to work out the overall percentage change, we just times all of the multipliers together, and convert it back to a percentage:
1.25 x 0.6 x 1.4 = 1.05
So the overall multiplier is 1.05
And a multiplier of 1.05 = a <u>5% increase</u>.
That means that the percentage change is + 5%
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Answer:
The percentage change in shares from the start of 2013 to the end of 2015 is:
+ 5%
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Note: if you haven't been taught multipliers - then ask and I'll try my best to explain!
Answer:
hi
Step-by-step explanation:
hi