2^4 = 16
3^5 = 243
16 - 243 = -227
Answer:
Step-by-step explanation:
<u>The quotient of -7 and y is:</u>
Answer:
$81 of interest would be earned
Step-by-step explanation:
A=prt
A= (900)(0.03)(3)
A = 81
Answer:
The ball lands 18 feet from where it is kicked.
Step-by-step explanation:
Given : The path of a ball kicked from the ground can be modeled by the equation
, where x and y are measured in feet. The x-axis represents the ground.
To find : How far does the ball land from where it is kicked?
Solution :
According to question,
The value of y is zero as it is kicked from ground.
So, ![0=-\frac{1}{3}(x-3)(x-21)](https://tex.z-dn.net/?f=0%3D-%5Cfrac%7B1%7D%7B3%7D%28x-3%29%28x-21%29)
Applying zero product property,
![a\cdot b\cdot c=0\Rightarrow a=0\text{ or }b=0\text{ or }c=0](https://tex.z-dn.net/?f=a%5Ccdot%20b%5Ccdot%20c%3D0%5CRightarrow%20a%3D0%5Ctext%7B%20or%20%7Db%3D0%5Ctext%7B%20or%20%7Dc%3D0)
i.e. ![-\frac{1}{3}\cdot (x-3)\cdot (x-21)=0](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B3%7D%5Ccdot%20%28x-3%29%5Ccdot%20%28x-21%29%3D0)
![x-3=0](https://tex.z-dn.net/?f=x-3%3D0)
![\Rightarrow x=3](https://tex.z-dn.net/?f=%5CRightarrow%20x%3D3)
![\text{ or }x-21=0](https://tex.z-dn.net/?f=%5Ctext%7B%20or%20%7Dx-21%3D0)
![\Rightarrow x=21](https://tex.z-dn.net/?f=%5CRightarrow%20x%3D21)
The distance the ball land from where it is kicked is d=21-3=18.
Therefore, the ball lands 18 feet from where it is kicked.
Answer is D. 21 x 7 x 13
<span>commutative property: </span>changing order of the numbers