The expression for the greatest common factor of 20 and 30 using the distributive property is 10(2 + 3)
Pounds of ice = 20
Number of cups = 30
The relation for the distributive property :
a × (b + c)
Expand ;
a × (b + c) = (a × b) + (a × c) = ab + ac
Finding the greatest common factor of 20 and 30 ;
(2 × 10) + (3 × 10)
According to the distributive property
(2 × 10) + (3 × 10) = 10(2 + 3)
Therefore, the expression for the greatest common factor is 10(2 + 3)
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The inverse of the function is f(x) = 
+ 8
In order to find the inverse of any function, start by switching the f(x) and x. Then solve for the new f(x). The result will be the inverse function. The work is below for you.
f(x) = ![\sqrt[3]{x - 8}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bx%20-%208%7D%20%20)
----> Switch f(x) and x
x = ![\sqrt[3]{f(x) - 8}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bf%28x%29%20-%208%7D%20%20)
----> Cube both sides
= f(x) - 8 ----> Add 8 to both sides
f(x) = + 8
5 + 27 ÷ 3 / 6 + 1 - Remember PEMDAS, so start by dividing 27 by 3.
5 + 9 / 6 + 1 - Next, add
14 / 7 Lastly, Divide.
2
Answer:
The third and fourth options.
Step-by-step explanation:
You simplify the inequality first...
-6x + 15 < 10 - 5x
-x < -5
x > 5
The first option is incorrect since it is less than.
The second option is basically -5x < 15; x > -3; that's incorrect.
The third option is basically -x < -5; x > 5; that is correct!
The fourth option is correct since it shows more than 5.
The fifth option is incorrect because it shows less than -5.
Hope this helps!
The answer would be 2.4 meters per second. To find this, you would divide the 50 meters by 21 seconds. It equals 2.380952, and rounds to 2.4m/s.
