Let's use the variable, x, to represent the unknown number.
We can represent the words, "the sum of a number and six, as : x + 6
The words, " 2 less than the sum", can be represented as: x + 6 - 2
The words, "the product of the number and three", can be written as: 3x
Now create an equation using "is equal to" to join the expressions:
x + 6 -2 = 3x
Now combine like terms and use inverse operations to solve for x:
x + 6 -2 = 3x
x + 4 = 3x
x + 4 - x = 3x - x
4 = 2x
4/2 = 2x/2
2 = x
The unknown number is 2
Answer:
C. ![f(x)=\sqrt[3]{-x} -1](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B3%5D%7B-x%7D%20-1)
Step-by-step explanation:
Consider graph of the parent function (red curve in attached diagram)
![g(x)=\sqrt[3]{x}](https://tex.z-dn.net/?f=g%28x%29%3D%5Csqrt%5B3%5D%7Bx%7D)
First, multiply it by -1 to get function
![h(x)=-\sqrt[3]{x}](https://tex.z-dn.net/?f=h%28x%29%3D-%5Csqrt%5B3%5D%7Bx%7D)
Then translate the graph of the function h(x) 1 unit down, then you'll get the function
![f(x)=-\sqrt[3]{x} -1\\ \\ \text{or}\\ \\f(x)=\sqrt[3]{-x} -1](https://tex.z-dn.net/?f=f%28x%29%3D-%5Csqrt%5B3%5D%7Bx%7D%20-1%5C%5C%20%5C%5C%20%5Ctext%7Bor%7D%5C%5C%20%5C%5Cf%28x%29%3D%5Csqrt%5B3%5D%7B-x%7D%20-1)
The graph of the function f(x) is represented by the blue curve in attached diagram
Answer:
a. The part: 250 The percent: 30% The whole: 833.34
b. $833.34
Step-by-step explanation:
- Since we don't know the original price, we can put it as the variable "x".
- Equation: 30% * x = $250
- x = 833 1/3
- The original price of the TV is about $ 833.34
Answer:
4 centimeters
Step-by-step explanation:
width = area/length
width = 76/19 = 4 centimeters
