Answer:
Frida
Step-by-step explanation:
y = 1000(2)^x
Mrs. Smith is saying that the number of termites will double each week, and Mr. Smith is saying that the number of termites will increase by 100% each week.
Let's just look at (2)^x. If we substitute numbers for x, we get:
- x = 1 ⇒ 2
- x = 2 ⇒ 4
- x = 3 ⇒ 8
- x = 4 ⇒ 16
- x = 5 ⇒ 32
- x = 6 ⇒ 64
- x = 7 ⇒ 128
We can see that the output number doubles by 2, or in other words, increases by 100% of its value.
Therefore, Frida is correct in thinking that both Mr. and Mrs. Smith's interpretations are correct.
Answer:
The variable is x.
The value of the variable is 9.2.
Step-by-step explanation:
The equation shows the variable x multiplied by 3.5 with the result of that multiplication being 32.2. In order to solve for x, you must "undo" that multiplication.
The definitions of the multiplicative inverse and of the multiplication identity element tell you how to do that. The multiplicative inverse of a number is its reciprocal: the multiplicative inverse of 3.5 is 1/3.5. Multiplying a number by its multiplicative inverse gives a result of 1. Here, that means ...
3.5 × (1/3.5) = 1
The property of the multiplicative identity element (1) is that anything multiplied by that is just that thing:
x · 1 = x
So, to solve this equation, you multiply both sides by the multiplicative inverse of 3.5:
3.5x = 32.2
(1/3.5)(3.5)x = (1/3.5)(32)
1x = 9.2 . . . . . carry out the multiplication
x = 9.2 . . . . . . recognize 1x = x
___
You will recognize that multiplying by 1/3.5 is the same as dividing by 3.5. In other words, we solve this equation by dividing it by the coefficient of x.
Answer:
58
Step-by-step explanation:
add 4 eight more times
Answer:
B
Step-by-step explanation:
125x^3 = (5x)^3
125x^3 is the cube of 5x.
169 = 13^2
169 is the square of 13, but not the cube of a rational number.
The statement is false.
