Answer:
For each number in set A, there is one mapping from set A (input) to set B (output), so the mapping represents a function
Step-by-step explanation:
The relation is a function if and only if each input value has only 1 output value
<u><em>Examples:</em></u>
- The relation {(1, 2), (-3, 5), (0, 10)} is a function because every input has only one output, the input 1 has only output 2, the input -3 has only output 5, the input 0 has only output 10
- The relation {(-1, -2), (3, -5), (-1, 1)} is not a function because the input -1 has two outputs -2 and 1
Let us solve the question
Use the given figure to find the inputs and their corresponding outputs
Set A →→→→ Set B
∵ -3 →→→→ 2
∵ -4 →→→→ 4
∵ 9 →→→→ -2
∵ 1 →→→→ 7
∵ Set A is the input and set B is the output
∵ There is only one arrow go from each value in set A to a value in set B
∴ For each number in set A, there is one mapping from set A to set B
∴ The mapping represents a function
For each number in set A, there is one mapping from set A (input) to set B (output), so the mapping represents a function
The logarithmic expression ![\rm log_w\dfrac{(x^2-6)^4}{\sqrt[3]{x^2-8}}](https://tex.z-dn.net/?f=%5Crm%20log_w%5Cdfrac%7B%28x%5E2-6%29%5E4%7D%7B%5Csqrt%5B3%5D%7Bx%5E2-8%7D%7D)
can be expressed as 
.
Given to us
<h3>Which expression is equivalent to
?</h3>
To solve the problem we will use the basic logarithmic properties,
Using the logarithmic property 
,
![=\rm log_w{(x^2-6)^4} - log_w{\sqrt[3]{x^2-8}}](https://tex.z-dn.net/?f=%3D%5Crm%20log_w%7B%28x%5E2-6%29%5E4%7D%20-%20log_w%7B%5Csqrt%5B3%5D%7Bx%5E2-8%7D%7D)
Using the exponential property ![\sqrt[m]{a^n} = a^{\frac{n}{m}}](https://tex.z-dn.net/?f=%5Csqrt%5Bm%5D%7Ba%5En%7D%20%3D%20a%5E%7B%5Cfrac%7Bn%7D%7Bm%7D%7D)
,
Using the logarithmic property 
,
Hence, the logarithmic expression can be expressed as .
Learn more about Logarithmic Expression:
brainly.com/question/7302008
Answer:
Area of rectangle box = 2,920 CM²
Step-by-step explanation:
Given:
Length = 42 Cm
Width = 20 Cm
Height = 10 Cm
Find:
Total area required to make box = ?
Computation:
Area of rectangle box = 2[LB + BH + HL]
Area of rectangle box = 2[(42 × 20) + (20 × 10) + (10 × 42)]
Area of rectangle box = 2[(840) + (200) + (420)]
Area of rectangle box = 2[1,460]
Area of rectangle box = 2,920 CM²
X×2=10
X=10÷2
X=5
Proof: 5×2=10
Answer:
The recommended daily intake of sodium for a 2000 calorie diet is 2500 mg.
Step-by-step explanation:
In order to calculate the daily intake of sodium we first need to calculate the mass of sodium present in both snacks, this is given by their sum.
We can now apply a rule of three for which the total sodium from the snacks is related to 66.4% in the same proportion as "x" mg, which is the value we want to know, is related to 100%. So we have:
The recommended daily intake of sodium for a 2000 calorie diet is 2500 mg.
