Answer:
<h2><em>
4x³</em></h2>
Step-by-step explanation:
8x⁴y⁴ = 4×2×x³×x¹×y⁴ = 4x³×(2xy⁴)
12x³z² = 4×3×x³×z² = 4x³×(3z²)
Then the greatest common factor is of the two terms 8x⁴y⁴ and 12x³z² is:
4x³
You multiply or divide integers just as you do whole numbers, except you must keep track of the signs. To multiply or divide signed integers, always multiply or divide the absolute values and use these rules to determine the sign of the answer.
<span>
When you multiply two integers with the same signs, the result is always positive. Just multiply the absolute values and make the answer positive.</span>
<span>Positive x positive = positive
Negative x negative = positive</span>
<span>When you multiply two integers with different signs, the result is always negative. Just multiply the absolute values and make the answer negative.</span>
<span>Positive x negative = negative
Negative x positive = negative</span>
<span>When you divide two integers with the same sign, the result is always positive. Just divide the absolute values and make the answer positive.</span>
<span>Positive ÷ positive = positive
Negative ÷ negative = positive</span>
<span>When you divide two integers with different signs, the result is always negative. Just divide the absolute values and make the answer negative.</span>
<span>Positive ÷ negative = negative
Negative ÷ positive = negative</span>
- The domain of this relationship can be defined as,
0 ≤ x ≤ 60
- The range of this relationship can be defined as,
0 ≤ y ≤ 40
Definition of Domain and Range
The set of all the possible input values for which the provided function is defined is termed as the domain of that function.
The set of all the possible values that a given function can generate as an output is termed as the range of that function.
Forming the Relation
It is given that,
- Jackson wants to purchase 2 shirts and 3 pairs of pants with his gift card
- x represents the cost of the shirts and y represents the cost of the pants
- The limit of the gift card = $120
Thus, the relation formed is given by,
Domain and Range of the Given Relation
We have,
⇒ 
⇒ 
Thus, the domain is given by,
⇒ 
Similarly,
⇒ 
Thus, the range is given by,
⇒ 
Learn more about domain and range here:
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Answer:
A
Step-by-step explanation:
The volume of a cone has the formula:
Where
V is the volume
r is the radius
h is the height
Given,
h = 50
V = 5400π
We want the radius, r.
Lets substitute and solve for r:
The radius is 18 meters
Correct answer A
Answer:
First calculate 49^8
Then take the square root of that answer.
Final answer is 5,764,801
