Categorize each of the following physical
First, we can simplify the 12/6 to 2/1 by factoring our 6. Next, remember that when we divide the same base with different exponents, we subtract the exponents. Thus, x^5/x^2 = x^(5-2) = x^3. Thus, the answer is 2x^3.
Answer:
Step-by-step explanation:
No solutions....means the lines are parallel...means ur 2 equations have to have the same slope but different y intercepts
y = 2x + 4 and y = 2x + 3
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Infinite solutions...means u have the same line
y = 2x + 4 and 2y = 4x + 8....notice how if u reduce the 2nd one by dividing everything by 2 u get y = 2x + 4...same line
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1 solution....means ur equations will have different slopes and different y intercepts.
y = 2x + 4 and y = 4x + 2
now, u can pick which one u want :)
As per the direct variation formula, it take 11 hours : 6 minutes : 36 seconds to earn $25,000 for the restaurant.
Direct variation:
Direct Variation is said to be the relationship between two variables in which one is a constant multiple of the other.
Direct variation equation: y = kx
Given,
A local fast food restaurant takes in $9000 in a 4 hours period. Write a direct variation equation for the relationship income and number of hours.
Here we need to estimate how many hours it would take the restaurant to earn $25,000.
a) Let us consider income (I) directly varies to number of hours (h) where k is the constant of variation.
I = kh ⇒ Direct variation equation
Solve for k:
9,000 = (k)(4)
k = 9,000/4
k = 2,250
b) When income (I) = 25,000, find the number of hours:
I = kh
25,000 = (2,250) (h)
h = 25,000/2,250
h = 11.11
It will take approximately 11 hours : 6 minutes : 36 seconds for the restaurant to earn $25,000.
To know more about Direct variation here.
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