Answer:
An equation is used when we have paired sets of data to describe how the values in one pair change when we alter the values in the other set.
On the other hand, a series gives a general formula of determining the value of the nth observation when the values have been arranged in increasing order
Step-by-step explanation:
An equation such as; y = 3x+5 models the relation between the response variable y and the predictor variable x. It tells us how y changes when x is altered by a certain magnitude. The value 3 is described as the slope while 5 is the y-intercept.
On the other hand, a series such as; score = 2 + 3n provides a general formula that can be used to determine the score of the nth individual in a sample or population.
Answer:
a) 1/27
b) 16
c) 1/8
Step-by-step explanation:
a)
One of the properties of the exponents tells us that when we have a negative exponent we can express it in terms of its positive exponent by turning it into the denominator (and changing its sign), so we would have:
And now, solving for x = 9 we have:
b)
This is already a positive rational exponent so we are just going to substitute the value of y = 8 into the expression
c)
Using the same property we used in a) we have:
And now, solving for z = 16 we have:
Answer:
My guess is 21
Step-by-step explanation:
Answer:
All are correct.
Step-by-step explanation:
Let x be the number of movies and y be the number of newly released video games.
Larry has a gift card worth 400 for a local entertainment store Movies cost $20 each and newly released video games cost $50 each.
Larry must purchase at least nine items.
Check both inequalities of all given ordered pairs.
For (5,6),
Point (5,6) satisfy both inequalities.
For (10,4),
Point (10,4) satisfy both inequalities.
For (20,0),
Point (20,0) satisfy both inequalities.
For (15,2),
Point (15,2) satisfy both inequalities.
Therefore, all combination of movies and newly released video games Larry could purchase using his gift card.