Since the grade of the numerator and the denominator is the same, then the limit exists and is distinct from 0. The limit of the expression is 4/7.
<h3>How to determine the limit of a rational expression when x tends to infinite</h3>
In this problem we must apply some algebraic handling and some known limits to determine whether the limit exists or not. The limit exists if and only if the result exists.




4/7
Since the grade of the numerator and the denominator is the same, then the limit exists and is distinct from 0. The limit of the expression is 4/7.
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Answer:
y=0.2x-20
Step-by-step explanation:
1) the common view of the line in the slope-intercept form is:
y=s*x+i, where s - the value of the slope (it is 0.2 according the condition), i - the value of intercept (to be calculated);
y=0.2*x+i.
2) if to substitute the given coordinates (1.25;-17.5) into the common view, then:
-17.5=1.25*0.2+i;
it is possible to calculate the value of 'i': i= -20.
3) if the slope=0.2, the intercept= -20, then the required equation of the line is:
y=0.2x-20.
116 + 38 = 78
78 / 2 = 39
The Answer: 39
Answer:
The height of the pyramid is 
Step-by-step explanation:
we know that
The volume of a square pyramid is equal to

we have


substitute and solve for h



The equation that represents the amount saved by Alyssa after tt weeks is AA = 100 + $7tt
The equation that represents the amount saved by Colton after tt weeks is CC = $55 + $10tt
The amount they would have when they have same amount of money is $205.
<h3>What equation represents the total amount saved?</h3>
The total amount saved: inital amount + (amount saved per week x total number of weeks
AA = 100 + $7tt
CC = $55 + $10tt
<h3>What would be the amount when they have the same amount of money?</h3>
$55 + $10tt = 100 + $7tt
Combine similar terms and solve for tt
100 - 55 = 10tt - 7tt
45 = 3tt
tt = 15 weeks
100 + $7(15) = $205
To learn more about linear functions, please check: brainly.com/question/26434260