Answer:
Diverges
Step-by-step explanation:
For the improper integral to converge the limit must exist, if the limit does not exist or is infinite the integral diverges;
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Where a and be is infinity
The solution of this is infinity and therefore the integral diverges because the first expression is undefined because ∞/∞, the second term is 4·∞ which is infinity and infinity added to any number is infinity
Answer: the system of equations are
3x + y = 14
y = 4x
Step-by-step explanation:
Let x represent the number of three point shots that Hailey made.
Let y represent the number of free throws(worth one point each) that Hailey made.
Hailey made some three point shots and some free throws and
scored a total of 14 points. This would be expressed as
3x + y = 14
Hailey made 4 times as many free throws as three point shots. This would be expressed as
y = 4x
We model the ticket as a rectangle.
For this case what you should know is that the perimeter of the rectangle is given by:
P = 2w + 2l
The area of the rectangle is given by:
A = w * l
In both cases:
w: width
l: long
We have the following system of equations:
32 = 2w + 2l
60 = w * l
Solving the system we obtain:
The dimensions of the ticket are:
(10 cm) * (6 cm)
Answer: the dimensions of the ticket are: (10 cm) * (6 cm) Note: see attached image for system solution
Answer:
yes they are
Step-by-step explanation:
they are both congruent because they are the same shape and size, they are just on opposite sides
(congruent means that 2 objects are the same shape and size)
