Graph these equations: x+2y=6, y=-1/2x+4 How many solutions does the system of equations have?
1 answer:
Answer:
The system has no solution
Step-by-step explanation:
we have
Isolate the variable y
Divide by 2 both sides
---> equation A
---> equation B
Compare the equations
Equation A and equation B have the same slope and different y-intercept
Remember that
If two lines have the same slope, then the lines are parallel
The solution of the system is the intersection point both graphs
In this problem, the lines don't intersect, therefore, the system has no solution
using a graphing tool
The graph in the attached figure
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Answer:
The value of is 10.
Step-by-step explanation:
If APR and SPL are vertical angles, then we get that . Given that
and
, we find that the value of
is:
The value of is 10.
Answer:
percentage change=25% .
Step-by-step explanation:
Given : $15.60 to $11.70 .
To find: What is the percent change .
Solution: We have given that $15.60 to $11.70 .
Change = final value - initial value .
Change = $15.60 - $11.70
=$3.9
percentage change =
=
= .
On dividing both number by 3
percentage change=.
percentage change=.
percentage change=25% .
Therefore, percentage change=25% .
Answer:
a) 0.3571 = 35.71% probability that the stock price will be more than $25.
b) 0.1429 = 14.29% probability that the stock price will be less than or equal to $18.
Step-by-step explanation:
Uniform probability distribution:
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:
The probability of finding a value between c and d is:
The probability of finding a value above x is:
Uniformly distributed between $16 and $30 per share.
This means that
a) More than $25?
0.3571 = 35.71% probability that the stock price will be more than $25.
b) Less than or equal to $18?
0.1429 = 14.29% probability that the stock price will be less than or equal to $18.