Answer:
Except k=7, any real number for k would cause the system of equations to have no solution.
Step-by-step explanation:
In general a system of equations can be represented as ax+by=c and dx+ey=f. In order this system of equations to have NO SOLUTIONS a/d=b/a≠c/f. In our example a=6, b=4, c=14, d=3, e=2 and f=k. To apply the formula above, 6/3=4/2≠14/k. Hence k≠7. It can be concluded that except k=7, any real number for k would cause the system of equations to have no solutions.
Just for information, if k=7 the system will have infinitely many solutions.
Answer:
The input value that produces the same output value in both charts is 2.
Step-by-step explanation:
You are given two functions 
and 
with tables
and
First, fill in the second table:
Hence, the second table is
The input value that produces the same output value in both charts is 2.
<h2>
Answer:y=12+2.25x,$23.25</h2>
Step-by-step explanation:
It is given that $
is charged for admission.
It is given that $
is charged for each pound of peaches picked.
So,cost for 
peaches is 
The total cost of admission and picking peaches is 
When 
,
total cost is 
So,it costs $
for admission and picking 
peaches.
Let the number of corn acres be xx and the number of wheat acres be yy.
We are given that:
1- The total number of acres is 180, this means that:
xx + yy = 180 ..............> equation I
2- The number of corn acres is 3 times that of wheat. This means that:
xx = 3yy .........> equation II
Substitute with equation II in equation I to get the value of yy as follows:
xx + yy = 180
3yy + yy = 180
4yy = 180
yy = 45 acres
Now substitute with yy in equation II to get xx as follows:
xx = 3yy
xx = 3*45
xx = 135 acres
Based on the above calculations:
acres of corn = xx = 135 acres
acres of wheat = yy = 45 acres
