Answer:
<h2> (-1,1)</h2>
Step-by-step explanation:
Given system is
If we graph, the solution would be the interception point between these two lines, because each linear equation represents a line. The lines are attached.
In the graph, you can observe that the solution is the point (-1,1), that is x = -1 and y = 1.
Now, if we want to solve this system by another method, we can just sum both equations and solve for <em>x</em>
Then, we replace this value in one equation to find the other value
Therefore, the solution is (-1,1)
Answer:
The solutions are x = -7, 6.
Step-by-step explanation:
To find the solutions, move everything to one side of the equation so the equation is equal to 0. Then factor. Set the factors equal to 0 and solve for x.
x+7 = 0
x = -7
and
x-6 = 0
x = 6
The solutions are x = -7, 6.
Answer:
$6750 in the bank account and $20,250 in the stock fund
Step-by-step explanation:
If B is the money they put in the bank and S is the amount they put in the stock fund, then:
B + S = 27000
1.024 B + 1.072 S = 1.06 × 27000
Solving the system of equations:
1.024 (27000 − S) + 1.072 S = 28620
27648 − 1.024 S + 1.072 S = 28620
0.048 S = 972
S = 20250
B = 27000 − S
B = 6750
They should put $6750 in the bank account and $20,250 in the stock fund.
Answer:
$0.95
Step-by-step explanation:
Given that weight of the function = x
Given that cost of the postage for mail having weight less than or equal to 1 oz = $0.44
then to find the equation can be written as
C(x)=0.44 where 0<x<=1
Similarly we can write equation for other parts
C(x)=0.61 where 1<x<=2
C(x)=0.78 where 2<x<=3
C(x)=0.95 where 3<x<=3.5
Now we can write them together as piecewise function as shown in below:
to graph that we just draw horizontal lines for each as none equation contains x on the right side .
3.48 oz is less that 3.5 so we will use $0.95.
If you there isn't enough digits to place, just add zeroes to product to make it a full product or don't even use a decimal point at all.
