Given:
The system of equations is


To find:
The graph of the given system of equations and its solution.
Solution:
The table of values for
is
x y
-4 7
-2 2
0 -3
Plot these points and connect them by a straight line.
The table of values for
is
x y
-4 0
-2 2
0 4
Plot these points and connect them by a straight line.
From the below graph it is clear that the lines intersect each other at point (-2,2).
Therefore, the solution of given system of equation is (-2,2).
Answer:
1. $361800
Step-by-step explanation:
Given,
principle balance=$670
interest rate=8%

A= Final amount
P= initial Principal balance
r= interest rate
n= number of times interest applied per time period
t= number of times period elapsed
compound interest formula,
Therefore the Present value is $361800
If the average of x and y is 11 and the average of x, y and z is 5, then the value of z is -7
Given,
The average of x and y = 11
We know average = Sum of the terms / Number of terms
Then, the equation will become

x+y =11×2
x+y =22
Average of x, y and z = 5

x+y+z = 5×3
x+y+z =15
Substitute the value of x+y
22+z=15
z =15-22
x = -7
Hence, If the average of x and y is 11 and the average of x, y and z is 5, then the value of z is -7
Learn more about average here
brainly.com/question/12984400
#SPJ4
<h2>
Answer:</h2>
cos 28°cos 62°– sin 28°sin 62° = 0
<h2>
Step-by-step explanation:</h2>
From one of the trigonometric identities stated as follows;
<em>cos(A+B) = cosAcosB - sinAsinB -----------------(i)</em>
We can apply such identity to solve the given expression.
<em>Given:</em>
cos 28°cos 62°– sin 28°sin 62°
<em>Comparing the given expression with the right hand side of equation (i), we see that;</em>
A = 28°
B = 62°
<em>∴ Substitute these values into equation (i) to have;</em>
<em>⇒ cos(28°+62°) = cos28°cos62° - sin28°sin62°</em>
<em />
<em>Solve the left hand side.</em>
<em>⇒ cos(90°) = cos28°cos62° - sin28°sin62°</em>
⇒ 0 = <em>cos28°cos62° - sin28°sin62° (since cos 90° = 0)</em>
<em />
<em>Therefore, </em>
<em>cos28°cos62° - sin28°sin62° = 0</em>
<em />
<em />
The slope of the line is 1. the equation would be y=x-3