Answer:
<h3>No, they are not equivalent</h3>
Step-by-step explanation:
Are the following systems equivalent? How do you know?
For the equation;
2x+y= -4 ... 1
7x+7y=0 ... 2
Let us find the solution of the equation;
From 1;
y = 4 - 2x
Susbtitutw into 2;
7x + 7(4-2x) = 0
7x + 28 - 14x = 0
-7x + 28 = 0
7x = 28
x = 28/7
x = 4
Recall that y = 4-2x
y = 4 - 2(4)
y = 4 - 8
y = -4
The solution is (4, -4)
For the other equations;
5x+6y= 4 ... 1 * 1
4x+2y= -4 ..... 2 * 3
___________________
5x+6y= 4
12x+6y= -12
Subtract
5x-12x = 4 + 12
-7x = 16
x = -16/7
Since the solutions to both simultaneous equations are different, hence the systems of equations are not equivalent.
I believe it should have 6 turning points.
Hope this helped
Answer:
x = 110°
Step-by-step explanation:
the sum of the exterior angles of a polygon = 360°
the exterior angle to 109° is
180° - 109° = 71° ( adjacent angles on a straight line )
then summing the exterior angles and equating to 360°
63° + 66° + 50° + x + 71° = 360° , that is
250° + x = 360° ( subtract 250° from both sides )
x = 110°
Answer:
110 bonus payments
Step-by-step explanation:
Yearly salary is 20,000. So in 6 years, she will get:
20,000 * 6 = 120,000
Her agent's expectation is 1,000,000 and her salary would cover 120,000
So remaining is 1,000,000 - 120,000 = 880,000
This amount will be taken from bonus payments where bonus is 8000 for every game that attracts 100+ fans. SO we divide 880,000 by 8000 to get the number of bonus payments.
880,000/8000 = 110
If y=100 when x=5, then
xz=y (or x times z=y)
so now we know that there is a z, too!
for this problem:
we know that:
x=9
y=? answer: if x=9, then y=180
z=20
20
x 9
___
180
$orry if I confused you!