The system of equations have 2 solutions
<h3>How to determine the number of solutions?</h3>
The system of equations is given as:
-1/3x² = 5/6 + 1/3y²
5y² = 25/2 - 5x²
Next, we plot the graph of the system of equations.
From the attached graph, the equations intersect at two points
Hence, the system of equations have 2 solutions
Read more about system of equations at:
brainly.com/question/12895249
#SPJ1
Answer:
The population mean is 5 volts
Step-by-step explanation:
Output voltage is assumed to be normally distributed, with standard deviation 0.25 Volts
s=0.25
n = 8

Sample mean = 
Since n < 30 and population standard deviation is unknown
So, we will use t test
Formula : 

t=-1.69
Refer the t table for p value
Degree of freedom = n-1 = 8-1 = 7
So,
P value >α
So, We are failed to reject null hypothesis
Hence The population mean is 5 volts
Since this is a triangle all the angles within the triangle add up to 180 degrees so....
82+(9x+2)+(7x)=180
82+2+16x=180
16x+84=180
16x=96
X=6
If we plug in X to angle(9x+2) and angle (7x) we will get 56 and 42. We can get angle 2 by subtracting 180-42 which is 138
FINAL ANSWER: 138 degrees
Answer:
x = -.5
Step-by-step explanation:
x - 2.5 = -3
Add 2.5 to each side
x - 2.5+2.5 = -3+2.5
x = -.5
Pemdas
parenthasees exponents mult/division additon/subtraction
parethenasees
x-3 and x+5 we can't do anything with so next
5(x-3)=5x-15
2(x+5)=2x+10
5x-15+2=5x-13
(2x+10-9)=2x+1
(5x-13)-3(2x+1)
-3(2x+1)=-6x-3
5x-13-6x-3=-x-16
4(-x-16)=-4x-64
the answer is -4x-64