Answer:
13 2/3
Step-by-step explanation:
Answer:
The solution is the point (18,0)
Step-by-step explanation:
we have
-----> equation A
-----> equation B
Solve the system by substitution
substitute equation B in equation A

solve for x
Adds (1/3)x both sides


Adds 6 both sides



<em>Find the value of y</em>
substitute the value of x in equation A or equation B

therefore
The solution is the point (18,0)
Name Score
Julia 650
Andrew 550
Jason 380
Cathy 720
Jessica 710
Robert 550
Point estimate for the mean score:
Sample mean = sum of all observations / number of observations
sample mean = (650+550+380+720+710+550) / 6
sample mean = 3560 / 6
sample mean = 593.33
The point estimate for the mean score is 593.33
Answer/Step-by-step explanation:
The rhombus when split into two triangles will give us two equilateral triangles that are congruent to each other.
Therefore:
The two bases of both triangles will have equal angle measures of 4x + 5 each and a third angle measure of 8x - 6.
✅Formula to find the value of x:
(8x - 6) + 2(4x + 5) = 180° (sum of triangle)
8x - 6 + 8x + 10 = 180
8x + 8x - 6 + 10 = 180
16x + 4 = 180
16x + 4 - 4 = 180 - 4
16x = 176
16x/16 = 176/16
x = 11
The value of the x will be 12. The value of the x is obtained from the condition,(f – g)(x) = 0
<h3>What exactly is a function?</h3>
A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.
Given function;
f(x) = 16x – 30
g(x) = 14x – 6
⇒(f – g)(x) = 0
⇒(16x – 30)-(14x – 6)=0
⇒16x-30-14x+6=0
⇒2x-24=0
⇒x=24/2
⇒x=12
Hence, the value of the x will be 12.
To learn more about the function, refer to:
brainly.com/question/5245372
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