Answer:
x= 200
Step-by-step explanation:
The given equation is:
1/5 x - 2/3 y = 30
The value of y is 15
Put the value of y in the given equation:
1/5 x - 2/3(15) = 30
1/5 x- 10 = 30
Take the L.C.M of the denominator
x-50/5 = 30
Move the denominator to the R.H.S
x-50 = 30*5
x-50 = 150
Combine the like terms
x= 150+50
x = 200
The value of x is 200...
Answer:
0
Step-by-step explanation:
Quadratic equation
The discriminant is the part of the quadratic formula within the square root symbol: 
. The discriminant indicates if there are two solutions, one solution, or none.
The discriminant can be positive, zero or negative which determines how roots exist for the given quadratic equation.
So, a positive discriminant tell us that the quadratic has two different real solutions.
A discriminant of zero tell us that the quadratic has two real and equal solutions.
And a negative discriminant tell us that none of the solutions are real numbers.
In this case: 25x^2-10x+1=0
We can see that
a= 25 b=-10 c=1
Using:
We have 
the answer is zero, so the quadratic has two real and equal solutions
Answer:
must also be positive
Step-by-step explanation:
The sign of the correlation coefficient indicates whether the fitted line is sloping upwards or downwards, so it should be consistent with the sign of the slope of the fitted line. so if the correlation line is poitive so should the regression line
Answer:
17
Step-by-step explanation:
m<1 = (4x + 2)
m<3 = (5x - 15)
To find the value of x, we need to generate an equation.
<1 and <3 are vertical angles. Vertical angles are congruent. Therefore:
m<1 = m<3
(4x + 2) = (5x - 15)
Use this equation to solve for x
4x + 2 = 5x - 15
Subtract 5x from both sides
4x + 2 - 5x = 5x - 15 - 5x
-x + 2 = -15
Subtract 2 from both sides
-x + 2 - 2 = -15 - 2
-x = -17
Divide both sides by -1
x = 17
