The answer is: [C]: "no solution" .
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Given: 3y = 3/2 x + 6 ; Multiply each side by "2" ; to get rid of the fraction
2 * { 3y = 3/2 x + 6 } ; to get: 6y = 3x + 12
Given: 1/2 y –1/4 x = 3 ; Multiply EACH SIDE by "4" ; to get rid of the fraction ;
4 * { 1/2 y – 1/4 x = 3 } ; to get: 2y – x = 12 ;
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So we have:
6y = 3x + 12 ;
2y – x = 12 ;
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Multiply BOTH side of the "second equation" by "-1" ;
-1 * { 2y – x = 12 } ;
to get : x – 2y = -12 ;
Now, add "2y" to each side of the equation;
to isolate "x" on one side of the equation; & to solve for "x" ;
x – 2y + 2y = -12 + 2y ;
to get: x = 2y – 12 ;
Now, consider the "first equation" ;
6y = 3x + 12 ;
Divide EACH SIDE of this equation by "3" ;
6y / 3 = (3x + 12) / 3 ;
to get: 2y = x + 4 ;
Divide EACH SIDE of the equation by "2" ;
2y/ 2 = ( x + 4) /2 ;
to get: y = (x + 4) / 2 ;
Now plug in our calculated value for "x" ; which is:
" x = 2y – 12 " ; for the "x" values
y = [ (2y – 12)] + 4)] / 2 ;
y = (2y – 8 )/ 2
2y = 2y – 8 ??? ;;
The answer is: [C]: "no solution" .
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Answer:
Null hypothesis : 
Alternate hypothesis : 
Step-by-step explanation:
To Find : State the hypotheses to be tested.
Solution
Mean = 72
Standard deviation = 20
N = 30
Claim : Shorney Construction Company bids on projects assuming that the mean idle time per worker is 72 or fewer minutes per day.
So, Null hypothesis :
Alternate hypothesis :
The sum of all 3 angles in a triangle is 180
180-44=136
And you know that angle A is over 90 degrees so I believe it is 100 leaving angle b to be 36
Answer:
B
Step-by-step explanation:
Apply slope intercept form, y2-y1 / x2 - x1. -6 is y2, -2 is x2, 5 is y1, and -2 is x1.
-6 - 5 / - 2 - (-2)
-11 / -2 + 2
-11 / 0
0
The slope is 0. B is your answer. I hope this helps you!
Answer:
When they are equal, y=y, so we can say:
x^2+5x-2=x+1 subtract x from both side
x^2+4x-2=1 add 2 to both sides
x^2+4x=3, now add half the linear coefficient squared, (4/2)^2=4
x^2+4x+4=3+4 now the left side is a perfect square
(x+2)^2=7 now take the square root of both sides
x+2=±√7 subtract 2 from both sides
x=-2±√7
x=-2+√7 and -2-√7
y=x+1 the two points where these equations are equal are:
(-2-√7, -1-√7) and (-2+√7, -1+√7)
or approximately:
(-4.65, -3.65) and (0.65, 1.65)
Step-by-step explanation:
