Answer:
x=4
Step-by-step explanation:
You put 9x+6y=78 over 3x-6y=-30. Then, you are going to add the two equations. So, you are going to do 9x+3x, 6y-6y (since the second 6 is negative, it ends up subtracting), and 78-30. You will end up canceling the 6y's, and end up with 12x=48. Then, you will divide 48 by 12, and get x=4. Hope this helped:)
747.69
700.23
29.24
Here you go :)
Students on the minibus = 8
students that are boys = 5
fraction of the student that are boys = ?
we can write fraction as the numerator and denominator so here the fraction of boys students is = 5/8
this fraction means and shows that there are 5 students are boys from 8 students.
Answer:
The y intercept is 6 and the slope is -3.
Please see the attached graph.
Answer:
x = 4 + sqrt(73) or x = 4 - sqrt(73)
Step-by-step explanation by completing the square:
Solve for x:
(x - 12) (x + 4) = 9
Expand out terms of the left hand side:
x^2 - 8 x - 48 = 9
Add 48 to both sides:
x^2 - 8 x = 57
Add 16 to both sides:
x^2 - 8 x + 16 = 73
Write the left hand side as a square:
(x - 4)^2 = 73
Take the square root of both sides:
x - 4 = sqrt(73) or x - 4 = -sqrt(73)
Add 4 to both sides:
x = 4 + sqrt(73) or x - 4 = -sqrt(73)
Add 4 to both sides:
Answer: x = 4 + sqrt(73) or x = 4 - sqrt(73)
