Answer:
<em>(</em><em>2</em><em>x</em><em> </em><em>+</em><em> </em><em>1</em><em>)</em><em> </em><em> </em><em>(</em><em>3</em><em>x</em><em> </em><em>-</em><em> </em><em>4</em><em>)</em>
Step-by-step explanation:
Solution:
- 6x² - 5x - 4
- 6x²- (8 - 3)x - 4
- 6x²- 8x + 3x - 4
- 2x (3x - 4) +1 (3x - 4)
- (2x + 1) (3x - 4)
I think it’s 11. Sorry if it’s wrong
Answer:
61.2
Step-by-step explanation:
i took the quiz it was a quiz for me but i dont know for you
Let x equal the # of child tickets
Let y equal the # of adult tickets
x + y = 84
3x + 5y = 360
Solve and state the answer. Use the substitution method to solve this system. Solve the first equation for x.
x + y = 84
x = 84 - y
Now substitute the resulting expression into the other equation and solve for y.
3( 84 - y ) + 5y = 360
252 - 3y + 5y = 360
Combine like terms
252 + 2y = 360
Subtract 252 from both sides
2y = 108
Divide by 2 on both sides
y = 54
Substitute the value of y into the equation that we solved for x, x = 84 - y
x = 84 - 54
x = 30
Therefore the answer should be, 30 childrens tickets sold and 54 adult tickets sold.
- x - y - z = - 8 ------- (1)
- 4x + 4y + 5z = 7 -------- (2)
2x + 2z = 4 --------- (3)
From (3): x + z = 2
x = 2 - z --------- (4)
Substitute (4) into (1),
- x - y - z = - 8
- (2-z) - y - z = - 8
- 2 + z - y - z = -8
- 2 - y = - 8
2 + y = 8
Therefore, y = 6
Substitute y = 6 and (4) into (2),
- 4x + 4y + 5z = 7
- 4(2 - z) + 4(6) + 5z = 7
- 8 + 4z + 24 + 5z = 7
9z + 16 = 7
9z = - 9
Therefore, z = - 9
Substitute z = - 9 into (4),
x = 2 - z
x = 2 - (-9)
x = 2 + 9
Therefore x = 11
Solution:
x = 11
y = 6
z = -9
