1 )
1st and 2nd equation (multiply 1st by -2 ):
-2x - 10 y + 8 z = 20
2 x - y + 5 z = -9
---------------------------
- 11 y + 13 z = 11 / * ( -20 )
1st and 3rd:
- 2 x - 10 y + 8 z = 20
2 x - 10 y - 5 z = 0
-----------------------------
- 20 x + 3 z = 20 / * 11
----------------------------------
220 y - 260 z = -220
- 220 y + 33 z = 220
------------------------------
z = 0, y = -1, x = - 5
2 )
2 x - y + 5 = -4
- 2 x + 3 y - 5 = - 10
Substitution: y = 2 x + 9
- 2 x + 3(2 x + 9 ) = -5
4 x = - 32, x = -8, y = -7, z = 5
3 )
x + y + z = 11
1.5 x+3 y +1.5 z = 21
x = 2 y
------------------------
3 y + z = 11 / * (-2)
6 y + 1.5 z = 21
------------------------
- 6 y - 2 z = -22
6 y + 1.5 z = 21
------------------------
-0.5 z = -1, z = 2, y = 3, z = 6
Answer: the store used 6 pounds of peanuts, 3 pounds of almonds and 2 pounds of raisins.
Answer:
36 cm
Step-by-step explanation:
1cm = 10 km
360km/10km=36
1x36=36
Answer:
A. 5
B. 12
Step-by-step explanation:
What you do is you substitute -2 into the a and the 3 into the b.
a. 3(-2)^2-5(3)+8 b. 2/3(3)-5(-2)
3(4)-15+8 2-(-10)
12-15+8 12 is your answer.
-3+8
5 is your answer.
Answer:
y -6 = 1/3(x +3) or y = 1/3x +7
Step-by-step explanation:
The slope of the line describing the given path is the x-coefficient, -3. The slope of the perpendicular line will be the negative reciprocal of that:
m = -1/(-3) = 1/3
The point-slope form of the equation for a line can be used to write the equation for the new path:
y -k = m(x -h) . . . . . line with slope m through point (h, k)
For m=1/3 and (h, k) = (-3, 6), the new path can be represented by ...
y -6 = 1/3(x +3) . . . . point-slope form
y = (1/3)x +7 . . . . . . slope-intercept form
Answer:
Question
Match each expression with the equivalent expanded expression.
0.5 (2x + 3)
- 10x - 3
1/3 ( 9 +81)
8x - 4
-5 (2x + 3/5)
-2x + 3
2 (4x-2)
x + 1.5
-3 (2/3x - 1)
30
Answer:
Step-by-step explanation:
Step-by-step explanation:
Question
Match each expression with the equivalent expanded expression.
0.5 (2x + 3)
- 10x - 3
1/3 ( 9 +81)
8x - 4
-5 (2x + 3/5)
-2x + 3
2 (4x-2)
x + 1.5
-3 (2/3x - 1)
30
Answer:
Step-by-step explanation:
