solve for "y" so it is in the form y = mx + b. "m" is the slope and "b" is the y-intercept.
ax + by = c
by = -ax + c <em>subtracted "ax" from both sides</em>
y = (-a/b)x + c/b <em>divided both sides by "b"</em>
Answer: slope is -a/b and y-intercept is c/b
3x - y + z = 5 . . . (1)
x + 3y + 3z = -6 . . . (2)
x + 4y - 2z = 12 . . . (3)
From (2), x = -6 - 3y - 3z . . . (4)
Substituting for x in (1) and (3) gives
3(-6 - 3y - 3z) - y + z = 5 => -18 - 9y - 9z - y + z = 5 => -10y - 8z = 23 . . (5)
-6 - 3y - 3z + 4y - 2z = 12 => y - 5z = 18 . . . (6)
(6) x 10 => 10y - 50z = 180 . . . (7)
(5) + (7) => -58z = 203
z = 203/-58 = -3.5
From (6), y - 5(-3.5) = 18 => y = 18 - 17.5 = 0.5
From (4), x = -6 - 3(0.5) - 3(-3.5) = -6 - 1.5 + 10.5 = 3
x = 3, y = 0.5, z = -3.5
I’m pretty sure it has potential energy. Because a charge battery can be charged. So it can have energy
Answer:
since we are not given the options, I will write down a few equations that represent the number of French bread loaves and bagels:
- a = number of loaves of French bread
- b = number of bagels
- available amount of flour = 38
2a + b ≤ 38
2a ≤ 38 - b
a ≤ (38 - b) / 2
a ≤ 19 - 0.5b
b ≤ 38 - 2a
b ≤ 2(19 - a)
Hopefully one of these equations is one of the choices given to you.
It takes you 45 minutes to clean the fish tank and it takes your sister 30 minutes. how long does it take the two of you working together to clean the fish tank
Answer:
My 1 minute work =
My sisters 1 minute work =
My and My sister's 1 minute work =
=
=
Me and My sister will finish the work in 
minutes
