Answer:
{x,y} = {3/7,-43/7}
Step-by-step explanation:
System of Linear Equations entered :
[1] x + 3y = -18
[2] -x + 4y = -25
Graphic Representation of the Equations :
3y + x = -18 4y - x = -25
Solve by Substitution :
// Solve equation [1] for the variable x
[1] x = -3y - 18
// Plug this in for variable x in equation [2]
[2] -(-3y-18) + 4y = -25
[2] 7y = -43
// Solve equation [2] for the variable y
[2] 7y = - 43
[2] y = - 43/7
// By now we know this much :
x = -3y-18
y = -43/7
// Use the y value to solve for x
x = -3(-43/7)-18 = 3/7
Solution :
{x,y} = {3/7,-43/7}
Answer:
- x = 0 or 1
- x = ±i/4
- x = -5 (twice)
Step-by-step explanation:
Factoring is aided by having the equations in standard form. The first step in each case is to put the equations in that form. The zero product property tells you that a product is zero when a factor is zero. The solutions are the values of x that make the factors zero.
1. x^2 -x = 0
x(x -1) = 0 . . . . . x = 0 or 1
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2. 16x^2 +1 = 0
This is the "difference of squares" ...
(4x)^2 - (i)^2 = 0
(4x -i)(4x +i) = 0 . . . . . x = -i/4 or i/4 (zeros are complex)
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3. x^2 +10x +25 = 0
(x +5)(x +5) = 0 . . . . . x = -5 with multiplicity 2
Answer:
17-2x=-11 ---> 14
Step-by-step explanation:
plug in the "answers"
17-2(14)=-11
Answer:
24.9 repeating in
Step-by-step explanation:
![\sqrt[3]{15,625}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B15%2C625%7D)
= 24.9 repeating.
Basically, just find the cube root of 15,625. Since, the object is a cube, the volume formula is V=
. Just undo the by finding the cube root. Hope this helps!!
Answer:
20 gallons of water is leaked after an hour.
Step-by-step explanation:
Water is leaking at a constant rate of 1/3 gallon per minute.
a) We have to write a linear equation in two variables that show the amount of water, w, in gallons, that is leaked from the faucet after t minutes.
So, the equation is ......... (1) (Answer)
b) Now, if t = 1 hour i.e. 60 minutes, then from equation (1) we can write
gallons.
Therefore, 20 gallons of water is leaked after an hour. (Answer)
