To solve this system using the subst. method, equate y = 7x + 8 to y = x + 20.
Then 6x = 12, and x = 2. To find y, subst. 2 for x in either of the given equations.
Write your solution as (2, y).
What you need to do is first multiplying by using the Foil method. <u>The foil method is multiplying the terms which occur last in each binomial</u>
Than you combine the real imaginary parts of the expression. so the Answer is
49 - 43i Hope this helps :)
#1.) A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers. The number 8 is a rational number because it can be written as the fraction 8/1.
I don't want to give you the answer cause that will not help you I'm the future If I just give it to you. It might help you but that's what I learned in school is that it doesn't help. Because like if you cheat on a test you won't get to learn. But if you did it yourself and got it wrong you can see why
This is a simultaneous question.
To solve this, we have to make up 2 equations based on the info provided like so:
electricity = e
gas = g
600e + 100g = $412 ——(1)
400e + 150g = $293 ——(2)
In this case, it’ll be easier to use the elimination method where you eliminate a variable so you can calculate only one.
Here, we will be eliminating e so we can get the cost of gas.
To do this we need to get both equation’s e to 600, so we have to multiply equation 2 by 1.5:
(2) x 1.5:
400e + 150g = $293
600e + 225g = $439.50 ——(3)
Now we eliminate e by subtracting equation 1 from equation 3:
(3) - (1):
600e + 225g - 600e - 100g = $439.50 -$412
125g = $27.50
g = $0.22.
Therefore one unit of gas costs $0.22.
Hope it helps and have a good day ahead :D
1) The first graph is the graph of f(x) traslated 5 units to the left, then the equation of this graph is: y=(x+5)^2
2) The second graph is the graph of f(x) traslated 5 units upward, then the equation of this graph is: y=x^2+5
3) The third graph is the graph of f(x) traslated 5 units downward, then the equation of this graph is: y=x^2-5
4) The fourth graph is the graph of f(x) traslated 5 units to the right, then the equation of this graph is: y=(x-5)^2
