Converting this into an equation, we get:
6x+4y=14
-8x-4y=-12
We can solve this by adding the system of equations.
6x+4y=14
+ -8x-4y=-12
-------------------------
-2x=2
Simplifying, we get that x=-1. We can replug this into one of the equations to get y. We'll choose 6x+4y=14
Plugging in -1 for x, we get that:
6(-1)+4y=14
which is
-6+4y=14
which is
4y=20
Simplify this to get that y=5
To check, you can plug in x and y into both equations to make sure that they are true.
6(-1)+4(5)=14
-6+20=14
14=14 which is true
-8(-1)-4(5)=-12
8-20=-12
-12=-12 which is true
x=-1 and y=5
:)
Total volume is volumes of both square pyramids.
Volume of a tetrahedron is 1/3 times corresponding prism, and a square pyramid has two tetrahedrons.
Thus, volume of on square pyramid:
Since there are two of them, total volume is:
$\boxed{\frac{2a^2b}{3}}$
Hey mate. Here is your Answer:
f(x) = 50 + 25(x - 1)
Step-by-step explanation:
Let's write an equation to represent the function that will allow Damon to calculate the cost of his video game membership service:
Lifetime membership fee = $ 50
First video game is free
Then any video game purchased after = $ 25.
Let x to represent the total cost of the video game membership service, in consequence we can write the equation this way:
f(x) = 50 + 25(x - 1)
If x = 1, then f(1) = 50 + 0 = 50
If x = 2, then f(2) = 50 + 25 = 75
If x = 5, then f(5) = 50 + 100 = 150
We know that,
which means
Now insert the data to get,
Hope this helps :)
I think 2y=4x+2 is an example
You’ll have to double check and make sure it’s correct.