X = pencils, y = pens
8x + 6y = 8.50
4x + 4y = 5.....multiply by -2
----------------
8x + 6y = 8.50
-8x - 8y = -10 (result of multiplying by -2)
-----------------add
-2y = - 1.50
y = -1.50 / -2
y = 0.75 <=== pens cost 0.75
4x + 4y = 5
4x + 4(0.75) = 5
4x + 3 = 5
4x = 5 - 3
4x = 2
x = 2/4
x = 0.50 <== pencils cost 0.50
Answer:
To reflect a graph, f(x) over the x-axis, you take -f(x).
So if f(x)=x^2, then -f(x) is -x^2.
Then g(x)=-x^2 is the reflection of your function f(x) over the x-axis.
Step-by-step explanation:
I'm pretty sure it's x/4=y
The opposite operation to taking a derivative is an integral. Integrate to find original function.
f(x) = x^2 + x + C
C is constant because we didn't have bounds on the integral. it lets you choose the input value let's say is just (1,0)
0 = 1 + 1 + C
- 2 = C
function at input value (1,0)
f(x) = x^2 + x - 2
now if you check by taking derivative is :
f' = 2x + 1
