Answer:
(x, y) = (7, - 1)
Step-by-step explanation:
given the 2 equations
x + 7y = 0 → (1)
2x - 8y = 22 → (2)
Rearrange (1) expressing x in terms of y by subtracting 7y from both sides
x = - 7y → (3)
Substitute x = - 7y in (2)
2(- 7y) - 8y = 22
- 14y - 8y = 22
- 22y = 22 ( divide both sides by - 22 )
y = - 1
Substitute y = - 1 into (3) for corresponding value of x
x = - 7 × - 1 = 7
Solution is (7, - 1 )
To find the inverse you have steps
1. replace f(x) with y
2. swich x and y places
3. solve for y
4. replace y with f⁻¹(x) (read 'f inverse')
so we have
f(x)=2x+1
replace f(x) with y
y=2x+1
switch x and y
x=2y+1
solve for y
x=2y+1
subtract 1
x-1=2y
divide both sides by 2
=y
y=
repplace y with f⁻¹(x)
f⁻¹(x)=
<span>What is the axis of symmetry for f(x)=5(x+7)(x-5)? Multiply out this polynomial to obtain the equation of a parabola in the form y = ax^2 + bx + c.
f(x) = 5(x^2 - 5x + 7x -35)
Holding the coefficient 5, we have 1x^2 - 2x - 35. Here a = 1 and b = -2, and
thus x = -b / (2a) provides the x-coord. of the axis of symm. It is:
x = -(-2) / (2*1) = 1.
The axis of symmetry is the vertical line x = 1.</span>
It depends. You'd need to give some example, but generally the idea is to put all variables on one side and everything else on the other side.
Step-by-step explanation:
im not going to answer this right now but you should give Socrates a try it shows you how to do it and why it works ect soz