6 4/9, hope this helps tell me if you need and explanation
Answer:
-5x²+26x-24
Step-by-step explanation:
(5x-6)(-x+4)
=5x(-x+4)-6(-x+4)
=-5x²+20x+6x-24
=-5x²+26x-24
I suppose you just have to simplify this expression.
(2ˣ⁺² - 2ˣ⁺³) / (2ˣ⁺¹ - 2ˣ⁺²)
Divide through every term by the lowest power of 2, which would be <em>x</em> + 1 :
… = (2ˣ⁺²/2ˣ⁺¹ - 2ˣ⁺³/2ˣ⁺¹) / (2ˣ⁺¹/2ˣ⁺¹ - 2ˣ⁺²/2ˣ⁺¹)
Recall that <em>n</em>ª / <em>n</em>ᵇ = <em>n</em>ª⁻ᵇ, so that we have
… = (2⁽ˣ⁺²⁾ ⁻ ⁽ˣ⁺¹⁾ - 2⁽ˣ⁺³⁾ ⁻ ⁽ˣ⁺¹⁾) / (2⁽ˣ⁺¹⁾ ⁻ ⁽ˣ⁺¹⁾ - 2⁽ˣ⁺²⁾ ⁻ ⁽ˣ⁺¹⁾)
… = (2¹ - 2²) / (2⁰ - 2¹)
… = (2 - 4) / (1 - 2)
… = (-2) / (-1)
… = 2
Another way to get the same result: rewrite every term as a multiple of <em>y</em> = 2ˣ :
… = (2²×2ˣ - 2³×2ˣ) / (2×2ˣ - 2²×2ˣ)
… = (4×2ˣ - 8×2ˣ) / (2×2ˣ - 4×2ˣ)
… = (4<em>y</em> - 8<em>y</em>) / (2<em>y</em> - 4<em>y</em>)
… = (-4<em>y</em>) / (-2<em>y</em>)
… = 2
I belive there is none because it lands on the origin for y.
To find the slope you use the equation:
m = (y₂-y₁) ÷ (x₂-x₁)
You plug in the two points into this equation to find m (m is the slope)
m = (1 - 0) ÷ (0 - 2)
m = 1 ÷ (-2)
m = - 1/2
Next you use this equation:
y = mx + b
Because you know m you plug it in.
y = -1/2x + b
Now you need to find b. To do so you plug in either of the points into this equation(you come out with the same answer for b)
y = -1/2x + b
1 = -1/2(0) + b
1 = b
Finally you plug in b and you get your new equation.
y = -1/2x + 1
