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
Answer:
(7x + 10y)
Step-by-step explanation:
To find this add (3x - 4y) to itself to calculate to lengths of the shorter sides.
(3x - 4y) + (3x - 4y) = 6x - 8y
Subtract this from (20x + 12y)
(20x + 12y) - (6x - 8y) = 14x + 20y Divide this by two to get the length of one side
14x + 20y / 2 = 7x + 10y
If this answer is correct, please make me Brainliest!
It would stop at 3y+4>11 because the 3y and 4 are unlike terms and can only be divided or multiplied.
Answer: There are 249 times Jamie takes a counter from the bag.
Explanation:
Since we have given that
Ratio of colour of red to blue to green is 1:3:7.
Number of blue counters = 68
Let the total number of times Jamie does from the bag be x.
So, According to question,
Hence, there are 249 times Jamie takes a counter from the bag.
Answer:
B
Step-by-step explanation:
the incenter is found by constructing angle bisectors and then intersecting the three angle bisectors.
