Answer:

Step-by-step explanation:
can be broken down into three fractions, coefficients, powers of p, powers of q.

Simplify the first fraction, then simplify the others by subtracting numerator exponents minus denominator exponents.

Answer:
slope is 0
Step-by-step explanation:
Answer:
£18
Step-by-step explanation:
Let
x = original price of the game
Increase in price = 1/2
New price = £27
x + 1/2x = £27
2x+x/2 = 27
3/2x = 27
x = 27 ÷ 3/2
= 27 × 2/3
= 54 / 3
x = £18
Therefore, the original price of the game is £18
Answer:
see the explanation
Step-by-step explanation:
we have
closed circle on 2 to closed circle on 6
That means -----> All real numbers greater than or equal to 2 and less than or equal to 6
In interval notation is ------> [2,6]
In set builder notation is ----> { x ∈ R | x ≥ 2 and x ≤ 6 }
Answer:
x = 12
Step-by-step explanation:
A pair of supplementary angles added together MUST equal 180. Therefore, as you are given two angles with the measures of (4x - 24) and 4(2x - 3), they must add together to equal 180. So, we get this equation:
(4x - 24) + 4(2x - 3) = 180
4x - 24 + 8x - 12 = 180 (we distributed 4(2x-3))
12x - 36 = 180
12x = 144
x = 12, -12
Therefore, x is 12 because -12 would mean that (4x-24) and 4(2x-3) are both negative, which is impossible for an angle measure.