given the functions k(x) = 2x2 − 7 and p(x) = x − 4, find (k ∘ p)(x).

(k ∘ p)(x) = 2x2 − 8x + 16
(k ∘ p)(x) = 2x2 − 16x + 32
(k ∘ p)(x) = 2x2 − 16x + 25
(k ∘ p)(x) = 2x2 − 11

(k ∘ p)(x) = 2x²-16x+25

Step-by-step explanation:

(k ∘ p)(x) = 2(x-4)²-7(k ∘ p)(x) = 2(x²-8x+16)-7(k ∘ p)(x) = 2x²-16x+32-7(k ∘ p)(x) = 2x²-16x+25

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )