Answer:
(k ∘ p)(x) = 2x^2 − 12x + 13
Step-by-step explanation:
k(x) = 2x^2 − 5 and p(x) = x − 3,
(k ∘ p)(x).= k(p(x))
This means put the function p(x) in for x in the function k(x)
(k ∘ p)(x) = 2(p(x)^2) -5
= 2(x-3)^2 -5
= 2 (x-3)(x-3) -5
FOIL
=2(x^2 -3x -3x+9) -5
=2 (x^2 -6x+9) -5
= 2x^2 -12x +18 -5
Combine like terms
= 2x^2 -12x +13
Answer:
x = 35.4
Step-by-step explanation:
Sum of all interior angles in a triangle = 180°
Therefore:
(x + 2)° + (2x + 2)° + (2x - 1)° = 180°
x + 2 + 2x + 2 + 2x - 1 = 180
Collect like terms
x + 2x + 2x + 2 + 2 - 1 = 180
5x + 3 = 180
Subtract 3 from each side
5x + 3 - 3 = 180 - 3
5x = 177
Divide both sides by 5
5x/5 = 177/5
x = 35.4
Answer:
![t=\frac{x}{v} = \frac{234 miles}{70 miles/h} = 3.34 h](https://tex.z-dn.net/?f=t%3D%5Cfrac%7Bx%7D%7Bv%7D%20%3D%20%5Cfrac%7B234%20miles%7D%7B70%20miles%2Fh%7D%20%3D%203.34%20h)
t= 03:21 h
Step-by-step explanation:
A constant speed means that it does not change over a period of time and direction of motion. A simple formula, for this case (constant speed)
where x is distance and t time. The subtract is final value minus initial value
If xo=0 miles and to=0 h, then
![v=\frac{x}{t}](https://tex.z-dn.net/?f=v%3D%5Cfrac%7Bx%7D%7Bt%7D)
We have distance, and speed so we need to calculate the time (how long)
![t=\frac{x}{v} = \frac{234 miles}{70 miles/h} = 3.34 h](https://tex.z-dn.net/?f=t%3D%5Cfrac%7Bx%7D%7Bv%7D%20%3D%20%5Cfrac%7B234%20miles%7D%7B70%20miles%2Fh%7D%20%3D%203.34%20h)
t= 03:21 h
reference :https://www.timecalculator.net/time-to-decimal
Answer:
form an idea of the amount, number, or value of; assess
Step-by-step explanation:
150 pennies because 5+5+5+5+5+5+5+5+5+5=50 and 100+50=150