Answer:
-16p³ + 48p² - 16p
Explanation:
In order to simplify the given expression, we need to multiplied 8p with (-2p²+6p-2)
8p*(-2p²+6p-2)
we need to distribute 8p over the brackets or parenthesis.
=8p*(-2p²) + 8p*(6p) + 8p*(-2)
= 8*(-2)*p*p² + 8*6p*p + 8*(-2)* p
= -16p³ + 48p² - 16p
We can't simplify it more, so that's the final answer.
I hope it's help.
Answer:
1). 2x^2-3x+20
2). 4x^2-14x+6
Step-by-step explanation:
1. (x-4)(2x+5)
FOIL:
(x)(2x)+5(x)-8(x)+(4)(5)
2x^2+5x-8x+20
=2x^2-3x+20
2. (4x-2)(x-3)
FOIL:
(4x)(x)-(3)(4x)-2(x)-2(-3)
4x^2-12x-2x+6
=4x^2-14x+6
<span>an</span><span> = </span>a<span>n–1</span><span> + 21 the answer is c
</span>
31 I think I’m not sure may be wrong
The function that represents the growth of this culture of bacteria as a function of time is; P = 1500e^(1.0986t)
<h3>How to calculate Exponential Growth?</h3>
The formula for exponential growth is;
P = P₀e^(rt)
where;
P = current population at time t
P₀ = starting population
r = rate of exponential growth/decay
t = time after start
Thus, from our question we have;
4500 = 1500 * e^(r * 1)
4500/1500 = e^r
e^r = 3
In 3 = r
r = 1.0986
Thus, the function that represents the growth of this culture of bacteria as a function of time is;
P = 1500e^(1.0986t)
For the culture to double, then;
P/P₀ = 2. Thus;
e^(1.0986t) = 2
In 2 = 1.0986t
t = 0.6931/1.0986
t = 0.631 hours
Read more about Exponential Growth at; brainly.com/question/27161222
#SPJ1