Simplify. −5x4(−3x2+4x−2)

Mathematics

2 answers:

erastova [34]3 years ago

6 0

Answer:

$15x^{6}-20x^{5}+10x^4)$

Step-by-step explanation:

We have been given an expression $-5x^4(-3x^2+4x-2)$ and we are asked to simplify our given expression.

We will use distributive property $a(b+c)=a*b+a*c$ to simplify our given expression.

Upon distributing $-5x^4$ we will get,

$(-5x^4*-3x^2)+(-5x^4*4x)-(-5x^4*2)$

Using exponent property $a^b*a^c=a^{b+c}$ we will get,

$(15x^{4+2})+(-20x^{4+1})-(-10x^4)$

$(15x^{6})+(-20x^{5})-(-10x^4)$

$15x^{6}-20x^{5}+10x^4)$

Therefore, our given expression simplifies to $15x^{6}-20x^{5}+10x^4)$ .

Serggg [28]3 years ago

3 0

The answers my dear friends is 15x^6-20x^5+10x^4

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Uninhibited growth can be modeled by exponential functions other than A(t) =Upper A 0 e Superscript kt. For example, if an i

laila [671]

The question is incomplete. Here is the complete question.

Uninhibited growth can be modeled by exponential functions other than $A(t)=A_{0}e^{kt}$ . for example, if an initial population P₀ requires n units of time to triple, then the function $P(t)=P_{0}(3)^{\frac{t}{n} }$ models the size of the population at time t. An insect population grows exponentially. Complete the parts a through d below.

a) If the population triples in 30 days, and 50 insects are present initially, write an exponential function of the form $P(t)=P_{0}(3)^{\frac{t}{n} }$ that models the population.

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Answer: a) $P(t)=50(3)^{\frac{t}{30} }$