Factor completely x3 + 7x2 + 3x + 21.
(x − 7)(x2 − 3)
(x + 7)(x2 + 3)
(x − 7)(x2 + 3)
(x + 7)(x2 − 3)

  (x + 7)(x^2 + 3)

Step-by-step explanation:

The two constant terms in the binomials must have a positive product, so both will have the same sign. This eliminates the last two choices.

The coefficient of x^2 is +7, which eliminates the first choice.

The factorization is shown by the second choice:

  (x + 7)(x^2 + 3)

A caret (^) is used to signify an exponent.

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.  

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation: