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meriva
3 years ago
7

Colby has 16 jars of spices. He wants to arrange them in arrays what arrays could he use to arrange them?

Mathematics
1 answer:
allsm [11]3 years ago
5 0

Answer:

1 row with 16 jars, 2 rows with 8 jars and 4 rows with 4 jars are the arrays in order to arrange jars.

Step-by-step explanation:

Since, there are 16 jars of spices and he has to arrange them in arrays, then he can arrange 16 jars each in one row, 8 jars each in 2 rows and 4 jars each in 4 rows.

These are the only possibilities without breaking the jars into pieces.

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Answers:

4;  20;  3x² - 4x + 3; 52;  17

Step-by-step explanation:

f(-1):  replace x in f(x) = x² + 3 with -1:  f(-1)  =  (-1)² + 3 = 4

f(-4) + g(-1) = (-4)² + 3 + <em>2(-1) + 3</em>  =  16 + 3 <em>- 2 + 3</em> = 20   <em>(since g(x) = 2X + 3)</em>

<em />

3f(x) - 2g(x) = 3[x² +3] - 2[2x + 3} = 3x² + 9 - 4x - 6  =  3x² - 4x + 3

f(g(2)):  First, evaluate g(2).  It is g(2) = 2(2) + 3 = 7.  Next, use this output, 7, as the input to f(x):    f(g(x)) = (7)² + 3 = 49 + 3 = 52

g(f(2)):  First, evaluate f(x) at x = 2:  f(2) = (2)² + 3 = 7.  Next, use this 7 as the input to g(x):     g(f(2)) = g(7) = 2(7) + 3 = 17

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3 years ago
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Help with this exponential function!
butalik [34]

The population size after 6 years and after 8 years are 147 and 169 population respectively

<h3>Exponential functions</h3>

The standard exponential function is expressed as y = ab^x

where

a is the base

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Given the function that represents the population size P (t) of the species as shown;

p(t)=\frac{550}{1+5e^{-0.1t}} \\

For the population size after 6 years

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For the population after 8 years

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