Suppose you are determining the growth rate of two species of plants. species a is 12 cm tall and grows 2 cm per month. species b is 10 cm tall and grows 3 cm per month. which system of equations models the height of each species a(m) and b(m) as a function of months m. a(m) = 12 + 2m b(m) = 10 + 3m a(m) = 2 + 12m b(m) = 10 + 3m a(m) = 12 + 2m b(m) = 3 + 10m a(m) = 2 + 12m b(m) = 3 + 10m

First option:

A(m) = 12 + 2m

B(m) = 10 + 3m

Solution:

When you model a function y that depends on a veriable x, and you know the inicial value b, and the growth rate r, you can use this formula:

y=b+r x

We have two functions to model:

1) Species A is 12 cm tall and grows 2 cm per month:

y=A(m); b=12 cm; r=2 cm/month; x=m. Then:

Replacing in the equation:

y=b+r x

A(m)=12+2 m

2) Species B is 10 cm tall and grows 3 cm per month:

y=B(m); b=10 cm; r=3 cm/month; x=m. Then:

Replacing in the equation:

y=b+r x

B(m)=10+3 m

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!