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2 years ago

Solve the system by substitution.

Mathematics

2 answers:

mezya [45]2 years ago

8 0

Answer:

(2, 6)

Step-by-step explanation:

if you meant for both of the y to be the same then this should be right

Roman55 [17]2 years ago

8 0

Answer:

(2,6)

Step-by-step explanation:

*this is actually elimination*

1st- Turn both of them into standard form.

y=9x-12 ---> 9x-y=12

y=3x --> 3x-y=0

Multiply 9x-y=12 by -1

-9x+y=-12

3x-y=0

-6x=-12

divide by 6

x=2

Plug 2 into the first equation

9(2)-y=12

18-y=12

Cancel out 18 by subtracting -18 to both sides

-y=-6

divide by -1

y= 6

Answer: (2,6)

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The rate of U.S. per capita sales of bottled water for the period 2007–2014 could be approximated by s(t) = 0.25t2 ? t + 29 gall

julsineya [31]

Answer:

117 gallons

Step-by-step explanation:

The expression that describes the rate of U.S. per capita sales of bottled water for the period 2007–2014 is:

$s(t) = 0.25t^2-t+29$

Since t=0 at 2007. At 2009 and 2013, t is:

$t_1=2009-2007 = 2\\t_2=2013-2007 = 6$

The definite integral of the expression from t=2 to t=6 is:

$s(t) = 0.25t^2-t+29\\\int\limits^6_2 {s(t)} \, dt= \int\limits^6_2 {(0.25t^2-t+29)} \, dt\\\int\limits^6_2 {s(t)} \,dt= (\frac{t^3}{12} -\frac{t^2}{2}+29t +c)|^6_2 \\S(6) -S(2) = (\frac{6^3}{12} -\frac{6^2}{2}+29*6 +c) - (\frac{2^3}{12} -\frac{2^2}{2}+29*2 +c)\\S(6) -S(2) = 117.333\ gallons$