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3 years ago

Which ordered pair is a solution to the system of linear equations? 2x + 3y= 6 –3x + 5y = 10

Mathematics

1 answer:

n200080 [17]3 years ago

7 0

Answer:

(0,2)

Step-by-step explanation:

solve by addition/elimination

2x + 3y= 6

–3x + 5y = 10

multiply first equation by 3 and second one by 2 to eliminate x)

6x+9y=18

-6x+10y=20 (add the two equations)

6x+9y-6x+10y=38

19y=38

y=38/19=2

2x+3y=6

2x=6-6

x=0

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3 years ago

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3 years ago

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Use the multiplier 1.055

final = original x multiplier^n

where 'n' is the number of years

Sub the values in

final = 700 x 1.055^7

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3 years ago

At the circus, a clown is shot from a cannon. This situation can be modeled by the function: h = – 16t2 + 45t + 15, where 'h' is

EastWind [94]

Answer:

t = 3.11 seconds

Step-by-step explanation:

Given that,

At the circus, a clown is shot from a cannon. This situation can be modeled by the function :

$h = -16t^2 + 45t + 15$

Where

'h' is height in feet and 't' is time in seconds

We need to find how long did it take for the clown to reach his highest point. It can be calculated as follows :

$-16t^2 + 45t + 15=0$

We need to solve for t. It can be calculated as follows :

$t=\dfrac{-45\pm \sqrt{45^2-4(-16)(15)} }{2(-16)}\\\\t=-0.301\ \text{and}\ 3.11\ s$

So, the required time is 3.11 seconds.

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3 years ago