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3 years ago

Solve by the elimination method

Mathematics

1 answer:

Usimov [2.4K]3 years ago

5 0

There is one solution. The solution of the system is (9,-5)

Option A is correct.

Step-by-step explanation:

We need to solve the system of equations by elimination method

$6x= 64+2y\\2x= -7-5y$

Rearranging the equations:

$6x-2y=64\,\,\,eq(1)\\2x+5y=-7\,\,\,eq(2)$

Eliminating y to find value of x:

Multiply eq(1) by 5 and eq(2) by 2 and add both equations:

$30x-10y=320\,\,\,\\4x+10y=-14\\--------\\34x=306\\x=\frac{306}{34}\\ x=9$

So, value of x= 9

Eliminating x to find value of y:

Multiply eq(1) by 2 and eq(2) by 6 and subtract both equations:

$12x-4y=128\\12x+30y=-42\\-\,\,\,\,-\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,+\\---------\\-34y=170\\y=\frac{170}{-34}\\ y=-5$

So, value of y = -5

There is one solution. The solution of the system is (9,-5)

Option A is correct.

Keywords: Solving system of equations

Learn more about Solving system of equations at:

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Graph the line y=-1/5x-2

olga nikolaevna [1]

Answer:

Can't really show a graph but I'll explain how to:

Step-by-step explanation:

Plot the point (0,-2) since -2 is the y=intercept. After, just count-down 1 unit and count 5 units to the right. I hoped this helped!

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3 years ago

Gas mileage actually varies slightly with the driving speed of a car (as well as with highway vs. city driving). Suppose your

natima [27]

Answer:

Step-by-step explanation:

Suppose the car mileage actually varies slightly with the driving speed of the car

Suppose your car averages 26 miles per gallon on the highway if your average speed is 45 miles per hour,

and it averages 18 miles per gallon on the highway if your average speed is 65 miles per hour.

The driving time for a 2500-mile trip if you drive at an average speed of 54 miles per hour

$= \frac{Distance}{Speed} = \frac{2500 }{45} \\\\= 55.56 hours.$

The driving time for a 2500-mile trip if you drive at an average speed of 65 miles per hour

$= \frac{Distance}{Speed} = \frac{2500 }{65} \\\\= 38.46 hours.$

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3 years ago

Can you guys help please im so confused

marissa [1.9K]

Answer:

a) see below

b) 40x20 meters

Step-by-step explanation:

Write down what you know:

- The area of the enclosure is length*width, so

$A = x \cdot y$

- The length of the fencing is 80 meters, so

$2y + x = 80$

Now we have to combine these two equations above, and get rid of y in the process.

First rewrite the second as:

$y = 40 - \frac12 x$

Then substitute for y in the first:

$A = x (40 - \frac12 x) = 40x - \frac12x^2$

b) To maximize A, find the zero of the first derivative:

$A'(x) = 40 - x = 0 \implies x=40$

So y = (80-40)/2 = 20 meters.

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2 years ago

If Max makes 45 out of 60 shots with the basketball, how many would you expect him to make if he only shot the basketball 15 tim

exis [7]

Answer:

Step-by-step explanation:

Probability of Max making a shot is 45/60=¾

Here, probability, p=¾ or 0.75

The trials n=15

E=np where E is expectation

Now, when the shots out of 15 trials will be given by np=15*¾=11.25 shots

Rounded off to the nearest interger, this is approximately 11 shots.

Therefore, the possible number of shots in 15 trials for Max is equivalent to 11

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3 years ago

What is the missing part if 2.48>2.4 blank 1>2.463?

bulgar [2K]

2.48 > 2.471 > 2.463 5.723 < 5.724 < 5.725 7.64 < 7.65 < 7.68

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3 years ago