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Thepotemich [5.8K]
4 years ago
8

I need a little help! Can someone check my work? It's a written response with linear systems.

Mathematics
1 answer:
andreyandreev [35.5K]4 years ago
5 0

Answer:

I'd say you need to be more specific.

Step-by-step explanation:

"Different" doesn't tell you much.

Consider the equations ...

  • y = 2x + 1
  • 4x - 2y = -2

These equations are "different", but they are <em>dependent</em>.

_____

I'd mentally (or actually) put the equations in the same form and compare the coefficients of x and y. If they have different ratios, the system is independent and consistent.

If they have the same ratio, the system will not have a single solution. Whether there is no solution or an infinite number of solutions depends on the constant, which I would examine next.

The system above can be put in the form

  • 2x -y = -1
  • 4x -2y = -2

In both cases, the ratio of the x coefficient to the y coefficient is 2/-1 = 4/-2 = -2. This means the lines are at least parallel, if not identical. The numbers in the second equation are all 2 times the numbers in the first equation, so the equations are <em>dependent</em>, and there are an infinite number of solutions. (Both describe the same line.)

If the second equation were 4x -2y = 1, then the two equations would be describing parallel lines, so they would be called <em>inconsistent</em>.

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Rom4ik [11]

Answer: C) 6.0025

Step-by-step explanation:

The equation for the area of a circle requires the radius, you put in the full diameter. Just divide 4.9 by 2, which gives you 2.45. 2.45 squared is equal to 6.0025 and then slap your pi on to the end of it.

7 0
3 years ago
Read 2 more answers
Which input value produces the same output value for the two functions ​
Lady bird [3.3K]

Answer:

Completion to the first table for f(x)=\frac{2}{3} x+7 is {-1, 1, 3, 5}

Completion to the second table for g(x)=2x+16\\ is { -8, -2, 4, 10}

the option is x=-6

Step-by-step explanation:

\frac{2}{3} (-12)+7= -1

\frac{2}{3} (-9)+7=1

\frac{2}{3} (-6)+7=3

\frac{2}{3} (-3)+7=5

2(-12)+16=-8

2(-9)+16=-2

2(-6)+16=4

2(-3)+16=10

Hope this helps and is correct.

6 0
3 years ago
How can we determine if two events are independent?
ivanzaharov [21]

Two events are independent if the outcome of the second event is not affected by knowing the outcome of the first outcome.Example: If you have a bag of marbles of 3 red, 4 yellow, and 2 green, and you grab a yellow marble out of the bag then replace it what is the probability of grabbing another yellow one. Since you replaced it the probability of the second is not affected by the first one.

4 0
4 years ago
Jason has applied to be a camp counselor for the summer. The job pays $9 per hour. The equation to represent Jason’s job is y =
sergejj [24]

Jason’s camp counselor job pays a higher hourly rate than Mia’s lifeguard job, $9.00 compared to $8.75

What is the hourly rate of Jason from the lifeguard job?

The hourly rate of the lifeguard job can determined as the total amount earned divided by  the total of number of hours worked

hourly rate=($52.50+$70.00+$43.75)/(6+8+5)

hourly rate=$8.75

The lifeguard job when compared to the camp counselor for the summer  job pays lesser hourly rate of $8.75 as against $9.00 per hour from latter job, hence, Jason’s camp counselor job pays a higher hourly rate than Mia’s lifeguard job.

Find out about hourly rate comparison on:brainly.com/question/8575731

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6 0
1 year ago
What is 3x+4= -15? How would you get a negative number?
bulgar [2K]

Answer:

x=-\frac{19}{3}

Step-by-step explanation:

3x+4=-15

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3x=-19

\frac{3x}{3}=\frac{-19}{3}

x=-\frac{19}{3}

5 0
4 years ago
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