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Mekhanik [1.2K]
3 years ago
14

Transform both equations in each system of equations so that each coefficient is an integer.

Mathematics
1 answer:
inysia [295]3 years ago
4 0
For the first one multiply each term by the LCM of 4 and 6, which is 12:-

15x -36 = 2y..................(1)

and second multiply by 5:-

2x + y = 9..............(2)

solving:-
from equation (2) y = 9-2x,  substitute  in equation (1):-

15x - 36 = 2(9-2x) = 18 - 4x
19x = 54
x = 54/19 = 2.84

so y =  9 - 2(2.84) = 3.32


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Write an equation of the line that is parallel to y=-4x+8 and passes through the point (5,1)
Akimi4 [234]

Answer:

The equation is y = -4x + 21

Step-by-step explanation:

First we have to find the slope of the line. In this case it is already solved for y, so we just look for the coefficient of x (-4)

With the slope of -4, we now can plug the slope and point into point-slope form and get the final equation.

y - y1 = m(x - x1)

y - 1 = -4(x - 5)

y - 1 = -4x + 20

y = -4x + 21

6 0
3 years ago
WHAT NUMBER OCCURS FREQUENTLY<br><br><br><br><br>ILL GIVE BRAINLIEST<br>​
xxMikexx [17]

Answer:

I think it's 2 because it has a larger number of dots than other numbers.

Step-by-step explanation:

Hope this helps!!!

5 0
3 years ago
Read 2 more answers
The height of seaweed of all plants in a body of water are normally distributed with a mean of 10 cm and a standard deviation of
Degger [83]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is:

X: height of seaweed.

X~N(μ;σ²)

μ= 10 cm

σ= 2 cm

You have to find the value of the variable X that separates the bottom 0.30 of the distribution from the top 0.70

P(X≤x)= 0.30

P(X≥x)= 0.70

Using the standard normal distribution you have to find the value of Z that separates the bottom 0.30 from the top 0.70 and then using the formula Z= (X-μ)/σ translate the Z value to the corresponding X value.

P(Z≤z)= 0.30

In the body of the table look for the probability of 0.30 and reach the margins to form the Z value. The mean of the distribution is "0" so below 50% of the distribution you'll find negative values.

z= -0.52

Now you have to clear the value of X:

Z= (X-μ)/σ

Z*σ= X-μ

X= (Z*σ)+μ

X= (-0.52*2)+10= 8.96

The value of seaweed height that divides the bottom 30%  from the top 70% is 8.96 cm

I hope this helps!

7 0
3 years ago
What is 4.22 x 10^17 seconds
Allushta [10]

We can rewrite the given time as:

  • 7.03x10^15 mins
  • 1.17x10^14 hours.
  • 4.88x10^12 days.
<h3>What is 4.22x10^17 seconds in minutes and hours?</h3>

First, remember that:

60s = 1 min

Then to write that amount in minutes, we just need to divide by 60, so we get:

(4.22x10^17)/60  mins=  7.03x10^15 mins

Now, remember that:

1 hour = 3600s

Then to get the time in hours, we need to divide by 3600:

(4.22x10^17)/3600 h = 1.17x10^14 hours.

Similarly, you can change to any time unit that you want, for example:

1 day = 24*3600 s

Then the time in days is:

(4.22x10^17)/(24*3600) days = 4.88x10^12 days.

And so on.

If you want to learn more about changes of units:

brainly.com/question/9032119

#SPJ1

8 0
1 year ago
HELP! How do you do this!! Need help ASAP!!
raketka [301]

Multiplying binomial and polynomials can be easy as long as you follow the steps for example:

Let's say you were multiplying 3x-3 and x+2

(3x-3)(x+2)

remember FOIL

OR think about it like this(see attatchment)

3x^2 + 3x -6 is what you should get

8 0
3 years ago
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