X + 9y = 5 .....multiply by -1
4x + 9y = -7
-----------------
-x - 9y = -5 (result of multiplying by -1)
4x + 9y = -7
----------------add
3x = -12
x = -12/3
x = -4
x = 5 - 9y
-4 = 5 - 9y
-4 - 5 = - 9y
-9 = - 9y
-9/-9 = y
1 = y
solution is (-4,1)
====================
3x = 5y - 9
-3x = -2y + 3 ....I rearranged this equation from 2y = 3x + 3
----------------add
0 = 3y - 6
6 = 3y
6/3 = y
2 = y
3x = 5y - 9
3x = 5(2) - 9
3x = 10 - 9
3x = 1
x = 1/3
solution is (1/3,2)
====================
10x - 3y = 5....rearranged from 10x - 5 = 3y
2x - 3y = 1...multiply by -1
---------------
10x - 3y = 5
-2x + 3y = -1 (result of multiplying by -1)
---------------add
8x = 4
x = 4/8
x = 1/2
10x - 5 = 3y
10(1/2) - 5 = 3y
5 - 5 = 3y
0 = 3y
0 = y
solution is (1/2,0)
======================
-6x - 4y = 10....multiply by -2
-12x - y = 13
----------------
12x + 8y = -20 (result of multiplying by -2)
-12x - y = 13
-----------------add
7y = - 7
y = -7/7
y = -1
-6x - 4y = 10
-6x - 4(-1) = 10
-6x + 4 = 10
-6x = 10 - 4
-6x = 6
x = -6/6
x = -1
solution is (-1,-1)
Answer:
Option B: 0.4
Step-by-step explanation:
We have 20 dots.
Such that each column represents the repetitions for each proportion.
So:
0.1 -> 3 times
0.2 -> 1 time
0.3 -> 4 times
0.4 -> 6 times
0.5 -> 3 times
0.6 -> 3 times
Now we can compute the mean of these values, and that will be the best estimation we can make with the given data.
Remember that for a set of N values:
{x₁, x₂, ..., xₙ}
The mean is:

In this case we have the set of 20 points described above, then the mean is:

Rounding to the first place after the decimal point, we get:
M = 0.4
Then the correct option is option B.
Answer: 13
Step-by-step explanation:

add 21 both sides

divide both sides by 7

So more than 13 cars
Using the given exponential function, it is found that it will take 1.5 years for the amount of savings to double from the initial amount deposited of $1250.
<h3>Exponential function:</h3>
The <em>exponential function</em> that models the savings in the bank account is given by:

- In which t is the time in years that the money has been in the account.
The time to double from the initial amount deposited of $1250 is t for which S(t) = 2(1250) = 2500, hence:








It will take 1.5 years for the amount of savings to double from the initial amount deposited of $1250.
To learn more about exponential functions, you can take a look at brainly.com/question/14855561