Answer:
4y+3
Step-by-step explanation:
A system of equations with infinitely many solutions is a system where the two equations are identical. The lines coincide. Anything that is equal to
![3y=2x-9](https://tex.z-dn.net/?f=3y%3D2x-9)
will work. You could try multiply the entire equation by some number, or moving terms around, or adding terms to both sides, or any combination of operations that you apply to the entire equation.
You could multiply the whole thing by 4.5 to get
![13.5y=9x-40.5](https://tex.z-dn.net/?f=13.5y%3D9x-40.5)
. If you want, you could mix things up and write it in slope-intercept form:
![y= \frac{2}{3}x-3](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B2%7D%7B3%7Dx-3)
. The point is, anything that is equivalent to the original equation will give infinitely many solutions x and y. You can test this by plugging in values x and y and seeing the answers!
The attached graph shows that four different equations are really the same.
Answer:
12√3
Step-by-step explanation:
sin 30 =1/2
sin30=a/24. sin=opposit side/Hypotenuse
a is the opposite side of 30
1/2=a/24
a=12
now take pythagoras theroem
24^2=z^2+12^2
576=z^2+144
z^2=576-144
z^2=432
z=√432
z=√144*3
z=12√3
Answer:
Option B:
![H_0: \mu = 22.1](https://tex.z-dn.net/?f=H_0%3A%20%5Cmu%20%3D%2022.1)
![H_a: \mu \neq 22.1](https://tex.z-dn.net/?f=H_a%3A%20%5Cmu%20%5Cneq%2022.1)
Classification:
The hypothesis test is Two-tailed.
Step-by-step explanation:
The mean length of imprisonment for motor-vehicle theft offenders in this country is 22.1 months.
This means that the null hypothesis is that the mean is of 22.1 months, that is:
![H_0: \mu = 22.1](https://tex.z-dn.net/?f=H_0%3A%20%5Cmu%20%3D%2022.1)
A hypothesis test is to be performed to determine whether the mean length of imprisonment for motor-vehicle theft offenders in this city differs from the national mean of 22.1 months.
At the alternate hypothesis, we test if this mean is different of 22.1, that is:
![H_a: \mu \neq 22.1](https://tex.z-dn.net/?f=H_a%3A%20%5Cmu%20%5Cneq%2022.1)
Which means that the answer is given by option b).
Which of the following is the correct classification of the hypothesis test?
We test if the mean is different from a value, which means that the hypothesis test is Two-tailed.
Let x be the unknown number.
7x + 668 < 2000 => 7x plus 668 is less than 2000
where:
7x => x represents the number of cans to be collected in 7 days
668 is the number of cans already collected.
2000 is the target number of cans.
7x + 668 < 2000
<u> - 668 -668</u>
7x < 1332
<u>÷7 ÷7</u>
x < 190.30
or
x < 190
To check:
7x + 668 < 2000
7(190) + 668 < 2000
1330 + 668 < 2000
1998 < 2000