Step-by-step explanation:
Given.


Take the second equation and subtract 2y to both sides.


Substitute x into the first equation and simplify.




Invert.

Substitute Y into your second equation.



Add -6 to both sides.


Answer:
(6, -3)
Answer:

Step-by-step explanation:
Definition of negative exponent:

In our case, a = 3 and -n = -2.

Now we just evaluate the power in the denominator.

Answer:
d. 20
Step-by-step explanation:
Standard deviation is 4.5
Margin error for the problem is 2 hours
Probability 95%, that means that the siginficance level α is 1 – p
α = 1 – 0.95 = 0.05
margin of error (ME) can be defined as follows
ME = Z(α/2) * standard deviation/ √n
Where n is the sample size
Z(0.05/2) = Z(0.025)
Using a z table Z = 1.96
Now, replacing in the equation and find n
2 = 1.96 * 4.5/ √n
2 = 8.82/√n
√n = 8.82/2
√n = 4.41
n = 4.41^2
n = 19.44 ≈ 20
1.
(10m - 14) + 9 = 12 1. Given
2. 5m - 7 + 9 = 12 2. Distributive Property
3. 5m + 2 = 12 3. Simplify (added like terms)
4. 5m = 10 4. Subtraction Property of Equality
5. m = 2 5. Division Property of Equality