Answer:
-3
Step-by-step explanation:
2x - 4y = 12
4y = 2x - 12
y = ½x - 3
Y intercept is -3
X intercept is 6
You divide 42 by 7 which equals 6
For this case we must find the solution set of the given inequalities:
Inequality 1:

Applying distributive property on the left side of inequality:

Subtracting 3 from both sides of the inequality:

Dividing by 6 on both sides of the inequality:

Thus, the solution is given by all the values of "x" greater than 3.
Inequality 2:

Subtracting 3x from both sides of the inequality:

Subtracting 3 from both sides of the inequality:

Thus, the solution is given by all values of x less than 4.
The solution set is given by the union of the two solutions, that is, all real numbers.
Answer:
All real numbers
Answer:
There are 400 possible zip codes in the Houston area
Step-by-step explanation:
Here, we want to calculate the possible number of zip codes in the Houston area
We have 5 digits to form
77 is the first two digits ( this is fixed)
For the third digit, we are selecting 1 number out of 0,3,4 or 5
This means 4 C 1
The remaining digits can be any digits
We have 0-9, a total of 10 digits
The first will be 10 C 1 and the second last digit too is 10 C 1
So the number of possible zip codes will be;
4 C 1 * 10 C 1 * 10 C 1
= 4 * 10 * 10 = 400 possible zip codes
The most accurate and most likely probability is found by having a large, non-biased sample. The answer choice that shows this is D. Determine the ethnicity of 100 men (assumingly selected randomly) from a large city and determine the number who are Caucasian.
This answer choice showcases a large sample group, that was selected randomly from a large city. This would give you varied people to contribute to your study and give you an accurate representation of what the demographics of the city are.
I hope this helps! :)