Answer:
1.Given : Inequalities and
To find : Solve the system of inequalities by graphing ?
Solution :
Let the equation 1 -
Equation 2 -
Plot these equation in the graphing tool,
Equation 1 is shown by red dotted line.
Equation 2 is shown by blue dotted line.
The intersection point of the equations is the solution of the system i.e. (0,-1).
Refer the attached figure below.
The solution of inequalities is at (0,-1).
2. Y=5-2x/3
Step-by-step explanation:
Answer:
The answer is the last one (32x^7y^15)
You can bring x to the second power (x^2) because (x) is basically x^1. This is a basic exponent rule. (x^m)^n = x^m times n.
Then you can apply this rule to (2xy^3)^5. First you bring two to the fifth power and get 32. Then you bring x^5 according to the rule. Then you bring y^15, also because of the rule.
Now you have:
x^2 times 32x^5y^15
Now you just multiply the like terms together (x^2 and x^5)
When you multiply two exponents with the same base, you add the exponents together: a^n times a^m = a^n+m.
So you end up with 32x^7y^15
#2 is answer 4, #3 is answer 3, #4 is answer 4. The answer to #5 is 6xy if it is a possibility.
7) circle all of them8) write 1/the number it is seperatedby for all three and just divide the shapes evenly9) in thing order: no.no.yes,yes
Answer:
Step-by-step explanation:
The research question is given as "Does chewing your food for a longer period of time reduce one's caloric intake of food atdinner?"
Here interest of study variable is "reduction of caloric intake of food at dinner".
For construction of confidence interval, the researcher records the calorie consumption at dinner.
Since calorie consumption is a variable, we need to construct confidence interval for mean.
So correct choice of sentences as "The confidence interval for a mean should be constructed because the variable of interest is an individual's reduction in caloric intake, which is a quantitative variable."