Answer:
x = 11 and y = 4
Step-by-step explanation:
Given equations are :
x+y=15 ...(1)
-2x+5y=-2 ...(2)
We need to solve the systems of equations.
Multiply equation (1) by 2.
2x+2y=30 ...(3)
Adding equation (2) and (3).
-2x+5y+2x+2y = -2+30
7y = 28
y = 4
Put the value of y in equation (1).
x+4=15
x = 11
So, the solution of the given equations are x = 11 and y = 4.
Answer:
1. This is an observational study.
2. The explanatory variable is A. red meat consumption
3. The response variable is B. Whether or not a subject dies.
Step-by-step explanation:
1. An observational study is a type of study where the researcher would observe the effects and he would also make no attempt to change the outcome
2. The explanatory variable is also called the independent variable and in this case it is red meat consumption because it is what would be used to predict the dependent variable
3. The response variable is known as the dependent variable it is our variable of interest. It is what the researcher is trying to find out. In this case the answer is whether or not the subject dies
Answer:
The number, x = { -5 < x < 14}
This means x is any integer between -5 and 14
Step-by-step explanation:
From the statement, let the number be x
3 + x = y; y = { -2 < y < 17}
This means that y is any integer between -2 and 17
Therefore, x = y - 3
Subtract 3 from the limits of y
i.e. -2 - 3 = -5 and 17 - 3 = 14
Hence, x = { -5 < x < 14}
Answer:
Step-by-step explanation:
1. Given WX>XY.
2. Then angle 3 has larger measure than angle 4, because angle opposite longer side is larger angle. This means that
3. Consider exterior angle 1. By the exterior angle theorem, the measure of the exterior angle is equal to the sum of the measures of remote interior angles. Then
4. Note that angle 2 has positive measure and then
5. Since 
and 
by the transitive property,
