The answer is D.
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(- 2, - 3) is a solution to the given system of equations.
Answer: Option D
<u>Step-by-step explanation:</u>
Given equation are not presented in proper format. So, let assume the given system of are as below,
2 x - y = -1
2 x -4 y = 8
Now, subtract the second equation from the first, we get
(2 x - y) -(2 x - 4 y) = -1 -8
3 y = -9
y = -3 (obtained this when divide by 3)
Substituting y = - 3 into the first equation, we get
2 x - (-3) = - 1
2 x = - 1 + 3
x = - 2 (obtained when divide by 2)
Now, the answer is (x, y) = (- 2, - 3)
Let F be the father's current age, and E be Evie's current age.
F = E + 36 this is the current relation between the ages
F + 3 = 5(E + 3) this the relationship in 3 year (hence the + 3)
Then solve by substituting one equation into another:
(E + 36) + 3 = 5(E + 3)
E + 39 = 5E + 15
24 = 4E
6 = E
Evie's current age is 6.
*the scatter plot of the question is attached below
Answer:
Strong negative correlation
Step-by-step explanation:
In the scatter plot attached below, as the variable in the x-axis increases, the variable on the y-axis decreases. Thus, if a line of best fit is drawn, it would show a line that slopes downwards to our right. This shows a negative correlation between both variables in the scatter plot.
Also, we also see that the data points represented on the scatter plot are clustered more closely along the slope, showing strong negative correlation.
Therefore, the phrase that best describes the scatter plot is: strong negative correlation.