Translate the word sentence into an inequality. 2 less than a number is more than 8
2 answers:
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Answer:
The graph that includes points (-3,-3) and (0,3)
Step-by-step explanation:
In the pictures attached, the options are shown.
The equation:
y+3=2(x+3)
has the point-slope form, which is:
y-y₁=m(x-x₁)
where (x₁, y₁) is a point on the line and <em>m</em> is its slope. This means that (-3,-3) is on the line. To know the y-intercept of the line, we have to replace x = 0 into the equation, as follows:
y+3=2(0+3)
y+3 = 6
y = 6 - 3
y = 3
Then, point (0, 3) is on the line.
Answer:
The appropriate conclusion that answers the question stated in step one is:
- The weak correlation value does not support the idea that beavers benefit beetles.
- The largest number of beetle larvae was 55 and the largest number of stumps was 5.
Step-by-step explanation:
1) Select the appropriate practical question.
The appropriate practical question is:
"How does the number of beaver-caused stumps influences the number of beetle larvae clusters?"
2) Make a scatter plot.
The scatter plot is attached below.
From the scatter plot it can be seen that there exists a negative relationship between beaver stumps and beetle larvae. That is as the number of stumps increases the number of beetle larvae decreases.
The maximum number of beaver stumps found is 5.
3)
The best numerical summary for this problem are,
Correlation and regression line
The least square regression line for predicting the number of beetle larvae from the number of stumps is:
<em>y</em> = 31.594 - 2.8365 <em>x</em>.
Use the Excel function "=CORREL(array1,array2)" to compute the correlation.
The correlation value is, <em>r</em> = -0.219.
Both the correlation coefficient and regression line explains a negative relationship between the number of beetle larvae and the number of stumps.
Values amid 0 and 0.3 (0 and -0.3) implies a weak positive (negative) linear relationship amid the variables.
Thus, a correlation coefficient, r = -0.219, indicates a weak negative correlation between two variables.
Thus, the appropriate conclusion that answers the question stated in step one is:
- The weak correlation value does not support the idea that beavers benefit beetles.
- The largest number of beetle larvae was 55 and the largest number of stumps was 5.
Solution:
Keep in mind ,
Equation of line joining two points (a,b) and (p,q) is given by :
Equation of line P which is obtained by joining (- 8,15) and (6, - 12) is given by:
Equation of line Q which is obtained by joining (4,16) and (-9, 10) is given by:
Equation of line P and Q are
27 x+14 y+6=0-------(1)× 2
6 x-13 y+184=0-------(2)× 9
54 x + 2 8 y+12=0---(1)
54 x -117 y +1656=0----(2)
(1) - (2)
145 y= 1644
y=11.33,
27 x+14 y+6=0-------(1)×13
6 x-13 y+184=0-------(1)×14
351 x + 182 y + 78=0-----(1)
84 x - 182 y +2576=0----(2)
(1) + (2)
435 x + 2654=0
x = - 6.11
So, solution set is (-6.11, 11.33)
Option (C) is true. (−2, 4), because this point makes both the equations incorrect.
