we have
the solution is the interval -------> (3,∞)
therefore
the answer in the attached figure
The graph of the function f(x) = –(x + 3)(x – 1) is shown below.
2 answers:
You might be interested in
Before dilation:
the height of the triangle is h₁ = 7 - (-1) = 8
the width of the triangle is w₁ = 7 - (-5) = 12
After dilation:
the height of the is h₂ = 9-7 = 2
the width of the triangle is w₂ = -5 - (-8) = 3
The scale factor is h₂/h₁ = 2/8 = 1/4 = 0.25
Also, the scale factor is w₂/w₁ = 3/12 = 1/4 = 0.25
Answer: The scale factor is 0.25
the height of the triangle is h₁ = 7 - (-1) = 8
the width of the triangle is w₁ = 7 - (-5) = 12
After dilation:
the height of the is h₂ = 9-7 = 2
the width of the triangle is w₂ = -5 - (-8) = 3
The scale factor is h₂/h₁ = 2/8 = 1/4 = 0.25
Also, the scale factor is w₂/w₁ = 3/12 = 1/4 = 0.25
Answer: The scale factor is 0.25
Answer:
(a) Mean=74
(b) Median=70
(c) The best measure of center= Median.
Step-by-step explanation:
We have been given a data set of PSAT scores of Mrs. Turay's eight graders. We are asked to find mean and median of the given data set.
(a) Let us find mean of data set by dividing the sum of given scores by the number of students.
Therefore, the mean test score will be 74.
(b) Now let us find median of our given data set. We have been given that number of students is 10, therefore, our median will be the average of 5th and 6th term.
60, 62, 67, 69, 70, 70, 71, 75, 76, 120.
We can see that 5th term is 70 and 6th term is 70 as well.
Therefore, the median test scores will be 70.
(c) We can see that our data set has an outlier score as 120, which has increased the mean. Mean score is greater than median score. Since median is not affected by extreme value outliers, therefore, median will be the best measure of center for given test scores.