A rectangle has vertices H(3,0), I(3,7), J(6,7) , and K(6, 0) . Use the coordinates to find the perimeter of the rectangle. _uni
1 answer:
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Answer:
A. (3,1)
B. g(x)=|x-3|+6
C. h(x)=-|x-3|-6
Step-by-step explanation:
A. To graph the absolute value function f(x) = |x - 3| + 1, first graph the parent absolute value function y=|x| and then translate it 3 units to the right and 1 unit up (see green graph in attached diagram). The vertex of the function f(x) is at point (3,1).
B. The function g(x) translates f(x) 5 units up, so its equation is
g(x)=f(x)+5
g(x)=|x-3|+1+5
g(x)=|x-3|+6
Blue graph in attached diagram.
C. The function h(x) reflects g(x) over the x-axis, so the equation of the function h(x) is
h(x)=-g(x)
h(x)=-(|x-3|+6)
h(x)=-|x-3|-6
Red graph in attached diagram.
Answer:
80%
Step-by-step explanation:
According to the given data, the numbers 0 through 6 represent students who sent a text yesterday while the numbers 7 through 9 represent students who did not send a text yesterday.
Based on this key, we will calculate the number of students who sent the text yesterday and the number of students who did not sent the text yesterday.
The given data is: 62072, 34570, 80983, 04292, 83150, 36330, 96268, 14077, 77985, 13511
For each group we will identify how many students sent the text and how many students did not. According to the key, a number from 0 to 6 will be counted as a student who sent the text and a number from 7 to 9 will be counted as a student who did not send the text. Students who did not sent the text are made bold in the groups below.
62072: 4 students sent the text, 1 did not
34570: 4 students sent the text, 1 did not
80983: 2 students sent the text, 3 did not
04292: 4 students sent the text, 1 did not
83150: 4 students sent the text, 1 did not
36330: All 5 students sent the text
96268: 3 students sent the text, 2 did not
14077: 3 students sent the text, 2 did not
77985: 1 student sent the text, 4 did not
13511: All 5 students sent the text
We need to find the probability that 3 or more of a group of 5 students randomly selected will send a text today.
From the given groups, the number of groups where 3 or more students sent a text = 8
This represents our number of favorable or desired outcomes.
Total number of possible outcomes is the total number of groups = 10
Since, probability is defined as the ratio of number of favorable outcomes to total number of outcomes, based on the simulated data the probability that 3 or more of a group of 5 students randomly selected will send a text today will be =
Thus, based on the simulated data there is 80% probability that 3 or more of a group of 5 students randomly selected will send a text today