Line 1:
Expanding the vertex form, we have
x² + 2·1.5x + 1.5² - 0.25 = x² +3x +2
Expanding the factored form, we have
x² +(1+2)x +1·2 = x² +3x +2
Comparing these to x² +3x +2, we find ...
• the three expressions are equivalent on Line 1
Line 2:
Expanding the vertex form, we have
x² +2·2.5x +2.5² +6.25 = x² +5x +12.5
Expanding the factored form, we have
x² +(2+3)x +2·3 = x² +5x +6
Comparing these to x² +5x +6, we find ...
• the three expressions are NOT equivalent on Line 2
The appropriate choice is
Line 1 only
Answer:
Step-by-step explanation:
Half of the students in Mrs. Hill's class are between 147 centimeters and 154 centimeters tall. (correct)
The median height of the students in Mrs. Hill's class is 152 centimeters. (correct)
The interquartile range of this data set is 15 centimeters. (incorrect, 154-147=17 cm)
The mean height of the students in Mrs. Hill's class is 152.5 centimeters. (we don't get to know the mean height from the graph).
Answer:
5 more men
Step-by-step explanation:
10 men do a job in 6 hours.
To do the job in 2 hours, 1/3 of the time, you need 3 times as many men.
30 men do a job in 2 hours.
To do the job in twice the time, 4 hours, you need half the men.
15 men do a job in 4 hours.
15 men - 10 men = 5 men
You need 5 more men.
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