Answer:
y= -x
Step-by-step explanation:
<u>slope- intercept form</u>
y= mx +c, where m is the slope and c is the y-intercept.
Given that the slope is -1, m= -1.
Substitute m= -1 into the equation:
y= -x +c
To find the value of c, substitute a pair of coordinates into the equation.
When x= 2, y= -2,
-2= -2 +c
c= -2 +2
c= 0
Thus, the equation of the line is y= -x.
Answer: The customer should buy Giana’s jewelry box.
Step-by-step explanation:
The jewelry boxes are rectangular prisms, in order to find the box that would hold the most amount of jewelry we need to find the volumes of each box.
V= l.w.h
Katherine’s box: 5x5x5= 125
Giana’s box: 10x12x2= 240
Jackson’s box: 10x5x4= 200
Answer:
12i + 2
Step-by-step explanation:
Combine like terms.
-1 + 3 = 2
5i + 7i = 12i
12i + 2 is your answer.
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Answer:
He performed better in the 800 m race
Step-by-step explanation:
Obtain the standardized score for each event :
Zscore = (score - mean) / standard deviation
1000 meter :
Mean = 4.5 ; Standard deviation = 0.75 ; x = 4.1
Zscore = (4.1 - 4.5) / 0.75
Zscore = - 0.4 / 0.75 = - 0.5333
800 meter :
Mean = 3.2 ; Standard deviation = 0.4 ; x = 3
Zscore = (3 - 3.2) / 0.4
Zscore = - 0.2 / 0.4 = - 0.5
-0.5 > - 0.533
Hence, he performed better in the 800 m race
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