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1 answer:
First part
Determine 2 points that pass through x + 2y = 5
(i) If x = 1
x + 2y = 5
1 + 2y = 5
2y = 4
y = 2
(ii) If x = 3
x + 2y = 5
3 + 2y = 5
2y = 2
y = 1
Two points that pass through this line are (1,2) and (3,1)
Second part
Determine 2 points that pass through 3x = 15 - 6y
(i) If x = 1
3x = 15 - 6y
3(1) = 15 - 6y
3 = 15 - 6y
6y = 15 - 3
6y = 12
y = 2
(ii) If x = 3
3x = 15 - 6y
3(3) = 15 - 6y
9 = 15 - 6y
6y = 15 - 9
6y = 6
y = 1
Two points that pass through this line are (1,2) and (3,1)
BOTH OF THE LINE pass through the same two points, that means the lines are the same because they overlap. Look at the attachment.
Determine 2 points that pass through x + 2y = 5
(i) If x = 1
x + 2y = 5
1 + 2y = 5
2y = 4
y = 2
(ii) If x = 3
x + 2y = 5
3 + 2y = 5
2y = 2
y = 1
Two points that pass through this line are (1,2) and (3,1)
Second part
Determine 2 points that pass through 3x = 15 - 6y
(i) If x = 1
3x = 15 - 6y
3(1) = 15 - 6y
3 = 15 - 6y
6y = 15 - 3
6y = 12
y = 2
(ii) If x = 3
3x = 15 - 6y
3(3) = 15 - 6y
9 = 15 - 6y
6y = 15 - 9
6y = 6
y = 1
Two points that pass through this line are (1,2) and (3,1)
BOTH OF THE LINE pass through the same two points, that means the lines are the same because they overlap. Look at the attachment.
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Answer:
B. x<27
Step-by-step explanation:
The shelter has 165 animals.
The shelter must keep its total occupancy below 300.
The shelter takes in an average of 5 animals per day. If x is the number of days, then in x days the shelter takes 5x animals. In total there will be
165+5x animals. This number must be less than 300, so
Answer:
The solutions are:
Step-by-step explanation:
We have the following quadratic equation
We can rewrite the equation as follows
Now we use the quadratic formula to solve the equation
For an equation of the form the quadratic formula is:
In this case:
Then: