Answer:
(4,1)
Step-by-step explanation:
when points are reflected on the y-axis you switch your x coordinate from positive to negative or the other way around the y coordinate stays the same.
(2,1) reflected is (-2,1)
(7,4) reflected is (-7,4)
(-8,-4) reflected is (8,-4)
so (-4,1) reflected is (4,1)
Answer:
D) 32
Step-by-step explanation:
Given;
series: 56, 54, 50, 38, 34, ....
find the difference between successive numbers;
56 54 50 38 34 x
2 4 12 4 2
The highest difference between the numbers is 12, after which it decreases to 4 and finally back 2.
The next number "x" is calculated as;
34 - 2 = x
34 - 2 = x
32 = x
Therefore, the next number should be 32.
Answer:
3 dogs and 5 cats were adopted out on Christmas eve.
Step-by-step explanation:
Let the number of dogs adopted out on Christmas eve be x and the number of cats be y.
From the question,
On Christmas Eve, the animal adopted out 8 total animals
That is, x + y = 8 ...... (1)
and brought in $400 in total adoption fees.
Also from the question,
Each dog adoption fee was $75 and each cat adoption fee was $35.
∴ On Christmas Eve,
75x + 35y = 400 ...... (2)
Now, to determine how many dogs and how many cats were adopted out on Christmas Eve, we will solve the two equations simultaneously.
From equation (1)
x + y = 8
Make x the subject of the relation.
∴ x = 8 - y ...... (3)
Substitute the value of x into equation (2)
75(8 - y) + 35y = 400
600 - 75y + 35y = 400
600 -40y = 400
600 - 400 = 40y
200 = 40y
∴ 40y = 200
y = 200/40
y = 5
Substitute the value of y into equation (3)
x = 8 - y
x = 8 - 5
x = 3
∴ x = 3 and y = 5
Hence, 3 dogs and 5 cats were adopted out on Christmas eve.
1,1,2,3,5,6,7,8,8,8,9,14
bekas [8.4K]
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