4a² − 20a + 25. is the answer.
Answer:
Below
Step-by-step explanation:
Let y be the missing number inside the box. The equation is:
●y( x-3)+2x= -(x-5)+4
● y (x-3) +2x = -x+5+4
● y (x-3) +2x = -x+9
● y (x-3) +2x+x = 9
●y(x-3)+3x =9
● yx-3y+3x= 9
●yx-3y+3x-9=0
●y(x-3) +3(x-3) =0
● (x-3)(y+3) = 0
●x-3=0 or y+3=0
●x=3 or y = -3
●x=3 or -y = 3
Add them together
● x-y = 6
●x=6+y
● y =6-x
So the number we should put in the box is 6-x
Let the price of the goldfish be x
Let the price of the rainbow fish be y
Anna bought 8 fish, therefore, Anna paid 8x for the gold fish
Anna bought 2 rainbow fish, therefore, Anna paid 2y for the rainbow fish
We know that the total amount that Anna paid is 37$.
Therefore:
8x + 2y = 37 ..................> equation I
Now, we know that the rainbow fish cost 6$ more than the goldfish (since the verb "cost" is plural, therefore the total payment of rainbow fish is 6$ more than the total payment of gold fish).
Based on this,
2y + 6 = 8x
2y = 8x - 6 ...................> equation II
Substitute by equation II in equation I, we can get the following equation:
8x + 8x - 6 = 37
16x = 43 ................> The desired equation (equation III)
Solving equation III, we can calculate the price of one gold fish as follows:
16x = 43
x = 2.6875$
If we substitute by the value of x in equation I, we can calculate the price of one rainbow fish as follows:
8(2.6875) + 2y = 37
y = 7.75$
Step-by-step explanation:The other 3 vertices are
A (3,1)
B (3,5)
C (7,1)
D (7,5)
Answer:
3 km per hour
Step-by-step explanation:
You can deduct the answer instinctively since both the distance and the time of the descent are expressed in /5... so you can just get rid of the '/5' in both instances to get the result: 3 kilometers in 1 hour.
But you can also find it easily using the cross-multiplication system:
Then you multiply each side by 5 to get
3 km = 1 hour
Thus the rate of descent is of 3 km per hour.
