Answer:

Step-by-step explanation:
We have the following quadratic equation

The factored expression will have the following form

Where b and c are two real numbers which when added together result in -1, and multiplying them results in -20

You can verify that the numbers that meet this condition are:
-5 and 4
Then the factors are:

Step-by-step explanation:
3х + 2y = 14
3х - 2y = 10
6x=24
x=4
3×4+2y=14
12+2y=14
2y=14-12
2y=2
y=1
Answer:
42
Step-by-step explanation:
we could use inverse operation and multiply 7 by 6
Answer:
16 muffins in each batch
Step-by-step explanation:
112/7=16
The cost of each duck is $ 7 and cost of each chicken is $ 12.
Step-by-step explanation:
Given,
5 chickens and 3 ducks are bought by $ 81
A chicken costs $ 5 more than a duck.
To find the cost of each duck and cost of each chicken.
Let,
The cost of each duck = x
The cost of each chicken = x+5
According to the problem,
5(x+5)+3x = 81
or, 5x+25+3x = 81
or, 8x = 81-25
or, 8x = 56
or, x = 7
Hence,
The cost of each duck = $ 7
The cost of each chicken = $ 7+5 = $ 12