Answer: c.(3, 25) and (7, 9)
y = –x^2 + 6x + 16 and y = –4x + 37
Plug in -4x+37 for y in first equation . It becomes
Combine like terms. add 4x and subtract 37 on both sides
Divide the whole equation by -1 to remove negative sign from -x^2
Now factor the left hand side
(x-7)(x-3) = 0
x-7 =0 and x-3=0
x= 7 and x=3
Now we find out y using y = –4x + 37
when x= 7 , then y=-4(7) +37 = 9
when x= 3, then y=-4(3) + 37 = 25
We write solution set as (x,y)
(7,9) and (3,25) is our solution set
Step-by-step explanation:
coefficient of x is 17
coefficient of y is -5
coefficient of constant term: 3 + 19 + 10 = 32
<u><em>The law illustrated is Distributive Law</em></u>
This question is under a topic called algebra laws.
The laws are;
- Commutative law; This implies that when we are to add or multiply numbers, the order of addition or multiplication doesn't matter as we will still get same result.
- Associative law; This implies that if we want to add more than 2 numbers, if we decide to add the first 2 before adding the third one, we will still get the same result as if we added the second one to the third one before adding to the first one. This law also applies to multiplication.
- Distributive law; This implies that when two numbers are multiplied to produce a result, both numbers are factors of the result.
We are told in the question that ; 5n x 1 = 5n
This means that 5n and 1 are factors of 5n and this corresponds to distributive law
Read more at; brainly.in/question/39479409?tbs_match=1
Try the first option if that's an option
