Answer:
k = -2
Step-by-step explanation:
If 
Then

So

From this follows k = -2
Answer: no solution
Step-by-step explanation:
They have the same slope which means they are parallel lines that will never cross or intersect. This mean that there is no solution
Answer:
A and E
Step-by-step explanation:
Given
20x² - 26x + 8 = 0 ( divide through by 2 )
10x² - 13x + 4 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 10 × 4 = 40 and sum = - 13
The factors are - 5 and - 8
Use these factors to split the x- term
10x² - 5x - 8x + 4 = 0 ( factor the first/second and third/fourth terms )
5x(2x - 1) - 4(2x - 1) = 0 ← factor out (2x - 1) from each term
(2x - 1)(5x - 4) = 0
Equate each factor to zero and solve for x
2x - 1 = 0 ⇒ 2x = 1 ⇒ x =
→ E
5x - 4 = 0 ⇒ 5x = 4 ⇒ x =
→ A
Answer: 18 ≤ 6*S ≤ 30
Where S is the number of salmon fillets in one single package.
Step-by-step explanation:
Let's define S as the number of salmon fillets in one package.
We know that it contains at least 3, and no more than 5, then we can write:
3 ≤ S ≤ 5
Now we want to know the total number of salmon fillets that could be on 6 packages, then if S is the number of salmon fillets in one package, 6*S will e the number of salmon fillets in 6 packages.
We can find this by multiplying the inequality:
3 ≤ S ≤ 5
by 6.
We get:
6*3 ≤ 6*S ≤ 6*5
18 ≤ 6*S ≤ 30
Then in 6 packages, we could have any number between 18 and 30 fillets of salmon.
You take 130 divide by 2 to get 65 when its 1/3 full. Times 3 to 65 when its 3/3 full meaning full. 165 is your answer.