He could have scored 7, 14, 21, 28, 35, or 42 points (all multiples of 7 less than 45).
answer: B
The sides could be 1,14 or 2,7
Answer: 11, 30
Step-by-step explanation:
Given
There were a total of 41 national battlefields and national memorials
Suppose there are
national battlefields
So, national memorials are
The sum of the two must be 41

So, there are 11 national battlefields and
national memorials.
Answer:
6x^2 + 4x
Step-by-step explanation:
g(x) + f(x)
= -8x^2 - 3x + 5 + 2x^2 + 7x - 5
= -8x^2 + 2x^2 - 3x + 7x + 5 - 5
= - 6x^2 + 4x
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