Try them and see.
For the first:
3(-3) + 0 = -9 . . . . not > -8
3(-2) + (-1) = -7 . . . is > -8 . . . . . 2) (-2, -1) is a solution
For the second:
4 - 4(-2) = 12 . . . . not ≤ -6
-2 -4(1) = -6 . . . . . is ≤ -6 . . . . . . 2. (1, -2) is a solution
Answer:
D
Step-by-step explanation:
If (x - 5) is a factor of P(x) then P(5) = 0 ← Factor theorem
Given
P(x) = x³ - 5x² - x + 5, then
P(5) = 5³ - 5(5)² - 5 + 5 = 125 - 125 - 5 + 5 = 0
Since P(5) = 0 then (x - 5) is a factor of P(x)
5^23 - 5^21 = 5^(21+2) - 5^21
5^23 - 5^21 = 5^21*5^2 - 5^21*1
5^23 - 5^21 = 5^21*(5^2 - 1)
5^23 - 5^21 = 5^21*(25 - 1)
5^23 - 5^21 = 5^21*24
5^23 - 5^21 = 24*5^21
5^23 - 5^21 = 24*k
The original number is in the form 24k where k = 5^21, so this proves that the original number is a multiple of 24
Answer:
x = 6.5 or 13/2
Step-by-step explanation:
4(2x − 1) = 2x + 35
distribute the 4 to 2x - 1
8x - 4 = 2x + 35
subtract 2x
6x - 4 = 35
add 4
6x = 39
divide by 6
x = 6.5 or 13/2
Answer:
x = -18
Step-by-step explanation:
5 ( x + 9 ) = -45
→ Expand out the brackets to simplify the equation
5x + 45 = -45
→ Minus 45 from both sides to isolate 5x
5x = - 90
→ Divide both sides by 5 to isolate x
x = -18