Answer:
D
Step-by-step explanation:
If those two functions are the factors of a quadratic, then each of them can be equated to 0 to find the roots. Sometimes the roots are called the zeros.
2x - 5 = 0 Add 5 to both sides
2x - 5 + 5 = 0 + 5 Combine
2x = 5 Divide both sides by 2
2x/2 = 5/2
x = 5/2
You don't really have to find the other factor's 0 point. There is only 1 option that makes x = 5/2. On a test, it is important to take short cuts and save time. I'll find the other root anyway because this is not a test.
3x + 4 = 0 Subtract 4 from both sides
3x + 4-4 = 0 - 4 Combine
3x = - 4 Divide both sides by 3
3x/3 = - 4/3
x = - 4/3
i say C. -5, -2, 1, 4, 7 is your answer for question 1.
and for question 2 i think is E. -6, -4, -2, 0, 2.
Answer:
Step-by-step explanation:
a
The square root of 20 = 4.47 so a for sure.
But the root of 20 is also -4.48 so that means that 2 and 3 are added to the list
Now what to do about - 8
(- 8)^2 = 64
The square root of 64 = +/- 8
It's kind of slippery but it depends on how you see the problem. It is a bit ambiguous.
I would eliminate - 8 but your instructor may not. Argue that it should not be included, but don't take the argument on forever. Let it go.
a for sure.
b and c I think so.
-8 is iffy.
Answer a
In an ordered pair, x is the first number and y is the second number. So this is telling you x=1 and y=-5. You can take this information and plug it into the formulas.
x + 2y = -9
1 + 2(-5) = -9
1 + -10 = -9? True
x - y = 6
1 - -5 = 6? *
1 + 5 = 6? True.
(*Subtracting a negative makes it a positive.)
Answer:
3/7 x +5=8
move 5 to the other side
3/7 x= 8-5
3/7 x= 3
then move 7 to the other side it's sign is ÷ it will be ×
then 3x=3×7
3x=21
then move 3to the other side it's sign is × it will become ÷
x= 21/3
x= 7