Answer:
a = 3
Step-by-step explanation:
Factorize (x+5)(x-4)(x+2)
(x+5)(x-4)(x+2)
= (x²-4x+5x-20)(x+2)
= (x²+x-20)(x+2)
= (x³+2x²+x²+2x-20x-40)
= x³+3x²-18x -40
Compare with x^3+ax^2
3x² = ax²
3 = a
Rearrange
a = 3
Hence the value of a that makes the expressions identical is 3
Answer:
y² + y + 
= (y + 
)²
Step-by-step explanation:
In most cases, we can factor a polynomial, or quadratic, by looking at the factors of the last term. In this case, the last term is . When we factor a polynomial, we are looking for two expressions that when multiplied together using FOIL (forward-outside-inside-last) will give us the polynomial. For example: (a + b)(a + b) or (a+ b)².
In order to get y² + y + , we are looking for a 'c' value that will add up to '1' which is our 'b' value (ay² + by + c).
Since 
Then, we can use as our factor for both expressions. Putting this together we get: (y + )(y + ) or (y + )²
Answer:
c. the spinner landing on orange or red
Step-by-step explanation:
So first you find how much is green
25 + 15 + 40 = 80
100 - 80 = 20
So the amount green is 20%
Then you choose the color that has the biggest percentage because it has a higher change of being chosen
25% is red
15% is blue
40% is orange
20% is green
orange and red is the biggest amount/ has the biggest percentage
c is your answer
Take one of the points in the table,
like x=1 y=5
or x=2 y=7
Write them into one of the choices on the list,
and see if the result is true.
For example,
-- Take the line in table that says x=1 y=5.
-- And take the first choice on the list y = x + 3 .
-- Write '1' in place of 'x', and write '5' in place of 'y'.
-- Then you have <u>5 = 1 + 3</u> .
Is this true ? I don't think so.
So the first choice on the list can't be correct.
Try thesame point x=1 y=5 with the other choices.
You'll find one that IS correct, and that's the answer.
