Answer:
( 
, 0 )
Step-by-step explanation:
To find the x- intercepts let y = 0, that is
2x² + 3x - 2 = 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 = 2 × - 2 = - 4 and sum = + 3
The factors are + 4 and - 1
Use these factors to split the x- term
2x² + 4x - x - 2 = 0 ( factor the first/second and third/fourth terms )
2x(x + 2) - 1 (x + 2) ← factor out (x + 2) from each term
(x + 2)(2x - 1) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
2x - 1 = 0 ⇒ 2x = 1 ⇒ x =
The x- intercepts are (- 2, 0 ), ( , 0 )
7.
One way to figure this out is to go from 2-10, and multiply them by them self each other to see what number works.
Another way is to use a calculator and the square root button.
Hope that helps!
20% of 2100 is 420
So the tax is $420
Then 2100-420= 1680
So he has $1680 left after paying the tax.
Answer:
Explanation:
7. f(x) = x^4 + 3x^3 - 6x^2 - 10x + 8
f(2) = 2^4 + 2^3 - 6^2 - 10(2) + 8
f(2) = 16 + 8 - 12 - 20 + 8
f(2) = 0
8. x^2 - 9 = (x - 3)(x + 3)
x ^2 + x - 6 = (x + 3)(x -2)
Thus, the common factor is x + 3
The last one is the only one that will work.
For the first one the y intercept is when x = 0. The point would be 0,4
The second one gives a point of (4,0)
The third one is nonsense. (4,4) is not on this line.
