173k views
0 votes
How to solve and answer

How to solve and answer-example-1

2 Answers

3 votes

x = 3 or x = -2

Explanation:

f(x) = (2x + 4)(x - 3)

y = (2x + 4)(x - 3)

x - intercept occurs when y = 0

0 = (2x + 4)(x - 3)

0 = 2x² - 6x + 4x - 12

2x² - 2x - 12 = 0

(2x² - 2x - 12)/2 = 0/2

x² - x - 6 = 0

From the quadratic formula,

x = (-b +- √(b² - 4ac))/2a

x = (- ( -1 ) +- √(( -1)² - 4( 1 )( -6 )))/2( -1 )

x = (1 +- √(1 - ( -24)))/-2

x = (1 +- √25)/-2

x = (1 +- 5)/-2

x = 3 or x = -2

User Denis Fetinin
by
8.6k points
2 votes

Answer:

D. (-2, 0) and (3, 0).

Explanation:

At the x -intercepts the function = 0, so

(2x + 4)(x - 3) = 0

2x + 4 = 0 and x - 3 = 0

x = -4/2 = -2 and x = 3.

So they are (-2, 0) and (3, 0).

User Basil Bourque
by
9.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories