11. Which of the following coordinates of points belong to the solution set of the inequality y < 3x2 + 3x - 6? A. (-1,2) C. (-2,7) B. (1, - 2) D. (-1,-1) 12. The floor of a conference hall can be covered completely with tiles. Its length is 36 ft. longer than its width. If the area of the floor is less than 2,040 ft?, what mathematical statement would represent the given situation? A. x2 - 36x < 2040 C. x2 + 36x < 2040 B. x2 + 36x > 2040 D. x2 - 36x > 2040 13. A rectangular box is completely filled with dice. Each die has a volume of 1 cm. The length of the box is 3 cm greater than its width and its height is 5 cm. Suppose the box holds at most 140 dice. Which equation would give us the possible dimension of the box? A. 5w2 + 15w < 140 C. 5w2 + 15w > 140 B. 5w2 + 15w > 140 D. 5w2 + 15w < 140 14. The following situations models real-life situations using quadratic functions EXCEPT A. Distance travelled when you go for a C. Shooting a ball on a ring. jog B. Diving from a platform. D. Shooting a cannon. 15. Which of the following represents a quadratic function? A. y = 3 + 2x2 C. y = 3x + 22 B. x= 3 + 2y2 D. y = 2* - 3
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Answer:
In the equation x² + 5x – 14 = 0, the solutions are __________.
Answer:
7 and -2
The answer base on the choices is letter a.
Step-by-step explanation:
You may use the foil method. I just did the Trial And Error.
\begin{gathered}(x + 7)(x - 2) \\ {x}^{2} - 2x + 7x - 14 = 0 \\ {x}^{2} + 5x - 14 = 0\end{gathered}
(x+7)(x−2)
x
2
−2x+7x−14=0
x
2
+5x−14=0
Therefore, 7 and -2 is the answer.