prantoscollos
prantoscollos prantoscollos
  • 10-12-2021
  • Mathematics
contestada

Solve 2x^2 - x ≥ 15. Show your work

Respuesta :

tinybooyah
tinybooyah tinybooyah
  • 10-12-2021

Answer:

x ∈ 〈-∞,-5/2]∪[3,+∞〉

Step-by-step explanation:

2x²-x-15 ≥ 0

2x²+5x-6x-15 ≥ 0

x(2x+5)-3(2x+5) ≥ 0

(2x+5)(x-3) ≥ 0

so

2x+5 ≥ 0

x-3 ≥ 0

2x+5 ≤ 0

x-3 ≤ 0

solve the equation

x ≥ -5/2

x ≥ 3

x ≤ -5/2

x ≤ 3

x ∈ [3,+∞〉

x ∈ 〈-∞,-5/2]

so x ∈ 〈-∞,-5/2]∪[3,+∞〉

Answer Link

Otras preguntas

answer it correctly ​
1. Brittle deformation is generally seen in a. rocks far below Earth's surface b. rocks with strong internal molecular bonds c. limestone and schist d. gypsum a
Explain how stroke is caused by substance abuse
Fill in the blank to make the fractions equivalent. 10/16 and /8 ?
little help pls? its for a friend
What does Martin Luther king’s speech show towards the end?
Best friends, todd and Alexis, each receive bonus checks in the same amount. They decide to use their bonuses toward a savings plan for the next world cup socce
Which is TRUE about skeletal muscles? A. They are not striated. B. They are found in the heart. C. They tire quickly. D. They are involuntary.
A bag of flour weighs 2.5 kilograms. About how much does the bag weigh in pounds ? Round to the nearest tenth I'll give you 55 points
What is meant by meant ? :-)​