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fiasKO [112]
2 years ago
7

What is the solution set of the quadratic inequality x^2+x-2>0?

Mathematics
2 answers:
vekshin12 years ago
8 0

Answer is A.

The values of x must be greater than or equal to 1 and the value of x must be less than or equal to -2.

x >= 1.....x <= -2

Please see attachment!


Svetradugi [14.3K]2 years ago
8 0

Answer: The solution set is (-\infty, -2)\cup (1, \infty).

Step-by-step explanation:  We are given to find the solution set of the following quadratic inequality:

x^2+x-2>0.

The solution is as follows:

x^2+x-2>0\\\\\Rightarrow x^2+2x-x-2>0\\\\\Rightarrow x(x+2)-1(x+2)>0\\\\\Rightarrow (x+2)(x-1)>0.

We know that if 'a' and 'b' are two numbers such that a × b > 0, then either both 'a' and 'b' are greater than 0 or both of them are less than 0.

Therefore, we have

either

x+2>0,~~~x-1>0\\\\\Rightarrow x>-2,~~~~x>1\\\\\Rightarrow x>1,

or

x+2

Thus, the required solution set is x < -2 and x > 1. We can also write the solution set in terms of intervals as (-\infty, -2)\cup (1, \infty).

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Can someone plz help me on this plz I beg u plz
JulsSmile [24]
<h3>Answer:  25w+200 > 750</h3>

==========================================================

Explanation:

He starts off with 200 cards. Then he adds on 25w more cards for each week (w). Overall, he'll have 200+25w cards

We can think of it like this:

  • After 1 week, he adds on 25*1 = 25 cards
  • After 2 weeks, he adds on 25*2 = 50 cards total
  • After 3 weeks, he adds on 25*3 = 75 cards total
  • After 4 weeks, he adds on 25*4 = 100 cards total, and so on.
  • After w weeks, he adds on 25w cards total

So that's another way to see where the 25w comes from.

The expression 200+25w is the same as 25w+200. This is because we can add two numbers in any order.

------------

Since he wants to know when he'll have more than 750 cards, this means we set 25w+200 greater than 750.

That's how we get to the answer of 25w+200 > 750

Notice how there isn't a line under the inequality sign. We aren't using the "greater than or equal to" symbol here. We want to know when the cards gets over 750, but we don't want to know when it's equal to 750.

5 0
3 years ago
Every whole number is a real number . <br> True or false
grandymaker [24]
True. No imaginary number is considered "whole", all whole numbers are rational and real.
8 0
2 years ago
Read 2 more answers
Please help!<br><br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7B4.2%7D%7B7%5Cfrac%7B5%7D%7B7%7D%20%7D%20%3D%20%20%5Cfrac%7B3%5C
emmasim [6.3K]

Answer:

d = 40/7

Step-by-step explanation:

Solve for d:

0.544444 = 28/(9 d)

0.544444 = 49/90:

49/90 = 28/(9 d)

49/90 = 28/(9 d) is equivalent to 28/(9 d) = 49/90:

28/(9 d) = 49/90

Take the reciprocal of both sides:

(9 d)/28 = 90/49

Multiply both sides by 28/9:

Answer:  d = 40/7

5 0
3 years ago
3,-2 on a graph what i it
emmasim [6.3K]

Answer:

If you start at (0,0), go right 3 times and down 2 times.

Step-by-step explanation:

6 0
2 years ago
Which expression is equivalent to 4+2(1+3x)?
Likurg_2 [28]

Answer:

6+18x

Step-by-step explanation:

=6(1+3x)

=6×1+6×3x

=6+18x

7 0
3 years ago
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