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Ne4ueva [31]
3 years ago
7

Express the solution of, x^3 + 2x^2 < x + 2, using interval notation.

Mathematics
1 answer:
Rudiy273 years ago
6 0

x³ + 2x² - x - 2 < 0

x³ - x + 2x² - 2 < 0

x(x² - 1) - 2(x² - 1) < 0

(x - 2)(x² - 1) < 0

(x - 2)(x - 1)(x + 1) < 0

by chacking we get the solution

x ∈ (-∞,-1) ∪ (-1,1)

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Dion is playing the game tag with his friend bill they have played the games every day during play time at school for the last 4
Margarita [4]
You would subtract how many times Dion tagged bill with how many times bill tagged Dion, so 12 - 7 = 5
7 0
3 years ago
Read 2 more answers
A __________ contains all the subset of superset. A superset. B proper subset. C null set 2.Positive square root of 1/3 is______
aivan3 [116]

Answer:

i) superset (A)

ii) 0.577 (A)

Step-by-step explanation:

i) A subset is a set which has all its elements contained in another set.

For two sets A and B, if each element of set A is an element of set B, then A is a subset of B.

A superset is a set that houses another set. So if set A is a subset of set B, then B is a superset of A.

Proper subset

For a set (A) to be a proper subset of another (B) every element of A would be in B but there exists at least one element in B that is not in A.

An Empty Set (or Null Set) doesn't have aren't any elements in it. It is empty.

Since every element of the superset is in the superset. Therefore, A superset contains all the subset of superset.

ii) Square root of 1/3 = √⅓

= ± √⅓ = +√⅓ or -√⅓

+√⅓ = +(√1/√3) = +(1/√3)

+√⅓ = +(1/1.7321)

+√⅓ = +0.577

Therefore Positive square root of 1/3 is 0.577 (A)

3 0
3 years ago
What is a trigonometric ratio
Crank

ø=Angle theta

a= length of opposite side a

h=length of hypotenuse h

5 0
2 years ago
Simplify your answer and write it as a proper fraction,improper fraction,or interger
devlian [24]

Answer:

2

Step-by-step explanation:

Take any 2 points on the graph,

(50, 10) & (90, 90)

Use the slope formula:

\frac{y2-y1}{x2-x1}

= (90-10)/(90-50)

= (80)/(40)

= 2

Hence, the slope is 2.

<em>Feel free to mark this as brainliest! :D</em>

4 0
3 years ago
let a(x) be the amount of money remaining on hilarys gift card after purchasing x apps on her phone since a(12) = ??? , hilary w
mezya [45]

Answer:

Step-by-step explanation:

Given ⇒⇒⇒ a(x)=50-1.25x

a(x) be the amount of money remaining on Hillary's gift card.

x number of apps purchased on her phone

∴ a(12) = 50 - 1.25 * 12 = 35

Which mean : She have amount of total money = 50

she purchased 12 apps costs 12 *1.25 = 15 . So , she spent 15

The remaining on Hillary's gift card = 50 - 15 = 35

The correct answer is :

a(12) =35 .

This means that purchasing 12 apps , Hillary has $35 left

7 0
3 years ago
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