All categories

4 years ago

Graph the solution set for the quadratic inequality x2 + 2x + 1 > 0?

Mathematics

1 answer:

RoseWind [281]4 years ago

5 0

Answer:

Step-by-step explanation:

You want to factor the trinomial. What two numbers multiply to equal 1, but add to equal 2? Thats easy, its just 1.

You now have (x + 1) twice, so you can just square it like this:

$(x+1)^2>0$

We can make that term equal to 0 to get x = -1, but remember that this isnt an equation. This is an inequality, so x > -1

In order to graph this, you should shade everything to the right of -1 because we have the greater than sign. Make the circle open because we are not including -1. It is everything greater than -1

You might be interested in

Paul and Darry are selling fruit for a school fundraiser. Customers can buy small boxes of grapefruit. Paul sold 5 boxes of grap

const2013 [10]

Answer:

Step-by-step explanation:

Alright, lets gets started.

If x is the price of small box and y is the price of large box.

You have made both equations, absolutely correct.

$5x+8y=115$ .................. equation (1)

$6x+5y=92$ .................... equation (2)

Multiplying by 5 in equation (1) and multiplying by 8 in equation (2)

$25x+40y=575$ .................. equation (3)

$48x+40y=736$ ................... equation (4)

Subtracting equation 4 and equation (3)

$48x-25x=736-575$

$23x=161$

$x=7$

Plugging the value of x in equation (1)

$5*7+8y=115$

$35+8y=115$

$8y=115-35$

$8y=80$

$y=10$

So, cost of 5 large box of fruit = $5y = 5*10=50$

one small box of grapefruit and 5 large box of grapefruit will be = $7+50=57$

So, cost of each of one small box of grapefruit and 5 large box of grapefruit is $ 57. : Answer

Hope it will help :)

7 0

4 years ago

Read 2 more answers

The sequence 2, 3, 5, 6, 7, 10, … consists of

Kay [80]

The 76th term is 86.

<h3>What is sequence?</h3>

A sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members (also called elements, or terms). The number of elements (possibly infinite) is called the length of the sequence.

Given:

2, 3, 5, 6, 7, 10, …

The sequence consists of all natural numbers which are neither perfect squares nor perfect cubes.

We can as well sum the number of squares and cubes in the range with the number of the required term i.e

Number of squares = 8 ( 4,9,16,25,36,49,64,81)

Number of cubes = 2 (8 and 27; excluding 64 which is as well a square)

Required term = 75

So, 8+2+75 = 85.

Hence, the 85th term counting from 2 ( i.e 86) is the 75th term.

Learn more about sequence here:

brainly.com/question/16614966

#SPJ1