Find all x such that x^2+5x<6. Express your answer in interval notation.

Answers

Answer 1

Step-by-step explanation:

[tex]{:}\longrightarrow[/tex][tex]\sf x^2+5x <6 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x^2+5x+6 <0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x^2+3x+2x+6<0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x(x+3)+2 (x+3)<0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf (x+3)(x+2)<0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x+3 <0\:or (x+2)<0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x <-3\:or\:x <-2 [/tex]

Answer 2

Answer:

(-6, 1)

Step-by-step explanation:

x^2+5x<6,

x^2+5x-6<0,

(x^2-x) + (6x-6)<0,

x(x-1) + 6(x-1)<0,

(x-1)(x+6)<0,

-6<x<1

Interval Notation: (-6, 1)


Related Questions

21. Melanie is making homemade stickers, She uses
the recipe shown to create the glue for the stickers
reasonable estimate for the number of batches she
a. She has 545 milliliters of vinegar. Which is a more
can make,5 or 7? Explain your answer.

About how many times as many milliliters of vinegar are needed than
lemon extract?​
(brainliest included for correct answer if not report)

Answers

1: 5 2: 9 or 10

For question 1 we can round 115 to 100, 5x100 is 500 which is closer to 545 than 7x100 = 700.

Which division problem does the number line below best illustrate?

A number line going from 0 to 2 in increments of 0.2.

1. 2 divided by one-fifth = 10
2. 1 divided by one-fifth = 10
3. 2 divided by one-tenth = 5
4. 1 divided by one-tenth = 5

Answers

Answer. Number one i think.

Answer:

The answer is 1, 2 divided by one fifth.

Step-by-step explanation:

1/5 is 2/10 simplified and it's meeting at 2 therefore, the first option is correct.

Joshua paid a mechanic x dollars per hour for a 6-hour job plus $90 for parts. The total charge was $360.

Which equation can be used to determine how much the mechanic charged per hour?




6x = 360 + 90


6x = 360 − 90


(90 + 6)x = 360


(90 − 5)x = 360

Answers

Answer:

6x = 360 − 90

Step-by-step explanation:

The correct answer is B 6x=360-90

Sarah says that 26 ÷ 8 equals 14 ÷ 4 because both are “3 R2.” Show her mistake using decimal division. *

Answers

Answer:

24 divided by 8 is 6 and 14 divided by 4 is 3.5

Step-by-step explanation:

26/ 8 = 3.25 14/4 =3.5 ?

heeeeeeeeeeeeeeeeeeeelllllllllllllllllllllllllllllllllpppppppppppppppppppppppppppppppppp

Answers

Answer: output = -1n + 7 or  -n + 7

n can represent any number.

Step-by-step explanation:  using the slope-intercept form y = mx + b

y is the output. x is any input.  m is the slope.  b is the constant.

Calculate the slope:  rise ÷ run  

You see all the inputs in the chart are going up by 1. This is the run +1

You see all the outputs going down by 1.   This is the rise:  -1

So the slope, m,  is rise / run . -1/1 =  -1

To find the constant, use the slope with any pair of inputs and outputs from the chart in place of y and x in the slope-intercept equation.

y = mx + b  becomes   6 = -1(1) + b . Solve for b

6 = -1 + b

6 +1 = -1 +1 + b

7 = b

Now set up the equation that answers the question using the calculated values of m and b.

y = -1(x) + 7 . We can answer the question with this equation rewritten a bit:

Output = -1n + 7

or -n + 7  as 1 is usually implied.

-n+7 this is the answer sis

Answer for 12 points please?

Answers

Answer:

4,8

Step-by-step explanation:

4x is 4 on the x line, + 4 is 8 therefore Y = 8.

What does Point P on the number line represent? (Use the hyphen for negative numbers, such as −9)

Number line from negative 8 to positive 10 in increments of 1 is shown. Only the even numbers are labeled. A point labeled P is placed at the third tick mark to the left of 0.

Numerical Answers Expected!

Answer for Blank 1:
Sorry idk how to upload a pic. Please help me out

Answers

Answer:

p on the -3 line

Step-by-step explanation:

How many millimeters are in 3.2 centimeters?
.32
320
32 mm
3.2
22.
If there are 10 millimeters for every 1 centimeter, what fraction of a centimeter is a millimeter?
2.54
1/10
10
2.45

Answers

1. 32 mm
2. 1/10
This is just from what I know I have no clue if it’s right

Number 2: (look at pivture) 10 point

Answers

Answer:

A

Step-by-step explanation:

Because the arrow is going 2 in the right direction...so you have to have the 2 in the equation...

and the reason it equals 5 instead of a (-) number is because of the KCC rule

so basically the equation is 2+3

or if you don't want the long way just look at all of the equations...only one of the have a 2 in it so it is automatically the correct answer

Answer:

I think it should be A.

Step-by-step explanation:

The first arrow represents 2, and the second arrow represents subtracting -3 from it, represented as -(-3). This means that the first part of the equation is 2 - (-3). Now you have to solve it. When subtraction is modeled like this with a negative number, it actually means addition. This means that the answer should be as simple as 2+3 because there were two negative signs. 2+3=5, so A should be the answer.

The number of tickets sold at the Amazing Art Museum on Saturday was 175% of the ticket sales on Friday. If 2,000 tickets were sold on Friday, how many tickets were sold on Saturday?

Which statements are correct? Check all that apply.

The answer will be less than 2,000 because 100 is less than 175.
The answer will be greater than 2,000 because 175 is greater than 100.
The answer will be equal to the sum of 2,000 and 175.
The answer will be equal to the product of 175 and 20.
The answer will be equal to the quotient of 2,000 and 175.

Answers

The ticket sold on Saturday is 3500 tickets, and the correct options are,
(B) The answer will be greater than 2,000 because 175 is greater than 100.

(D) The answer will be equal to the product of 175 and 200.

Given that,
The number of tickets sold at the Amazing Art Museum on Saturday was 175% of the ticket sales on Friday. If 2,000 tickets were sold on Friday,

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
Number of tickets sold on Saturday,
= 1.75 × 2000
= 3500

Thus, the ticket sold on Saturday is 3500 tickets, and the correct options are,
(B) The answer will be greater than 2,000 because 175 is greater than 100.

(D) The answer will be equal to the product of 175 and 200.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ6

1. How are pounds per gallon and kilograms per liter alike? How are they different?
2. How would you convert 10 miles per hour to meters per second?
3. 12 inches =_____foot; the ratio of inches to feet is_____
4. 1 foot =_____ inches; the ratio of feet to inches is_____
5. 3 feet =_____yard; the ratio of feet to yards is_____
6. 1 yard =_____feet; the ratio of yards to feet is_____

Answers

Answer:

1)= 1 kilogram per liter (kg/l) + 8.35 pound per gallon (lb/gal)

2)= 4.4704 meters per seconds

3)= 12in= 1ft ratio is 12:1

4)= 1ft=12in ratio is 1:12

5)= 3ft= 1 yard ratio is 3:1

6)=1 yard = 3ft ratio 1:3

Step-by-step explanation:

12 in = 1 foot

1 yard = 3 feet

1 yard = 36 in

I hope this helps

i need help plz and thank you

Answers

Answer:

what kind of help.......???

Answer:

What do you need help with?

Step-by-step explanation:

I like ice cream :D

A 24 ounce bag of dog food sells for $7.68. What is the unit rate of the dog food?

Answers

.32 cent per once of dog food

Answer:

$0.32

Step-by-step explanation:

You are going to divide 24 into $7.68 Once you get your problem set up think will 24 go into 7 no (so add a zero above the 7) but,   it will not so take 24 into 76. How many times will 24 go into 76 well what is 24 x 3?? It is 72. So do that. Carry your 3 and put it above the 6. Than put your 72 under your 76 and subtract. that will get you 4 well 4 can't go into 24 so carry down your 8 and that will give you 48.Then think what will 24 go into to?? Well, 24 x 2 is 48 so thats it. Put your 2 above your 8. Subtract 48-48 and get 0. When you finish that you should have $0.32.

I hope this helped. It took me 30 minutes to type that. If that all confused you I added a sreenshot.

I hope this helped y'all. Thank me,rate it, give me the Brainiest if it helped, and chat GOOD,IT HELPED ME,IT IS AWESOME if it helped you. Hope this helped. Bye. Don't forget if that all confused you look at the image.

Edited: i just wanted to thank Sophia ( I am sorry I that is wrong) for being so nice to me. Here is her sweet comment to me

This is her Comment: Omg. I have never met anyone on Brainly this kind to type something this long and make sure I understood what u were doing thank you so much I’m definitely marking you as the Brainiest

Samantha and Corey are on a road trip. The first day, they drive 318 miles in 6 hours. What is their speed in miles per hour?

Answers

Answer: 58 miles per hour

Step-by-step explanation:

If you divide 318 by 6 then you get how many miles were driven in that hour. so there speed was 58 miles per hour

Yesterday 170 guests at a hotel called for room service, and 255 guests did not call for room service. What percentage of the guests at this hotel called for room service yesterday?
Most explained answer gets brainliest
60%
15%
40%
85%

Answers

Answer:

The answer is 40%

Step-by-step explanation:

170 + 255 = 425

170 / 425 = 0.4

0.4=40%

So the percent of guests that called for room service is 40%

Hope this answers your question :)

Tyler spend $30 at a restaurant. He left $5 on the table as a tip. What percent of the
bill did Tyler leave as a tip?

A. 5%
B. 16.6%
C. 20%
D. 25%

Answers

It is 16.6% hope it helps.
16.6% answerrr lololl

Which situation could be represented by the equation 38.25 = 3x?

A. A group of 3 friends had $38.25 all together. Each friend had the same amount of money. What is x, the amount of money each friend had?

B. A group of friends had $38.25. They decided to triple their money by working for a neighbor. What is x, the total amount of money the friends had all together after working for a neighbor?

C. A group of friends had $38.25. They earned $3 more. What is x, the amount of money the friends have all together?

D. A group of 3 friends each had $38.25. What is x, the total amount of money the friends had all together?

Answers

Answer:

D

Step-by-step explanation:

A, because it would be written as 38.25=3(how ever much money the friends have(x)

Jason has 4 tiles. Each tile has a number printed on it. The numbers are 2, 3, 6, and 8. A decimal number is formed using the tiles and the clues. Find the number. Clues: 1. The digit in the tens place is the greatest number. 2. The digit in the tenths place is less than the digit in the hundredths place. 3. The digit in the ones place is greater than the digit in the hundredths place.

Answers

Answer:

86.23 should be your answer

Answer:

86.23 Hope I helped

Step-by-step explanation:

UwU

Have a great day

I need help ASAP
plz plz plz plz plz plz plz plz

Answers

Answer:

Number 1 is 1900...I think

Step-by-step explanation:

The stock of Company A gained 5.25% today to $21.05. What was the opening price of the stock in the beginning of the day?

Answers

Answer:

$20

Step-by-step explanation:

Easy formula for these problems is new price divided by change in percent as decimal with 1 at begining. So for this problem it is 21.05/1.0525. You can then test your answer by muliply you answer by 1.0525.

i think the answer is 20$

Solve the riddle.

Two-thirds of a number increased by five is the same as negative two-sixths of a number increased by fourteen.

Two-thirds x + 5 = negative StartFraction 2 Over 6 EndFraction x + 14

Answers

Answer:

✔ 9

Step-by-step explanation:

Assignment Egde 2021

Virtual School bouta end yall. Just gotta survive the end of the school year

Brainly?

Answer:

9

Step-by-step explanation:

pleaseee i need helpp xx

Answers

Answer:(18,12)

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

on the x axis the coordinates are (x value , y value)

try to remember that x values are the same vertically and y values are teh same horizontally

write one-hundred thousand (100,000) in scientific notation

Answers

Answer: 100,000 (one hundred thousand) is the natural number following 99,999 and preceding 100,001. In scientific notation, it is written as 105.

Ordinal: 100000th; (one hundred thousandth)

Factorization: 25 × 55

Unicode symbol(s): ↈ

Step-by-step explanation: My name is Armalinda Friend me

The selling price of an item is ​$.520 It is marked down by ​20%, but this sale price is still marked up from the cost of 320​$. Find the markup from cost to sale price.

Answers

Answer:

340

Step-by-step explanation:

it says that su have to multipy so then yeah

E = mc2
c = ?

A. E/m
B. m/E
C. √(E/m)
D. √(m/E)

Answers

Answer:

the answer you are looking for is letter C

I’m pretty sure the answer is C

I need the Answer ASAP. Sally wants to make a costume that has 2 different color fabrics. The yellow fabric is 3 yards long and is used on 65% of the final dress. How long is the pink fabric?

Answers

Answer:

1.62 yards

Step-by-step explanation:

[tex]\frac{65}{3} =21.666666[/tex]

[tex]\frac{100}{21.6} = roughly 4.62[/tex]

This means that there are 4.62 yards in the final product.

The pink fabric is [tex]4.62-3=1.62[/tex] yards.

1.62 yards from kokomokokokokookkoko

What is the GCF of 32a^3 b and 16ab^2?

Answers

Answer:

The GCF is  4 a

Step-by-step explanation:

They are right the GCF is 4!

The coordinates of a point on a coordinate grid are (−1, 5). The point is reflected across the x-axis to obtain a new point. The coordinates of the reflected point are (1, −5) (−1, 5) (1, 5) (−1, −5)

Answers

Answer:

I think it should be (-1,-5)

Step-by-step explanation:

On a coordinate grid, when you flip this coordinate across the x-axis, the x-axis number won't change, meaning that -1 will stay. The intial number was in the second quadrant, this means that the new number will be in the third quadrant which is made up of all negative numbers. This means that 5 will now be graphed as negative 5, making (-1,-5) the correct answer in this situation.

I don’t really know

⦁ Fill in the missing amounts for a – d:

Answers

Answer:

I can't see it that well

Step-by-step explanation:

HELPPPP PLS LOOK AT THE PICTURE

Answers

3. No Hannah did not get the same answers for math and science. Because if you simplify 8/10 for math it’s 4/5. While for science you can’t simplify any father it’s simplified enough.
4. Same scores for social studies and math because again 8/10 divided by 2 for top and bottom is 4/5
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