Solve the inequality and express your answer in interval notation. x² + 8x + 3 < 0

Answers

Answer 1

Answer:

Convert the inequality to an equation.

x2+8x+3=0" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 15.47px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">x2+8x+3=0x2+8x+3=0

Use the quadratic formula to find the solutions.

-b&#xB1;b2-4(ac)2a" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 15.47px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">−b±√b2−4(ac)2a-b±b2-4(ac)2a

Substitute the values a=1" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 17.03px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">a=1a=1, b=8" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 17.03px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">b=8b=8, and c=3" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 17.03px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">c=3c=3 into the quadratic formula and solve for x" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 17.03px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">xx.

-8&#xB1;82-4&#x22C5;(1&#x22C5;3)2&#x22C5;1" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 15.47px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">−8±√82−4⋅(1⋅3)2⋅1


Related Questions

Determine the number of solutions of this equation
x-2(x-6)= -x+12

One solution
Infinitely many solutions
No solution

Answers

Answer:

Infinitely many solutions.

Step-by-step explanation:

x-2(x-6)= -x+12

x - 2x + 12 = -x + 12

x - 2x + x = 12 - 12

0 = 0.

This means there are infinitely many solution.

Find all solutions to the equation $x^2 - 8x = -16$.

Answers

Answer:

x = 4

Step-by-step explanation:

x^2 - 8x = -16

Add 16 to both sides.

x^2  8x + 16 = 0

This may be the square of a binomial.

x^2 is the square of x

16 is the square of 4 and -4.

Let's check the middle term:

2ab = 2(x)(-4) = -8x

Yes, it is the square of a binomial.

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x - 4 = 0 or x - 4 = 0

x = 4 or x = 4

Answer: x = 4

PLZ HELPP!! ITS ALMOST DUE!!! ILL MARK BRAINLIEST!!

Answers

Answer:

-3x + 40

Step-by-step explanation:

The constant given is 40 gallons and the rate at which the water in the bathtub decreases is 3 gallons per minute.

To write this as an equation we model 40 as the starting constant that is positive and, because the water is decreasing, we use a negative slope.

-3x represents the decrease in water over x intervals (Which in this case is minutes) and 40 gallons represent the initial value (water in the bathtub).

Therefore the water in the bathtub can be modeled with the equation

-3x + 40

The front wall of the storage shed is in the shape of a trapezoid.
The bottom measures 12 feet, the top measures 10 feet, and the height
is 6 feet, find the area of the front wall of the shed.
10ft
bft
12ft
Square Feet

Answers

Answer:

66 square feet

Step-by-step explanation:

please review the attachment for a detailed explanation

WILL GIVE BRAINLYST. Find the median, quartiles, and interquartile range of the data:

3, 2, 2, 4, 4, 3, 6, 3, 5, 3, 4, 1

Answers

Step-by-step explanation:

median:3

25th Percentile: 2.5

50th Percentile: 3

75th Percentile: 4

Interquartile Range: 1.5

sean places 14 tomato plants in rows .all rows contain the same number of plants. there are between 3 and 12 in each row. how many plants are in each row.

Answers

Answer:

7

Step-by-step explanation:

mandy finished editing 38% of a book in 5 days. if the book is 300 hundred pages long how many pages did mandy edit so far

Answers

Answer:

380 pages

Step-by-step explanation:

because if 30% equals 300 means 38% equals 380

300 x 38%
300 x 0.38 = 114 pages

Solve for x and y. Round to the nearest tenth.

Answers

Answer:

for X its 90 degrees

Step-by-step explanation:

If its a right angle it is 90 degrees

Answer:

x=16

y=27.7

Step-by-step explanation:

In a 30-60 right triangle the side opposite the 30 degree angle is half the length of the hypotenuse.

x is the side opposite the 30 degree

so x=32/2=16

let's use pythagorean theorem to find y

x^2+y^2=32^2

y^2=32^2-x^2

y^2=1024-16^2

y^2=1024-256

y^2=768

y=√768

y=27.7

I can round to the nearest hundred 37,420 rounds to

Answers

the nearest hundred would be 37, 400

the nearest hundred would be 37, 400 is going to be your right answer.

I’ll give BRAINLIEST if right

Answers

Answer:

y = -2x - 3

Step-by-step explanation:

please help me with 7-10​

Answers

Answer:

I can't see that

Step-by-step explanation:

A motor Scooter travels 10 miles in the same time that a bicycle covers 4 miles if the rate of the scooter is 2 mph more than twice the rate of the bicycle find both rates

Answers

Answer:

Step-by-step explanation:

In 2016, the price of a stock decreased by $11. In 2017, the price
decreased by $13. Write a sum of two integers equation that
represents the overall change in price of the stock for the two years.
Be sure to explain what it tells you about the price of the stock.

Answers

Answer: -11 + (-13)

Step-by-step explanation: This shows that the stock has decreased by 24.

Answer:

no rest for meeeee U_U

Step-by-step explanation:

The point on the number line is located at which of the following mixed numbers?

Answers

Answer:

6 3/4

Step-by-step explanation:

its on the 3 tic out of 4 .

What is the measure of angle A? HELP QUICK I WILL GIVE BRAINLIEST ANSWER!

Answers

Answer:

118

Step-by-step explanation:

you can look at the 62° it is straight line to (2y).

And the left angle of 62°, let it be 'x' . Can be measured by [ x + 62° = 180°]

[x = 180° - 62° ]

( x = 118° )

Then, A is the alternate angle of x . so, the value of A is 118.. The reason is being alternate angle.

THE SHINKANSEN PASSENGER TRAIN OF JAPAN TRAVELS AT A RATE
OF 300 KILOMETERS PER HOUR. HOW MANY METERS PER HOUR IS
THIS SPEED?

Answers

Answer:

srry need points

Step-by-step explanation:

r u sure thats college work

Complete the square and put this function in vertex form: f(x)=x^2+20x+96

Answers

Answer:

f(x) = (x+10)^2 - 4

Step-by-step explanation:

vertex form is y = a(x-h)^2+k

to complete the square, we want to add a number on both sides so x^2+20x+whatver the number is, is the square of something

to find that number take 20, divide by 2, and then square it to get 100.

so, you would get f(x)+100 = x^2+20x+100+96

subtract 96 on both sides: x^2+20x+100 = f(x) + 4

factor: f(x) = (x+10)^2 - 4


1200 dollars is placed in an account with an annual interest rate of 7.75%. To the nearest year, how long will it take for the account value to reach 8200 dollars?

Answers

Answer:

26 years.

Step-by-step explanation:

I DESPERATELY NEED HELP

Answers

Cost of 40 pounds of apples at David's apple is $50.

Cost of 40 pounds of apples at Pam's orchards is $37.5.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Anna want to pick 40 pounds of apples,

Now, At David's apple orchard cost of first 10 pounds = $2 per pound

And, Each additional pounds $1 per pound.

So, Cost of 40 pounds of apples at David's apple is calculated as;

Cost of first 10 pounds = 10 * 2 = $20

And, Cost of 30 pounds of additional apples = 30 * 1 = $30

Hence, Cost of 40 pounds of apples at David's apple = $20 + $30

                                                                                  = $50

At Pam's orchards first cost of first 10 pounds = $1.50

And, Each additional pounds $0.75 per pound.

So, Cost of 40 pounds of apples at Pam's orchards is calculated as;

Cost of first 10 pounds = 10 * 1.50 = $15

And, Cost of 30 pounds of additional apples = 30 * 0.75 = $22.5

Hence,  Cost of 40 pounds of apples at Pam's orchards = $15 + $22.5

                                                                                      = $37.5

Therefore,

Cost of 40 pounds of apples at David's apple is $50.

Cost of 40 pounds of apples at Pam's orchards is $37.5.

                                                                                 

Learn more about the multiplication visit:

https://brainly.com/question/1092441

#SPJ1


Use the table below to answer the following question. What does the number "12" in the lower right cell mean?

Answers

Answer:

52

Step-by-step explanation:

malai na ayerw sir lai sodeko sir la divas lai sodnw vannu vathyo sodeko sikayenan

What’s the answer for X

8+x=3.5x-1

Answers

Answer:

x = 3.6

Step-by-step explanation:

8 + x = 3.5x - 1

x - 3.5x = -1 - 8

-2.5x = -9

x = 3.6

Answer:

x = 3.6

Step-by-step explanation:

8 + x = 3.5x - 1

subtract 8 from both sides

x = 3.5x - 9

subtract 3.5x from both sides

-2.5x = -9

divide by -2.5 from both sides

x = 3.6

(05.02)
Solve the following system of equations:
-2x + y = 1
-4x + y = -1

Answers

Answer: (1,3)

Explanation:

how do I do this I'm confused ​

Answers

Answer:

The interior angles of any triangle equal 180. Triangle CDF is an equilateral triangle meaning all of its angles are the same. 180/3=60

Each angle of triangle CDF is 60

1.m<CDF=60

____________________________________________________________

Isosceles triangles have the 2 base angles the same value while the other angle is another value. IN that instance, the m<a = m<f and the m<a + m<f +  m<b=180°

If we find one of the angles of ABF then we can find all of them.

the m<AFB + 35° + m<CFD + m<DFE=180°

we know that the m<CFD is 60

35+60+m<AFB + m<DFE=180

95+m<AFB + m<DFE=180

LEts look at the angle AFD

AFD is 150° and since m<AFD and the m<DFE are supplementary, the angle of DFE is 30

lets test it:

if m<DFE is 30 then

95+m<AFB + 30=180

125+m<AFB=180

m<AFB=55

therefore the m<BAF would also be 55 and the m<ABF would be 70

m<ABF=70

This is because the interior angles of any triangle add up to 180°

I hope this helps and please let me know if i was incorrect

Step-by-step explanation:

ASAP PLZ I'LL MARK BRAINLIEST

What is 8/9 ÷ 2/3?​

Answers

Answer:

4/3

Step-by-step explanation:

Your Welcome

xz Is the prependicualr disector of segment WY. WY=66. Solve for k. Enter a number only.

Answers

Answer:

k = 4

Step-by-step explanation:

A perpendicular bisector is defined as a line or a line segment that divides a given line segment into two parts of equal measurement.

So WX = XY or WX = 1/2 WY

using WX = 7k + 5 and WY = 66

7k + 5 = 66/2

7k = 33 - 5

7k = 28

k = 4

(HELP PLEASE)Patrick Mahomes completed 15 of his 25 passes for the Kansas City Chiefs. What
percent of this throws were completions?

Answers

Answer:

60%

Step-by-step explanation:

15/25 = x/100

0.60 = x/100

0.60 * 100 = x

60 = x

25 * 60% = 15

HELP!!! WILL GIVE BRAINLIEST.... TO CORRECT ANSWER! (WILL REPORT IF ITS NOT EVEN RELATED TO QUESTION)
A diver jumps from a cliff that is 48.5 feet above the surface of the water. She stops descending 12.5 feet under the water. What was the total distance of her jump?

Answers

Answer:

61 ft

Step-by-step explanation:

I'm assuming that the diver simply walked off the cliff since we were not given any information about the jump itself.

If the distance between the cliff and the surface of the water is 48.5 feet, and if the distance between the surface of the water and the place where the diver stopped descending is 12.5 feet, you would add those two distances up.

48.5 ft + 12.5 ft = 61 ft

The total distance of her jump from her was 61 feet.

Given that a diver jumps from a cliff that is 48.5 feet above the surface of the water, and she stops descending 12.5 feet under the water, to determine what was the total distance of her jump, the following calculation must be performed:

The height of the cliff and the depth at which it reached under the water must be added.

48.5 + 12.5 = X 61 = X

Therefore, the total distance of her jump from her was 61 feet.

Learn more about maths in https://brainly.com/question/25801898

Find the equation of the line with slope m = 5/3 that contains the point (-6, -12)

Answers

Answer:

3y-(-12) = 5(x-(-6)

3y+12= 5(x+6)

3y +12 = 5x + 30

3y = 5x +30 - 12

3y = 5x + 18

y = 5x + 6

Divide 11 by −4. Write the answer as a mixed number with the correct sign.(1 point)

Answers

Answer:

-2 3/4

Step-by-step explanation:

the sign is negative

Mary started a business selling boutique clothing. She spent $1200 for her initial amount of clothing for the shop, and it costs her $250 per month for general expenses. She earns $650 per month in sales. What is the minimum number of months it will take for Mary to make a profit?

a
5 months
b
6 months
c
7 months
d
4 months
e
9 months

Answers

Answer:

d

Step-by-step explanation:

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