Solve the equation using the Quadratic Formula:

x2 + 6x + 3 = 0

Answers

Answer 1

Answer:

x = -2[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

First we have to distinguish the numbers with x from the "normal" numbers.

2x and 6x are numbers with x.

3 and 0 are "normal" numbers.

Now we have to seperate them on different sides of the equal sign.

To do this, we can subtract 3 from the left side and then add it to 0 on the left side.

Therefore, the equation will now be 2x + 6x = -3.

Now we can add 2x and 6x together, making it 8x.

The equation will now be 8x = -3.

To find the product of x, we need to divide both sides together.

So 8 divided by -3 will make -2[tex]\frac{2}{3}[/tex].

Therefore, x is  -2[tex]\frac{2}{3}[/tex].

Hope my explination makes sense :)


Related Questions

Angle YXZ is 57 degrees.
Angle VXW is 57 degrees.
Angle WXZ is 123 degrees.
Angle XVW is 56 degrees.
Angle XWZ is ? degrees.
Angle XZW is ? degrees.

Answers

Answer:

Angle XVW is 56 degrees.

Angle XWZ is 28.5 degrees.

Angle XZW is 28.5 degrees.

Step-by-step explanation:

bcuz yes :)

A bakery is 10 yards wide and 17 yards long. The baker wants to put a wooden shelf around the inside of the bakery. The wooden shelving costs $10.82 per yard. How much will the baker's shelf cost?

Answers

Answer:

$584.28

Step-by-step explanation:

first, add up the yards around the perimeter of the bakery. 10 + 10 + 17 + 17 = 54. Then, multiply 54 by 10.82 to get the cost of the shelf.

54 x 10.82 = 584.28

The temperature on Monday was - 23 F . The temperature on Tuesday was 18 degrees higher. What was the temperature on Tuesday?

Answers

Answer: the Temperature on Tuesday is 13 degrees Celsius

Explain how to angles can be supplementary angles?

Answers

Answer:

if the sum of all the angles equal 180

Step-by-step explanation:

the sum equals 180 ...

Find three consecutive odd integers such that the sum of the largest and twice the smallest is 25. If x represents the smallest integer, then which equation could be used to solve the problem?

Answers

The three consecutive odd integers : 7, 9, 11

Further explanation

Algebraic expressions in mathematics are a combination of coefficients, numbers, variables, constants and arithmetic operations such as addition, subtraction, multiplication, and division.

The main composition of algebraic expressions are:

• 1. phrases

algebraic forms separated by arithmetic operations

consists of one phrase (monomial) to many phrases (polynomial)

• 2. variable

is a value that can be changed, can be in the form of letters, for example, x, y, a, b, etc.

• 3. constants

is a fixed value, can be a number

• 4. arithmetic operations

+ , - , : , x

integer number: numbers consist of positive, negative and 0 numbers

Odd number: Any integer that cannot be divided by 2.

The last digit is 1, 3, 5, 7 or 9

Because it is divided by 2, the difference between the two numbers is also 2 for consecutive numbers

Then consecutive odd numbers can be symbolized:

x, x + 2, x + 4, x + 6, x + 8, etc.

For example, 3 consecutive odd numbers are:

x + 4, x + 6, x + 8

the sum of the largest and twice the smallest is 25, can be expressed in terms of arithmetic operations:

(x + 8) + 2 (x + 4) = 25

So the solution:

x + 8 + 2x + 8 = 25

3x + 16 = 25

3x = 9

x = 3

So the smallest number is:

= x + 4

= 3 + 4

= 7

or

Find three consecutive odd integers such that the sum of the largest and twice the smallest is 25. If x represents the smallest integer, then which equation could be used to solve the problem? 2x + x + 2 = 25 2x + x + 4 = 25 2x + 2x + 4 = 25.

Answer:

The three integers are 7, 9, 11.

The equation is: 2x + x + 4 = 25

Step-by-step explanation:

The problem asks to use x to represent the smallest of the three integers.

Odd integers are 2 units apart, such as 1, 3, 5, 7. The difference between consecutive odd integers is 2.

Since the smallest odd integer is x, then the next larger one is x + 2. The largest odd integer is x + 2 + 2, or x + 4.

The three odd integers are

x, x + 2, x + 4

The problem then states "the sum of the largest and twice the smallest is 25."

The largest one is x + 4.

Twice the smallest is 2x.

Their sum is 2x + x + 4.

That sum equals 25.

2x + x + 4 = 25

3x + 4 = 25

3x = 21

x = 7

The smallest integer is 7.

Then x + 2 = 7 + 2 = 9,

and x + 4 = 7 + 4 = 11.

Answer: The three integers are 7, 9, 11.

The equation is: 2x + x + 4 = 25

Rewrite using a negative exponent.
5/x ^2

Answers

The answer is:
5x^-2
Explain:
5/x^2
5(1/x^2)
5(x^-2)
5x^-2

A car rental company charges x dollars to rent a truck, plus y dollars per kilometre. Find x and y if the rental charge is $90 for 100 km, and $110 for 150 km.

Answers

Answer:

X=50 dollars Y=0.4 dollars

Step-by-step explanation:

Starting with the two equations:

$90= X(truck cost)+ Y(cost per km)*100km

and

110=X+Y*150

we solve the first equation for X: X = 90-100Y

and plug X into the second equation: 110=90-100Y+150Y

add like terms: 20=50Y

so Y = 2/5 or .4

Plug Y into the first equation: 90= X+100(.4)

Evaluate: 90= 40+X  so   X= 50

Answer:

X = 50 dollars

and Y= o.4 cents

Step-by-step explanation:

Please help. 10 points and brainliest.

Answers

Answer:

D

Step-by-step explanation:

sqrt(20*x^6*y^5)

sqrt(5*2*2*x^3*x^3*y^2*y^2*y^1)

2x^3*y^2*sqrt(5y)

this is D

SHOULD BE EASY!!! which one is it??? please i need help ASAP.

Answers

Answer:

Commutative property

Step-by-step explanation:

#4

If a vendor sells an item he bought for Rs. 500 such that he earns a profit of 20%, determine the selling price of the item.

Answers

First find the 20% of 500, then add your answer to the normal price to get the selling price.

Hope this helps ya

Three kids play tennis at the same tennis courts. Mark plays every fourth day, David plays every seventh day and Bryan plays every sixth day. All of them were at the tennis court on Wednesday, July 18th. What will be the next day, when all three of them will be at the court together?

Answers

Answer:

Wednesday (9 weeks later) = 10th October.

Step-by-step explanation:

We label the days with the initials of the names.

M= 4

D = 7

B = 6

LCM of 6 +7 = 42

LCM of 6+7 + 4 = 84

We find 84 is the amount of days we need to add on to july 18th

We first find the weeks 84/7 = 9 weeks.

As Wednesday July 18th is exclusive it would be 84 days after this event.

18+ 84 = 102 days.

31 days in july = 31

31 days in Aug = 31

30 days in Sept = 30

= 92

102-92 = 10

We now know date is Wednesday 10th October

We can check 84 days = 9 weeks

13 days in July makes 31st july

31 days in Aug makes 31st Aug

30 days in Sept makes 30th Sept

= 74 days + 10 days = 84

10th October is the checked date and we know it is also a Wednesday as Wednesday had stayed exclusive and prove that there are 7 days in the week to account x 9, to account for an exact 9 weeks later duration.

Answer:

Wednesday, October 10

Step-by-step explanation:

David play every 7 days, so since the first day is a Wednesday, David plays every Wednesday. We need to find the smallest common multiple of 4 and 6 that is also a multiple of 7. Since 4 * 3 = 12 and 6 * 2 = 12, we see that all multiples of 12 are also multiples of 4. We list the multiples of 12:

12, 24, 36, 48, 60, 72, 84, 96, ...

The smallest multiple of 12 that is a multiple of 7 is 84.

The first day all of them play together after July 18th is 84 days later.

84/7 = 12

We look in a calendar, and we see that exactly 12 weeks after July 18 is Wednesday, October 10.

Answer: Wednesday, October 10.

350 people visited a zoo the zoo has four types of tickets the manager wants a sample of size 30, stratified by ticket type. how man teenagers should be in the sample *see attached*

Answers

Answer: 10

Step-by-step explanation:

Given the following :

Total number of visitors = 350

Sample size = 30

Number selected from each strata is given by:

(Strata size ÷ Total population) × sample size

From the cumulative frequency distribution :

Child - 90

Teen - (210 - 90) = 120

Adult - (350 - 210) = 140

Senior = 0

Strata size of teen = 120

Therefore, number of teen selected is ;

(120 ÷ 350) × 30

0.3428571 * 30 = 10.26 (10 visitors)

Misty, Tina and Jen walk into a store. The manager places his hand on Tina’s shoulder and tells her, “You didn’t win the door prize.” Then he looks at Jen and Misty and says, “But one of you did.” What is the probability that Jen has won?

A. 50%

B. 25%

C. 75%

D. 100%

Answers

Answer:

50%

Step-by-step explanation:

3 of them walk into a store, giving her a 33.333% chance of winning. By eliminating one, Tina may as well have never walked into the store, leaving Jen with a 50% chance.

Answer:

A.50%

Step-by-step explanation:

the diagram shows the diiferance between my home h and two towns

Answers

Answer:

a. 20 mins

b. 30 mins

c. 4mph

Answer:

a)30

b)40

c)36

Step-by-step explanation:

y= 3x+7
y = -2x - 3
Whats the x and y for the solution

Answers

Answer:

x=-2, y=1

Step-by-step explanation:

y=3x+7

y=-2x+3

Set the two equations equal to each other:

3x+7=-2x-3

Add 2x to both sides:

5x+7=-3

Subtract 7 from both sides:

5x=-10

Divide both sides by 5:

x=-2

Plug back into one of the original equations to find y:

y=3(-2)+7=-15+7=1

Hope this helps!

Find the area of the shaded triangle.

Answers

First, you have to do 3x8, and what is 3x8, it equals 24

And then you have to divide 24 by 2, that way it would be easier for you to find the answer, so what is 24 divided by two,
It equals 12, so the answer is 12.

Please thank me and mark me as brainliest answer

The area of the shaded triangle would be 12 ft.

What is a triangle?

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

The area of the triangle is the product of half the base and the height of the triangle.

The area of the triangle = 1/2 x b x h

Area of a triangle is 1/2 x base x height.

The base of the shaded triangle is 3 ft. the height is 8 ft.

Area = 1/2 x 3 x 8

Area = 12 square feet.

so the answer is 12.

Learn more about the area;

https://brainly.com/question/1658516

#SPJ2

Which of the following is equal to the rational expression when x ≠ -6 ?

Answers

Answer:

X-6

Step-by-step explanation:

Just did this one

2. Daniel paid $22 for a water bottle. This amount includes 5% tax. What was the cost of the item before tax?

Answers

Answer:

$20.9

Step-by-step explanation:

100%=22

95%=x

95x22=2090/100=20.9

Answer:

$20.95 (rounded)

Step-by-step explanation:

To solve this, you need to first make an equation where x is the original cost before tax. So it would be 22=1.05x. You know it is 1.05 because 1 is the "whole" original cost and 0.05 is the 5% tax in decimal form. To solve the equation, you divide both sides by 1.05 to get x=20.95

simplify x2-9/x2+x-12

Answers

(x + 3) (x² - 2x - 6)

______________

             x

Answer: (x^4 + x^3 - 12x^2 - 9 ) / x^2

Step-by-step explanation:

x^2 - 9/x^2 +x - 12

(x^2 - 9 + x^3 - 12x^2)/x^2

Please simplify (y^-5)^4

Answers

Answer:1/y^20

Step-by-step explanation:

"Two complementary angles are not congruent."

Answers

Answer:

40 and 50,20 and 70

Step-by-step explanation:

complementary angles are angles that  added equal to an angle of 90 degrees and it says they are not congruent so the two angles are diferent

the given statement "Two complementary angles are not congruent" is not true. The counter-example is 45°+45°=90°.

The given statement is "Two complementary angles are not congruent."

What are complementary angles?

Two angles are Complementary when they add up to 90°.

Now, if we add 45°+45°=90°

Therefore, the given statement "Two complementary angles are not congruent" is not true. The counter-example is 45°+45°=90°.

To learn more about complementary angles visit:

brainly.com/question/5708372.

#SPJ2

Which of the following points lies on the line y=x?
(-4,4)
(2,-2)
(-4,-4)
(-2,2)

Answers

Answer: -4, -4

Step-by-step explanation:

y=x means x and y are the same number in the coordinate, no matter if it’s positive or negative.

12. (-/10 Points)
DETAILS
HARMATHAP12 1.1.053.
Using data from 2010 and projected to 2020, the population of the
10.0y - 4.55x = 581
where x is the number of years after 2000.1
(a) What is the projected population in 2028?
y =
(b) In what year is the population predicted to be 71.75 million?

Answers

Vie kib 356
Ghu
Jogg
780:3 okn 2455!

The box plots show the weights, in pounds, of the dogs in two different animal shelters.
Weights of Dogs in Shelter A
Weights of Dogs in Shelter B

Which is true of the data in the box plots? Select three choices.
The median weight for shelter A is greater than that for shelter B.
The median weight for shelter B is greater than that for shelter A.
The data for shelter A are a symmetric data set.
The data for shelter B are a symmetric data set.
The interquartile range of shelter A is greater than the interquartile range of shelter B.

Answers

Answer:

The median weight for shelter A is greater than that for shelter B.

The data for shelter B are a symmetric data set.

The interquartile range of shelter A is greater than the interquartile range of shelter B.

help please i did a problem like this and got it wrong i honestly think im confusing the closed and open dots. can some one just please help​

Answers

Answer:

It should be a "closed" dot facing the left side (towards the negative numbers)

Step-by-step explanation:

The graph will be a line segment with endpoints -1 and 1. Both endpoints are closed dots. This is to indicate we include the endpoints as part of the solution set. Everything between the endpoints is shaded in.  

The answer in interval notation is [-1, 1]. The square brackets tell the reader to include the endpoints. This describes the interval from -1 to 1, inclusive of the endpoints.

How do we know to include the endpoints or not? By looking at the "or equal to" portion. If that is present, then we include the endpoint; otherwise, we exclude.

The original inequality [tex]|x| \le 1[/tex] is the same as [tex]-1 \le x \le 1[/tex]

The general rule is [tex]|x| \le k[/tex] turns into [tex]-k \le x \le k[/tex] for some positive number k.

In the diagram below BD is parallel to AE, BE bisects angle ABD, angle E is 37 degrees, angle BFE = 117, what is angle C

Answers

Angle C is 26 degrees

65°
6
B
с
?
BC
Round your answer to the nearest hundredth.

Answers

The answer to your question is 65 degrees

Answer:

5.44 = BC

Step-by-step explanation:

sin theta = opp /hypotenuse

sin 65 = BC / 6

6 sin 65 = BC

5.437846722 = BC

To the nearest hundredth

5.44 = BC

I’m stuck between two answers and wanted to know what you guys think is right?

Answers

Answer:

y = x + 3

Step-by-step explanation:

Slope-intercept form is y = mx + b

When we count rise over run, we get 1/1, or just 1. Also, the line is rising from left to right, so it is a positive slope.

y = x + b (you don't have to put 1x)

The line intersects the y-axis at 3

y = x + 3

I hope this helps :))

Answer:

y= -x+3

Step-by-step explanation:

looking at the graph, you can see that the equation is a negative, so the slope will be negative. On the Y-axis, the line goes through "3" making the y-intercept. The equation would be y=-3x+3, but you answer only give you y= -x+3

Are the following two figures similar or congruent?

A. Congruent
B. Similar

Please help me with this

Answers

Answer:

B. Similar

Step-by-step explanation:

Congruent triangles have to be the same size. Similar triangles need to have the same angles but are not the same size.

Answer:

B. Similar

Step-by-step explanation:

What object is defined using a directrix and a focus

A. Perpendicular Bisector

B. Parabola

C. Circle

D. Angle Bisector

Answers

Answer: B

Step-by-step explanation:

A parabola is defined using both a directrix and a focus.

To justify this, let me take a quote from Varsity Tutors (all credit of this quote goes to them) : “A parabola is set of all points in a plane which are an equal distance away from a given point and given line. The point is called the focus of the parabola and the line is called the directrix.”

Hope this helps! :)

The answer is b!
Because
It’s easy mate c’mon
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