Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.

Solve Using The Quadratic Formula. Show All Work. Write Each Solution In Simplest Form. No Decimals.

Answers

Answer 1

Answer:

x = -2+√3i and -2-√3i

Step-by-step explanation:

The formula for the general formula is expressed as;

x = -b±√b²-4ac/2a

Given the expression

x²+4x+7 = 0

a = 1, b = 4 and c = 7

Substitute

x = -4±√4²-4(1)(7)/2(1)

x  = -4±√16-28/2

x = -4±√-12/2

x = -4±√4*-3/2

x = -4±2√-3/2

x = -4±2√3i/2

x = -4+2√3i/2 and  -4-2√3/2

x = -2+√3i and -2-√3i


Related Questions

WILL GIVE BRAINLIEST! HELP ASAP!

The solution to an inequality is x < 3.5. Which of the following statements and graphs are true? Select all that apply.

Answers

Answer:

any nuber less then 3.5  and 5th awnser

Step-by-step explanation:

x is less then 3.5 so any    number less then 3.5

5th one is true too because you can go into negitves  and tehre is are infanite negitives

Answer:

The following statements and graphs are true:

x < 3.5

Any number that is less than 3.5 is a solution.

There are an infinite number of solutions.

The statement "x ≤ 3.5" is not true because the original inequality states that x is strictly less than 3.5, not less than or equal to 3.5. The statement "Any number that is greater than 3.5 is a solution" is also not true for the same reason. Finally, 3.5 is not a solution to the inequality because the inequality is strict: it only includes values of x that are strictly less than 3.5.

________________________________________________________

What is the difference between strict and non-strict inequalities?

The difference between strict and non-strict inequalities is that strict inequalities use "<" or ">" symbols, which exclude the boundary values, while non-strict inequalities use "≤" or "≥" symbols, which include the boundary values.

For example, the inequality x < 5 is a strict inequality, which means that x can be any number less than 5, but it cannot be 5 itself. On the other hand, the inequality x ≤ 5 is a non-strict inequality, which means that x can be any number less than or equal to 5.

Similarly, the inequality y > -3 is a strict inequality, which means that y can be any number greater than -3, but it cannot be -3 itself. The inequality y ≥ -3 is a non-strict inequality, which means that y can be any number greater than or equal to -3.

What are some real-life applications of inequalities, and how are they used in various fields of study?

Inequalities are used in a variety of real-life applications, including:

Business and economics: Inequalities are used to represent constraints in optimization problems, such as maximizing profits subject to resource limitations.

Engineering and physics: Inequalities are used to represent physical constraints, such as maximum and minimum values for quantities like speed, acceleration, and force.

Health and social sciences: Inequalities are used to represent inequalities in health outcomes and access to healthcare, as well as social inequalities related to income, education, and other factors.

Computer science and optimization: Inequalities are used to represent constraints in optimization problems, such as scheduling, routing, and allocation of resources.

Probability and statistics: Inequalities are used to bound the probability of events and to represent relationships between random variables.

Inequalities are also used in various fields of mathematics, including algebra, geometry, and analysis. They are important tools for proving theorems and solving problems in these areas.

You are on a boat and measuring the height of a lighthouse, off in the distance. Your boat is 45ft from the coast. You measure the angle of elevation from your point on the boat to the top of the lighthouse to be 59∘. Find the height of the lighthouse to the nearest foot.

Answers

This is a trigonometry question, where a right angle triangle is created from the boat to the coast to the top of the light house.

x is the angle of elevation
Opposite is the height of the light house
Adjacent is the distance from coast

Tan(x) = opposite/adjacent

tan (59) = opposite/ 45

tan(59) x 45 = opposite

opposite = 74.893

The height of the light house (from sea level) is 75 foot.

which point is best represented by the ordered pair (2,-5.5)

Answers

Answer:

Point W best represented by the ordered pair (2,-5.5)

If the volume of this cube (15 cm and 5 cm) is 525 cm3,then the length of the missing side is what cm?

Answers

Its 7


Just multiply 15 and 5 which gives you 75. Take 525 and divide it by 75 and you get 7. You can check your answer by multiplying (what you got for your answer) x 5, then that result is multiplied by 15 and you should get 525.


Hope it helps :D

Find the length of the missing leg of a right triangle given a leg of length 60 and a hypotenuse of length 61

Answers

Answer:

11 units

Step-by-step explanation:

61² - 60² = x²

3721 - 3600 = 121

√121 = 11

(add. write your answer as a fraction, as a whole or as a mixed number)
PLEASE HELP . WILL GIVE BRAINLIEST !

Answers

Answer:

11 2/9.

Step-by-step explanation:

1 8/9 + 9 1/3

= (1 + 9) + (8/9 + 1/3)

= 10 + (8/9 + 1/3)

8/9 + 1/3:

LCD of 3 and 9 is 9 so we have:

8/9 + 3/9 = 11/9

11/9 = 1 2/9

Answer = 10 + 1 2/9

= 11 2/9.

Answer:

[tex]11\frac{2}{9}[/tex]

Step-by-step explanation:

[tex]1\frac{8}{9} +9\frac{1}{3}=1\frac{24}{27} +9\frac{9}{27} =10\frac{33}{27} =11\frac{6}{27}=11\frac{2}{9}[/tex]

pls help i need the answer

Answers

This is just an equation with no answer since there are two different variables, p(t) and t, so there’s no solution, but if you create another request with a full question I can help you out.

Help me please |7-11|=

Answers

Answer:

-4

Step-by-step explanation:

7- 11= -4

Answer:

4, 7-11=-4, but absolute value cant be negative

Step-by-step explanation:

I need help with geometry

Answers

Answer:

[tex]Points ~that ~lies~on ~the~sides~of ~the~triangle.[/tex]

[tex]A)~(a,0)[/tex][tex]D)~\frac{a}{2}=\frac{b}{2}[/tex]

---------------------------

hope it helps...

have a great day!!

Answer:

Options A and D will be your answers

Step-by-step explanation:

hope it helps you...

If the value of "y" varies directly with "x"
and y = -8 when x = 4.
Find "y" when x = -4.
Enter the number that belongs in the green box.
y = [?]

Answers

This is see through. Y = -8 both vary directly with X.

Can somebody help me out my grade are bad

Answers

Answer:

just use the photo math app it scans your math problem and it solves it for you and it gives you step by step and explanation

Step-by-step explanation:

go to the Play store then you download the app or wherever you get your apps and then I can't remember from there you might have to create account but it's super easy all you have to do is take a picture and it'll scan it but make sure it's clear it's really easy and it's free photo math is the best

X=40
Triangles have a sum total of 180 . Do first add 79 and 61= 140. Then 180-140 =40

Which graph doesn't belong?
A
B
C
Explain your thinking.

Answers

Answer:

C

Step-by-step explanation:

It is negative.

C because the line didn’t start at the origin

Please help on this!!! Thanks!!

Answers

Answer:

7y=4y +9(corresponding sides of congruent triangle)

or,7y-4y=9

or, 3y=9

or,y=9/3

so,y=3

now

ST=7y=7×3=21

again

TU=4y+9=4×3+9=21

hope this will help you more

Linda is training for a half marathon. She ran
3 34 miles Monday, 3 miles Tuesday, and 2 12 miles Wednesday. How many miles did she
run in those three days?

Answers

Answer:

8 14

Step-by-step explanation:

Someone please help me

Answers

Answer:

y=x^2 - 1, y=5x^3 + 9, and y=2x(x-3)

Step-by-step explanation:

these equations are either parabolas or a cubic function. These graphs do not have a constant rate of change, proving that Jimmy is incorrect. y=20-4x and y=15 are both straight lines/linear.

I need help please, I’m stuck

Answers

Answer:

x = 15

Step-by-step explanation:

Find the area of the shaded region

Answers

Answer:

249.9

Step-by-step explanation:

Area of the shaded region is 223.72 square units.

Step-by-step explanation:

Area of the shaded region = Area of parallelogram - Area of triangle

Area of the parallelogram = base x height

= 23.8 x 15

= 357 square feet

Area of triangle = \frac{1}{2}

2

1

x base x height

Let the height of the triangle be represented by h, applying the Pythagoras theorem;

23.8^{2}23.8

2

= 21^{2}21

2

+ h^{2}h

2

566.44 = 441 + h^{2}h2

h^{2}h

2= 125.44

h = \sqrt{125.44}

125.44

= 11.2

h = 11.2

Area of the triangle = \frac{1}{2}

21 x 23.8 x 11.2 = 133.28

Area of shaded region = 357 - 133.28

= 223.72

Area of the shaded region is 223.72 square units.

5. (07.02 MC) What is the value of y in the equation 2(2y - 16) = 0? (5 points) O 4 06 8 O O​

Answers

Answer:

8 mate.

Step-by-step explanation:

heavy metal is pretty brilliant.

What is the mean absolute deviation of the data set?

{5, 7, 12, 11, 3, 10}

Answers

Answer:

3

Step-by-step explanation: First, you find the mean of the data set. Then you take that mean and find the difference of that and each value, you add those up and find the mean of that number.

Oliver interviewed 30% of the 9th grade class and 70% of the 10th grade class at his school. Jenny interviewed 75% of the 9th grade class and 25% of the 10th grade class at the same school. Oliver interviewed a total of 176 students and Jenny interviewed 140 students.

A. 36
B. 80
C. 120
D. 200

Answers

Answer:

A. 36

Step-by-step explanation:

We are given a total of 176 interviewed by Oliver and a total of 140 interviewed by Jenny. To find how many more 10th graders than 9th graders were interviewed, subtract the totals given

176 - 140 = 36

This is how we came to the answer:

We are given 70% of the 10th-grade and 30% of the 9th-grade with a total of 176 for Oliver.

While we're given 75% of the 9th-grade class and 25% of the 10th-grade with a total of 140 interviewed by Jenny

Oliver's Interviewees

10-graders

Firstly, let's find what the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;

70% of 176 =

Cross multiply

123.2 were 10-graders interviewed by Oliver

9th-graders

Now, to find the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;

30% of 176 =

 

Cross multiply

52.8 were 9th-graders interviewed by Oliver

Jenny's Interviewees

9th-graders

Firstly, let's find what the number of 9th-graders was interviewed by Jenney; find the percentage of the 9th-graders by the total;

75% of 140 =

 

Cross multiply

105 students were 9th-graders interviewed by Jenney.

10th-graders

Now, to find the number of 10th-graders was interviewed by Jenney; find the percentage of the 10th-graders by the total;

25% of 140 =  

 

Cross multiply  

35 students were 10th-graders interviewed by Jenney.  

Total calculation

Use the results and sum them up by 9th-grade plus 9th-grade and 10th-grade plus 10-grade. Then subtract the amount gotten from 9th-grade away from the amount gotten from 10th-grade;

Oliver's 9th-grade = 52.8

Jenny's 9th-grade = 105

105 + 52.8 = 157.8

Oliver's 10th-grade = 123.2

Jenny's 10th-grade = 35

123.2 + 35 = 158.2

Total calculation: 158. 2 - 157.8 = 0.4

Therefore, there are 36 more 10th than 9th.

For more information, visit: https://brainly.com/question/23490909

Jamie went deep sea diving. If he descends at a rate of 4 feet per minute, what integer represents his depth after 8 minutes?

Answers

Answer: 32 ft.

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

4 feet per minute times 8 minutes equals 32

Select the correct answer.
The function g(x) = x2 is transformed to obtain function h:

h(x) = g(x) + 1.

Which statement describes how the graph of h is different from the graph of g?

A.
The graph of h is the graph of g vertically shifted down 1 unit.
B.
The graph of h is the graph of g vertically shifted up 1 unit.
C.
The graph of h is the graph of g horizontally shifted right 1 unit.
D.
The graph of h is the graph of g horizontally shifted left 1 unit.

Answers

Answer:

the answer is D

Step-by-step explanation:

The graph of h is the graph of g horizontally shifted left 1 unit.

Given that,

The function [tex]\rm g(x) = x^2[/tex]is transformed to obtain function h:

h(x) = g(x) + 1.

We have to determine,

Which statement describes how the graph of h is different from the graph of g?

According to the question,

The first transformation is vertical transformation.

This type of transformation shifts the graph up or down relative to the parent graph.

The graph will shift up if we add a positive constant to each y- coordinate whereas the graph will shift down if we add a negative constant.

This type of transformation shifts the left or right relative to the parent graph.

This takes place when we add or subtract coordinates from the x-axis before the function is applied.  

The h(x) is horizontally shifted left 1 unit

The equation is,

[tex]\rm h(x) = g(x)-1[/tex]

The h(x) is horizontally shifted left 1 unit,

The equation is,

[tex]\rm h(x) = g(x)+1[/tex]

Hence, The graph of h is the graph of g horizontally shifted left 1 unit.

To know more about Transformation of Graph click the link given below.

https://brainly.com/question/21981889

Here is a pattern made from sticks:
a)
How many sticks would be in pattern number 6?
b)
How many sticks would be in pattern number n?

Answers

Answer: 2, 5

Step-by-step explanation:yes

<3 pwease help will do anything lol <3
2. A 480 Ω resistor is connected in series to a 360 Ω resistor and a 120-V power supply.
a. Draw the circuit.



b. Calculate the equivalent resistance of the circuit.


c. Calculate the current through the battery.


d. How much current is passing through each resistor?


e. Calculate the voltage drop across each resistor.

f. How does the voltage drop across each resistor compare to the voltage of the battery

Answers

I just answered a so let's start with b :

______________________________

b. The equivalent resistance of series

resistances is equal to their sum

Thus :

equivalent resistance = 480 + 360

equivalent resistance = 840

_______________________________

c.

I = V ÷ R

I = 120 ÷ 840

I = 0.1428 A

_______________________________

d. 0.1428 A

_______________________________

e. 480 ===》 120 - ( 480 × 0.1428 ) =

120 - 68.544 =

51.456

360 ===》 120 - ( 360 × 0.1428 ) =

120 - 51.408 =

68.592

_______________________________

f. 480 ===》68.544 lower than battery

360 ===》 51.408 lower than battery

Identify the following as a radius or diameter and its length. segment DA

Answers

Step-by-step explanation:

Radius=EA,AB,DA,CA

diameter=EB

length of diameter =2×4=8cm

stay safe healthy and happy.

Which of the following cannot be the probablity of an event?
4
9
0-0.7
1.31
4
9
0.00
9
1.00
0.3

Answers

Answer:

Hello There!!

Step-by-step explanation:

I believe the answer is 4,9,0-0.7,1.31,4,9 and 9.The probability of an event if from 0 to 1.

hope this helps,have a great day!!

~Pinky~

PLEASE HELP! ( no random links ) correct answers please. Find median

Answers

Answer:

2

:) hope it helped!

Elijah bought a chest of drawers originally priced at $50.40 but on sale for 40% off. After 6.25% sales tax, what was the total cost

Answers

Answer:

$32.13

Step-by-step explanation:

IXL

The total cost will be;

⇒ $32.05

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Elijah bought a chest of drawers originally priced at $50.40 but on sale for 40% off.

Now,

Since, Elijah bought a chest of drawers originally priced at $50.40 but on sale for 40% off.

Hence, The sale price = 40% of $50.60

                                  = 40/100 × $50.60

                                  = $20.24

Thus, The price chest of drawers become = $50.40 - $20.24

                                                                 = $30.16

Since, The sales tax = 6.25%

Hence, The sales price = 6.25% of $30.16

                                    = 6.25/100 x 30.16

                                    = $1.89

Thus, The total cost = $30.16 + $1.89

                              = $32.05

Therefore, The total cost will be;

⇒ $32.05

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ6

How do you do this?
Find M

Answers

Answer:

Step-by-step explanation:

Let angle ABZ be angle 1 and angle ZBC be angle 2.

Angle 1 = 85 degree

Angle 2 = 6x + 9

measure of angle ABC = 24x+4

Angle 2 = ABC - 85

6x + 9 = 24x + 4 - 85

6x - 24x = 4 - 85 - 9

-18x = -90

x = -90/-18 = 90/18 =

x = 5

Therefore the measure of angle 2 = 6*5 + 9 = 30+9 = 39 degree

Therefore the measure of angle ZBC = 39 degree

Hope you understand

Please mark as brainliest

Thank You

can ace and expert help me in which number does 7 resent 10 times the value that it respesnts in 167 300​

Answers

Answer:

D

7k*10=70k

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Because it is in the 4th place and x 10 moves it over 1 so in 5th place then

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