Solve the following quadratic formula and enter the solutions below from smallest to largest. Round to the nearest tenth if necessary.

Equation: 4x2+8x+7=4

Solution: Answer
and

Answers

Answer 1

Answer:

[tex]\:x=-\frac{3}{2},x=-\frac{1}{2}[/tex]

Step-by-step explanation:

Subtract 4 from both sides:

[tex]4x^2+8x+7-4=4-4[/tex]

Simplify:

[tex]4x^2+8x+3=0[/tex]

Solve with the quadratic formula:

[tex]x_{1,\:2}=\frac{-8\pm \sqrt{8^2-4\cdot \:4\cdot \:3}}{2\cdot \:4}[/tex]

[tex]x_{1,\:2}=\frac{-8\pm \:4}{2\cdot \:4}[/tex]

Separate the solutions:

[tex]x_1=\frac{-8+4}{2\cdot \:4},\:x_2=\frac{-8-4}{2\cdot \:4}[/tex]

The solutions to the quadratic equation are:

[tex]\:x=-\frac{3}{2},x=-\frac{1}{2}[/tex]


Related Questions

erin wants to equally divide oatmeal bars among five friends if she has 12 bars how many will each friend receive

Answers

Answer:

Each friend gets 2.4 bars

Step-by-step explanation:

12/5 is 2.4

Answer:

2.4 oatmeal bars

Step-by-step explanation:

12/5=2.4

3
Use the drawing tools) to form the correct answer on the provided graph
Plot the axis of symmetry and the point where the maximum value occurs for this function
x=+x+22-8
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Answers

To find the maximum value of the function, we need to know the vertex of the parabola[tex]\large \boldsymbol {} \displaystyle ax^2+bx+c=0 \\\\ \boldsymbol{x_v=-\frac{b}{2a} } \\\\\\ \boldsymbol {y_v=ax_v+bx_v+c}[/tex]  

Where    [tex]\large \boldsymbol {x_v \ \ ; \ \ y_v}[/tex] - are the coordinates of the vertex of the parabola

[tex]\large \boldsymbol \displaystyle {} f(x)=-(x+2)^2+8 = -1\cdot x^2-4x+4 \\\\\\ \displaystyle x_v=-\frac{-4}{-2} =-2 \\\\\\y_v=-(-2+2)^2+8 =8[/tex]  

The graph in the attached file

what is the GCF of 30 42​

Answers

Answer:

The answer is 6 :)

Step-by-step explanation:

The GCF of two non-zero integers, x(30) and y(42), is the greatest positive integer m(6) that divides both x(30) and y(42) without any remainder.

Answer:GCF=2

Step-by-step explanation:

The lowest factor that fits is 2.

2x15=30

2x21=41

2. original: $20.00
percent of discount: 40%
And explain why

Answers

Answer:

because u loss $12 I think

5. Alex bought two hots dogs, fries, and a water at the food truck. The hot dogs were
$2.35 each and the fries were $1.25. When he paid with a $10 bill he received $1.45 in
change. How much was the water?
35 4.7070

Answers

Answer:

2.60

Step-by-step explanation:

4.70 hotdogs

fries 1.25

water 2.60= 8.55-10=1.45

Find the hypotenuse of a right triangle given the legs 10 cm and 24 cm.

A. 26 cm

B. 21.8 cm

C. 6.4 cm

D. 18 cm

Answers

Step-by-step explanation:

you take the square of ten and add to the square of twenty four then find the square root of the answer

Answer:

26 cm

Step-by-step explanation:

to be honest took the test 3 times and never got this one right it could very well be 21.8 so if it does happen to be 21.8 please someone correct me

how do you decide which rational number operations to use to solve the problems?

Answers

Answer:

The process of "choosing the operation" involves deciding which mathematical operation (addition, subtraction, multiplication, or division) or combination of operations will be useful in solving a word problem.

Step-by-step explanation:

You have a rectangular prism as shown below. Its height is 7 cm, its width is 4 cm, the length is 3 cm. How would we calculate this volume?

Answers

9514 1404 393

Answer:

  84 cm³

Step-by-step explanation:

There are formulas for the volumes of simple geometric solids: prism, cylinder, pyramid, cone, frustum of a pyramid or cone.

The formula for the volume of a rectangular prism is ...

  V = LWH . . . . . product of Length, Width, and Height

Put the numbers in place of the corresponding variables and do the arithmetic.

  V = (3 cm)(4 cm)(7 cm) = 84 cm³

The volume of this rectangular prism is 84 cubic centimeters.

Please help me solve this ASAP

Answers

Answer:

There is no solution.

Step-by-step explanation:

In simplifying this, you'd start by distributing the negative sign on the left.

-(6x + 6) + 2 = -6x - 3 becomes -6x - 6 + 2 = -6x - 3.

Then you can add -6 and 2 on the left.

-6x - 6 + 2 = -6x - 3 becomes -6x - 4 = -6x - 3.

With that done, you can add 4 to both sides.

-6x - 4 = -6x - 3 becomes -6x = -6x + 1.

Then, add 6x to both sides.

-6x = -6x + 1 becomes 0 = 1.

Here, we run into an issue - 0 does not equal 1, and there is no way to avoid running into this while solving this equation. This means that this problem has no solution, there is no value that x can have that would make it true.

4. 18 is 80% of what?
A. 20
B. 22.5
C. 14.4
D. 9

Answers

Answer:

22.5 (B)

Step-by-step explanation:

The Answer to Your question is C.
18 is 80% of 14.4

C. 14.4

A rectangular schoolyard is to be fenced in using the wall of the school for one side and 500 meters of fencing for the other three sides. The area in square meters of the schoolyard is a function of the length in meters of each of the sides perpendicular to the school wall.



A. Write an expression for A(x) using NO SPACES.


B. What is the area of the schoolyard when x = 100 ?


C. What is a reasonable domain for x in this context?

Answers

Answer:

StPart 1) The expression is  

Part 2) The area of the schoolyard when x=40 m is A=2,800 m^2

Part 3) The domain is all real numbers greater than zero and less than 75 meters

Step-by-step explanation:

Part 1) Write an expression for A(x)

Let

x -----> the length of the rectangular schoolyard

y ---> the width of the rectangular schoolyard

we know that

The perimeter of the fencing (using the wall of the school for one side) is

so

-----> equation A

The area of the rectangular schoolyard is

---> equation B

substitute equation A in equation B

Convert to function notation

Part 2) What is the area of the schoolyard when x=40?

For x=40 m

substitute in the expression of Part 1) and solve for A

Part 3) What is a reasonable domain for A(x) in this context

we know that

A represent the area of the rectangular schoolyard

x represent the length of of the rectangular schoolyard

we have

This is a vertical parabola open downward

The vertex is a maximum

The x-coordinate of the vertex represent the length for the maximum area

The y-coordinate of the vertex represent the maximum area

The vertex is the point (37.5, 2812.5)

using a graphing tool, see the attached figure

therefore

The maximum area is 2,812.5 m^2

The x-intercepts are x=0 m and x=75 m

The domain for A is the interval -----> (0, 75)

All real numbers greater than zero and less than 75 meters

ep-by-step explanation:

The resting heart rate of an adult is usually about 60 beats per minute. Complete the chart below and be sure to include comma for thousands.
Minutes Heartbeats
1 60
5 300
10 [blank]
50 [blank]
100 [blank]
500 [blank]
1,000 [blank]
5,000 [blank]
10,000 [blank]
( 25 point's !!!!!)

Answers

Answer:

heart rate for adults ranges from 60 to 100 beats per minute genuinely a lower heart rate is at rest implies more efficient heart functions and better cardiovascular fitness

Step-by-step explanation:

a well-trained athlete might have a normal resting heart rate closer to 60 beats per minute

(I really do hope this helps)

Can you help me with this post? 1,2:3,24 2 1/5 : 3/4 2/7:0,42

Answers

Answer:

2:57

Step-by-step explanation:

2:57 ururyrhhdhhdhhdhdggfhfhdisjssbdvhjsnbhijnvhhhvhhxggfhfhfisi

Add −1.5+1.75

Plot the first addend and the sum on the number.

Answers

Answer:

0.5+0.75=0.80

now

1+1=2

2+0.80=2.89

Answer:

.25

Step-by-step explanation:

its very easy btw you shouldn't have needed to post it just use a calculator.

PLS HELP ME, WILL GIVE BRAINLIEST!!

Answers

Answer:

no they are too far apart

Step-by-step explanation:

3 an 3/4x2 an 2/3................

Answers

Answer:

M expression:

3x^2/2

D expression:

3, 3/4 x^2, 2/3

Help me I HATE MATH!!!

Answers

Answer:

2, 3, ,6 ,9. (YOUR ANSWER)

All numbers listed below!

15282 ÷ 1 = 15282

15282 ÷ 2 = 7641

15282 ÷ 3 = 5094

15282 ÷ 6 = 2547

15282 ÷ 9 = 1698

15282 ÷ 18 = 849

15282 ÷ 27 = 566

15282 ÷ 54 = 283

15282 ÷ 283 = 54

15282 ÷ 566 = 27

15282 ÷ 849 = 18

15282 ÷ 1698 = 9

15282 ÷ 2547 = 6

15282 ÷ 5094 = 3

15282 ÷ 7641 = 2

15282 ÷ 15282 = 1

1, 2 , 3, 6, 9, those are the factors there is more but for the question above

Solve: 2x+1= 2X - 1

A) No Solution

B) x = 0

C) Infinitely Many Solutions

Answers

Answer:

A) No Solution

Step-by-step explanation:

2x+1=2x-12x-2x=-1-10 = -2

Thus, it has no solution

Colin types his research paper for 3 hours. how many minutes is that?​

Answers

Answer:

180 minutes

Step-by-step explanation:

60*3=180

Hey there! The answer is:

180 minutes

Explanation:

There are 60 minutes in 1 hour. We know Colin typed his research paper for 3 hours. This means we can multiply 60 minutes by 3 hours and that will give us the number of minutes he spent researching his paper.

60 x 3 = 180

This means Colin typed his research paper for 180 minutes. I hope this answer helped you out, have an amazing day :)

A scuba diver descends from the surface at a rate of 38 feet per minute.

What is the position of the scuba diver relative to the surface after diving for 3 minutes?

Answers

Answer:

114 feet

Step-by-step explanation:

Since the rate per minute is 38 ft per minute. You multiply that by three and get your rate for 3 minutes.

Answer:

114

Step-by-step explanation:

 38

 38

+38

 114

Hope this helps!

Brainliest pls

Have a great day!

Rise over run please?????????

Answers

Answer:

1/3

Step-by-step explanation:

up 1 right 3

M= rise/run M= 1/3


Rise 1 run 3

please solve this problem
please give me the correct answer​

Answers

I hope this solution works

how do I solve this problem
2|x+7|-5=15

Answers

Answer:  x=3 or x=-17

Step-by-step explanation: go to mathpapa.com and type the question. then click step by step it is really helpful.

The product of a rational and irretional number is always, sometime, or never rational.

Answers

Answer:

Step-by-step explanation:

The product of a rational number and an irrational number is SOMETIMES irrational." If you multiply any irrational number by the rational number zero, the result will be zero, which is rational. Any other situation, however, of a rational times an irrational will be irrational.

Three more than twice a number is less than negative fifteen.

Answers

Answer:

3+2x < -15

x<-9

I hope this helps : )

Answer:

Step-by-step explanation:

Glenda wants to find out how often people in her town visit the cinema.
She collects data from 10 people standing in a queue outside a cinema.

Answers

Answer:

huh your questions make no sense there has to be more

Step-by-step explanation:

3+3+3+34+5+6+7+7+[tex]2+2[/tex]

Answers

Answer:

72

Step-by-step explanation:

Hope it helped brainiest plz

does 2/4 and 2/3 have the LCM of 12?

Answers

Answer:

yes

Step-by-step explanation:

2/4 and 2/3 has a LCM of 12

Answer:

Step-by-step explanation:

The LCM of 2/4 and 2/3 is 2. This is because 2/4 goes into 1, 3/2, and 4/2=2. 2/3 goes into 4/3, 6/3=2.

These spam comments are getting out of hand. They’re everywhere and it’s really annoying having to post another question because of those spam comments. Like who’s behind all of this? And for what reason are they doing this?

Answers

Answer:

I agree it's annoying!!!

Step-by-step explanation:

I think the people who just spam questions are just lazy and they have nothing else to do with their lives. So they try to make themselves feel better by annoying other people. I hope you are having a good day other than people spamming questions!

i know, it completely ruins the app!
people need help and others want to give help. some want both. so why do people want to step it and waste there time?!
so upsetting.

Katie wants to collect over 100 seashells. She already has 34 seashells in her collection. Each day, she finds 12 more seashells on beach. Katie can use fractions of days to find seashells. Write an inequality to determine the number of days, dd, it will take Katie to collect over 100 seashells.And please demonstrate it on a number line

Answers

Answer:

full answer na po yarnnnnnnnn

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