Solve using the Quadratic Formula
5x2-3x-7=0
A)
B)
C)
D)

Solve Using The Quadratic Formula 5x2-3x-7=0A)B)C)D)

Answers

Answer 1

Answer:

C) [tex]\displaystyle x=\frac{3 \pm \sqrt{149}}{10}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

5x² - 3x - 7 = 0

a = 5, b = -3, c = -7

Step 2: Solve for x

Substitute in variables [Quadratic Formula]:                                                  [tex]\displaystyle x=\frac{3 \pm \sqrt{(-3)^2-4(5)(-7)}}{2(5)}[/tex][√Radical] Evaluate exponents:                                                                       [tex]\displaystyle x=\frac{3 \pm \sqrt{9-4(5)(-7)}}{2(5)}[/tex][√Radical] Multiply:                                                                                           [tex]\displaystyle x=\frac{3 \pm \sqrt{9+140}}{2(5)}[/tex][√Radical] Add:                                                                                                 [tex]\displaystyle x=\frac{3 \pm \sqrt{149}}{2(5)}[/tex][Fraction] Multiply:                                                                                            [tex]\displaystyle x=\frac{3 \pm \sqrt{149}}{10}[/tex]

Related Questions

What is the area in square centimeters of the triangle below?

Answers

Answer:

it's 10 times 7 divided by 2

Find the value of x and y.

Answers

Answer:

x=34[tex]\sqrt{2}[/tex]

y=34[tex]\sqrt{3}[/tex]

Step-by-step explanation:

¿Cómo se mide el grado de una ecuación algebraica?

Answers

Answer: El grado de una ecuación lo marca el monomio (o término) de mayor grado absoluto. 5x + 3 = 2x + 1 Ecuación de primer grado (cada término posee solo una incógnita y su exponente es uno) . 5x + 3 = 2x 2 + x Ecuación de segundo grado.

What is the total area of the shape?

A 35 cm?
B 100 cm?
C 70 cm?
D 50 cm?

Answers

Answer:

C. 70 cm

Step-by-step explanation:

Split all the shapes, so, the square would be:

4 × 10 = 40

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

Each triangle has an area of 7.5:

7.5 × 4 = 30

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

30 + 40 = 70

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

Have a good day :)

Answer:

70

Step-by-step explanation:

square= 40 (10x4)

two triangles= another square with smaller dimensions= 15

there are two more triangles on the other side so 15x2=30

30+40=70

What is the slope of the line ?

Answers

Answer:

B. ½

Step-by-step explanation:

____________________

OMG last one please help

Answers

Answer:

m<D = 14

Step-by-step explanation:

Exterior angles thm:

83 + 6x - 4 = 21x + 4

6x + 79 = 21x + 4

6x - 21x = 4 - 79

-15x = -75

x = 5

m<D:

6x - 4

6(3) - 4

18 - 4

14

which number represents 4%

400
40
0.4
0.04​

Answers

Answer:

0.04

Step-by-step explanation:

HELP PLZ I LOVE YOU GUY LET GOOOOO

Answers

Answer:

9 no answer 10

10 no answer 630

11 no answer 12.56 ft^3

12 no answer 268.1 km^3

Step-by-step explanation:

Which of the following functions is graphed below?

Answers

The answer to this is D



3. Si al doble de un número se le resta su mitad resulta 30. ¿Cuál es el número? Plantear ecuación y resolverla

Answers

Respuesta:

2x - 0.5x = 30

x = 20

Explicación paso a paso:

Llamemos "x" a la incógnita, el número desconocido.

Cuando nos referimos al doble de un número, es lo mismo que 2x.

Cuando nos referimos a la mitad de un número, es lo mismo que 0.5 x.

Consideremos que al doble de un número (2x) se le resta su mitad 0.5x) y se obtiene 30. La ecuación resultante es:

2x - 0.5x = 30

1.5x = 30

x = 30/1.5 = 20

solving equations

x-1=19

Answers

Answer:

x=20

Step-by-step explanation:

x-1 = 19

Add 1 to each side

x-1+1 = 19+1

x=20

Answer:

x = 20

Step-by-step explanation:

x - 1 = 19

Add 1 to both sides

x = 20

HELPPPP ME PLSSS DUE IN 10 MINS FOR 20 POINTS

There are 4 blue tiles and 6 red tiles with the letter A written on them in a bag. In the same bag, there are 2 red tiles and 8 blue tiles with the letter B written on them. What is the probability that a randomly selected tile has the letter B or is blue? Give your final answer as the nearest whole percent.

Answers

Answer:

70%

Step-by-step explanation:

4 blue tiles A

6 red tiles A

2 red tiles B

8 blue tiles B

total: 20

total B: 2 + 8 = 10

total blue, not B: 4

p(B or blue) = (10 + 4)/20 = 0.7 = 70%

Which of the following angles in standard position has a measure between 90° and
180°?

Answers

The answer is A

The angle is greater than 90 degrees but less than 180 degrees

A glass is 1/3 full.
Then 63cm3 of orange juice is poured in.
The glass is now 5/8 full.
What is the total volume of the glass?

Answers

Answer:

216 cm³

Step-by-step explanation:

1/3x + 63 = 5/8x

subtract 1/3x from each side; (1/3x = 8/24x  and  5/8x = 15/24x)

63 = 7/24x

7x = 63(24)

7x = 1512

x = 216

i need the answer to this question

Answers

Answer:

SR=1/2*PO

5x-38=1/2*7x-49

2(5x-38)=7x-49

10x-76=7x-49

10x-7x=-49+76

3x=27

x=27/3

x=9

substitute the value of x in RS

5x-38

5*9-38

45-38

7

Step-by-step explanation:

Answer:

RS = 7

Step-by-step explanation:

Given a segment joining the midpoints of 2 sides of a triangle then it is half the length of the third side, that is

5x - 38 = [tex]\frac{1}{2}[/tex] (7x - 49) ( multiply both sides by 2 to clear the fraction )

10x - 76 = 7x - 49 ( subtract 7x from both sides )

3x - 76 = - 49 ( add 76 to both sides )

3x = 27 ( divide both sides by 3 )

x = 9

Then

RS = 5x - 38 = 5(9) - 38 = 45 - 38 = 7

I need help looking for the answer,but is my answer correct.

Answers

I got y = 2x + 12 because the question is only looking for the cost of Fitness Fest, not Gerry’s Gym.
The answer will be 2x=12


[tex] \sqrt{91 + 9} [/tex]
need help please ​

Answers

You would add 91+9 and you would get 100. You would then square root the 100 and get 10

The varsity soccer team has 20 players. Three of the players are trained to be goalies while the remaining 17 can play any position. Only 11 of the players can be on the field at once.

Answers

Answer:

A.) combination

B.) 167,960 ways

C.) 58,344 ways

Step-by-step explanation:

A.)

Choosing 11 players out of 20 available is a cbinationtuon problem simply because the order of choice of the 11 players does not matter on this scenario.

B.)

Here, the coach wants to select her 11 from all available 20:

We apply the combination formula :

nCr ; where ; n = 20 ; selection, r = 11

nCr = n! / (n-r)!r!

20C11 = 20! / 9!11!

20C11 = 167,960

C.)

1 goalie 10 players

1 goalie is selected from the 3 available goalies AND 10 players from the 17 available players :

This gives :

3C1 * 17C10

3C1 = 3

17C10 = 19,448

3C1 * 17C10 = 3 * 19448

= 58,344 ways

A popular website requires users to create a password consisting of digits only. If no digit may be repeated and each password must be at least 9 digits long, how many passwords are possible

Answers

Answer:

I would say about a billion because numbers can be put in any combination

Step-by-step explanation:

EXAMPLES:

012345678

023456781

034567812

045678912

123456780

234567801

345678012

456780123

567801234

678012345

780123456

801234567

123456789

234567891

345678912

456789123

567891234

678912345

789123456

891234567

912345678

There are 3,628,800 possible ways to create passwords .

What is permutation?

Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set.

The symbol [tex]P_{r} ^{n}[/tex] = [tex]\frac{n!}{(n-r)!}[/tex]

is used to denote the number of permutations of n distinct objects, taken r at a time.

According to the question

Website requires users to create a password consisting of digits only.

i.e  Digits are:

0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 7 , 8 , 9 = total 10 digits

no digit may be repeated and each password must be at least 9 digits.

i.e Digits taken at a time is 9 with no repetitions

Now ,

Applying permutation

[tex]P_{r} ^{n}[/tex] = [tex]\frac{n!}{(n-r)!}[/tex]

substituting the value

n = 10

r = 9

[tex]P_{9} ^{10}[/tex] = [tex]\frac{10!}{(10-9)!}[/tex]

[tex]P_{9} ^{10}[/tex] = 10!

     = 3,628,800

Hence, There are 3,628,800 possible ways to create passwords .

To know more about  permutations here:

https://brainly.com/question/1216161

#SPJ2

solve:
[tex] \sqrt{x} + \sqrt{5 + x} = 15 \div \sqrt{5 + x} [/tex]

Answers

x = 4

Explanation:

sqrt(x) + sqrt(5 + x) = 15 / sqrt(5 + x)

sqrt(5 + x)[sqrt(x) + sqrt(5 + x)] = 15

sqrt(5x + x^2) + 5 + x = 15

sqrt(5x + x^2) = 10 - x

Take square of both sides

5x + x^2 = (10 - x)^2

5x + x^2 = 100 - 20x + x^2

Cancel x^2

5x = 100 - 20x

25x = 100

x = 4

-8 * 2/3 answer as a fraction

Answers

Answer:

-8 x 2/3

=–16/3.

or -5⅓

Have a great day!

A train leaves San Diego at 1:00 pm. A second train leaves the same city in the same direction at 3:00 pm. The second train travels 30 mph faster then the first. If the second train overtakes the first at 6:00 pm, what is the the speed of each of the two trains?

Answers

Answer:

The speed of the first train is 45 mph and the speed of the second train is 75 mph

Step-by-step explanation:

Let x represent the speed of the first train in mph. Since the second train, is 30 mph faster then the first, therefore the speed of the second train is (x + 30).

The first train leaves at 1:00 pm, therefore at 6:00 pm, the time taken is 5 hours. Therefore the distance covered by the first train at 6:00 pm = x mph * 5 hours = 5x miles

The second train leaves at 3:00 pm, therefore at 6:00 pm, the time taken is 3 hours. Therefore the distance covered by the second train at 6:00 pm = (x + 30) mph * 3 hours = (3x + 90) miles

Since the second train overtakes the first at 6:00 pm, hence:

3x + 90 = 5x

2x = 90

x = 45

Therefore the speed of the first train is 45 mph and the speed of the second train is 75 mph (45 mph + 30 mph).

Carl jumped 11512 feet in the long jump. Ben jumped 978 feet. How much farther did Carl jump than Ben? A. 1 5/12feet B. 1 13/24feet C. 2 11/24feet D. 2 1/2feet

Answers

Answer:

carl and ben aint human chief

Step-by-step explanation:

Answer:

1 11/12

because they ain't human chief ant answer

Which of the following graphs corresponds to the following function?

Answers

Answer:

3

Step-by-step explanation:

I NEED HELP PLEASE !!!

Answers

Answer:

Step-by-step explanation:

1. PW

2.UT

3.CR

4.QW

BRANLIEST PLZZZ Let us say you live in the United Sates and will be vacationing in Canada for 2 months. Discuss all the unit conversions you will need in order to make your stay safe and successful. (List all the units that are different in Canada – and what conversions you would need so that you can make sense of them.)

Answers

Answer:

take care everyone be safe

stay home , stay safe

take vaccination

no work needed! pythagorean theorem.

Answers

2) x = 4

4) x = sqrt(106) = 10.3

HELPPPPPP PLEASEEEEEEE

Answers

Ok I’ll bet it will work for me and you

What is another name for 22?

Answers

You can rule out both EGF and GEF because they are representing another segment of the graph.

The answer should be DGE. If you use DGE to draw a triangle starting from the first letter (D) and then go to E and then G, then E will be in the middle.

I was taught that the middle letter of any sequence of letters is the angle of said sequence because line DG and line GE connect to form it.

1) Does the table show a proportional relationship? *
1. Last summer, Milo sold water bottles at the park to raise money for his baseball
team.
He made the table below.
High
Temperature
(degrees)

50
85
85
90
100

Number of
Water Bottles
Sold

10

20

25

30

25
Does the table show a proportional relationship? How do you know?

Answers

Answer:it is 50. Degrees

Step-by-step explanation:

High

Temperature

(degrees)

50°

Number of

Water Bottles

Sold

10

20

25

30

25

85°

85

90°

100°

Does the table showa proportional relationship? How do you know?

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