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

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).

2) x = 4

4) x = sqrt(106) = 10.3

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

Answer:

-8 x 2/3

=–16/3.

or -5⅓

Have a great day!

Answer:

C. 70 cm

Step-by-step explanation:

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

4 × 10 = 40

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Each triangle has an area of 7.5:

7.5 × 4 = 30

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30 + 40 = 70

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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

Answer:

take care everyone be safe

stay home , stay safe

take vaccination

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

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 .

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

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

Answer:

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. PW

2.UT

3.CR

4.QW

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?

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.

Answer:

B. ½

Step-by-step explanation:

____________________

Answer:

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

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

Step-by-step explanation:

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.

Answer:

0.04

Step-by-step explanation:

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

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%

Answer:

it's 10 times 7 divided by 2

Answer:

carl and ben aint human chief

Step-by-step explanation:

Answer:

1 11/12

because they ain't human chief ant answer

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

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

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: