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3 years ago

The product of a number and 1 less than the is 30. Find the number

Mathematics

1 answer:

AysviL [449]3 years ago

6 0

6 and 5.

6 is one more than 5, and 5 * 6 = 30.

Hope this helps! Have a great day :)

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Lines C and D are represented by the equations given below: Line C: y = x + 6 Line D: y = 3x + 2 Which of these shows the soluti

Andre45 [30]

Solution: (2,8)

Using the elimination method set up the system of equations like:

y = x + 6

y = 3x + 2

Eliminate the x-variable by multiplying the top equation by -3

-3y = -3x -18

y = 3x + 2

Combine terms:

-2y = -16

-y = -8

y = 8

Plug in 8 to one of the first equations for y

8 = 3x + 2

6 = 3x

x = 2

Solution: (2,8)

7 0

3 years ago

the empire state building is 1250 feet tall. IF an object is thrown upward from the top of the building at an initial velocity o

ss7ja [257]

Answer:

Time for the object to get h(max) s = 1.1875 sec

h (max) = 1272.57 feet

Down time for the object to hit the ground = 4.25 sec

Step-by-step explanation:

The relation

h(s) = - 16*s² + 38* s + 1250 (1)

Is equivalent to the equation for vertical shot

Δh = V(i)*t - 1/2g*t² (in this case we don´t have independent term since the shot is from ground level. We can see in (1), the independent term is 1250 feet ( the height of the empire state building), the starting point of the movement.

The description of the movement is:

V(s) = V(i) - g*s ⇒ V(s) = 38 - 32*s

At h(max) V(s) = 0 38/32 = s

So the maximum height is at s = t = 1.1875 sec

The time for the object to pass for starting point is the same

t = 1.1875 sec

h(max) is

h(max) = - 16* (1.1875)² + 38 (1.1875) + 1250

h(max) = - 22,56 + 45.13 + 1250

h(max) = 1272.57 feet

Time for the object to hit the ground is

h(s) = - 1250 feet

-1250 = - 16 s² + 38*s + 1250

-16s² + 38s = 0

s ( -16s + 38 ) = 0

First solution for that second degree equation is x = 0 which we dismiss

then

( -16s + 38 ) = 0 ⇒ 16s = 38 s = 38/16

s = 2.375 sec and we have to add time between h (max) and to get to starting point ( 1. 1875 sec)

total time is = 2.375 + 1.875

Total time = 4.25 sec

4 0

3 years ago

The number 18 is which % of 15

Anuta_ua [19.1K]

It would be: 18/15 * 100 = 1800/15 = 120%

3 0

3 years ago

What value of x is in the solution set of 3(x – 4) ≥ 5x 2?

Andrej [43]

Hope there are

3(x-4) >= 5x^2 or this 2 from the end what mean ?

3x-12 >=5x^2

0>=5xˇ2 -3x +12

5x^2 -3x +12 =0

D = 9 -240 = -150 so what mean that this equation has not real solutions

5 0

3 years ago

Read 2 more answers

Which table represents a direct variation function? A table with 6 columns and 2 rows. The first row, x, has the entries, negati

IceJOKER [234]

Answer:

The correct option is;

A table with 6 columns and 2 rows. The first row, x, has entries, negative 3, negative 1, 2, 5, 10. The second row, y, has entries, negative 7.5, negative 2.5, 5.0, 12.5, 25

Please find attached the graphs of the table data

Step-by-step explanation:

Each of the given table data of in the tables are analysed to find direct variation;

Table 1

x, -3, -1, 2, 5, 10

y, -4.5, -3.0, -1.5, 0.0, 1.5

-4.5/-3 = 1.5 ≠ -3.0/-1 = 3

No direct variation

Table 2

x, -5.5, -4.5, -3.5, -2.5, -1.5

y, 10, 8, 6, 4, 2

10/(-5.5) = -20/11 ≠ 8/(-4.5) = -16/9

However, 10/(-5.5 + 0.5) = -2 = 8/(-4.5 + 0.5) = -2

Adjusted direct variation

Table 3

x, -5.5, -5.5, -5.5, -5.5, -5.5

y, -3, -1, 2, 5 , 10

-3/(-5.5) ≠ -1/-5.5

No direct variation

Table 4

x, -3, -1, 2, 5, 10

y, -7.5, -2.5, 5.0 , 12.5, 25

-7.5/-3 = 2.5 = -2.5/(-1) = 5.0/2 = 12.5/5 =25/10

Direct variation exists

8 0

3 years ago

Read 2 more answers