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x^2+25x-54=0

A=1, B=25, C=-54

\(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)Therefore

x= [-25(+-)SQRT(25^2-4*1*(-54)] / (2*1)

x= [-25(+-)SQRT(625-4*(-54)] / 2

x= [-25(+-)SQRT(841) / 2

x= [-25(+-)29 / 2

Two outcomes: 

x₁= (-25+29) / 2

x₁= 2

x₂=(-25-29) / 2

x₂=-27

X= 2 and X=-27

Solve for x:
x^2+25 x-54 = 0

The left hand side factors into a product with two terms:
(x-2) (x+27) = 0

Split into two equations:
x-2 = 0 or x+27 = 0

Add 2 to both sides:
x = 2 or x+27 = 0

Subtract 27 from both sides:
Answer: |  x = 2             or              x = -27

The probability of getting a 2 (an even prime number) in a toss of a die is: 1/6

The probability of getting a "head" in a toss of a coin is: 1/2

The probability of getting both of them at the same time is: 1/6 X 1/2 =1/12, or "C"

YEET

just kidding you all seem so nice on this forum I'm going to sign up :)

1.60199998012e-19

Solve for x:
4 x^2+40 x-51 = 0

Divide both sides by 4:
x^2+10 x-51/4 = 0

Add 51/4 to both sides:
x^2+10 x = 51/4

Add 25 to both sides:
x^2+10 x+25 = 151/4

Write the left hand side as a square:
(x+5)^2 = 151/4

Take the square root of both sides:
x+5 = sqrt(151)/2 or x+5 = -sqrt(151)/2

Subtract 5 from both sides:
x = sqrt(151)/2-5 or x+5 = -sqrt(151)/2

Subtract 5 from both sides:
Answer: |  x = sqrt(151)/2-5                 or                     x = -5-sqrt(151)/2

Slope intercept form is  y= mx + b    where m is slope and b is y-intercept....so just 'solve' this equation into this form to get

y= (1)x + 15     slope is '1'  

he table shown represents a function. x f(x) 2 -2.5 3 -2 4 -1.5 5 -1 7 0 What is the equation that represents the function shown?

When x goes up by 1,   F(x) goes up by a half.

So it is a line with a gradient of 1/2

\(y=\frac{1}{2}x+b\\\)

Sub in one of the points to get b   any point will do   (7,0)

0= half of 7 +b

0=  3.5 +b

b=-3.5

\(y=\frac{1}{2}x-3.5\\ y=0.5x-3.5\\\)

You shoulod sub each of the points in to check that it works.

Also making a table like I did is really easy.  The table button is on the ribbon, just click into it :)

This is a calculator site you know!     / means divide

What is the mean of 4,8,3,6,9?

mean is another word for average.

There are 5 numbers.

Add them all together and divide by 5 that will be your mean. :)

4x^2+40x-51=0

a=4

b=40

c=-51

Just substitute these values into the quadratic equation and you will have you answers.

\(x = {-b \pm \sqrt{b^2-4ac} \over 2a} \)

3A/5 = B/8

Multiply both sides by 5/3 to get

A = B*5/24

Divide both sides by B

A/B = 5/24

The average of the two is (2/5 + 3/5)/2 = (5/5)/2 = 1/2

If you meant the function to be f(x) = 2x^2 - 4x + 8 it's still a quadratic function mapping x on to f(x) and looks like this:

.

It's just a quadratic function mapping x on to f(x):

.

Probability of phone #1 not ringing = 1 - 0.89 = 0.11

Probability of phone #2 not ringing = 1 - 0.64 = 0.36

Hence probability of neither ringing (assuming the above probabilities are independent) = 0.11*0.36 = 0.0396

1 dm = 10cm   (dm - decimetre,  cm - centimetre)

So 8dm + 30cm =  110cm  (or 11dm)

We have the points   (-1.5 , 2.5)  and ( 1.5, - 3.5)

Let's find the slope

First, subtract the y's in some order    -3.5  - 2.5 =  -6

Now......subtract the x's in the same order  =  1.5  - (-1.5)  = 3

Put the first result over the second   =  -6/3  =  2 .......this is the slope

Using either of the points - I'll use the first one -  and the slope we have

y - 2.5  = (-2)[x - (-1.5)]     this is the point-slope form  .....now, simplify this....

y - 2.5 = (-2) [ x + 1.5]

y - 2.5 = (-2)x  - 3    add 2.5 to both sides

y   = -2x - 0.5

y =  -2x - 1/2     and this is slope-intercept form

13.75*(82.03^-1)  =

13/75 / 82.03   = about 0.1676

sec s =3.0956

Using the inverse secant, we have.....

arcsec ( 3.0956)  = s   ≈  71.15°

l  1 - 2x  l   =   5x + 2

We need to solve these two equations

1 - 2x     = 5x + 2                      and      -( 1 - 2x)  = 5x + 2

                                                             -1 + 2x    = 5x + 2

add 2x to both sides                            subtract 2x from both sides

1  = 7x   + 2                                          -1    =  3x  + 2

                            subtract 2 from each side

-1  = 7x                                                 -3   = 3x

divide both sides by 7                         divide both sides by 3

-1/7  = x                 or                        -1   = x

Note  that the second solution is extraneous [it does not solve the original equation].....so.....

The only solution is  x = -1/7

Here's a graph of the solution : https://www.desmos.com/calculator/zxa5f3g7wa

2 x^2 - 5 x+ 2 y^2 - 3 y = 0

We need to complete the square on x and y

2( x^2 - (5/2)x + 25/16) + 2(y^2 - (3/2)y + 9/16)  =  50/16 + 18/16

2(x - 5/4)^2   + 2 (y - 3/4)^2   =   68/16      

2( x - 5/4)^2   + 2(y - 3/4)^2   =  17/4    divide both sides by 2

(x - 5/4)^2   + (y - 3/4)^2   =  17/8

So...the radius  = √(17/8)  = about 1.458