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Find C such that 8x^2 - 13x + c = 0 has two real roots.

Hello Guest!

\(8x^2-13x+c=0\)

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

\(b^2> 4ac\\ 169> 32c\\ \color{blue}c\in\{0,1,2,3,4,5\}\)

The product of all positive integer values of c such

that 8x^2 - 13x + c = 0 has two real roots is 120.

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What is angle E?

Hello Guest!

E=180°-40°-(180°-117°)

E=77°

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Graph the line that passes through the points (6,−2) and (8,3) and determine the equation of the line.

Hello Guest!

\(m=\frac{y_2-y_1}{x_2-x_1}=\frac{3-(-2)}{8-6}\)

\(m=\frac{5}{2}\)

\(y=m(x-x_1)+y_1\)

\(y=\frac{5}{2}(x-6)+(-2)\)

\(y=\frac{5}{2}x-17\)

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https://web2.0calc.com/questions/help-please-thx_4#r4

https://web2.0calc.com/questions/help-please-thx_4#r4

Find unit cost

429 / 300 = 1.43 cents per gram

100g  *   1.43 c/g  = 143 cents     ( or  $1.43)

1000g  *  1.43 c/gm = 1430 cents

2000c / 1.43 c/g = 1398.60 g

What is the largest value of x such that (x + 1)/(7x^2 - 50x + 7) is not defined?  

To be undefined, the denomitor has to equal zero. 

Factor 7x² – 50x + 7 and obtain (7x – 1)(x – 7) then set each factor equal to zero. 

7x – 1 = 0  therefore  x = 1/7  

  x – 7 = 0  therefore  x = 7   

You want the larger value, so your answer is x = 7  

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Thx for the effort but it's wrong do u know if there's another method?

11 +   x-3   =    2x-2

10 = x

Factors of    -11     are    1   -11     and     -1  11

(7x+1)(x-11)

(7x-1)(x+11)

(7x-11)(x+1)

(7x+11)(x-1)           n can then be      -76   76   -4   +4     

(x + 13)^2 = (3x + 7)(2x + 4) =

x^2 + 26x + 169   =  6x^2 +26x +28

5x^2 = 141`

x^2 = 141/5

Multiply equation 1 by 2

-2z-2y-2z = -16   add to equation 3

-2y = -12     y = 6

sub this into equation 2

-4x+5z = -17     and multiply equation 3 by 2

4x +4z = 8      add these equations

9z = -9       z = -1

sub in this result to equation 3

2x + 2(-1) = 4

x = 3 

Salt in 8% solution = .08 ( 200) = 16

How many cc are needed to make 12% with starting 16

.12 x = 16

x = 133.33 cc        so     200 - 133.33 = 66 2/3 water to be evaporated

distance formula

(x1-x2)^2   + (y1-y2)^2 = d^2

(4-1)^2     + ( x-3)^2 = 5^2

9              +  (x-3)^2 = 25

(x-3)^2 = 16

x-3 = 4

x = 7

x = three length

x + x + x     +   x+15    + x+15   = 250

5x +30 = 250

5x = 220

x = 44    x+15 = 59 cm

oh yeah someone already answered that my bad that was my account

Find the equation of a line in slope-intercept form that

passes through the point (4, -1) and is // to the line y = 1/2x - 3.

Hello SmartMathMan!

\(m=\frac{1}{2}\)

\(y=m(x-x_1)+y_1\\ y=\frac{1}{2}(x-4)-1\)

\(y=\frac{1}{2}x-3\)            b)

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https://web2.0calc.com/questions/please-help_39795

Thank you asinus! It's kind of embarrassing but I kept trying to solve this and getting it wrong.

10000

2-1 = 1

4-3 =1

6-5 =1

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20 000 - 19999 = 1         10,000  ones = 10 000

Try this:  751 x 93 =69,843

Sum_n  =    a(rⁿ-1) / (r-1)         a = 1/4       r = 1/2     Sum = 63/128      

sub in these values and solve for 'n'.....     Let me know if you get stuck