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Let x = .7166666....

100x then = 71.666

1000x then = 716.666

1000x - 100x   then =  716.666-71.666

900x = 645

then

x = 645/900 = 43/60

Find all values of s such that (s + 4)(s + 9) <= 0. Give your answer as an interval.

Hello Guest!

\((s + 4)\cdot (s + 9) <= 0\\ s=-4\ ,s=-9 \)

\(s\in\mathbb{ R}\ |-9\le s\le -4\)

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Let d and q be the roots of the quadratic equation x^2 + 6x - 4 = 0. Find the value of 2d^2 + 2q^2.

Hello Guest!

\( x^2 + 6x - 4 = 0\\ x=-3\pm \sqrt{9+4}\\ \color{blue}x=-3\pm\sqrt{13}\)

\(d=0.60555\\ q=-6.60555\)

\(2d^2+2q^2=88\)

  !

Here is a couple of angles labelled....   now you can calc # 3    etc   and answer the Q

Two parabolas are the graphs of the equations y = 2x^2 - 10x - 10 and y = x^2 - 4x + 5. Give all points where they intersect. List the points in order of increasing -coordinate, separated by semicolons.

Hello Guest!

\(2x^2-10x-10=x^2-4x+5\\ x^2-6x-15=0\\ x=3\pm \sqrt{9+15}\\ \)

  \(x=3\pm \sqrt{24}\)                 \(y = x^2 - 4x + 5\)

\(P_1(-1.899, 16.202)\ ;\ P_2(7.899,35.798)\)

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Slope intercept form for a line is

     y = m x + b      where m is the slope of the line   and b is the y-axis intercept of the line ( +3 for this line)

Express (30 + 19i)/(4 + 5i) in the form a + bi, where a and b are real numbers.

Hello Guest!

\(\frac{30+19i}{4+5i}\cdot \frac{4-5i}{4-5i}\\ =\frac{120-150i+76i+95}{16+25}\\ =\frac{215-74i}{41}\\ \color{blue}=5.244-1.8i \)

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Thnaks, Guest!

The line y= -11/2*x + 2 is exactly 3 units away from two other lines parallel to it. The distance in units between the y-intercepts of these two other lines is?

Hello Guest!

\(\Delta y=\large \frac{3}{sin(90°-atan(-\frac{11}{2}))}\)

\(\Delta y=16,77\)

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That's not a rectangle now is it?

Multiply numerator and denominator by    2-2i

The smallest 5-digit palindrome =10901 mod 11 =0. [1 + 0 + 9 + 0 + 1]=11

The largest 5-digit palindrome =96569 mod 11 =0. [9 + 6 + 5 + 6 + 9] =35

thank you!

The smallest number =1752

1752 mod 12 ==0

Where is NL (Netherlands?) and what is the sales tax % ?

Sorry....your question says 24 and 36      I did 24 and 32 for some reason (and also included 12 for some reason) ....sometimes get answers wrong when I am answering and cannot see the Q on the same screen.....   D'Oh!

1 2 3 4 6 12   

    MW      WM     MWW

I don't see any other option.

Stupid question

                                                               

wait it doesnt say that 

Day 0    2      4      6     8

        3     9     27    81    243

thank you!

1 2 3 4 6 8 12

[(45/7) / 140]^1/2 =3 / 14 - Common ratio

a = 3 / 14 * 140 = 30 - 2nd term.