All Answers 356004 Answers

BC = 21/5.

The maximum possible value of N is 111.

This is easy if you use vectors.

Wellll.....    xy = B     (2)(8) = B = 16

then  A (2²) + 16 = 8     solve for 'A'

Yep, I sure did !       I seem to miss those tiny ' - ' signs pretty regularly 

             Thanx for checking my math, BuilderBoi !   

1) x = \(\pm \mbox{ } 4\)

2) x = 4

3) 6x = 4 | :6

     x  = 2/3

4) 2y = 0 | : 2

      y = 0

5) 7(a + 3) = 3a + 27 | distribute

    7a + 21 = 3a + 27 | - 21

           7a  = 3a + 6   | - 3a

            4a = 6           | : 4

              a = 3/2           

total number of committees = \(\binom{20}{4} = 4845\)

number of committees without any boys = \(\binom{10}{4} = 210\)

probability: \(1 - \frac{210}{4845} = \frac{4635}{4845} = \boxed{\frac{309}{323}}\)

\(1 \frac{1}{2} + 2.51 + 1 \frac{17}{20}\)

\(= 1.50 + 2.51 + 1.85\)

\(= \boxed{\$5.86}\)

considering only the time Nathan was actively working on the problem, he worked for 1 5/6 + 1 1/3 = 1 5/6 + 1 2/6 = 2 7/6 = 3 1/6 hours.

7299 m0d 3^2 ==0

7300 m0d 5^2 ==0

7301 mod 7^2 ==0

multiply the first one by 2 

multiply the second one by 5

add them together

sove for x

sub x value back into either equation to solve for y

What is the largest number c?

Hello Guest!

\(2x^2 + 5x + c = -x^2 + 12x + 18\\ 3x^2-7x-18+c=0\ |\ /3\\ x^2- \frac{7}{3}x+\frac{c-18}{3}=0\\ x=\frac{7}{6}\pm \sqrt{ \frac{ 49}{36}-\frac{c-18}{3} }\)

\(\frac{ 49}{36}-\frac{c-18}{3}\geq 0\\ 147-36c+648\geq 0\\ 36c\leq 795\\ \color{blue}c\leq 22\frac{1}{12}\)

\(The\ largest\ number\ c\ is\ \color{blue}22\frac{1}{12}.\)

  !

Total Num = 402
Total Sum =1503

Subtract the first equation from the second one, term by term, to get a nice simple expression for x + y.  Rearrange this to get y in terms of x and substitute the result back into one of the two original equations.

All quetions are welcome here. But obviously if it is not maths you are less likely to get an answer.

What is the result?

Hello Guest!

\(18 + 5x^2 = 80x\ |\ /5\\ x^2-16x+3.6=0\\ x=8\pm \sqrt{64-3.6}=8\pm 7.772\\ x\in \{15.772,0.228\}\)

\(16\cdot 0=0\)

The result is Null.

  !

What is the value of x?

Hello Guest!

x + 2x + 8x = 180°

11x = 180°

x = 180° / 11

x = 16.4°

  !

Hello Guest!

There you will find the solution:

Remainder of f(x) R(x) when divided by x(x-1)(x-2) must be polynomial of lower degree than x(x-1)(x-2).

Let R(x) be ax² + bx + c.

f(0) = 4 => R(0) = 4 = c

f(1) = -5 => R(1) = a + b + c = -5 = a + b = -9

f(2) = 10 => R(2) = 4a + 2b  + c = 10 = 4a + 2b = -14

a + b = -9, 4a + 2b = -14

a = 2, b = -11

R(x) = 2x² - 11x + 4.

https://web2.0calc.com/questions/if-we-express-3x-2-2x-4-in-the-form-a-x-h-2-k-then-what-is-k 

already answered (EP)

2__ = 2 + N + N = 16

14 = N + N

So the last two digits are equal to 14.

259

268

277

286

295

There are 5 numbers between 200 and 300 that the sum of their digits are equal to 16.

(x, y) = (0.5, 0.6)

Here you go!

totally forgot alll about that lol

thanks you for reminding me!

\([asy] size(6cm); pair A,B,C,D,O; A=(0,9); D=(12,0); B=(5,5); C=(5,1); draw(A--O^^O--D,dashed); draw(A..(A+B)/2+(0,-1)..B--C); draw(rightanglemark(D,O,A,20)); dot(Label("A",A,N)); dot(Label("B",B,N)); dot(Label("C",C,W)); dot(Label("D",D,E)); dot(Label("O",O,S)); label("9 feet",A--O,W); label("12 feet", D--O,S); label("4 feet",B--C,E) ; [/asy]\)doesn't work