geno3141

Since  648  =  4 x 81 x 2,

√( 648 )  =  √( 4 x 81 x 2)  =  √4 x √81 x √2  =  2 x 9 x √2  =  18√2

I don't understand how P(x) = 10/x relates to the rest of the problem, especially since you allow one of the values to be zero. Ignoring that:

Since you have 11 distinct values (0, 1, ..., 10), it is a discrete function.

Mean  =  n · p  =  11 x 0.65  =  7.15

Standard deviation  =  √ (n · p · q)  =  √ (11 · 0.65 · 0.35)  =  1.545

It's a quadratic function; do you want to know something about it?

Formula:  A  =  P[ ( (1 + i)ⁿ - 1 ) / i ]

A = Final amount         P = Amount deposited each period = $200.00

i = interest rate per period = 0.015/4 = 0.00375

n = number of periods = 4 x 10 = 40

A  =  200[ ( (1 + 0.00375)⁴⁰ - 1 ) / 0.00375 ]

A  =                            <--- calculator time!

sec(100° 0' 5")  =  1 / cos(100° 0' 5")

0.004 x 0.0001  =  0.000 000 4  =  0.000 04 % (must multiply by 100)

But 0.000 000 4  means that it will occur  1 / 0.000 000 4  =  once every 2, 500,000 times.

(The probability that you get this particular combination and the machine malfunctions.)

What is the value of 400 - 4(2)(50)?

What is the square root of that answer?

Subtract that answer from 20; divide by 4 ...

Question #1: Since you have the two points (4,2) and (6,2) that have the same height (the same y-value), the vertex will have an x-value halfway between the x-values of these points.

Question #2: Substituting y = 3 into the equations y = 5x² - 8x + 6 gives you:                  3  =  5x² - 8x + 6 --->   0  =  5x² - 8x + 3. Now use the discriminant:  b² - 4ac to get your answer (If the value is zero or positive, your answer is 'yes'; if negative, your answer is 'no').

Question #3: The complex conjugate of a + bi is a - bi (and vice versa).

Question #4: Find the discriminant of this function; if the discriminant is positive, you have two x-intercepts; if the discriminant is zero, you have one x-intercept; if the discriminant is negative, you have no x-intercepts.

Question #4:  The form is ax² + bx + c. Compare the problem to this form and pick out the values for a, b, and c.

Question #5: Replace x with zero and calculate the value.

Since there are 4 persons, divide the total amount ($3.60) by the number of persons (4).

$3.60 ÷ 4  =          <--- your answer

-x  <  -x + 7(x - 2)

-x  <  -x + 7x - 14

-x  <  6x - 14

Subtract 6x from both sides:

-7x  <  -14

Divide both sides by -7; since you are dividing by a negative, change the direction of the inequality.

   x  >  2