geno3141

Use the  10^x  key, entering 4.7893 for x.

Graph:  f(x)  =  -1/(x - 3) + 1

This becomes a hyperbola with asymptotes at:  x = 3  and  y = 1.

Since the coefficient of the x-term is negative, it will graph in the upper-left and lower-right portions of the plane separated by the asymptotes.

As the values for x get very large, the y-values approach 1 from below.

As the values for x get very small (large negative), the y-values approach 1 from above.

As the values for x approach 3 from the left, the values for y go to positive infinity.

As the values for x approach 3 from the right, the values for y go to negative infinity.

y  =  (1/3)x - 1

To find the x-intercept, replace y with 0 and solve:  0  =  (1/3)x - 1

                                                                                       1  =  (1/3)x

                                                                                       3  =  x      --->      (3, 0)

To find the y-intercept, replace x with 0 and solve:  y  =  (1/3)(0) - 1

                                                                                       y  =  -1      --->     (0, -1)

500^-3  =  1 / 500³  =  1 / 125 000 000

If you do the division, you will find that the answer is  0.000 000 008

The ratio  1 : 2/3  =  (1) / (2/3)  =  1 x (3/2)  =  3/2

The ratio  (2/3) : (1/3)  =  (2/3) / (3/2)  =  (2/3) x (3/2)  =  1

These ratios are NOT equal.

h(t)  =  -16t² + 14t + 11

To find when the height is 9':  h(7)  =  9   --->     -16t² + 14t + 11  =  9

Subtract 9 from both sides:                                   -16t² + 14t + 2  =  0

Dividing by -2:                                                                 8t² - 7t - 1  =  0

Factoring:                                                                    (8t + 1)(t - 1)  =  0

Solving:                                                                 t  =  -1/8   or   t  =  1

Negative times are not possible, so the answer is:  t  =  1  (one second after throwing).

To find when the ball hits the ground:  the height will be 0'     --->     -16t² + 14t + 11  =  0

Divide by -1:                                                                                                16t² - 14t - 11  =  0

Factoring:                                                                                                  (8t - 11)(2t + 1)  =  0

Solving:                                                                                                t  =  11/8   or   t  =  -1/2

Answer:  1 3/8  second after throwing.

(3.54 x 10²¹) / (3 x 10¹⁴)  =  (3.54 / 3) x (10²¹ / 10¹⁴)

Divide 3.54 by 3  =  1.18.

Simplify 10²¹ / 10¹⁴ (by subtracting exponents) = 10⁷.

Therefore, the answer is  1.18 x 10⁷.

(x⁵)⁶  =  x^5 ·6  =  x³⁰

Each ticket costs $45.50 ($37.00 + $8.50).

You paid a total of $242.49, which includes a transaction fee of $14.99.

Subtracting $14.99 from $242.49, gives a value of $227.50, which is the cost of the tickets.

To find how many tickets were bought, divide $227.50 by $45.50.

$227.50 / $45.50  =  5, the number of tickets bought.

1) Is NOT a polynomial because one of the variable terms is a square root; for it to be a polynomial, the exponent of each variable must be a positive whole number (possibly zero).

2) Is a polynomial; a quintic because the highest power of a variable is 5.

3) Is a polynomial; a quadratic because the highest power of a variable is 2. (The constants may be square roots, the variables can't.)

1)  x⁴y + x²y² + 7

      The leading coefficient is 1 ( the coefficient of the x⁴y term)

       The constant term is 7.

1)  The maximum number of turns is 4, one fewer than the largest exponent.

1)  Right-end behavior:  approaches infinity.

      Left-end behavior:  approaches negative infinity.