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5% increase

$ 1500 * 1.05 = $ ...........

\(h(t) = -16t^2 + 100t + 280\)

Maximum height is at -b/2a = -100/(-32) = 3.125 seconds. Plug that in:

\(h(3.125) = \boxed{136.25}\).

Part B

Use the quadratic formula to find the roots of the quadratic. We get t = -2.0966 or 8.3466. Time can't be negative, so the cannonball is in the air for 8 seconds.

Max height will occur at   t = - b/2a     where    a = -16    b = 100

   use this valueof 't' in the equation to calculate the height max

when the cannon ball strikes the ground h = 0

0 = - 16t^2 + 100 + 280     Use Quadratic Formula or factoring to find  't'      (throw out negative values of 't')

Thank you:)

Thank you so much!!

10% off means Paul pays 90% of the original price

.90 * 2600 = $.............    final price

thanks

25000 * 0.63 = 15750 voters

By Vieta's Formulas, the sum of roots is \(-\frac{b}{a} = -\frac{17}{2}\) and the product of the roots is \(\frac{c}{a} = \frac{11}{2}\).

If the roots are a and b, then:

\(ab + (a + b) = \text{product of roots} + \text{sum of roots} = -\frac{17}{2} + \frac{11}{2} = \boxed{-3}\)

What am I supposed to do? The problem cuts off at $1.

1. Graphing: graph the system of equations and find the intersection points, which are the solutions.

2. Elimination. As an example:

x + 2y = 3            . (1)

3x + y = 4            . (2)

You can eliminate one variable by multiplying equation (2) by 2:

x + 2y = 3

6x + 2y = 8

-----------------

-5x = -5

By subtracting the equations, we have eliminated one variable, thus solving for the other.

3. Substitution. Let's use the same equations as last time. In equation (1), solve for x in terms of y:

x + 2y = 3            ----->        x = 3 - 2y

Plug this in the other equation:

3x + y = 4

3(3 - 2y) + y = 4

Thus, we can solve for y, and in turn, solve for x.

Yes....substitution and  elimination are two other methods...... or post on Web2.0 haha

here's the full question:

A mathematician works for $t$ hours per day and solves $p$ problems per hour, where $t$ and $p$ are positive integers and $1

The mathematician solves \(pt\) problems every day.

18 = 1 * 18, 2 * 9, 3 * 6

(x - 1)(x - 18) = x^2 - 19x + 18

(x - 2)(x - 9) = x^2 - 11x + 18

(x - 3)(x - 6) = x^2 - 9x + 18

k = 19, 11, 9

average: 13

Is your question supposed to read   ( a+b) / (b-a) ?????

They are similar triangles. We can take the ratios of the sides to find the height of the palm tree.

10/2.5 = 4, which means each side is 4 times larger 

1.5 * 4 = 6 m, which is your answer :)

Is this a test?

If so plz don't cheat. 

:)

THX,  Zenitsu  +  EP !!!!!

Can you plz show the Question?

Maybe then I can answer it. 

Oh the first time I applied the function I got 20 instead of 30,

Thanks