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3 years ago

How is multiplication using partial products different from multiplication using regrouping? How are they similar?

Mathematics

1 answer:

s2008m [1.1K]3 years ago

5 0

They are the same thing u multiply in both of them I think

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Super Dave Osborne stands at the bottom of a canyon elevation 256 feet below sea level, he throws a piano up at a velocity of 3

fgiga [73]

Answer:

The piano was in the air for 18.34 seconds.

Step-by-step explanation:

The height of the piano after t seconds is given by the following equation:

$f(t) = -16t^{2} + 320t - 256$

Initially, the piano is below the ground level. At the first root of the equation, it will go into the air, and then some time after that it will fall down again, which is at the second root of the equation.

Roots of a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$f(t) = -16t^{2} + 320t - 256$

$a = -16, b = 320, c = -256$

$\bigtriangleup = (320)^{2} - 4*(-16)*(-256) = 86016$

$t_{1} = \frac{-320 + \sqrt{86016}}{2*(-16)} = 0.8348$

$t_{2} = \frac{-320 - \sqrt{86016}}{2*(-16)} = 19.17$

Subtracting:

19.17 - 0.8348 = 18.34

The piano was in the air for 18.34 seconds.

6 0

3 years ago

What is the solution to 5(2x+6)=-4(-5-2x)+3

Gnesinka [82]

Answer:

$- \frac {7}{2}$

7 0

2 years ago

6.3r < -45.36 which graph shows the correct soultion

skelet666 [1.2K]

6.3 r < -45.36

Here first we have to solve for r and for that we need to get rid of 6.3 .

To get rid of 6.3, we divide both sides by 6.3 that is

r < -7.2

So the solution is all the values which are less then -7.2

And for graph, we put a blank circle or a parenthesis that is () on -7.2 and extend a line to the left side since the inequality is less then .

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3 years ago

Jim wants to purchase a used boat. The price is $8,000 cash or 1,200 down and 18 monthly payments of $429.00.Jim decided to fina

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4 years ago

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What do members of a population have in common? Select all that apply

vovangra [49]

ABD and i think maybe E

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