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3 years ago

When you divide a whole number by a decimal less than 1, the quotient is greater than the whole number. Why?

1 answer:

8 0

1 can be interpreted as a "whole" thing, and smaller than 1 is a part of a thing.

imagine: if you have some cakes and you count the number of cake pieces, those will be more than the number of cakes: as each cake will have more than one piece! (otherwise it wouldn't be called a piece!)

so the result of a division by a fraction is bigger than the original number, there are more parts than wholes in the results, as each whole has multiple parts!

for example: divide 3 cakes into pieces which are 1/4th of a cake. how many such pieces would there be? 12! more than the 3 original cakes;

is this possible to understand? tell me if not!

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2 years ago

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Delicious77 [7]

$f(x)=2x^2-4x+1$

Substitute the values of x to the equation of the function f:

$x=-1\to f(-1)=2(-1)^2-4(-1)+1=2(1)+4+1=7\\\\x=2\to f(2)=2(2^2)-4(2)+1=2(4)-8+1=1$

Therefore we have two points (-1, 7) and (2, 1).

We can calculate the slope of line l.

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

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3 years ago

Write an equation for the function

Mila [183]

Answer:

m(u) = -0.25(u +2)² +1 or -0.25u² -u

Step-by-step explanation:

The equation is fairly easily written in vertex form, as the vertex point is on a grid line intersection at (-2, 1). The parabola opens downward, so the scale factor is negative.

The vertical change from the vertex is only a fraction of a unit when u differs from the vertex by 1. It is 1 unit when u differs from the vertex by 2, so the magnitude of the vertical scale factor is 1/2² = 1/4.

Our equation will be of the form ...

m(u) = (vertical scale factor)(u - (horizontal vertex location))² + (vertical vertex location)

For this graph, the equation is ...

m(u) = -0.25(u +2)² +1

or, simplifying, we get ...

m(u) = -0.25u² -u

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3 years ago

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She started with 32 pieces.

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3 years ago

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Mashcka [7]

Answer:

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Step-by-step explanation:

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3 years ago