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3 years ago

8

Explain why multiplying a fraction by 5/6 results in a value that is less than the original fraction

1 answer:

Ivahew [28]3 years ago

5 0

Answer:

Step-by-step explanation:

(5/6) itself is less than 1 (but greater than 0). Thus, anything multiplied by (5/6) will result in a smaller-by-magnitude quantity.

For example, (5/6)(3/4) is LESS than 3/4 because 5/6 is greater than zero but less than 1.

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Please help me it’s emergency please

Lostsunrise [7]

Answer:

$1.012 \times {10}^{ - 4}$

Step-by-step explanation:

move the decimal so there is one non-zero digit to the left of the decimal point. the number of decimal places you move will be the exponent on the 10. if the decimal is being moved to the right, the exponent will be negative. if the decimal is being moved to the left, the exponent will be positive.

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3 years ago

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Write a quadratic function, in standard form, that fits the set of points. Solve it as a system of three equations. (-4, 9), (0,

Tresset [83]

Answer:

$\boxed{y=2x^2+4x-7}$

Step-by-step explanation:

Let the quadratic function be

$y=ax^2+bx+c$

We substitute $(-4,9)$ into the equation to obtain;

$9=a(-4)^2+b(-4)+c$

$\Rightarrow 9=16a-4b+c---(1)$

We substitute $(0,-7)$ to obtain;

$-7=a(0)^2+b(0)^2+c$

$\Rightarrow c=-7---(2)$

We finally substitute $(1,-1)$ to obtain;

$-1=a(1)^2+b(1)^2+c$

$\Rightarrow -1=a+b+c---(3)$

We put equation (2) into equation (1) to get;

$9=16a-4b-7$

$16a-4b=16$

$\Rightarrow 4a-b=4---(4)$

$\Rightarrow -1=a+b-7$

$\Rightarrow a+b=6---(5)$

We add equation (4) and (5) to get;

$4a+a=6+4$

$\Rightarrow 5a=10$

$\Rightarrow a=2$

We put $a=2$ into equation (5) to get;

$2+b=6$

$\Rightarrow b=6-2$

$\Rightarrow b=4$

The reqiured quadratic function is

$y=2x^2+4x-7$

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3 years ago

8qt equals gallon and qt

joja [24]

Answer:

2 Gallons

Step-by-step explanation:

1 Gallon = 4 quarts

There are 8 quarts, and 8 divided by 4 is 2.

2 Gallons.

5 0

4 years ago

-3/2t=-9 please help. its for a test

11111nata11111 [884]

$-\frac{3}{2}t=-9\\\\t=-9:(-\frac{3}{2})\\\\t=-9\cdot(-\frac{2}{3})\\\\t=\frac{18}{3}\rightarrow\boxed{t=6}$

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3 years ago

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Vadim26 [7]

Answer:

Z' = (-5,3)

Step-by-step explanation:

Move two to the (<- left) from -3,5 to get -5, 5

move two down to get -5,3

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