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storchak [24]
4 years ago
6

The value y is a function of x if for each element x in the domain, there is/are how many value(s) of y in the range?

Mathematics
1 answer:
viva [34]4 years ago
8 0
In a function f(x):

set of all the values that x can take is called the domain of the function.

Set of all the values that f(x) (or y) can take is called the range of the function.

Range can have either finite or infinite number of values depending on the function its domain.

For example, f(x) = x^2
can have infinite number of values in range.

whereas :
f(x) = [x] , 0<x<10
where [x] is the greatest integer function,

has finite number of values in its range.
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11. The total area of a quilt is defined as the equation: A = x² + 13x + 36. Find the possible side
Luda [366]

Answer:

(x + 9)(x4)

Step-by-step explanation:

A =  {x}^{2}  + 13x + 36 \\  \\  =  {x}^{2}  + 9x + 4x + 36 \\  \\  = x(x + 9) + 4(x + 9) \\  \\  = (x + 9)(x+4)

So, the possible side

lengths of the quilt are (x + 9) and (x + 4) units.

3 0
3 years ago
Reinhardt Furniture Company has 40,000 shares of cumulative preferred 2% stock, $150 par and 100,000 shares of $5 par common sto
Ann [662]

Answer:

for year 1

common stock =  $1.75 per share

preferred stock  = Zero

for year 2

common stock =  $4.25 per share

preferred stock  = $0.3 per share

for year 3

common stock =   $3 per share

preferred stock  =  $2 per share

Step-by-step explanation:

step 1

preferred stock value =  (40000 shares * $150) = $6000000

common stock value  = (100000 shares * $5) = $500000

 step 2

For year 1:

Dividend on preferred stock;

\frac{6000000 * 2}{100} = $120000

But total dividend in the question was $70000 therefore total amount of  dividend on cumulative preferred stock is $70000.

hence, dividend per share

= \frac{70000}{40000 shares} = $1.75 per share

Dividend on common stock;

70,000 - 70,000 = Zero

as total dividend distributed in year 1 is insufficient for cumulative preferred stock therefore no dividend will be paid on common stock.

For year 2:

Dividend on cumulative preferred stock;

\frac{6000000 * 2}{100}= $120000

extra dividend of year 1 ($120000 - $70000) = $50000

Thus total dividend on cumulative preferred stock

($120000 + $50000) = $170000

So dividend per share

\frac{170000}{40000\ shares}= $4.25 per share

Dividend on common stock;

($200000 – $170000) = $30000

dividend per share

\frac{30000}{100000\ shares} = $0.3 per share

For year 3:

Dividend on cumulative preferred stock;

\frac{6000000 * 2}{100} = $120000

total dividend on cumulative preferred stock $120000

dividend per share

\frac{120000}{40000 shares} = $3 per share

No dividend was extra in the year 2 therefore only available dividend of this year will be paid.

Dividend on common stock;

($320000 – $120000) = $200000

dividend per share

\frac{200000}{100000\ shares}= $2 per share

3 0
3 years ago
When is the sum of two rational numbers with different signs positive?
Delvig [45]
When the sign of the number with the greatest absolute value is positive
7 0
3 years ago
I need the answer and the work (it’s geometry)
Kisachek [45]

Answer:

D

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The starting point is B and the ray extends towards A.

So the asnwer is D.

6 0
4 years ago
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