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3 years ago

Product is -42 and sum is 1 What are the two numbers

Mathematics

2 answers:

Aleksandr [31]3 years ago

6 0

The answer is 7 and -6

podryga [215]3 years ago

3 0

Answer:

The numbers are 7, (-6)

Step-by-step explanation:

Let one number be x

So, other number = 1 - x

x*(1 -x) = -42

x - x² = -42

0 = -42 -x +x²

x² - x - 42 = 0

x² + 6x - 7x - 7*6 = 0

x(x + 6) -7 (x + 6) = 0

(x + 6)(x - 7) = 0

x + 6 = 0 ; x - 7 =0

x = -6 ; x = 7

The numbers are 7, (-6)

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A manufacturer produces bolts of a fabric with a fixed width. A quantity q of this fabric (measured in yards) that is sold is a

BigorU [14]

Answer:

$R'(20) = 2000$

Step-by-step explanation:

We are given the following in the question:

Quantity, q

Selling price in dollars per yard, p

$q=f(p)$

Total revenue earned =

$R(p)=pf(p)$

f(20)=13000

This means that 13000 yards of fabric is sold when the selling price is 20 dollars per yard.

f′(20)=−550

This means that increasing the selling price by 1 dollar per yards there is a decrease in fabric sales by 550.

We have to find R'(20)

Differentiating the above expression, we have,

$R'(p) = \displaystyle\frac{d(R(p))}{dp} = \frac{d(pf(p))}{dp} = f(p) + pf'(p)$

Putting the values, we get,

$R'(p) = f(p) + pf'(p)\\\\R'(20) = f(20) + 20(f'(20))\\\\R'(20) = 13000 + 20(-550) = 2000$

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4 years ago

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Bogdan [553]

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2 years ago

The value of n is both 5 times as much as the value of m and 36 more than the value of m. What are the values of n and m? Explai

tia_tia [17]

N = 5m
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3 years ago

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Answer:

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Step-by-step explanation:

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