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marishachu [46]
3 years ago
6

2 consecutive odd integers whose product is 63

Mathematics
1 answer:
il63 [147K]3 years ago
4 0

Answer:

The two numbers are 7 and 9; -7 and -9 is an alternative answer.

Step-by-step explanation:

Let the two consecutive odd integers be represented by x and (x+2).  Then x(x+2) = 63, or x^2 + 2x - 63 = 0, or (x-7)(x+9) = 0.  Then, x is either 7 or -9.  Check:  Does (7)(9) = 63?  YES

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Please help me answer this question!
dedylja [7]
Just multiply and simplify that is your best bet

6 0
3 years ago
The profit function for a product is given by p(x)=-x^3+3x^2+900x-2100, where x is the number of units produced and sold and P i
nalin [4]

Answer:

x = 30 and x = 3 both solve the equation correctly. See work below.

Step-by-step explanation:

The very first step is to realize that p(x) is in hundreds of dollars and that the given number is not. 60000 is not in hundreds of dollars. It is in dollars. 60000 dollars = 60000/100 = 600 hundreds of dollars.

Make the polynomial = 600

-x^3+3x^2+900x-2100 = 600  Subtract 600 from both sides

-x^3+3x^2+900x-2100 - 600 = 0  Combine

-x^3+3x^2+900x- 2700 = 0           Group  the first and second term and the Thrid and fourth terms.

(-x^2 + 3x^2) + (900x - 2700) = 0  Bring out the common factors from both groups.

-x^2(x - 3) + 900(x - 3) = 0 Factor out x - 3 on both sides of the plus sign

(- x^2 + 900)(x - 3) = 0       Reverse -x^2 + 900 to  900 - x^2

(900 - x^2)(x - 3) = 0          factor (900 - x^2) using the difference of squares

(30 - x)(30 + x) (x - 3) = 0

The two answers that work are

30 - x = 0                           Solve

- x = - 30                            Divide by - 1

-x/-1 = -30/-1                       Combine                          

x  = 30

============

x - 3 = 0

x = 3

===========

There are two values that will work to give p(x) = 600. There is no way to account for why both values work.

The graph below confirms both answers.


3 0
3 years ago
What is the value of 34 + 3.5(−44÷2)? <br><br>a.−111 <br><br>b.−43 <br><br>c.43 <br><br>d.111
mart [117]

Answer:

b

Step-by-step explanation:

-44÷2=-22

34+3.5*-22= -43

5 0
2 years ago
Write an equation for an exponential growth function where the initial population is 74 and the population quadruples during eac
Liono4ka [1.6K]
If the population quadruples every period say hour, that means the "rate of growth" is 300%, so whatever the current amount, increased by 3 times as much is 4 times the current amount, or a quadrupled amount.

\bf \qquad \textit{Amount for Exponential Growth}\\\\&#10;A=I(1 + r)^t\qquad &#10;\begin{cases}&#10;A=\textit{accumulated amount}\\&#10;I=\textit{initial amount}\to &74\\&#10;r=rate\to 300\%\to \frac{300}{100}\to &3.00\\&#10;t=\textit{elapsed time}\\&#10;\end{cases}&#10;\\\\\\&#10;A=74(1+3)^t\implies A=74(4)^t
6 0
3 years ago
A store sells two brands of hand lotion. Brand X costs $3.25 for 5 fluid ounces.
olga_2 [115]

Answer:

\frac{3,25}{5}=0,65 \\ for brand x for 1 fluid ounces

\frac{6}{8}=0,75 for brand y

0,75-0,65=0,1

Brand x costs $0,1 less

Step-by-step explanation:

3 0
3 years ago
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