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2 years ago

The product of two positive consecutive integers is 132. find the integers.

1 answer:

4 0

X(x+1) = 132
x^2+x = 132
x^2+x-132 = 0

Factoring this gets you

(x+12)(x-11) = 0

x = 11 only because x = -12 is negative and you’re looking for positive integers

x+1
11+1
12

The two integers are 11 and 12

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Nces

saul85 [17]

Answer:

d. am

Step-by-step explanation:

nces am late for the movie last we night :3

8 0

2 years ago

There are 24 books on the bookcase 3/4 of these books are science fiction how many books are science fiction

jok3333 [9.3K]

Answer:

18 of the books are science fiction.

Step-by-step explanation:

24/4 = 6

Science fiction - 6+6+6 = 18

Not science fiction - 24 - 18 = 6

7 0

3 years ago

1)How many ways can the letters in the word BOOKKEEPER be arranged? (Must show set-up )

sergeinik [125]

Question 1

There are 5 letters (B, O, K, E, R) and there is a total of 10 letters to make up the word.
There are $\frac{10!}{(10-6)!6!}$ ways of arranging the letters, which equal to 210 ways

Question 2

There are seven swimmers in total.
There are $\frac{7!}{(7-1)!1!}$ ways of choosing the first winner, which is 7 ways
There are $\frac{6!}{(6-1)!1!}$ ways of choosing the second winner, which is 6 ways
There are $\frac{5!}{(5-1)!1!}$ ways of choosing the third winner, which is 5 ways
There are 7×6×5=210 ways of choosing first, second, and third winner

Question 3

The probability of eating an orange and a red candy is $\frac{15}{31}$ × $\frac{9}{30}$ , which equals to $\frac{9}{62}$

The probability of eating two green candies is $\frac{7}{31}$ × $\frac{6}{30}$ which equals to $\frac{7}{155}$

3 0

3 years ago

Find the volume of a cylinder with a diameter of 8 inches and a height that is three times radius

ollegr [7]

Answer:

96π^2 = 947.48

Step-by-step explanation:

π × r² × h

8π times 3*4*π

6 0

3 years ago

Read 2 more answers

PLEASE HELP Which expression represents the difference quotient of the function f (x) = negative StartRoot 2 x EndRoot?

natali 33 [55]

Answer:

c is the correct option

Step-by-step explanation:

from,

f'(x) = h >0 f(x + h) - f(x)

f(x) = - √2x

f(x + h) = - √(2x + h)

f'(x) = h>0 -√(2x + h) - √2x

rationalize the denominator

= h>0 -√(2x + h) + √2x (-√(2x + h) - √2x)

h (-√(2x + h) - √2x)

= h>0 4x + 2h - 4x

h(-√(2x + h) -√2x)

= h>0 2h

h(-√(2x+h) - √2x)

= h>0  2 

-√(2x+h) - √2x

5 0

3 years ago

Read 2 more answers