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3 years ago

The sum of two consecutive integers is -15. what is the product of the two integers? please help!!!!

Mathematics

2 answers:

Neporo4naja [7]3 years ago

7 0

The only pair of consecutive integers that
adds to -15 is -7 and -8 .

( -7 ) x ( - 8 ) = + 56 .

a_sh-v [17]3 years ago

7 0

X + x +1 = -15
2x +1 =-15
2x=-16
x = -8
x +1 = 76

-8 x -7 = 556

56 is the product of the 2 consecutive numbers that add up to -15.

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Express the limit as a definite integral on the given interval. lim n→[infinity] n xi ln(1 + xi2) Δx, [2, 7] i = 1

xenn [34]

Answer:

Step-by-step explanation:

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$\lim_{n \to \infty} \sum \limits ^n_{i=1} x_i \ In ( 1+ x_i^2) \Delta x , [2,7]$

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7 0

2 years ago

Is (2,1) a solution of 3y<2x+5

Allisa [31]

Answer:

yes

Step-by-step explanation:

3 0

3 years ago

Let e f (x) = x2 – 2x - 4 What is the average rate of change for the quadratic function from X = -1 tox to x = 42 Enter your ans

sammy [17]

Answer:

The average rate of change of the given function

A(x) = 1

Step-by-step explanation:

Step(i):-

Given function f(x) = x² - 2x -4

And given that x = a = -1 and x=b = 4

The average rate of change of the given function

$A(x) = \frac{f(b)-f(a)}{b-a}$

Step(ii):-

f(x) = x² - 2x -4

f(-1) = (-1)² - 2(-1) -4 = 1+2-4 = -1

f(4) = 4² -2(4) -4 = 16 -12 = 4

The average rate of change of the given function

$A(x) = \frac{f(b)-f(a)}{b-a}$

$A(x) = \frac{4-(-1)}{4-(-1)} = \frac{5}{5} = 1$

final answer:-

The average rate of change of the given function

A(x) = 1

5 0

3 years ago

Read 2 more answers

MATH DETECTIVE:

sergeinik [125]

Answer:

- 5

Step-by-step explanation:

"I am a negative integer greater than -6."

This eliminates any number that is less than -6, as well as any positive number.

0 > x > -6

"I am less than -2."

This narrows down the possible numbers to:

-5, -4, -3.

"I am not equal to -2 + (-1)"

-2 + - 1

-2 - 1

- 3

The number is not '-3'.

"I am not equal to 2 - 6."

2 - 6

- 4

The number is not -4.

Your number should be -5.

Hope this helps.

6 0

2 years ago

In a group of Explore students, 38 enjoy video games, 12 enjoy going to the movies and 24 enjoy solving mathematical problems. O

Elodia [21]

Answer:

The number of students that like only two of the activities are 34

Step-by-step explanation:

Number of students that enjoy video games, A = 38

Number of students that enjoy going to the movies, B = 12

Number of students that enjoy solving mathematical problems, C = 24

A∩B∩C = 8

Here we have;

n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) -n(A∩C) + n(A∩B∩C)

= 38 + 12 + 24 - n(A∩B) - n(B∩C) -n(A∩C) + 8

Also the number of student that like only one activity is found from the following equation;

n(A) - n(A∩B) - n(A∩C) + n(A∩B∩C) + n(B) - n(A∩B) - n(B∩C) + n(A∩B∩C) + n(C) - n(C∩B) - n(A∩C) + n(A∩B∩C) = 30

n(A) + n(B) + n(C) - 2·n(A∩B) - 2·n(A∩C) - 2·n(B∩C) + 3·n(A∩B∩C) = 30

38 + 12 + 24 - 2·n(A∩B) - 2·n(A∩C) - 2·n(B∩C) + 24 = 30

- 2·n(A∩B) - 2·n(A∩C) - 2·n(B∩C) = -68

n(A∩B) + n(B∩C) + n(A∩C) = 34

Therefore, the number of students that like only two of the activities = 34.

8 0

3 years ago