All categories

4 years ago

The sum of five consecutive integers is five. What is the product of the five integers?

Mathematics

1 answer:

nadya68 [22]4 years ago

3 0

Answer:Let n = the smallest integer

Then the other integers are n+1, n+2, n+3 and n+4

Sum = n + n+1 + n+2 + n+3 + n+4 = 5n + 10 = 5(n + 2)

So the sum is always divisible by 5, for any value of n

Step-by-step explanation:

You might be interested in

Encrypt the word TO using an alphabetic Caesar shift cipher with shift 10 (mapping A to K). Use only capital letters in your ans

Lady bird [3.3K]

Answer:

Step-by-step explanation:

TO ENCRYPT TO USING CAESAR ALPHABETIC SHIFT CIPHER OF 10. THIS MEANS WE'RE EXPECTED TO LOOP EVERY ALPHABET BY 10, SKIPPING EVERYONE TILL WE GET TO THE TENTH.

TO ENCRYPT T, WE HAVE

T = U - V - W - X - Y - Z - A - B - C - D

THEREFORE, T WILL BE ENCRYPTED AS D

TO ENCRYPT O, WE HAVE

O = P - Q - R - S - T - U - V - W - X - Y

HENCE, O WILL BE ENCRYPTED AS Y.

THIS MEANS THAT OUR QUESTION, TO, WILL BE ENCRYPTED AS DY

4 0

3 years ago

Type the correct answer in each box. Use numerals instead of words.

Natali5045456 [20]

Given:

Consider the given function is $f(x)=-(x+1)(x-3)(x+2)$ .

To find:

The remaining zero and y-coordinate of y-intercept.

Solution:

We have,

$f(x)=-(x+1)(x-3)(x+2)$

For zeros, $f(x)=0$ .

$-(x+1)(x-3)(x+2)=0$

$(x+1)(x-3)(x+2)=0$

$(x+1)=0,(x-3)=0,(x+2)=0$

$x=-1,x=3,x=-2$

So, three zeros of given function are -1, 3 and -2.

Putting x=0 in the given function, we get

$f(0)=-(0+1)(0-3)(0+2)$

$f(0)=-(1)(-3)(2)$

$f(0)=-(-6)$

$f(0)=6$

So, the y-coordinate of y-intercept of the given function is 6. It means the y-intercept is at point (0,6).

Therefore, the zeros of the function $f(x)=-(x+1)(x-3)(x+2)$ are –1, 3, and -2 and the y-intercept of the function is located at (0,6).

7 0

3 years ago

What are the symptoms of AIDS???????

Vikentia [17]

It requires a medical diagnosis, but flu- like symptoms can occur. Fever, Sore throat, and fatigue can occur. Some symptoms are weight loss, fever or night sweats, and recurrent infections.

5 0

3 years ago

What sequence is modeled by the graph below?

Lady bird [3.3K]

ANSWER

$a_n= \frac{1}{2}( {2}^{n - 1} )$