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2 years ago

X² + 2x-3

Mathematics

1 answer:

EleoNora [17]2 years ago

6 0

Answer:

x4+7x+3

Step-by-step explanation:

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Prove that the product of any two consecutive natural numbers is even.

Vitek1552 [10]

Answer with Step-by-step explanation:

Let us assume the 2 consecutive natural numbers are 'n' and 'n+1'

Thus the product of the 2 numbers is given by

$Product=n(n+1)\\\\$

We know that the sum of 'n' consecutive natural numbers starting from 1 is

$S_n=\frac{n(n+1)}{2}\\\\\therefore n(n+1)=2\times S_n............(i)$

Thus from equation 'i' we can write

$Product=2\times S_n$

As we know that any number multiplied by 2 is even thus we conclude that the product of 2 consecutive numbers is even.

6 0

3 years ago

A jacket that has a regular price of $59 is on sale at a 35% discount. What is the sale price?

sammy [17]

Answer:

The price of the jacket will be $38.35

Step-by-step explanation:

3 0

2 years ago

A student needs to make a square cardboard piece. The cardboard should have a perimeter equal to at least 92 inches. The functio

Illusion [34]

Answer:

$s\geq 23$

Step-by-step explanation:

We are given that a student needs to make a square cardboard piece.

Perimeter of cardboard should be equal to atleast 92 inches

We have to find that which shows reasonable domain for f(s)

Let s be the side of square cardboard

We know that perimeter of square =f(s=) $4\times side$

Then, perimeter of cardboard= $4s$

$4s\geq 92$

Dividing by 4 on both sides

$s\geq 23$

Hence, the domain of function $[23,\infty)$

Therefore, option d is true.

Answer:d: $s\geq 23$

6 0

3 years ago

What is the exact radian measure of an angle of 132

Pepsi [2]

Since we know that in π radians there are 180°, thus how many radians in 132°?

$\bf \begin{array}{ccll}
de grees&radians\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
180&\pi \\
132&x
\end{array}\implies \cfrac{180}{132}=\cfrac{\pi }{x}\implies x=\cfrac{132\cdot \pi }{180}\implies \stackrel{simplified}{\cfrac{11\pi }{15}}$

6 0

3 years ago

Evaluate. Write your answer as a fraction or a whole number.... what is 1/2 exponent 1

riadik2000 [5.3K]

Answer:

1/2

Step-by-step explanation:

Anything with an exponent of 1 is itself.

4 0

2 years ago