All categories

3 years ago

why do whole numbers raised to an exponent get greater while fractions raised to an exponent get smaller?

2 answers:

8 0

Any number above 1 gets greater, below 1 smaller (when above 0), while 1 itself remains the same. Negative numbers are more unpredictable.

8_murik_8 [283]3 years ago

8 0

Answer:

Because whole numbers are greater than 1 and any number greater than 1 multiplied by it self several times result in a greater number, but proper fractions are numbers less than 1, and a number less than 1 multiplied by it self several times result if a smaller number.

Explanation:

Whole numbers are raised to an exponent , means that such number is multiplied by itself (as many times and the exponent is).

Whole numbers are 1, 2, 3, 4, ....

Number 1 is a special case. When 1 is multiplied by it self the result is 1.

When other whole number (2, 3, 4, 5, ...) is multiplied by it self the result is a greater number. For example, 2 × 2 = 4, 3 × 3 = 9, and so on.

On the other hand, proper fractions, which are those whose numerator is less than the denominator, are less than one, and any number less than 1 multiplied by it self results in a smaller number.

For example: 1/2 × 1/2 = 1/4 or 0.5 × 0.5 = 0.25. This is always true for any proper fraction (a number less than 1).

You might be interested in

What is the solution to -x2 + 5x - 10 = 0?

Korolek [52]

Answer:

No solution

Explanation

−x^2+5x−10=0

Step 1: Use quadratic formula with a=-1, b=5, c=-10.

you plug it in as shown below

and simplify

when you simplify

you get

as shown below

This is no solution....

7 0

2 years ago

(Please correct answers only) (Will mark brainliest)

sergij07 [2.7K]

The answer is B., valid because people were chosen randomly
This would make it a valid survey
Hope this helps!
;3

8 0

3 years ago

Read 2 more answers

I would like to create a rectangular vegetable patch. The fencing for the east and west sides costs $4 per foot, and the fencing

Anestetic [448]

Let the lengths of the east and west sides be x and the lengths of the north and south sides be y. the dimensions you want are therefore x and y.

The cost of the east and west fencing is $4*2*x; the cost of the north and south fencing is $2*2*y. We have to put in that "2" because there are 2 sides that run from east to west and 2 sides that run from north to south.

The total cost of all this fencing is $4(2)(x) + $2(2)(y) = $128. Let's reduce this by dividing all three terms by 4: 2x + y = 32.

Now we are to maximize the area of the vegetable patch, subject to the constraint that 2x + y = 32. The formula for area is A = L * W. Solving 2x + y = 32 for y, we get y = -2x + 32.

We can now eliminate y. The area of the patch is (x)(-2x+32) = A. We want to maximize A.

If you're in algebra, find the x-coordinate of the vertex of this quadratic equation. Remember the formula x = -b/(2a)? Once you have calculated this x, subst. your value into the formula for y: y= -2x + 32.

Now multiply together your x and y values to obtain the max area of the patch.

If you're in calculus, differentiate A = x(-2x+32) with respect to x and set the derivative equal to zero. This approach should give you the same x value as before; the corresponding y value will be the same; y=-2x+32.

Multiply x and y together. That'll give you the maximum possible area of the garden patch.

5 0

3 years ago

What is the vaule of 12(3x+5x),when x=7

german

Fist plug in 7 in to the X values like so 12 (3 (7) +5 (7)) then solve in side the parenthesis 3×7 =21 and 5×7=35 then add them 35+21=56 and then you are left with 12(56) or 12×56= 672

8 0

3 years ago

A bungee jumper leaps from the top of the building that is 420 feet tall and falls at an average rate of. 95 feet per second. At

vredina [299]

Answer:

I need the question in order to answer.

Step-by-step explanation:

It is cut off at the last sentence and we cant see the question.

3 0

2 years ago