MATHEMATICS HIGH SCHOOL

Why do whole numbers raised to an exponent get bigger while fractions raised to an exponent get smaller

Answers

Answer 1
Answer:

Answer:

when you multiply a whole number by itself it will obviously get bigger.

4 to the 2nd power equals 16 because 4x4 = 16

if you were to multiply a smaller number though, it wouldn't get as big.

Each number you put to the same exponent will not get bigger at the same rate since each number isnt being multiplied by the same thing.

ex. 4 and 6 are raised to the second power both dont get multiplied by the same number 4 is multiplied by 4, and 6 by 6, therefore the bigger the number the bigger it grows.

Fractions get smaller for this reason when you have the fraction 2/3 raised to the second, both numbers must be raised. 2 to the second equals 4 while 3 to the second is 9.

1/2 to the second would then equal 1/4 since 1 to the second equals 1 and 2 to the second equals 4.

Step-by-step explanation:


Related Questions

MIDDLE SCHOOL

6.79 * 10 to the 3rd power

It's a written question. Can I have help please?

Answers

6.79*10^3

To make this the simplified (or whole) number, we need to move the decimal to the right 3 places.

6.790
  ^      ^

6,790
6,79*10^3=6,79*1000=6790
HIGH SCHOOL

What is a sampling distribution?

Answers

A sampling distribution is a probability distribution of a statistic obtained through a large number of samples drawn from a specific population. The sampling distribution of a given population is the distribution of frequencies of a range of different outcomes that could possibly occur for a statistic of a population.
A sampling distribution is a probability distribution of a statistic obtained through a large number of samples drawn from a specific population
HIGH SCHOOL

Stacy needed to fill her gas tank for a road trip. if she spent $45.87 and purchased 11 gallons how much did each gallon cost?

Answers

X=gallons
$45.87=Total


11x=$45.87
----   ---------
11       11

x=$4.17
MIDDLE SCHOOL

What is another way to write the expression ​ p⋅(10−2) ​ ?

Answers

Answer:

8p

Step-by-step explanation:

Because p(10-2)=p(8)=8p.

MIDDLE SCHOOL

Solve each equation. #8. 8z = 112 #9. d over 14 =7
#10. f over 28 = 24
#11 3a = 57

Please solve

Answers

Answer:

14

98

672

19

Step-by-step explanation:

8z = 112

=14

d/14 = 7

=98

f/28 = 24

=672

3a = 57

=19

PLS BRAINLIEST

HIGH SCHOOL

Write the equation for each transformation of f(x)= |x| described below. a. translate left 9 units, stretch vertically by a factor of 5, and translate down 23 units.

b. translate left 12 units, stretch horizontally by a factor of 4, and reflect over the x-axis.

need steps don't understand how to do!

Answers

Okay, original equation of an absolute value function is: 
a. f(x) = a |x-h| + k
a is the stretch or shrink
h is horizontal movement (watch the negative!!) 
k is vertical shift
 
Translate left 9 units means horizontal shift so the h changes. When you move to the left, the numbers become negative so y = a|x-(-9)| + k which becomes
 y = a|x+9| + k Then the vertical stretch of 5 becomes y = 5|x+9| + k And then a translation down 23 units means a negative shift down (which is your vertical shift) so:
f(x) = 5(x+9) - 23

b. translate left 12 units meaning a negative horizontal shift. y = a|x-(-12)| + k
so then it becomes y = a|x+12| + k
a stretch horizontally by 4 is your a, so y = 4|x+12| (you can just forget about the k since there is no vertical shift so your k = 0)
a reflection over the x-axis means that your horizontal axis is taken and folded and the reflection from the graph is your new graph. So basically, the whole equation becomes negative. 
y = -4|x+12|


MIDDLE SCHOOL

98 POINTS The total cost of a boat rental includes the price per hour plus the cost of one full tank of gas. The table below represents the boat rental fees. No. of Hours 2 4 6 8

Rental Fee $79 $125$171 $217


What is the cost for a full tank of gas?

A.

$23

B.

$33

C.

$46

D.

$217



PLZ ANSWER BRAINLISET AND ALOT OF POINT

Answers

the correct answer is b.33

Answer:

b

Step-by-step explanation:

HIGH SCHOOL

If f(x) = 5x, what is f–1(x)?

Answers

When you are finding an inverse of a function, you switch the x and the y and solve for the new y.  Our y = 5x, when switching x and y will be x = 5y.  Now we have to find the new y.  Dividing both sides by 5 we get .  The really cool thing about functions that are inverses of each other is that their coordinates, (x, y) are switched to.  If a point (1, 2) is on f(x), the point (2, 1) is on the inverse. And they always reflect through the line y = x.  Just a bit of info.
HIGH SCHOOL

Function 1: y = 4x + 5 Function 2: The line passing through the points (1, 6) and (3, 10).

Which of these functions has the greater rate of chang

Answers

Answer: function 1

Rate of change of function 1:
Following the format of y=mx+c, the rate of change should be m, so, the rate of change for function 1 = 4

To find the gradient (rate of change):
The two points the line passes through are (x1, y1) and (x2, y2), which in this case is (1, 6) and (3, 10)
(Doesn't matter which is which but you need to make sure that once you decide which is which, you stick to it)
To calculate the gradient, you substitute these values following (y1 - y2)/(x1 - x2)

Gradient of function 2 = (10 - 6)/(3 - 1)
= 2

Therefore, since 4 > 2, rate of change of function 1 > rate of change of function 2.
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