a common mistake people make when working with exponents is to multiply the base by the exponent instead of raising the base to the power of the exponent. For instance, they would mistakenly say that 2^3 is 6 (because 2x3=6) when the correct answer is actually 8 (2x2x2=8) are there any pairs of numbers for which this mistake in thinking actually gives the correct answer? In other words are there any solutions to the equation a^x=a X what are the?

Answers

Answer 1

Answer:

The pair of number are (2 and 1), (2 and 2)

Step-by-step explanation:

The pair of number that makes the expression [tex]a^x = ax[/tex] true are 2 and 2 as shown:

where a = 2 and x =2

2² = 2*2

2² = 4

and:

2*2 = 4

Hence 2²  = 2(2) = 4 making the expression [tex]a^x = ax[/tex] true for both pair of numbers

Also the number pair 1 and 2 makes the expression correct as shown:

[tex]2^1 = 2(1)\\2 = 2 (true)[/tex]


Related Questions

What is the domain of the graph below

Answers

The second option is the correct answer.
The answer is B, (-2,4) and (7,infinity)

what are the 4 different types of slopes

Answers

4 different types of slopes are negative,positive,zero and undefined

Answer:

negative,positive,zero,undefined slope

The function y=0.75x + 2 represents the cost y (in dollars) of an ice cream sundae with x toppings. A sundae comes with 1, 2, 3, or 4 toppings. Identify the independent and dependent variables, the domain, and the range.​

Answers

Answer:

Please check answer for explanation

Step-by-step explanation:

The independent variable is x

The dependent variable is y

The domain is the range of values of x

That will be 1-4

Now let’s get the range, the range just represent the y-values of the terms in the domain

at x = 1

y = 0.75(1) + 2 = 2.75

at x = 4

y = 0.75(4) + 2 = 3 + 2 = 5

The range is 2.75 to 5

nearest integer of 26

Answers

Answer:

An integer is a whole number, no decimals or fractions, and since 26 is already a integer, it can be 25, 26, or 27

Step-by-step explanation:

Answer:its 30  if you have to round it to the nearest tenth

Step-by-step explanation:

The figure shows two similar triangles
which two sets of angles are corresponding angles?​

Answers

a) angle m and angle p; angle n and angle o

The area of a square garden is approximately 125 square feet. To the nearest foot, what is the length of the garden

Answers

Answer:

About 11 feet

Step-by-step explanation:

You have to find the [tex]\sqrt{125}[/tex], which is equal to 11.18033989. You round down to 11 feet.

Which set of ordered pairs does not represent a function?
{(7,4),(-4,1),(4, -3), (-7,7)}
{(-8, -7), (4,-2), (2,9),(-8,8)}
{(-9, -2), (8, -2), (2, -5), (-8,4)}
{(-7,5), (7,9),(-3,5),(3,3)}

Answers

Answer:

{(-8, -7), (4,-2), (2,9),(-8,8)}

i will give u brainliest

Answers

Answer:

52/99.

Step-by-step explanation:

52 divided by 99 equals 0.525252. This can also be written as a fraction, which looks like this: [tex]\frac{52}{99}[/tex].

I hope this helps! Feel free to give me Brainliest if you feel this helped! :)

The Distributive Property was used to multiply 7 x 62. Put the steps in order.
1. 420 + 14
first
2. 7* (60 + 2)
fifth
3. (7 x 60) + (7 x 2)
fourth
4. 434
second
5. 762
third

Answers

Answer:

1. 420 + 14 2.434 3. (7 x 60) + (7 x 2) 4. (60 + 2) 5. 762

Step-by-step explanation:

y = 6 x = 1.5
2.6y - 2x

Answers

Answer:

12.6

Step-by-step explanation:

Y=6

x=1.5

2.6(6) - 2(1.5)

(15.6) - (3)

12.6

Answer:

12.6

Step-by-step explanation:

-substitute

2.6(6)-2(1.5)

  v         v

15.6       3

15.6-3 = 12.6

Write 3x3x4x4x3x4 using exponents
I NEED IT NOW

Answers

Answer: 3^3 x 4^3

Here you go!

3^3 x 4^3

ok brainly is asking me to put more characters in my answer so yeah im doing that

5z-12z-10=18+7z

Im not sure how to do this

Answers

Answer:

The answer is z = -2

Step-by-step explanation:

You combine like terms.

Then subtract 7z from both sides.

Add 10 to both sides.

Then divide both sides by -14. (28/-14)

Which then equals to -2

Which of the following rules describes the function graphed below? On a coordinate plane, points are at (1, 5), (2, 4), (3, 3), (4, 2). a. Output = Input c. Output = 5 · Input - 4 b. Output = Input - 4 d. Output = 6 - Input Please select the best answer from the choices provided A B C D

Answers

*see attachment

Answer:

D. Output = 6 - Input

Step-by-step explanation:

The output is the y-value, while the input is the x-value. The coordinates are represented as (x, y), and are graphed in the figure attached below.

Let's consider the function and see which rule best describes the function.

Considering the point (1, 5), the rule, output = 6 - input, applies.

Let's check it out:

Output is 5, input is 1. Substitute 1 as input into the rule, Output = 6 - input, and see if it would give you 5 as output:

Output = 6 - 1

Output = 5

If you try another coordinate pair of the function, the same rule will apply.

Therefore, the best answer is D. Output = 6 - Input

HELP PLEASE!!! A square is a quadrilateral with four equal sides and four equal angles. Determine an expression for the perimeter of a square, given that each side has a length of 7m+1/3 units.

a. 28m+4/3
b. 2(7m+1/3 + 7m+1/3)
c. 7m+1/3 + 7m+1/3 + 7m+1/3 + 7m+1/3
d. 7m+1/3^4
e. (4) x 7m+1/3

it is multiple choice

Answers

The answer a and e that what i think

Answers

-a. 28m+4/3

-b. 2(7m+1/3 + 7m+1/3)

-c. 7m+1/3 + 7m+1/3 + 7m+1/3 + 7m+1/3

-e. (4) x 7m+1/3

Look at the diagram. Which of the following is another name <2?

Answers

Answer:

Another name for angle 2 is angle DBC

Step-by-step explanation:

This is the only one in the answer choices that is correct. The order in which to follow the points to name an angle is from the endpoint, middle point, endpoint. So, D, B, C. You can also do C, B, D.

) The price of a watch is marked Rs 11,250. When it is sold allowing 20% discount,
20% profit is made. By what percent is the discount to be reduced to increase the
profit by 3%?​

Answers

Step-by-step explanation:

the first step is to find the cost price

when 20% discount=

11250*80/100= 9000

the 20% discounted price is 9000

there is still a 20% profit in this 20% discount

so Cost.Price *120/100=9000

Cost price= 7500

now its asking for discount percentage at 3% profit so first calculate price after 3% profit

7500*103/100= 7725

so discount on rs11250 required to produce 3% profit=

11250*x/100=7725

x= 68.7% discount

Find the distance between the points (7,4) and (3,7)

Answers

Answer:

3/4

Step-by-step explanation:

The distance between the two points is five.

[tex]d=\sqrt{((x2-x1)^2+(y2-y1)^2)} \\\\(x2-x1) = (3 - 7) = -4\\\\(y2-y1) = (7 - 4) = 3\\\\(-4)^2 + (3)^2 = 16 + 9 = 25\\\\\sqrt{25} =5[/tex]

Select all the equations that have the same solution as the equation 4x - 12 = 36
A 4x = 48
B 2x - 6 = 18
С
4x = 24
D
X-4 = 24
E 8x - 24 = 72

Answers

Hi :)

A) 4x = 48: x= 12
B) 2x -6 = 18 x=12


4x - 12 = 36

Add 12 to both sides
4x=36+12

Add 36 and 12 to get 48
4x=48

Divide both sides by 4
x= 4/48


Divide 48 by 4 to get 12
x=12

Hope this helps :)

The sum of two integers is -27. If one of them is 260. find the other.

I NEED THIS ASAP!!!
PLSSSSSSSSS

Answers

Answer:

-287

Step-by-step explanation:

If x + y = z, then z - y = x and z - x = y. Since 260 + x = -27, then -27 - 260 = x.

You can change the signs for a moment but you need to change them back at the end. 27 + 260 = 287, flip the signs, -27 - 260 = -287.

Find the greatest common factor of 35 and 26

Answers

Answer:

1

Step-by-step explanation:

The factors of 26 are:

1, 2, 13, 26

The factors of 35 are:

1, 5, 7, 35

The common factors are:

1

The required greatest common factor(GCF) of 35 and 26 is 1.

What is the Greatest Common Factor (GCF)?

The greatest Common Factor is defined as the greatest number that is a factor of both numbers when two numbers are involved.

A number that divides into another number completely is said to be a factor.

The numbers are given in the question, as follows:

35 and 26

We have to determine the greatest common factor of 35 and 26

Prime factorization of the numbers:

35 = 5 × 7

26 = 2 × 13

GCF(35, 26)

= 1

Hence, the required greatest common factor of 35 and 26 is 1.

Learn more about  the Greatest Common Factor here:

brainly.com/question/18905667

#SPJ2

The pre-image and image of what transformation are not congruent?
O A. dilation
O B. reflection
O C. translation .
O D. rotation​

Answers

Answer:

Option A

Step-by-step explanation:

Options B, C, and D are examples of ridged transformations. Ridged transformations are transformations that  keep the pre-image and image congruent.

A dilation would change the actual size of the pre-image to make the image, so they would be not congruent in a dilation.

Hope this helps.

The correct options are Reflection, Translation and Rotation​.

What is transformation?

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.

Reflection, Translation and Rotation​ are examples of rigid transformations, and we know that a rigid transformation is a transformation that doesn't change the size or shape of a geometric figure, a special kind of transformation that doesn't change the size or shape of a figure.

There are three different types of transformations: translation, reflection, and rotation.

Whereas,

A dilation would change the actual size of the pre-image to make the image, so they would be not congruent in a dilation, it can enlarge or shrink the image.

Hence, Reflection, Translation and Rotation​ are the transformation which preserve the preimage.

For more references on transformation, click;

https://brainly.com/question/11709244

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Which percent is represented by the diagram below?

2 area models with 100 squares. In the first model, 100 squares are shaded. In the second model, 25 squares are shaded and 75 are unshaded.

A. 1.25%
B. 12.5%
C. 125%
D. 1250%

Answers

Answer:

It is c 125%

Step-by-step explanation:

I took the test

Answer:

C on Edge 2020

Step-by-step explanation:

HELP ME PLEASE!!! I NEED HELP!!!!

Answers

Answer:

If I had to take a guess, I'd say B.

Step-by-step explanation:

which of the following options is the decimal equivalent of 2 7/9

2.8

1.5

1.6

2.7 (The seven has a line over it)

Answers

Answer: 2 . (7)

Step-by-step explanation:2 7/9 equals to 2.(7)

It is, a so called, 'repeating' decimal

`~hope i helped~

It would be 2.7 repeating
because
7/9 is .7777777777
and .777777 + 2 = 2.7777777

If the speed limit of a highway is 60 mph, which car exceeded the speed limit? Assume all the cars were traveling at a constant speed. a car that traveled 183 miles in 3 hours a car that traveled 236 miles in 4 hours a car that traveled 290 miles in 5 hours a car that traveled 342 miles in 6 hours​

Answers

I’m pretty sure it’d would be the first car because when dividing the miles by the hours they travelled you get how many miles they drove per hour so try the first car.

61mph first car, second car 59mph, third car 58mph and fourth car 57mph.

183/3=61mph

236/4=59mph

290/5=58mph

342/6=57mph

Answer:it is the fist car

Step-by-step explanation:

Because im so fudgen smart

Which number line represents the solution set for this inequality?

−9x −12 ≤ 42

Answers

Answer:

Number line 4

Step-by-step explanation:

−9x −12 ≤ 42

-9x-12+12≤42+12

-9x≤54

-9x/-9≤54/-9

x≤-6

Number line 4 will represent the solution set of given inequality

−9x −12 ≤ 42.

What is inequality?

When two numbers or algebraic expressions are in opposition to one another, this is known as an inequality. It can be expressed as greater than, greater than or equal to, less than, or less than or equal to.

Given:

−9x −12 ≤ 42

-9x-12+12≤42+12

-9x ≤ 54

-9x/-9 ≤ 54/-9

x ≤ -6

To know more about inequality please visit:

https://brainly.com/question/28823603

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Click on the convex polygon.

Answers

Answer:

The yellow one.

Step-by-step explanation:

I really just need help with part C, Also this is 50 points!

Answers

Answer:

7.01×10^14 is the answer

The shape on the left is transformed to the shape on the right​

Answers

The answer is the first one

Answer:1

Step-by-step explanation:

person credits

Stella is making the United States flag. She has blue
fabric, red fabric, and white fabric. Choose a length
for the flag. What length of blue fabric would Stella
need to make this flag? Explain your thinking.
of the length of the flag

Answers

Answer:

8 feet.

Step-by-step explanation:

I chose 20 feet for the whole length.

2/5 of 20 is 8.

Answer:

15 feet, 6 feet blue

Step-by-step explanation:

I chose 15 feet as the length of the flag. 2/5 of the total length, 15 is 6 feet in length for the blue part of the flag.\

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