If the graph of f(x)= 3^x is reflected over the x-axis, what is the equation of the new graph?

Answers

Answer 1

Answer:

g(x) = - 3^x

Step-by-step explanation:

Reflection over x-axis results in:

f(x) → - f(x) translation

Therefore the new function is:

g(x) = - 3^x

Related Questions

15 divided by 1/9 please i just need 15 divided by 1/9

Answers

Answer:

135 :)

Step-by-step explanation:

15 divided by 1/9 is equal to 135.

We have,

When dividing fractions, we can invert the second fraction (1/9) and multiply it by the first fraction (15).

This concept is known as "invert and multiply."

By multiplying 15 by the reciprocal of 1/9, which is 9/1, we effectively perform the division operation and obtain the result.

Now,

To divide 15 by 1/9, we can rewrite the division as a multiplication by the reciprocal of the second fraction.

15 ÷ (1/9) is the same as 15 * (9/1).

Multiplying these fractions, we get:

15 * (9/1) = 135/1 = 135.

Therefore,

15 divided by 1/9 is equal to 135.

Learn more about expressions here:

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Which set of numbers could represent the lengths of the sides of a right triangle?
O 16, 32, 36
O 8, 12, 16
O 3,4, 5
O 9, 10,

Answers

Answer:

3,4,5

Step-by-step explanation:

Here, we want to select the set that could work and the sides of a right angled triangle

the correct answer is 3,4,5

These set are called a Pythagorean triple

This is because adding the square of the two smaller number will give the square of the largest number

What we are saying here is that by adding the square of 3 and 4, we get the square of 5 which illustrates that Pythagoras theorem works for the set

15/9 into simplest form will give brainlest

Answers

15/3. = 5

9/3. = 3

5/3 os the answer

Answer:

1 6/9

Step-by-step explanation:

9 can only go into 15 once. So 15 - 9 = 6. 6 goes on top of the 9 and you get your answer of 1 6/9

yall please help me with this math question :/​

Answers

3 chocolates bc it’s going up by 3 each time it escalates

Andre’s school orders some new supplies for the chemistry lab. The online store shows a pack of 10 test tubes costs $4 less than a set of nested beakers. In order to fully equip the lab, the school orders 12 sets of beakers and 8 packs of test tubes.

Write an equation that shows the cost of a pack of test tubes, , in terms of the cost of a set of beakers, .

Answers

Answer:

70

Step-by-step explanation:

19 = 4x + 3 *
Plz, help me with this!

Answers

Answer:

x=4

Step-by-step explanation:

19 = 4x+3

Subtract 3 from each side

19 -3 =4x+3-3

16 = 4x

Divide each side by 4

16/4 = 4x/4

4 =x

Answer:

x=4

Step-by-step explanation:

19= 4x+3

19-3= 4x

16= 4x

x= 16/4= 4

x= 4

hope it helps! please mark me brainliest

thank you!! have a good day ahead

help please i’ll give brainliest.

ΔABC is similar to ΔFED. Answer the questions to find the length of DF .


1. Which side in ΔFED does AB in ΔABC correspond to?
Write your answer in the space below.


2. Which side in ΔFED does CB in ΔABC correspond to?

Answers

Step-by-step explanation:

ΔABC is similar to ΔFED.

AB are the first 2 letters in ΔABC. Similarly, FE are the first 2 letters in ΔFED.

Hence side AB corresponds to side FE.

CB are the last 2 letters in ΔABC. Similarly, DE are the last 2 letters in ΔFED.

Hence side CB corresponds to side DE.

Answer:

1.  EF in ΔFED corresponds to AB in ΔABC.

2. DE in ΔFED corresponds to CB in ΔABC.

3. The length of DF is 10.

Step-by-step explanation:

Given: ΔABC is similar to ΔFED. Find the length of DF.

To Find: The length of side DF in ΔFED

Since, ΔFED is a right-angled triangle and also similar to ΔABC,

Applying similarity of triangles principle,

AB = 4  ,  EF = 8

BC = 3  ,  DE = 6

Now, applying Pythagorean theorem on ΔFED,

Hypotenuse² = Length² + Base²

⇒ DF² = DE² + EF²

⇒ DF² = 6² + 8²

⇒ DF² = 100

⇒ DF = √100

⇒ DF = 10

Final Answer: Hence the length of side DF is 10.

Please help it It is in photo

Answers

Answer:

its the second i hope that helped

5x-3 =2x+15
Someone pls help for geometry

Answers

Answer:

x = 6

Step-by-step explanation:

5x-3 = 2x+15

i) move 2x to the left-hand side and change its sign

5x-2x-3 = 15

ii) move -3 to the right-hand side and change its sign

5x-2x = 15+3

iii) collect like terms

3x = 15+3

iv) add the numbers

3x = 18

v) divide both sides of the equation by 3

[tex] \frac{3x}{3} = \frac{18}{ 3} [/tex]

[tex]x = 6[/tex]

Through which point must the graph of y = 4 logs (x) + 2 pass?
A. (5,6)
B. (5,8)
C. (5, 12)
D. (5, 40)

Answers

The graph of y = 4 logs (x) + 2 passes through the point (5,8).

The given equation of the graph is y = 4 logs (x) + 2

We have to find the point which passes through the graph

The equation y = 4 logs (x) + 2 can be rewritten as y = log(x⁴) + 2. Substituting x = 5 into the equation gives us y = log (5⁴) + 2

= log (625) + 2

= 8.

Therefore, the graph of y = 4 logs (x) + 2 passes through the point (5,8).

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3x+18=3(x+6)please help

Answers

The correct answer is 0

Answer: X = 4

Step-by-step explanation: Move all the terms besides X to the right side, from there you will divide each term by 3 then simplify.

Evaluate 6x - 4y when x = 5, y = 2

Answers

Answer:

22 i think :-) but I'm not sure because it was really easy so I'm not sure if understood this right

Step-by-step explanation:

6.x=

6.5=30

4.y=

4.2=8

6.5=30 4.2=8

30-8=22

Can i have some help please

Answers

Answer:

bababooey

Step-by-step explanation:

pls help you i’ll give brainliest

Answers

The answer is 6+(-4) = 2

Answer:

2

Step-by-step explanation:

it's just like saying 6-4 is two a negative is like a positive

Determine whether or not the function is linear or nonlinear.

Answers

Answer:

Nonlinear

Step-by-step explanation:

This line is not straight so it's not linear.

Linear is a straight line.

nonlinear is any line that's not straight.

Ace Carlos

HELP ILY A tree is 4 1/2 feet tall. It is expected to grow by 1 3/4
feet per year.
At this growth rate, how many years will it take for the tree to have a height greater than 40 feet? Enter the answer in the box.
years

Answers

Answer:

It will take 21 years.

Step-by-step explanation:

First, find what x would be for it to equal 40 feet. This can be done with the equation 4.5 + 1.75x = 40.

4.5 + 1.75x = 40

Subtract 4.5 from both sides. This cancels out the +4.5.

1.75x = 40 - 4.5

Subtract 4.5 from 40 to get 35.5.

1.75x = 35.5

Divide both sides by 1.75. This cancels out the *1.75.

x = 35.5/1.75

Expand 35.5/1.75 by multiply both the numerator and denominator by 100.

x = 3550/175

Reduce 3550/175 by canceling out 25.

x = 142/7 = 20 2/7

Go up by one from 20 to get the answer of 21 years.

The circumference of a circle is about 40.82 inches. What is the diameter and the radius of the circle? Round to the nearest tenth and show all work.

Answers

Answer:

Step-by-step explanation:

The diameter is 13 and the radius is 6.5

Multiple Choice


Which of the following represents a unit rate?
A. four dollars over twelve books


B. five pages over two minutes


C. eighty beats over one minute


D. seventy two inches over two yards

Answers

Answer:

c

Step-by-step explanation:

unit rate is a rate with one in the denominator

6th grade math help me plzzzz

Answers

Answer:

E. would be your answer

Step-by-step explanation:

ok so find an angle on figure A. and count how many units it takes to get to the same angle on figure B.

The average adult spends 7 to 8 hours sleeping. About 20% of the time you sleep is spent in rapid eye movement (REM) sleep which is associated with dreaming. Write and Solve a compound inequality to determine how much time is spent in REM sleep for the average adult?

Answers

Answer:

.20(7) ≤ x .20(8)

Step-by-step explanation:

let 'x' = amount of time in REM sleep

Answer:

1.4[tex]\leq[/tex] x [tex]\leq[/tex] 1.6

Step-by-step explanation:

You can start off by writing the inequality that 7(.20) is less than/equal to x which is less than/equal to 8(.20). Then, you just multiply the numbers and you have the 20% that you spend in REM sleep.

Hope this helps!

Express in the form n : 1
9:3​

Answers

Answer:

n =3

hope it helps

Answer:

3:1

Step-by-step explanation:

cut by 3

..............

The height of the roof will be 9 feet instead of 5 feet. Determine the length, in feet of the diagonal wood beams on the new roof. Find the leg. a^2 + 9^2=13^2

Answers

Answer:

√88

Step-by-step explanation:

a^2 + 9^2=13^2

a² = 13² - 9²

a² = 169 - 81

a² = 88

Take square root of both sides

a = √88

There are 25 students in the class. 36% of the students ate hotdogs for lunch. How many students ate hotdogs?​

Answers

Answer:

9

Step-by-step explanation:

25 times .36 is 9!

I hope this helps!

Answer:

36% x 25= 9

9 students ate hotdogs

Step-by-step explanation:

just find out how many students are 36% of the class, all i did was take the precent of the class and multiplied it by the number of students in the class in this case 25

(4, 2); slope = 3
write the equation of the line

Answers

Answer:

y=3x-10

Step-by-step explanation:

The population of a city is expected to decrease by 6% next year. If x represents the current population, write an expression that represents the expected population next year. ​

Answers

Given:

Current population = x

The population of a city is expected to decrease by 6% next year.

To find:

The expression that represents the expected population next year. ​

Solution:

We have,

Current population = x

Decrease rate = 6%.

Expected population next year = Current population - 6% of Current population

                                                    =[tex]x-\dfrac{6}{100}x[/tex]

                                                    =[tex]x-0.06x[/tex]

                                                    =[tex]0.94x[/tex]

Therefore, the expression for the expected population next year is 0.94x.

4 months to 8 years in ratio

Answers

Answer:

4:96

Step-by-step explanation:

It has to be the same kind of thing so...

1 year is 12 months

8 * 12 = 96

Answer:

4 months : 8 years

reduced...

1 month : 2 years

Step-by-step explanation:

HELP PLS ill mark u brainliest

Answers

Answer:

11

Step-by-step explanation:

Since angle 11 is next to angle 12, and they should add up to 180 degrees, which makes them supplementary angles.

Answer:

The person above me is right

how do you differentiate more and more than? can these terms be used in mathematics? how?​

Answers

Answer:

The terms "more" and "more than" have a clear difference, which is even more noticeable in its application in the field of mathematics.

Thus, "more" has a more general meaning, while "more than" applies specifically to comparing the values of two or more determined variables. Therefore, in the field of mathematics "more than" implies that a variable will have a higher value than another or others, while "more" simply refers to a higher value.

Find X.
Math it’s.com

Answers

Answer:

value of x = 8

Step-by-step explanation:

well here,

line x is parallel to the line measuring 18

so the two triangles are similar to each other

hence ratio of their sides are equal

so 6/ 12 = x/ 16

=》1/2 = x/16

=》 x = 16 / 2

=》 x = 8

i hope u got it

have a nice day

Answer:

x = [tex]\frac{16}{3}[/tex]

Step-by-step explanation:

The outer and inner triangles are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{6}{6+12}[/tex] = [tex]\frac{x}{16}[/tex] , that is

[tex]\frac{6}{18}[/tex] = [tex]\frac{x}{16}[/tex] ( cross- multiply )

18x = 96 ( divide both sides by 18 )

x = [tex]\frac{96}{18}[/tex] = [tex]\frac{16}{3}[/tex]

If the sales tax rate is 8%, how much tax would Luis pay for a pair of pants for $18 and two shirts for $9.99 each?

Answers

Answer:

$3.04 (rounded to nearest cent)

Step-by-step explanation:

Total cost without tax = $18 + $9.99 × 2

                                    = $37.98

Tax = [tex]\frac{8}{100}[/tex] × $37.98

      = $3.04 (rounded to nearest cent)

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