Two exponential functions are shown in the table.
х
f(x)=2*
g(x)=
1
2
2
4
1
4
Which conclusion about f(x) and g(x) can be drawn from
the table?
O The functions f(x) and g(x) are reflections over the x-
axis.
O The functions f(x) and g(x) are reflections over the y-
axis.
O The function f(x) is a decreasing function, and g(x) is
an increasing function.
O The function f(x) has a greater initial value than g(x).
1
2
OT
1
2
1
2
1
1
2
1
4
-2.
4

Answers

Answer 1
Yep exponential functions are shown in the answer 2
Answer 2

The true statement about the exponential functions is (b) the functions f(x) and g(x) are reflections over the y-axis.

The functions are given as:

[tex]f(x) = 2^x[/tex]

[tex]g(x) = (\frac 12)^x[/tex]

Reflect function over the y-axis.

The rule of this transformation is:

[tex](x,y)\to (-x,y)[/tex]

So, we have:

[tex]f(x) = 2^x[/tex]

[tex]f'(x) = 2^{-x}[/tex]

Apply power rule of indices

[tex]f'(x) = (\frac{1}{2})^x[/tex]

By comparison:

[tex]g(x) = f'(x) = (\frac{1}{2})^x[/tex]

Hence, the functions f(x) and g(x) are reflections over the y-axis.

Read more about function transformation at:

https://brainly.com/question/1548871


Related Questions

Find the product
(7x^2y^3)(3x^5y^8)

Answers

Step-by-step explanation:

First, we put the expressions in multiplication form:

(7x2y3)×(3x5y8)(7x2y3)×(3x5y8)

We multiply like terms:

(7x2×3x5)(y3×y8)(7x2×3x5)(y3×y8)

We multiply the coefficients and add the exponents:

21x2+5y3+821x2+5y3+8

Solving, we obtain:

21x7y11

Hello!

[tex]\large\boxed{21x^7y^{11}}}[/tex]

(7x²y³)(3x⁵y⁸)

Multiply by ADDING exponents with the same base:

(7 * 3) (x² * x⁵) (y³ * y⁸)

21 * x² ⁺ ⁵ * y³ ⁺ ⁸

Simplify:

21 * x⁷ * y¹¹

21x⁷y¹¹

Drag the tiles to the correct boxes to complete the pairs match the scale drawing area and the actual area to the correct scale

Answers

Answer:

[tex](a)\ r = 1in : 9ft[/tex]

[tex](b)\ r = 1 in: 15ft[/tex]

[tex](c)\ r = 1 in: 16ft[/tex]

[tex](d)\ r = 1in:4ft[/tex]

Step-by-step explanation:

Given

See comment for complete question

Required

The scale of each area

The scale ratio (r) is calculated as:

[tex]r = scale:actual[/tex]

So, we have:

(a)  scale : 13 square inches  and actual : 117 square feet

[tex]r = 13in : 117ft[/tex]

Divide by 13

[tex]r = 1in: 9ft[/tex]

(b) scale : 5 square inches  and actual : 125 square feet

[tex]r = 5in : 125ft[/tex]

Divide by 5

[tex]r = 1in : 25ft[/tex]

(c) scale : 8 square inches  and actual : 128 square feet

[tex]r = 8in : 128ft[/tex]

Divide by 8

[tex]r = 1in : 16ft[/tex]

 

(d) scale : 12 square inches  and actual : 48 square feet

[tex]r = 12in : 48ft[/tex]

Divide by 12

[tex]r = 1in:4ft[/tex]

After the increase the price of a rail season ticket from brighton to london was 2828.80 work out the price before this increase

Answers

Answer:

2720

Step-by-step explanation:

Given that,

Price of the ticket = 2828.80

To find,

The price before the increase = ?

Procedure:

Let the price before the increase be x

so,

x(100% + 4%) = 2828.80

⇒ 1.04x = 2828.80

⇒ x = 2828.80 ÷ 1.04

∵ x = 2720

Thus, the price before the increase was 2720.

Solve for X. Thank you

Answers

Answer:

x = 4

Step-by-step explanation:

The segment inside the triangle is an angle bisector and divides the opposite side into segments that are proportional to the other two sides , that is

[tex]\frac{15}{20}[/tex] = [tex]\frac{x+2}{14-(x+2)}[/tex]

[tex]\frac{3}{4}[/tex] = [tex]\frac{x+2}{14-x-2}[/tex] = [tex]\frac{x+2}{12-x}[/tex] ( cross- multiply )

4(x + 2) = 3(12 - x) ← distribute parenthesis on both sides )

4x + 8 = 36 - 3x ( add 3x to both sides )

7x + 8 = 36 ( subtract 8 from both sides )

7x = 28 ( divide both sides by 7 )

x = 4

true or false? A circle could be circumscribed about the quadrilateral below.

Answers

Answer: the answer is true

Answer:

false

Step-by-step explanation:

here the opposite angle of quadrilateral aren't supplematary the circle have no chance to be circumscribed

a. 12.4
b. 12.9
c. 8.5
d. 8.1

Answers

It would be c because it djfjfjd. F fjdjfjf

I say 8.5 not sure so c.

Someone tell me where everyone is going right please !!

Answers

Answer:

A) 100+55x > 150+51x

B) x>12.5

C)13

Step-by-step explanation:

Bc I said so lol :)

Answer:

again hello dude :D

answers are at the photos

GOOD LUCK :D

Step-by-step explanation:

greetings from Turkey ツ

In the diagram, what is AC?

Answers

find the DB =[tex]\displaystyle\bf \sqrt{17^2-8^2} =15[/tex]  ; now find AD=AB-DB=21-15=6  .Then                AC=[tex]\displaystyle\bf \sqrt{AD^2+CD^2} =\sqrt{6^2+8^2} =10[/tex]  

Answer:

C

Step-by-step explanation:

Using Pythagoras' identity in both right triangles

To find BD

BD² + CD² = BC²

BD² + 8² = 17²

BD² + 64 = 289 ( subtract 64 from both sides )

BD² = 225 ( take the square root of both sides )

BD = [tex]\sqrt{225}[/tex] = 15

Then

AD = AB - BD = 21 - 15 = 6

To find AC

AC² = AD² + CD²

AC² = 6² + 8² = 36 + 64 = 100 ( take the square root of both sides )

AC = [tex]\sqrt{100}[/tex] = 10 → C

I need someone to please explain how to turn this into a simplified fraction. (NOTE: please explain!!) __ 3.541 The repeating sign is only above the 41, not the five

Answers

the way to do these recurring decimals is by firstly separating the repeating part or recurring part and then multiply it by some power of 10 so we move it to the left, lemme show

[tex]3.5\overline{41}\implies \cfrac{35.\overline{41}}{10}\qquad \stackrel{\textit{say that the repe}\textit{ating part is }~\hfill }{x = \overline{0.41}\qquad \qquad \textit{so that }35.\overline{41}=35+\overline{0.41}=35+x}[/tex]

now, let's multiply that repeating part by some power of 10 that moves the 41 to the left, well, we have two repeating decimals, 4 and 1, so let's use two zeros, namely 100 or 10², thus

[tex]100\cdot x = 41.\overline{41}\implies 100x - 41+\overline{0.41}\implies 100x = 41+x\implies 99x=41 \\\\\\ \boxed{x =\cfrac{41}{99}}\qquad \qquad \textit{so then we can say that}~~\cfrac{35.\overline{41}}{10}\implies \cfrac{35+\frac{41}{99}}{10} \\\\\\ \cfrac{~~\frac{3506}{99}~~}{10}\implies \cfrac{~~\frac{3506}{99}~~}{\frac{10}{1}}\implies \cfrac{3506}{99}\cdot \cfrac{1}{10}\implies \cfrac{3506}{990}\implies \blacktriangleright \stackrel{\textit{which simplifies to}}{\cfrac{1753}{495}} \blacktriangleleft[/tex]

the maximum mark of 30 student is 100. if its range is 75, find the minimum mark and coefficient of range.​

Answers

Answer:

3000 ................,...

hello I’m new here ! But I’m having trouble understanding how my teacher factored out the A from a-a(1.2^4)? And made it to A(1-1.2^4)?

I attached a picture !

Thank you everyone :)


Answers

This is the distributive property:

ab + ac = a (b + c)

In this case, you have

a - a (1.2⁴)

and a is a common factor to both a and a (1.2)⁴, so you can pull it out as

a (1 - 1.2⁴)

The perimeter of a square is 16 cm. Find the length of its diagonal.​

Answers

Answer:

perimeter of a square is l+l+l+l

16+16+16+16=64

Answer:

4√2 cm

Step-by-step explanation:

Perimeter of square = 4a = 16cm

a = 16 / 4

a = 4 cm

Length of each side = 4 cm

Diagonal^2 = side^2 + side^2

= 4^2 + 4^2

= 16 + 16

Diagonal^2 = 32

Diagonal = 4√2 cm

The solutions to the equation 2x^2 + x - 1 = 2 are x = -3/2 or x = _______.

Answers

Answer:

The remaining solution to the equation is x = 1

Step-by-step explanation:

2x^2 + x - 1 = 2

First set the equation to zero by subtracting 2 from each side:

2x^2 + x - 1 - 2 = 2 - 2

2x^2 + x - 3 = 0

Factor the left side of the equation:

2x^2 + x - 3 = 0

(2x + 3)(x - 1) = 0

Now set each factor to zero and solve:

2x+ 3 = 0

2x+ 3 - 3  = 0 - 3

2x= -3

2x/2= -3/2

x= -3/2 (The given expression)

x - 1 = 0

x - 1 + 1 = 0 + 1

x = 1

Since we already knew x = -3/2, the missing solution is x = 1.

WILL MARK BRAINLIEST

Please help solve problems with common tangents.

Answers

Answer:

not sure, sorry : p

Step-by-step explanation:

Find the slope of the line that passes through (1, 2) and (8, 8).

Answers

Answer:

slope = [tex]\frac{6}{7}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (8, 8)

m = [tex]\frac{8-2}{8-1}[/tex] = [tex]\frac{6}{7}[/tex]

question is in the pucture

Answers

Answer:

Aiden earned less money for his 8th than he earned for his 4th drive.

[tex]ANSWER:C[/tex]

-------------------------------

HOPE IT HELPS

HAVE A GREAT DAY!!

A circle has a diameter with endpoints (-8,2) and (-2,6). What is the equation of the circle?

Answers

Answer:

the equation would be (x+5)2+(y−4)2=r2

Step-by-step explanation:

The equation would be

(x+5)2+(y-4)2=r2

Graph a line with a slope of 4 that contains the point (3,0). FOR 100 POINTS PLS

I DONT NEED THE EQUATION I NEED TO SEE IT GRAPHED

ALSO PLEASE PLEASE HELP ME

Answers

Answer:

Hi there!

Recall that slope-intercept form is:

y = mx + b

Where m = slope

In this instance, we are given a slope of 4,

therefore:

y = 4x + b

Substitute in the x and y coordinates of the point given:

0 = 4(3) + b

0 = 12 + b

Substract 12 from both side:

-12 = b

Therefore, the equation would be:

y = 4x - 12

Graph the equation by finding x and y values or using a calculator:

x = 0, y = 4(0) - 12 = 12 (0, 12)

x = 1, y = 4(1) - 12 = - 8 (1, -8)

x = 2, y = 4(2) - 12 = - 4 (2, -4)

x = 3, y = 4(3) - 12 = 0 (3, 0)

And so forth:

Thanks<8

is (-3,-5) a solution of the graphed inequality
Choose 1 answer:
Yes
No

Answers

Answer:

No

General Formulas and Concepts:

Algebra I

Reading a coordinate planeCoordinates (x, y)Solving inequalities

Step-by-step explanation:

When we plot (-3, -5) on the coordinate plane, we can see that it is not in the shaded region.

∴ (-3, -5) is not a solution.

Evaluate the expression. 37

Answers

Answer:

[tex]2187[/tex]

Step-by-step explanation:

[tex] {3}^{7} \\ = (3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3) \\ = 2187[/tex]

Hope it is helpful....

Answer:

2187

Step-by-step explanation:

3*3=9

9*3=27

27*3=81

81*3=243

243*3=729

729*3=2189

Solve for x. Round to the nearest tenth, if necessary.

Answers

I think x= 0.6 because

Sin60/1 = sin30/x
Sin30 x 1/sin60
X= 0.6

Write the equation of the line from the graph(serious answers only pls)

Answers

Answer:

x = -3

Step-by-step explanation:

Here, this is a vertical line

What this mean here is that the x-value remains constant irrespective of the y value

For all the y values, we have a single x-value

so what this mean is to simply locate the x-axis. value and equate it to x

We have this as;

x = -3

PLEASE HELP I'LL MARK BRANLIEST!
Activity Gina is playing dominoes with her family. She and her brother, Greg, are playing as a team (team A) against their parents (team B). The table shows how many points the two teams have scored in each round. Gina is keeping track of the scores and wants to know which measures of center and spread best represent each team’s data.

Team A: 15 20 15 5 10 15 10 15 5 20
Team B: 20 15 25 30 20 25 0 15 25 30

Part B What is the mean score for team A? Show your calculation.

Answers

Answer:

Mean of team A is 13

Step-by-step explanation:

I hope it helps:)

You want to randomly arrange 4 discs in a CD rack. What is the probability that the rack ends up in alphabetical order

Answers

Answer:

The probability is 1/24

Step-by-step explanation:

The total number of possible arrangements is;

4! = 4 * 3 * 2 * 1 = 24

Now, out of all these, there is only one possible correct alphabetical arrangement

so, to get this probability, we have to divide 1 by the total number of possible arrangements

we have this simply as 1/24

The measure of two supplementary angles are (6x+28)° and (7x+87)°. Find the value of x.

Answers

Answer:

[tex]x = - 59[/tex]

Step-by-step explanation:

[tex](6x + 28) = (7x + 87)[/tex]

[tex]6x + 28 = 7x + 87[/tex]

[tex]6x - 7x = 87 - 28[/tex]

[tex]1x = - 59[/tex]

[tex]x = \frac{ - 59}{1} [/tex]

[tex]x = - 59[/tex]

Hope it is helpful....

F(x)=sqrt x -4.find the inverse of f(x) and it’s domain

Answers

Answer:

B

Step-by-step explanation:

[tex]y = \sqrt{x } - 4 \\ \sqrt{x} = y + 4 \\ x = (y + 4) {}^{2} \\ [/tex]

Domain of inverse = Range of f = x>-4

Hence B

The correct option is B which is f⁻¹(x) = ( x + 4 )² and x ≥ -4.

What is an inverse function?

The inverse function of a function f in mathematics is a function that reverses the operation of f. If and only if f is bijective, the inverse of f is true.

A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

The given function is f(x) = √x - 4. The inverse function will be calculated as:-

y = √x - 4

√x = y + 4

Squaring on both sides.

x = ( y + 4 )²

Replace x with y.

y = ( x + 4 )²

The range of the function is x ≥ -4.

Therefore, the correct option is B which is f⁻¹(x) = ( x + 4 )² and x ≥ -4.

To know more about an inverse function follow

https://brainly.com/question/3831584

#SPJ5

which point is a solution to y>2x-1?

Answers

Answer:

B) (0,2)

Step-by-step explanation:

We substitute the values of x and y into this inequality:

2 ≥ 2(0)-1

2 ≥ 0-1

2 ≥ -1

This is true, so this is the correct point

hope this helps have a good day

Answer:

there it is

Step-by-step explanation:

In ΔCDE, the measure of ∠E=90°, ED = 28, CE = 45, and DC = 53. What ratio represents the tangent of ∠C?

Answers

Answer:  28/45

Explanation:

Angle E is 90 degrees. The segment DC = 53 is opposite this angle. Note how "DC" does not contain the letter "E". Furthermore, note how this is the largest side. So it's the hypotenuse.

The side ED = 28 is the opposite side of reference angle C, because "C" is nowhere to be found in the sequence "ED".

The side CE = 45 is the adjacent side because "E" is found in "CE".

The tangent ratio is...

tan(angle) = opposite/adjacent

tan(C) = ED/CE

tan(C) = 28/45

Translate this sentence into an equation. 144 is the product of Diego's age and 9.

Answers

Step-by-step explanation:

Represent Diego's age by d. Then 9d=144.

Write the following phrase as an expression c less than 27
A C +27
B C -27
C c/27
D 27 - C

Answers

Answer:

(D) 27 - C

Step-by-step explanation:

The "less than" means we are subtracting C from 27, so 27 - C.

Hope it helps (●'◡'●)

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