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

Please someone quick answer this!!!

Answers

To find a probability you take the specific parameters divided by the entire set of possibilities.

For example, the specific parameter here is that the drink must be a medium, (no matter the temperature). So, we would add 48 and 12 to get 60.

And we know that the total number of orders is 100.

So, we should divide 60 by 100, and we get 60%.

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 (●'◡'●)

Find the probability of no failures in five trails of a binomial experiment in which the probability of success is 30%

Answers

The probability of no failures in five trials is 0.2%.

Find the coordinates of the other endpoint when given midpoint (point M) and one of the endpoints (point P). P=(3,5) and M=(-2,0)

Answers

Answer:

About Points

S = (x,y)        searched point (it will be in the third quadrant )

M = (-2,0)      Midpoint | SP |

P = (3,5)        one end of the segment | SP |

You have to draw Cartesian.

we set in a point M and P. We both points by a simple and we extend it for the third quarter of the system. Compass measure the distance from the point M to the point P. From the point M we set a compass point S. Figure attached. Received point S = ( -7 , -5 ) . It sought a point that calculate .

We use the information that | SM | = | MP |

Answer : S = (-7,-5)

Step-by-step explanation:

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ P(\stackrel{x_1}{3}~,~\stackrel{y_1}{5})\qquad \underline{Q}(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{x+3}{2}~~,~~\cfrac{y+3}{2} \right)=\stackrel{M}{(-2,0)}\implies \begin{cases} \cfrac{x+3}{2}=-2\\[1em] x+3=-4\\ \boxed{x = -7}\\[-0.5em] \hrulefill\\ \cfrac{y+3}{2}=0\\[1em] y+3=0\\ \boxed{y=-3} \end{cases}[/tex]


SOMEONE HELP ME !!!


The side length of a smaller square is one-third the side length of a larger square.ee
the following statements describes the area of the smaller square?
F The area of the smaller square is I the area of the larger square.
27
G The area of the smaller square is 172 the area of the larger square.
H The area of the smaller square is the area of the larger square.
1 The area of the smaller square is
the area of the larger square,
3
1 / 2
SOMEONE HELP ME !!!

Answers

Answer:

H

Step-by-step explanation:

lets say the first big square has side s, so the area will be

then the side of the small square is s/3, and the area is (s/3)²= s²/3² =s²/9

the area of the smaller square is 1/9 smaller than the area of the big square

**who can help me**

Answers

Answer:

.

Step-by-step explanation:

given the nth term of geometric expression is (as in the diagram)

a) state the value of k
b) the first term of progression ​

Answers

Step-by-step explanation:

a) k = 1

b) geometric progression formula:

Tn = ar^(n-1)

first term, a = 3/2

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

A strawberry and banana juice blend is made with a ratio of strawberry to banana of 2:3. Fill in the table to show different proportional amounts. Amount of strawberry Amount of banana 1 b. Explain why these amounts are proportional.​

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

Let

[tex]S \to[/tex] Strawberry

[tex]B \to[/tex] Banana

[tex]S : B = 2 : 3[/tex]

Solving (a):

Complete the table

The table, to be complete, is not given; so, I will generate one myself.

[tex]\begin{array}{cccccc}S & {2} & {3} & {4} & {5} & {6} \ \\ {B} & {3} & {4.5} & {6} & {7.5} & {9} \ \end{array}[/tex]

The table is generated as follows:

[tex]S : B = 2 : 3[/tex]

Multiply by 1.5

[tex]S : B = 2 * 1.5 : 3 * 1.5[/tex]

[tex]S : B = 3 : 4.5[/tex]

Multiply by 2

[tex]S : B = 2*2 : 3*2[/tex]

[tex]S : B = 4 : 6[/tex]

And so on....

In summary, whatever factor is multiplied to S must be multiplied to B; in order to keep the ratio constant

Solving (b): Why the amount are proportion

Because the ratio is constant and it remains unchanged all through.

The local skating rink pays Mary a fixed rate per pupil plus a base amount to work as a skating instructor. She earns $90 for instructing 15 students on Monday afternoon. Last Friday, she earned $62 for working with 8 students. Lisa is also a skating instructor. She receives half the base amount that Mary does, but she is paid twice as much per student. Who would earn more money instructing a class of 20 students?
answer choice
1. 120
2. 65
3. 15
4. 10

Answers

Answer:

ok so lets divide 90 by 15 to get 6 so she gets paid 6 per student and that means lisa gets paid 12 so lets just multiply

6*20=120 so mary gets paid 120

and lisa gets paid doable that so 420

but i don't know there base pay so the i can't answer this problem

Hope This Helps!!!

PLEASE HELP DESPERATE

Answers

tan=sin/cos so tan=3/5/4/5=3/4

Answer:

SOH CAH TOA

3/5 opposite over hypotenuse

4/5 adjasent over hypotenuse

tan= opposite over adjasent which is 3/4

Step-by-step explanation:

x = 4y + 3, 2x + y = -3
System of Equations

Answers

Answer:

(- 1, - 1 )

Step-by-step explanation:

Given the 2 equations

x = 4y + 3 → (1)

2x + y = - 3 → (2)

Substitute x = 4y + 3 into (2)

2(4y + 3) + y = - 3 ← distribute parenthesis and simplify left side

8y + 6 + y = - 3

9y + 6 = - 3 ( subtract 6 from both sides )

9y = - 9 ( divide both sides by 9 )

y = - 1

Substitute y = - 1 into (1) for corresponding value of x

x = 4(- 1) + 3 = - 4 + 3 = - 1

solution is (- 1, - 1 )

Divisor mayor común de 28 y 48

Answers

Answer:

mcd(28,48) = 4

Para encontrar el mcd de 28 y 48:

Los factores de 28 son 28, 14, 7, 4, 2, 1.

Los factores de 48 son 48, 24, 16, 12, 8, 6, 4, 3, 2, 1.

Los factores en común de 28 y 48 son 4, 2, 1, los cuales intersectan los dos conjuntos arriba.

En la intersección de los factores de 28 ∩ factores de 48 el elemento mayor es 4.

Por lo tanto, el máximo común divisor de 28 y 48 es 4.

If “the notation arcsin x represents the inverse function to sine” is true or false.

Answers

If “the notation arcsin x represents the inverse function to sine” is true when the sine function is to the interval [ -pi/2, pi/2 ].

What is the sin function?

The sine function is one of the three primary functions in trigonometry, the others being cosine, and tan functions.

The confusion is compounded by the fact that we use the notation sin⁻¹(x) interchangeably with arcsin(x), and we call it the inverse sine.

Here is a counterexample disproving your given statement:

Let x = π.

The value π is in the domain of sin(x).

arcsin[sin(π)] = arcsin(0) = 0

arcsin[sin(π)] ≠ π

Therefore arcsin(x) is not the inverse of sin(x).

If you restrict the sine function to the interval [ -pi/2, pi/2 ]. Otherwise, arcsin will not be a function.

Hence, If “the notation arcsin x represents the inverse function to sine” is true when the sine function is to the interval [ -pi/2, pi/2 ].

Learn more about sin function here;

https://brainly.com/question/14397255

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identify the maximum and minimum values of the function y=10cosx in the interval [-2pie, 2pie]. Use your understanding of transformations, not your graphing calculator.

Answers

Answer:

3 x + 2 y + z/ x + y + z ,  x = 2 ,  y = 3 ,  z = 1

tan ( x ) ,  x = − π

cot ( 3 x ) ,  x = 2 π /3

Step-by-step explanation:

If A =
[tex]if \: a \: = \binom{53}{24} \: and \: b = \binom{32}{10} then \: prove \: that |ab| = |a| . |b| [/tex]
and B = Prove that |AB| = |A| . |B|​

Answers

A=53/24 and B=32/10

|A| = |53/24| = 53/24
|B| = |32/10| = 32/10
AB = 53/24 * 32/10 = 1,696/240


|A| * |B| = |AB|
|53/24| * |32/10| = |1,696/240|
53/24 * 32/10 = 1,696/240
1,696/240 = 1,696/240

Can someone please help me with this?

Answers

Answer is x=1.5 100% jus took it lol

the area of the rectangle is 48cm^2
show that x satisfies the equation x^2 + 7x -78 = 0

Answers

Answer:

No its doesn't satisfy the equation.

[tex]{ \bf{area = 2(l + w)}} \\ { \tt{48 = 2((x + 10) + (x - 3))}} \\ { \tt{24 = 2x + 7}} \\ 2x = 17 \\ x = 8.5 \\ \\ { \bf{in : \: {x}^{2} + 7x - 78 = 0 }} \\ x = 6 \: \: and \: \: - 13[/tex]

What is 1,485÷ 0.09 answer please let me y

Answers

Answer:

16,500

Step-by-step explanation:

Just use a calculator-simple

What do you mean "let me y"?

Answer:

the answer is 16500 or sixteen thousand five hundred

Step-by-step explanation:

:)

What is the slope of the line whose equation is y-4=5/2(x-2)?

Answers

Answer:

[tex]slope = \frac{ - 1 - 4}{0 - 2} \\ = \frac{ - 5}{ - 2} \\ = { \tt{ \frac{5}{2} }}[/tex]

The volume of a cone is 329.6 cubic inches, and the height is 5.4 inches. Which of the following is the closest to the radius r of the cone, in inches?

Answers

Answer:

329.6=1/3×16.97r

5.66r=329.6/÷5.66

r=58.23

Which long division problem can be used to prove the formula for factoring the difference of two perfect cubes?

Answers

Answer:

a-b  divided into [tex]a^{3} + 0a^{2} b + 0 ab^{2} - b^{3}[/tex]

the reason is that the (a-b) vs (a+b) in the "SOAP"

same, opposite, always a plus the "-" in the "a-b" has to match the

sign between the two cubes

Step-by-step explanation:

which of the following statements must be true, given that ΔABC≅ΔXYZ, and the measure of ∠C is 32°

Answers

[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]

Given,

ΔABC ≅ ΔXYZ

If these 2 triangles are congruent with each other then,

∠ A = ∠ X [tex]\boxed{\bf{Corresponding \ parts \ of \ congruent \ triangles}}[/tex]

∠ B = ∠ Y [tex]\boxed{\bf{Corresponding \ parts \ of \ congruent \ triangles}}[/tex]

∠ C = ∠ Z [tex]\boxed{\bf{Corresponding \ parts \ of \ congruent \ triangles}}[/tex]

Now,

We saw that ∠ C = ∠ Z.

⟹ So, if ∠ C = 32°, then even ∠ Z will be equal to 32°. [tex]\boxed{\sf{Equal \ angles \ have \ equal \ measurements}}[/tex]

ᶛɲƧཡэʀ ↦ C. m X = 32°

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

common denominator for 3/4 and 7/6

Answers

Answer:

  12

Step-by-step explanation:

3/4 = 9/12

7/6 = 14/12

12 is a suitable common denominator for these fractions.

__

4 = 2·2

6 = 2·3

The common denominator must include all these factors (and no more than necessary), so must be ...

  LCD = 2·2·3 = 12

The answer is 12 so hope this helps

sue has 18 pieces of candy
tony has 18 pieces of candy
sue then gives some to tony
sue then eats five of hers
tony eats half of his
write the expressions for the number of pieces candy sue and tony now have?

Answers

Answer:

Sue candy = 13 - x

Tony candy = 9 + 1/2x

Step-by-step explanation:

Sue candy = 18

Tony candy = 18

Let x = some candy gives to tony

Sue candy = 18 - x

Tony candy = 18 + x

sue then eats five of hers

Sue candy = 18 - x - 5

= 13 - x

tony eats half of his

Tony candy = 1/2(18 + x)

= 18/2 + x/2

= 9 + 1/2x

Expressions for the number of pieces candy sue and tony now have:

Sue candy = 13 - x

Tony candy = 9 + 1/2x

If g(x) = 2 |x| − 1, what is g(−2.3)?

Answers

Answer:

g(-2.3) = 3.6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

Identify

g(x) = 2|x| - 1

Step 2: Evaluate

Substitute in x [Function g(x)]:                                                                         g(-2.3) = 2|-2.3| - 1Absolute values:                                                                                               g(-2.3) = 2(2.3) - 1Multiply:                                                                                                             g(-2.3) = 4.6 - 1Subtract:                                                                                                            g(-2.3) = 3.6
3.6
2 *| -2.3 | - 1 = 3.6

Question Progress
-To Progress
Find the equation of the ine shown.

Answers

Answer:

could you show the ine?

Step-by-step explanation:

Se tienen tres tanques de la misma altura (5 metro) pero sus formas son diferentes. El primero es de base circular de 3 metros de radio, el segundo su base es elíptica y su eje mayor y menor mide 6 y 4 metros respectivamente. El último tanque es un cono invertido, con una base circular de 3 metros de radio. Si en todos se llena agua con un caudal de 1.5 litros por cada segundo, determine la razón de cambio de la altura respecto al tiempo.

Answers

Answer:

1.-dh/dt  =  5.31*10⁻⁵ m/seg

2.-dh/dt =   1.99*10⁻⁵  m/seg

3.-dh/dt  =  1.59*10⁻⁴  m/seg

Step-by-step explanation:PREGUNTA INCOMPLETA NO SE INDICAN LAS FORMAS DE LOS TANQUES.

Asumiremos que los tres tanques son:

el primero cilindro recto     de  Vc = π*r²*h      ( r es radio de la base y h la altura)

el segundo asumiremos que es eliptico recto de Ve = π*a*b*h aqui a y b son los ejes de la elipse y h la altura

El tercero es un cono invertido Vco  = 1/3 *π*r²*h  ( r es el radio de la base.

1.-Caso del cilindro

Vc = π*r²*h

Derivando en ambos miembros de la expresión tenemos:

dV(c) / dt  = π*r²*dh/dt

Sustituyendo

1.5 Lts/seg =  3.14 * (3)²*dh/dt  

1.5/1000 m³/seg  =  28.26 m² dh/dt

1.5/ 28260 m  =  dh/dt

Despejando dh/dt

dh/dt  =  1.5 / 28260    =  5.31*10⁻⁵ m/seg

dh/dt  =  5.31*10⁻⁵ m/seg

2.-La elipse

Ve  = π*a*b*h  

Aplicando el mismo procedimiento tenemos:

DVe/dt  =  1.5 Lts/seg  =  π* 6*4* dh/dt

1.5 /1000   =  75.36 *dh/dt

dh/dt =  1.5 / 75360  m/seg

dh/dt =   1.99*10⁻⁵  m/seg

3. El cono invertido

Vco = (1/3)*π*r²*h

DVco/dt =  (1/3)*π*r²*dh/dt

1.5/1000  =  9.42 *dh/dt

dh/dt  =  1.5/9420

dh/dt  =  1.59*10⁻⁴  m/seg

Estimate the number of square yards of carpeting needed to cover a floor 10'3" by 15'9.

Answers

Answer:

17.9375 square yards

Step-by-step explanation:

Let us have a common unit

What we have here is the case of inches and ft

10 ft 3 inches

1 ft = 12 inches

so 3 inches is 3/12 = 0.25 ft

= 10+0.25 = 10.25 ft

15 ft 9 in

= 15 + 9/12 = 0.75 + 15 = 15.75 ft

So let us convert to yards ;

Mathematically, 3 ft = 1 yard

so 10.25 ft = 10.25/3 = 3.4167 yards

15.75 ft = 15.75/3 =5.25 yards

So the square yards would be the product of this two;

which is;

(10.25/3) * (15.75/3) = 17.9375 square yards

Five number have amean of 12,when one number is removed, the mean becomes 11,what is the removed number

Answers

Answer:

The removed number is 16

Step-by-step explanation:

Five numbers have a mean of 12.

Now;

Mean = Σx/x

Thus; Σx = 12 × 5 = 60

Now,we are told that if one number is removed, the mean is 11.

Thus;

(60 - x)/4 = 11

60 - x = (11 × 4)

60 - x = 44

x = 60 - 44

x = 16

Thus,the removed number is 16

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