Describe how to transform the graph of g(x) - Inx in the graph of f(x) - In (-x)-9.

a. Reflect across the y-axis and translate 9 units to the left

b. Reflect across the x-axis and translate 9 units to the left

c. Reflect across the x-axis and translate 9 units to down

d. Reflect across the y-axis and translate 9 units to down

Answers

Answer 1

Answer:

  d. Reflect across the y-axis and translate 9 units to down

Step-by-step explanation:

Reflection of the graph of a function across the y-axis is accomplished by replacing x with -x in the function definition.

Translation of the graph of a function by k units upward is accomplished by adding k to the function value.

Application

Here, we observe that f(x) is g(x) with x replaced by -x. That means the graph of f(x) will be the graph of g(x) reflected across the y-axis.

The function f(x) is the function g(x) with -9 added to it. That translates the graph downward by 9 units.

These transformations, reflection across the y-axis and translation 9 units downward, can be seen in the attached graphs. Corresponding points are marked.

Describe How To Transform The Graph Of G(x) - Inx In The Graph Of F(x) - In (-x)-9.a. Reflect Across

Related Questions

Let p: A number is greater than 25.
Let q: A number is less than 35.
If p q is true, then what could the number be? Select two options.
24
28
32
36
040

Answers

I believe it could be 28 and 32

A population of bacteria begins with 1500 bacteria and grows to 4500 in one hour.

- Find a function that represents the growth of this culture of bacteria as a function of time.

- How long does it take this culture of bacteria to double?

Thanks TT

Answers

The function that represents the growth of this culture of bacteria as a function of time is; P = 1500e^(1.0986t)

How to calculate Exponential Growth?

The formula for exponential growth is;

P = P₀e^(rt)

where;

P = current population at time t

P₀ = starting population

r = rate of exponential growth/decay

t = time after start

Thus, from our question we have;

4500 = 1500 * e^(r * 1)

4500/1500 = e^r

e^r = 3

In 3 = r

r = 1.0986

Thus, the function that represents the growth of this culture of bacteria as a function of time is;

P = 1500e^(1.0986t)

For the culture to double, then;

P/P₀ = 2. Thus;

e^(1.0986t) = 2

In 2 = 1.0986t

t = 0.6931/1.0986

t = 0.631 hours

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×|
-2

1
2
f(x )
12.5
2.5
0.5
0.1
0.02
which exponential function is represented by the table

Answers

Answer:

1,2

Step-by-step explanation:

1,2
Is the answer for your question

Question in attached file

Answers

The value of the expression [tex]\frac{x^2 + 3y^2}{xy}[/tex] is [tex]\frac{6y^2 + 2xy}{xy}[/tex]

How to solve the expression?

The equation is given as:

[tex]x^2 - 2xy - 3y^2 = 0[/tex]

Add 3y^2 to both sides

[tex]x^2 - 2xy = 3y^2[/tex]

Add 3y^2 to both sides

[tex]x^2 + 3y^2 - 2xy = 6y^2[/tex]

Add 2xy to both sides

[tex]x^2 + 3y^2 = 6y^2 + 2xy[/tex]

Divide through by xy

[tex]\frac{x^2 + 3y^2}{xy} = \frac{6y^2 + 2xy}{xy}[/tex]

Hence, the value of [tex]\frac{x^2 + 3y^2}{xy}[/tex] is [tex]\frac{6y^2 + 2xy}{xy}[/tex]

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The slope of the line below is -2. Use the coordinates of the labeled point to
find a point-slope equation of the line.
(4,-6)
® A. y + 6 = -2(x-4)
B. y-6= -2(x+4)
6 =2(×+4)
D. y + 6 =2(x - 4)

Answers

Answer:

Step-by-step explanation:

its  A y+6=-2

If the following integral converges, state its value in the space provided. Otherwise, input divergent.
9
2-3
√3
dz

Answers

I personally believe A! 9

What is the value of a in this equation?

Answers

Substituting into vertex form, we can write the equation of the parabola as

[tex]y=a(x-0)^{2}+9\\\\y=ax^{2}+9[/tex]

To find the value of a, we can substitute in the coordinates of another point the graph passes through, such as (3,0).

[tex]0=a(3)^{2}+9\\\\0=9a+9\\\\-9=9a\\\\a=\boxed{-1}[/tex]

The length of the longer leg of a right triangle is 3 cm more than three times the length of the shorter
leg. The length of the hypotenuse is 4 cm more than three times the length of the shorter leg. Find the
side lengths of the triangle.
Length of the shorter leg:________ cm
Length of the longer leg:
cm
Length of the hypotenuse:
_cm

Answers

Answer:

the length of the shorter leg : 7 cm

the length of the longer leg : 24 cm

the length of the Hypotenuse : 25 cm

Step-by-step explanation:

a = 3b + 3

c = 3b + 4

and we know the general Pythagoras :

c² = a² + b²

(3b + 4)² = (3b + 3)² + b²

9b² + 24b + 16 = 9b² + 18b + 9 + b²

24b + 16 = 18b + 9 + b²

6b + 7 = b²

b² - 6b - 7 = 0

the general solution to such a quadratic equating is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x is called b.

a = 1

b = -6

c = -7

b = (6 ± sqrt((-6)² - 4×1×-7))/(2×1) = (6 ± sqrt(36 + 28))/2 =

= (6 ± sqrt(64))/2 = (6 ± 8)/2

b1 = (6+8)/2 = 14/2 = 7 cm

b2 = (6-8)/2 = -2/2 = -1 cm

a negative number did not make sense for a side length, so,

b = 7 cm

is our solution for one leg.

a = 3b + 3 = 3×7 + 3 = 24 cm

c = 3b + 4 = 25 cm

In rhombus ABCD below, AC=30 cm and BD=18 cm. Find the area of the rhombus .I will give brainliest for the best and correct answer.

Answers

Area of rhombus = 0.5 x D1 x D2

Thus,
Area = 0.5 x 30 x 18
= 270 units ^2

what is proportional reasoning

Answers

Answer:

Making comparisons of numbers or values and considering relationships are also aspects of proportional reasoning.

Example:
A worker being paid by the number of hours he/her worked.

#EDIT #1

what are the zeros of the function f(x)=x^4-4x^2-5

Answers

Answer:

[tex]x =\sqrt{5} ,-\sqrt{5} ,-i,i[/tex]

Step-by-step solution:

[tex]0=x^4-4x^2-5[/tex]   [tex]u = x^2[/tex]
[tex]0 = u^2-4u-5[/tex]
[tex]0 = (u -5)(u+1)[/tex]
[tex]u = 5[/tex]  [tex]u=-1[/tex]
[tex]x^2 =5[/tex]    [tex]x^2 = -1[/tex]
[tex]x= +-\sqrt{5}[/tex]   [tex]x = +-i[/tex]

8x + y = 23 plus -10x -y = -27

Answers

Answer:

13.5

Step-by-step explanation:

8x+y-10x-y=-27

-2x=-27

x=13.5

Answer:

64

Step-by-step explanation:

A disk is in the form of square and measures 5.25 inches on each side. Find
the diagonal length of the disk?

Answers

Answer:

The diagonal length of the desk is 7.42462120246 inches.

Step-by-step explanation:

Since it is a square then all sides are equal which means we can easily formulate the pythagorean theorem on the diagonal length of the desk.

a^2 + b^2 = c^2

A and B are the same (width and length) since it is a square.

5.25^2 + 5.25^2 = c^2

27.5625 + 27.5625 = c^2

55.125 = c^2

Put c^2 under a square root (apply to both sides)

square root of 55.125 = 7.42462120246 = c

Mr. Gatting poured the same amount of pepper into each of the cylindrical pepper shakers shown below. The pepper in the shaker on the left is
filled to a height of 45 millimeters.
60 mm
OA 60 millimeters
OB. 95 millimeters
-32 mm
To what approximate height is the shaker on the right filled with pepper?
24 mm-
Note: Figures are not drawn to scale
100 mm

Answers

Answer:

80 mm

Step-by-step explanation:

the same amount (and that means the same volume) of pepper is in each shaker.

the volume of a cylinder is

base area × height = pi×r² × height

with r being the radius (which is always half of the diameter).

the volume of the filled in pepper in the first shaker is then

pi×(32/2)²×45 = pi×16²×45 = pi×256×45 = 11,520pi mm³ =

= 36,191.14737... mm³

now let's see what height in the second shaker we will reach by filling the same 11,520pi mm³ of pepper into it.

so, we have

pi×(24/2)²×height = 11,520pi

12²×height = 11,520

144×height = 11,520

height = 11,520/144 = 80 mm

so, the shaker on the right is filled up to 80 mm with pepper.

Answer:

80 mm

Step-by-step explanation:

I got it right on edmentum

Anyone know how to do area or volume? Any help will do! thanks

Answers

Answer:

Volume: x(x+6)(x+2) Area: [tex]x^{2}[/tex] + 8x +12

Step-by-step explanation:

Volume Explanation:

To find the volume of a 3d figure, we must multiply the length, width, and the height. Therefore we multiply (x)(x+6)(x+2)= [tex]x^{3}[/tex] + 8[tex]x^{2}[/tex] + 12x. Simplify this equation and we will get x(x+6)(x+2) for the formula to find the volume of the 3D figure.

Area:

To find the area of a 2D figure, we must multiply length x height. Therefore, we multiply the equations (x+6)(x+2)= [tex]x^{2} + 2x + 6x +12[/tex] to get a final answer of [tex]x^{2} +8x +12[/tex].  This will be the formula when you find the area of the 2D figure in question.

wice a number added to a smaller number is 5. The difference of 5 times the smaller number and the larger number is 3. Let x represent the smaller number and y represent the larger number. Which equations represent the situation?
2 y + x = 5. 5 x minus y = 3.
2 x + y = 5. 5 y minus x = 3.
2 y + x = 5. y minus 5 x = 3.
2 x + y = 5. x minus 5 y = 3.

Answers

Answer:

2 y + x = 5 , 5 x − y = 3

Step-by-step explanation:

suppose x represents the smaller number and y represent the larger number.

Then

• The statement: “Twice a number added to a smaller number is 5”

means  2 y + x = 5

On the other hand,

•• The statement: “The difference of 5 times the smaller number and the larger number is 3”

means  5 x − y = 3

Create a tree diagram for flipping an unfair coin two times. The probability of H is 2/3 and probability of T is 1/3. Write the probabilities on each branch.

Answers

The probabilities on each branch are shown in the tree diagram, and P(HT) = 2/9.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

The probability of H is 2/3 and the probability of T is 1/3.

P(HT) = P(H in the first trial)P(T in the second trial)

From the tree diagram:

P(HT) = (2/3)(1/3) = 2/9

Thus, the probabilities on each branch are shown in the tree diagram, and P(HT) = 2/9.

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True or false? To begin an indirect proof, you assume the converse of wha
you intend to prove is true.
OA. True
OB. False

Answers

Answer: B. False

Step-by-step explanation:

You assume the inverse of what you intend to prove is true, not the converse.

there is a canned food sale at the supermarket. a case of 24 cans of peas is prices at $19.68. at the same rate what is the price of 10 cans?​

Answers

Answer:

8.2

Step-by-step explanation:

We can find the unit rate of this problem by dividing 18.68 by 24 to get .82. .82*10 is equal to 8.2.

riangle A″B″C″ is formed using the translation (x + 0, y + 2) and the dilation by a scale factor of 2 from the origin. Which equation explains the relationship between segment AC and segment A double prime C double prime? (1 point) coordinate plane with triangle ABC at A negative 3 comma 3, B 1 comma negative 3, and C negative 3 comma negative 3

Answers

The relationship between segment AC and segment A double prime C double prime is AC = A''C'' /2.

What is a Scale Factor ?

The ratio by which the new image is bigger or smaller than the original image is the scale factor.

It is given that

Triangle A″B″C″ is formed using the translation (x + 0, y + 2)

and the dilation by a scale factor of 2 from the origin.

coordinate plane with triangle ABC at A (- 3,  3), B (1, - 3), and C (- 3, -3).

segment AC is equal to A''C'' over 2

Scale factor = 2

The coordinates are

A (- 3,  3), B (1, - 3), and c (- 3, -3) is translated using  (x + 2, y + 0),

new coordinates

A'(- 1,  3), B'(3, - 3), and C'(- 1, -3).

The dilation by a scale factor of from the origin

A″ (-2, 6), B″ (6, -6) and C″(-2, -6)

By the distance formula

AB = [tex]\rm \sqrt {52}[/tex]

A''B'' = [tex]\rm \sqrt{ 8^2 + 12^2}\\[/tex] = 2 [tex]\rm \sqrt {52}[/tex]

Therefore

AB = A''B'' /2

Similarly AC = A''C'' /2

The relationship between segment AC and segment A double prime C double prime is AC = A''C'' /2.

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Please help!!! What is the slope of a line that is perpendicular to this line?

Answers

[tex]\frak{Hi!}[/tex]

[tex]\orange\hspace{300pt}\above3[/tex]

                      If two lines are perpendicular to each other, their slopes

                     are negative inverses of each other.

                     Thus,

                    [tex]\boldsymbol{\sf{Slope\:of\:this\:line=4}}}[/tex]

                    [tex]\boldsymbol{\sf{Negative \ Inverse=-\displaystyle\frac{1}{4}}}[/tex]. See how this works?

                    We took 4, then took its opposite, and flopped that over

[tex]\orange\hspace{300pt}\above3[/tex]

Definition-:

Perpendicular lines are lines that intercept each other at a 90 deg. angle, which is usually called the right angle.

What is the difference of the given values to the correct level of precision?

22.108 L

– 5.80 L

Answers

Answer 27.908
22.108-(-5.80)
22.108+ 5.80= 27.908
the correct answer would be 27.908. i believe

Question 15 (5 points)
image

Which of the following is a true proportion of the figure based on the triangle proportionality theorem?
Question 15 options:

A)







B)







C)







D)

Answers

Answer:

You need to attach the pictures and ask again.

Step-by-step explanation:

I cannot see any attachments.

Whats the correct answer answer asap for brainlist

Answers

Answer:

Spain

Step-by-step explanation:

Pablo Picasso was born in Malaga, Spain.

Answer:

Málaga, Spain

Step-by-step explanation:

If sin(θ)=−24/25, and θ is in Quadrant III, then what is tan(θ/2)?

Answers

Recall the Pythagorean identity,

[tex]\sin^2(\theta) + \cos^2(\theta) = 1[/tex]

Since [tex]\theta[/tex] belongs to Q3, we know both [tex]\sin(\theta)[/tex] and [tex]\cos(\theta)[/tex] are negative. Then

[tex]\cos(\theta) = -\sqrt{1 - \sin^2(\theta)} = -\dfrac7{25}[/tex]

Recall the half-angle identities for sine and cosine,

[tex]\sin^2\left(\dfrac\theta2\right) = \dfrac{1 - \cos(\theta)}2[/tex]

[tex]\cos^2\left(\dfrac\theta2\right) = \dfrac{1 + \cos(\theta)}2[/tex]

Then by definition of tangent,

[tex]\tan^2\left(\dfrac\theta2\right) = \dfrac{\sin^2\left(\frac\theta2\right)}{\cos^2\left(\frac\theta2\right)} = \dfrac{1 - \cos(\theta)}{1 + \cos(\theta)}[/tex]

[tex]\theta[/tex] belonging to Q3 means [tex]180^\circ < \theta < 270^\circ[/tex], or [tex]90^\circ < \theta < 135^\circ[/tex], so that the half-angle belongs to Q2. Then [tex]\sin\left(\frac\theta2\right)[/tex] is positive and [tex]\cos\left(\frac\theta2\right)[/tex] is negative, so [tex]\tan\left(\frac\theta2\right)[/tex] is negative.

It follows that

[tex]\tan\left(\dfrac\theta2\right) = -\sqrt{\dfrac{1 - \cos(\theta)}{1 + \cos(\theta)}} = \boxed{-\dfrac43}[/tex]

2pr+2prh find the surface area of water tower that is 40 feet tall and has a diameter of 30 feet

Answers

The Surface area of the cylindrical tower is 5181 ft cube.

How to find surface area of a cylinder?

Surface area of cylinder = 2πr² + 2πrh

where

r = radiush = height

Therefore,

r = 30 / 2 = 15 ft

h = 40 ft

Surface area of cylinder = 2πr(r + h)

Surface area of cylinder = 30π(40 + 15)

Surface area of cylinder = 30π(55)

Surface area of cylinder = 1650π

Surface area of cylinder = 5181 ft³

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??????????????????????????????

Answers

Answer:I can’t see

Step-by-step explanation:show fullscreen

Write each phrase as a mathematical expression.

The sum of the profit, P, times 8 and 6

Answers

P(8+6) just did quiz

What is the slope of a line perpendicular to
the line whose equation is 9x + 3y = 36.
Fully simplify your answer.

Answers

[tex]m = \frac{ - u}{v} = \frac{ - 9}{3} = - 3 [/tex]

[tex]km = - 1 \\ k = - \frac{1}{m} = \frac{ - 1}{-3}=1/3 [/tex]

The slope of the perpendicular line will be 1/3.

What is the equation of a perpendicular line?

Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.

The equation of the line is given below.

9x + 3y = 36

3y = 36 - 9x

y = 12 - 3x

The slope of the given equation is - 3.

Let m be the slope of the perpendicular line. Then the slope of the perpendicular line will be 1/3.

m (-3) = -1

Simplify the equation, then we have

m (-3) = -1

3m = 1

m = 1/3

The slope of the perpendicular line will be 1/3.

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Find card(B) given that B={1,3,5,7,9,….9907}

Answers

The value of card(B) is card(B) = 4954

How to determine the card(B)?

The set is given as:

B={1,3,5,7,9,….9907}

The above set is the set of odd numbers from 1 to 9907.

The number of elements is the cardinality

And it can be calculated using

L = a + (n - 1)d

Where

L = 9907

a = 1

d = 2

So, we have:

9907 = 1 + (n - 1)2

Subtract 1 from both sides

9906 = (n - 1)2

Divide by 2

n - 1 = 4953

Add 1 to both sides

n = 4954

This means that

card(B) = 4954

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