find the rule ans the graph of the function whose graph can be obtained by performing the translation 4 units peft and 5 units down on the parent function f(x)=ln(x)


a. f(x)=ln(x+4)-5
b. f(x)=(x-5)-4
c. f(x)=ln(x-4)-5
d. f(x)=ln(x+5)-4​

Answers

Answer 1
a. f(x)=ln(x+4)-5
If it shifts to the left side then in braces put a (+) sign and if it shifts to the right then in braces put a (-) sign. If it goes up it’s positive and if it goes down it’s negative

Related Questions

What is the value of a?

Answers

It should be the second awnser

Answer:

your answer will be option B

Step-by-step explanation:

[tex]\frac{10}{12} =\frac{a}{38} \\\\a=\frac{(10) (38)}{12} \\\\=31.6[/tex]

If Figure F is rotated 180° and dilated by a factor of , which new figure could be produced?

Hurry please!

Answers

Answer:

2nd answer choice :)

Step-by-step explanation:

The new figure produced is given below.

Option C is the correct answer.

What is a scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

Let the figure be in the first quadrant.

Now,

Rotation of 180-degree means,

The figure will be in the third quadrant.

Now,

Dilation with a factor of 1/2.

This means,

The figure will shrink by 1/2.

Thus,

The new figure is given below.

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Plzzz help. Giving everything.

Answers

Answer:

d. 260. is the answer.

Answer is, 260 degrees (D)

What is

% of $62 = $31

Answers

Answer:

50?

Step-by-step explanation:

31: 62*100 =

(31*100): 62 =

3100: 62 = 50

well if we consider
62--->100%
31---->x%
x= 31*100/62
x= 50%
Therefore, 31 is 50% of 62

If ABCD is a parallelogram, m A
B
(3x + 4)º
D

C
Equation:
X=
(PLEASE HELP)

Answers

Answer:

x is 44 because

3x+4+x=180

4x=180-4

4x=176

x=44

suppose that grade point averages of undergraduate students at one university bell-shaped distribution with a mean of 2.57 and a standard deviation of 0.4 describe where approximately 99.7% of a grade point averages lie

Answers

Answer:

2.57-0.4-0.4-0.4=1.37

2.57-0.4-0.4=1.77

so the answer is 1.37 between 3.77

Step-by-step explanation:

a girl is three years older than his brother. the product of their ages is 54, find their ages​

Answers

Answer:

The sister is 25.5. The brother is 28.5.

Step-by-step explanation:

25.5 + 28.5 = 54.

The boy's age is 9.

The girl's age is 12.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Boy's age = x

Girl's age:

y = x + 3

Now,

x (x + 3) = 54

x² + 3x - 54 = 0

x² + (9 - 6) - 54 = 0

x² + 9x - 6x - 54 = 0

x(x + 9) - 6(x + 9) = 0

x - 6 = 0

x = 6

x + 9 = 0

x = -9 ( cannot be negative)

Now,

x = 9

Boy's age = 9

Girl's age = 9 + 3 = 12

Thus,

The boy's age and the girl's ages are 9 and 12.

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A person on a moving sidewalk travels 6 feet in 3 seconds. The moving sidewalk has a length of 60 feet. How long will it take to move from one end of the sidewalk to the other?​​

Answers

Answer:

Speed = distance / time

= 6/3 =2 ft/sec

Time = distance / speed

= 60/2

= 30 seconds

Can someone help me with these two for brilliant please

Answers

Answer:

its A

Step-by-step explanation:

Answer:

A. y=5.50x

Step-by-step explanation:

Brainlist plz

plzz help me solve this question i need correct question i will mark you as a brainliest and I will give 5.0 rating anf thanks if ur answer will be correct​

Answers

Answer:

I. p = 7

II. 17 litres

Step-by-step explanation:

I. Determination of the value of p

Mean = 17.7

p =.?

Let the number of litre be L

Let the number of motorist be M

Mean = summation LM / summation M

Summation of LM = (16×11) + (17×10) + (18×p) + (19×4) + (20×8)

= 176 + 170 + 18p + 76 + 160

= 582 + 18p

summation M = 11 + 10 + P + 4 + 8

= 33 + p

Mean = summation LM / summation M

17.7 = 582 + 18p / 33 + p

Cross multiply

17.7(33 + p) = 582 + 18p

584.1 + 17.7p = 582 + 18p

Collect like terms

584.1 – 582 = 18p – 17.7p

2.1 = 0.3p

Divide both side by 0.3

p = 2.1 / 0.3

p = 7

II. Determination of the median number of litre.

Let the number of motorist be M (i.e the frequency)

summation M = 11 + 10 + P + 4 + 8

p = 7

summation M = 11 + 10 + 7 + 4 + 8

summation M = 40

The median is the middle term i.e

Median = (summation M / 2)ᵀʰ motorist

Median = (40 / 2)ᵀʰ motorist

Median = 20ᵀʰ motorist

Considering the table in the question above, the 20ᵀʰ motorist has 17 litres.

Therefore, the median number of litres is 17 litres.

will give brianlist

Jennifer has a hair ribbon that is 12 centimeters long. What is the length of the ribbon in millimeters? Use the number of zeros of the product when multiplying a number by a power of 10 to help you.


120 millimeters

12 millimeters

1,200 millimeters

1.2 millimeters

Answers

A. 120 millimeters.

Solve the inequality:

8+4x≥12

Select one:

x≤1

x≥5

x≥1

x≤5

Answers

X is less than or equal to 1

Answer:

x≥1

Step-by-step explanation:

The sum of two numbers is 58. Twice the second
number subtracted to four times the first number is
28. Find the two numbers.

Answers

Answer:

Step-by-step explanation:

a+b=58 and 4a-2b=28 is the system of equations

solving the first for a, a=58-b, using this value for b in second equation is

4(58-b)-2b=28

232-4b-2b=28

232-6b=28

-6b=-204

b=34, and since a=58-b

a=58-34

a=24

So the two numbers are 24 and 34

A satellite television company charges a one-time installation fee of $55 and a monthly service charge of $46. Elizabeth was installed this year and has spent a total of $285.00 on her satellite connection. The equation 55 + 46x = 285 can be used to represent her expenses so far. What does the variable x represent in this situation?

Answers

Answer:

The monthly service charge

Step-by-step explanation:.

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

D

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf D. \ 64x^{12}y^6z^2}}[/tex]

Step-by-step explanation:

This is an example of a power to a power. The exponents inside the parentheses are being raised to another power outside the parentheses. We multiply the exponents and take the coefficients (number in front of the variables) to the power.

[tex](8x^6y^3z)^2[/tex]

Remember that a variable without an exponent has an implied exponent of 1.

[tex]8^2x^{6*2}y^{3*2}z^{1*2}[/tex]

Solve the coefficient's exponent.

8²= 8*8= 64

[tex]64x^{6*2}y^{3*2}z^{1*2}[/tex]

Multiply the exponents.

[tex]64x^{12}y^{6}z^{2}[/tex]

So, the expression given is equal to Choice D: 64x¹²y⁶z²

Joel rides bikes in his city There are 4 lengths of race tracks.

Answers

Answer:

21

Step-by-step explanation:

asdawda

Can someone please solve this for me btw I’m suppose to be dividing that question using long division

Answers

Answer:

0.343

Step by step explanation:

 0. 3 4 3

8    2. 7 5 0

− 0      

 2 7    

− 2 4    

   3 5  

 − 3 2  

     3 0

   − 2 4

       6

The picture shows the top view of a piece of glass. A rectangular piece of glass is shown. The length is measured as 4 feet. The width is measured as 2 and one-half feet. Which equations can be used to find the area, in square feet, of the piece of glass? Select all that apply. A. A = 2 1 2 × 4 B. A = 5 2 + 4 C. A = ( 2 1 2 + 2 1 2 ) + ( 4 + 4 ) D. A = 5 2 × 4 E. A = ( 2 × 2 1 2 ) + ( 2 × 4 ) F. A = 2 1 2 + 4 answer and u get brainlyest

Answers

Answer:

d. and e.

Step-by-step explanation:

i did the test

Option A and Option D represents the equation of area of rectangular piece which are A=4×[tex]2\frac{1}{2}[/tex] and A=4×5/2.

What is Area of Rectangle?

The area of Rectangle is length times of width.

Given that A rectangular piece of glass is shown.

The length is measured as 4 feet.

The width is measured as 2 and one-half feet.

We have to find the  equations can be used to find the area of the piece of glass.

Area=Length×width

Area=4 feet × 2 and one-half feet

=4×[tex]2\frac{1}{2}[/tex]

=4×5/2

Hence, Option A and Option D represents the equation of area of rectangular piece which are A=4×[tex]2\frac{1}{2}[/tex] and A=4×5/2.

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A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has four identical components, each with a probability of 0.2 of failing in less than 1000 hours. The subsystem will operate if any two of the four components are operating. Assume that the components act independently.a) Find the probability that exactly two of the four components last longer than 1000 hours.b) Find the probability that the subsystem operates longer than 1000 hours.

Answers

Answer:

a) 0.1536 = 15.36% probability that exactly two of the four components last longer than 1000 hours.

b) 0.9728 = 97.28% probability that the subsystem operates longer than 1000 hours.

Step-by-step explanation:

For each component, there are only two possible outcomes. Either they fail in less than 1000 hours, or they do not. The probability of a component failing in less than 1000 hours is independent of any other component. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

One subsystem has four identical components, each with a probability of 0.2 of failing in less than 1000 hours.

Four components means that [tex]n = 4[/tex]

Probability of 0.2 of failling means that 1 - 0.2 = 0.8 probability of not failling, so [tex]p = 0.8[/tex]

a) Find the probability that exactly two of the four components last longer than 1000 hours.

This is [tex]P(X = 2)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{4,2}.(0.8)^{2}.(0.2)^{2} = 0.1536[/tex]

0.1536 = 15.36% probability that exactly two of the four components last longer than 1000 hours.

b) Find the probability that the subsystem operates longer than 1000 hours.

It will operate if at least two compoents last longer than 1000 hours. So

[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{4,2}.(0.8)^{2}.(0.2)^{2} = 0.1536[/tex]

[tex]P(X = 3) = C_{4,3}.(0.8)^{3}.(0.2)^{1} = 0.4096[/tex]

[tex]P(X = 4) = C_{4,4}.(0.8)^{4}.(0.2)^{0} = 0.4096[/tex]

[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.1536 + 0.4096 + 0.4096 = 0.9728[/tex]

0.9728 = 97.28% probability that the subsystem operates longer than 1000 hours.

Combine like terms to simplify; (5x + 2) + (4x + 5). 1 point 9x - 7 9x + 7 -9x - 11 X + 7

Answers

(5x + 2) + (4x + 5)

= 5x + 2 + 4x + 5

= 5x + 4x + 5 + 2

= 9x + 7

put the following equation on a line into slope intercept form simplified all fraction 12 x + 3 Y equals -18 ​

Answers

slope intercept form: y=mx+b
12x+3y=-18 subtract 12x on both side
3y=-12x-18 divide both sides by 3
y=-4x-6 is the answer

twice the sum of nineteen and twenty is seventy-eight in a symbol ​

Answers

Uhm what’s your question

Please answer and explain I’ll mark brainliest!!!!!!!!!!!!

Answers

Answer:

A. x^2−x+6

B. 2x^2−11x+12

C. x^2−4

Step-by-step explanation:

Hope it helps

A. Distribute:

=(x)(x)+(x)(−3)+(2)(x)+(2)(−3)

=x2+−3x+2x+−6

Combine Like Terms:

=x2+−3x+2x+−6

=(x2)+(−3x+2x)+(−6)

=x2+−x+−6

B. I can't find an explanation

C.  I can't find an explanation

Answer:

So we apply the distributive property to get

a) x^2 - 3x + 2x - 6

b) 2x^2 - 8x - 3x + 12

c) x^2 - 2x + 2x - 4

then we add like terms to get

a) x^2 - x - 6

b) 2x^2 - 11x + 12

c) x^2 - 4

brainliest please?

Combine like terms in the following expression 8x + 3x +10x - 6

Answers

Answer:

21x+−6

work:

Combine Like Terms:

=8x+3x+10x+−6

=(8x+3x+10x)+(−6)

=21x+−6

Answer:

21x-6

Step-by-step explanation:

8x+3x+10x-6

8x+3x=11x+10x+21x

21x-6

you can only combine like terms

can someone help me? please.

Answers

Answer:

A

Step-by-step explanation:

[tex]\frac{3}{11} = 0.2727272727[/tex]

27 is repeating so you draw a line over the number

Answer: 0.27 thats the answer hope you pass your grade

Find the sum of all numbers 1 to 1000

Answers

Answer:

it is 500500

Step-by-step explanation:

learned this fact a few years ago and it stuck with me.

A parking garage owner wants to collect $2,250.00 in parking fees. If he charges $15.00 for each car, how many cars are needed to meet his goal?

A 150 cars

B 168 cars

C 169 cars

D 301 cars

Answers

A. 150 cars just divide 2250 with 15

What is the factored form of 18+12

Answers

6(3+2)

Step-by-step explanation:

that xas factor of 18+12

Answer:

30:)

Step-by-step explanation:

I think it's 30!!!!!

Can someone help me with these questions and show work please and thank you

Answers

Answer:

11. 78

12. 4x² - 3x - 1

Step-by-step explanation:

11. Sum of n whole numbers = ½(n² + n)

Multiply

½*n² + ½*n

= n²/2 + n/2

To find the sum of the first 12 whole number, substitute 12 for n into the equation.

= 12²/2 + 12/2

= 144/2 + 12/2

= 72 + 6

= 78

12. Area of trapezoid = ½(a + b)*h

Where,

a = 5x - 4

b = 3x + 2

h = x + 1

Area = ½(5x - 4 + 3x + 2)*(x + 1)

Area = ½(8x - 2)*(x + 1)

Area = ½[8x(x + 1) -2(x + 1)]

= ½[8x² + 8x - 2x - 2]

Add like terms

= ½(8x² - 6x - 2)

= ½(8x²) - ½(6x) - ½(2)

= 4x² - 3x - 1

Question 8 of 10
What is the solution to the division problem below? (You can use long division
or synthetic division.)
x3 - 2x - 14x + 3 /
X +3
A. x2 - 7x + 1
B. x2 - 6x + 1
c. x2 - 6x + 1
D. x - 8x+1

Answers

Answer: x^2-5x+1

Step-by-step explanation:

A P E X

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