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What is the equation of g in terms of f?

--What Is The Equation Of G In Terms Of F?

Answers

Answer 1

Answer:

g(x) = f(x - horizontal shift) + vertical shift translates to g(x) = f(x - [-4])+[-7].

Step-by-step explanation:

I'm not to sure but I hope this helps


Related Questions

What is the chance of rolling two dice and the dice add up to six?

Answers

around 13% chance

Step-by-step explanation:

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

Answers

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

Subtract 12 from both sides:

-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:

To graph a line passing through a point (3, 0) and slope 4, we will find the equation of the line first.

Since, equation of a line passing through a point (h, k) and slope 'm' is given by,

y - k = m(x - h)

Therefore, equation of a line passing through (3, 0) and slope 4 will be,

y - 0 = 4(x - 3)

y = 4x - 12

For y-intercept put x = 0 in the equation,

y = 4(0) - 12

y = -12

For x-intercept put y = 0 in the equation,

0 = 4x - 12

x = 3

Therefore, line will intersect x-axis at (3, 0) and y-axis at (0, -12).

              By joining these points we can find the graph of the line passing through (3, 0) and having slope = 4.

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Lisa and Rachel want to determine their muscular endurance, but they don't have access to a gym or any weight-lifting equipment. What can they use?
A.
maxing out method
B.
percent of 1 RM method
C.
calisthenic method
D.
absolute method

Answers

Answer:

C- calisthenic method

Step-by-step explanation:

In the absence of the weight-lifting equipment, it is also possible to measure the muscular endurance by the use of the calisthenic method.

What is muscular endurance?

The term muscular endurance has to do with the ability of a muscle to undergo a strenous activity repeatedly without being fatigued. It is common to measure muscular endurance by the use of weight-lifting equipments.

In the absence of the weight-lifting equipment, it is also possible to measure the muscular endurance by the use of the calisthenic method.

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Please answer this correctly without making mistakes

Answers

Answer:

4 dollars per pound

Step-by-step explanation:

3 x 4 =12

HELP ME!!
The number of tiktoks celia can make varies directly with the numbers of hours she spends making them. She can make 8 tiktoks in 1/2 an hour. How many tiktoks can she make in 3 hours?

Answers

Answer:

She can make 48 in 3 hours.

Step-by-step explanation:

Step-by-step explanation:

3*1/2=equivalent to an hour and 5 minutes which she would do would be about 48

Given f(x)=2x+5 find f(3)

answer choices are:
1. ) 28
2.) -28
3.) 11
4.) 6x+5
5.) 5

Answers

Answer:

3.) 11

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

f(x) = 2x + 5

f(3) is x = 3

Step 2: Solve

Substitute:                    f(3) = 2(3) + 5Multiply:                        f(3) = 6 + 5Add:                              f(3) = 11

Saleh can jog 2 3/7 miles in 6/11 hour. Find his average speed in miles per hour.

Answers

Answer:

3.73

Step-by-step explanation:

I WILL MARK BRAINLIST

Answers

Answer:

The answer is D

Step-by-step explanation:

find the missing value for each of the following 3 questions


1. 5% of 60 is _____


2. 40% of 500 is _____


3. 75% of 60 is ______

Answers

Answer:

1. 3

2. 200

3. 45

Step-by-step explanation:

5+5 is what i can not even get it is hard

Answers

Answer:

Step-by-step explanation:

10 plzz give me brainliest see ya

Find the equation of the line parallel to y=3x+5 that passes through (0,4) y=3x+4

Answers

Y=3x+4 is the line parallel to y=3x+5

∠10 and angle _____ are complementary angles.?
a.) ∠9 I
b.)∠11 O

Answers

Answer:

9

Step-by-step explanation:

they add up to 90 degrees

Answer: B

Step-by-step explanation:

HAVE A BLESSED DAY!!!!!!

Solve the word problem using a proportion. Danny, who was 6 ft tall, cast a 15 ft shadow. The building he was standing next to cast a 35 ft shadow. How tall was the building? 30 ft, 70 ft, or 14 ft? ​

Answers

Answer: 14 feet

Step-by-step explanation:

Answer:

14 feet

Step-by-step explanation:

$6,000 is invested in an account at interest rate r, compounded continuously. Find the time (in years) required for the amount to double when r= 9.5% and when r=2.5%.

Answers

Answer: When r= 9.5% , time = 7.3 years

When r= 2.5% , time = 27.7 years

Step-by-step explanation:

Exponential equation for compounded continuously:

[tex]A=Pe^{rx}[/tex] , where P= Principal value invested , r= rate of interest, x= time

Given : P= $6,000

A = 2P= 2 ($6,000) = $12,000  (i)

When r= 9.5%= 0.095

[tex]A= 6000e^{0.095x}[/tex]  (ii)

From (i) and (ii)

[tex]6000e^{0.095x}=12000\\\\\Rightarrow\ e^{0.095x}=2\\\\\Rightarrow\ \ln e^{0.095x} =\ln 2\\\\\Rightarrow\ 0.095x=0.693147\\\\\Rightarrow\ x=\dfrac{0.693147}{0.095}=7.296284210\approx7.3 \text{ years}[/tex]

For r= 2.5% = 0.025

[tex]6000e^{0.025x}=12000\\\\\Rightarrow\ e^{0.025}=2\\\\\Rightarrow\ \ln e^{0.025x} =\ln 2\\\\\Rightarrow\ 0.025x=0.693147\\\\\Rightarrow\ x=\dfrac{0.693147}{0.025}=27.72588\approx27.7 \text{ years}[/tex]

find if the series converges conditionally, converges absolutely, or diverges ∑k=1 ∞ (k^2k 3^k)/k!

Answers

Answer:

Diverges

Step-by-step explanation:

Using the ratio test to test the series:

What is the quotient between 215÷9

Answers

215/9

= 23.888888........

It is written as shown in the picture

Jane needs open-topped boxes to store her excess inventory at year's end. She purchases large
rectangles of thick cardboard with a length of 12 inches and width of 8 inches to make the boxes.
She is interested in maximizing the volume of the boxes and wants to know what size squares to
cut out at each corner of the cardboard (which will allow the corners to be folded up to form the
box) to do this. What is the maximum volume?

Answers

Answer:

x = 1,6 in   ( the side of the corner squares )

V(max) = 67,58 in³

Step-by-step explanation:

The cardboard is:

L = 12 in          w  =  8 in

Let´s call "x" the side of the square from the corner:

Then the sides of the base of the open box are:

( L - 2*x )    and    ( w - 2*x )     and   x is the height

( 12  -  2*x )  and  ( w  - 2*x )

V(ob) = (L - 2*x ) * (  - 2*x ) * x

Wich is a function of x

V(x) = [( 12 - 2*x ) * ( 8 - 2*x ) ]*x

V(x) = ( 96 - 24*x - 16*x + 4*x²) * x

V(x) = 96*x - 40*x² + 4*x³

Tacking derivatives on both sides of the equation

V´(x) = 12*x² - 80*x + 96

V´(x) = 0     12*x² - 80*x + 96 = 0

Solving for x

x₁,₂ = 80 ± √ 6400 - 4608 / 24

x₁,₂ = 80 ± 42,33 / 24

x₁ = 5,10       We dismiss this solution since 2*x  becomes 2*5,10 = 10,20

ant this value is bigger than 8 inches

x₂ = 1,60 in

Therefore dimensions of the box

a = 12 - 2*x     ;  a =  12 - 3,20  ;  a = 8,8 in

b = 8 - 2*x   ; b = 8 - 3,20  ; b =  4,80  in

And the volume of the open box is:

V(max) = 8,8*4,8*1,6

V(max)  =  67,58 in³

How do we Know that is the maximun value for V?

We find  V´´(x)  = 24*x - 80     for  x = 1,6 is negative ( V´´(x) = - 41,6 therefore V (x) has  a local maximun for a value of x = 1,6

Look at the shaded products. All of the products are the same number. What is true about the pattern?

One of the factors is always 1. When you multiply a number by 1, the product is that number.

One of the factors is always 1. When you multiply a number by 1, the answer is always 1.

One of the factors is always 0. When you multiply a number by 0, the product is that number.

One of the factors is always 0. When you multiply a number by 0, the product is always 0.

Answers

Answer:

The Answer is One of the factors is always 0. When you multiply a number by 0, the product is always 0.

Nancy invested $750 per month in a 401k that earned 6% annual return for 30 years. Alex
invested $1,500 per month in a 401k that also earned 6% annual return, but for 15 years. Which
of the following would be true?
Nancy's balance would be greater than Alex's in the end.
O Nancy's balance is $4,308 and Alex's balance is $3,595.
O Alex's balance would be greater than Nancy's in the end.
The investment and balance would be the same in the end.

Answers

Answer:

A and B

Step-by-step explanation:

Nancy's balance:

750*(1 + 0.06)^30 = $4308 rounded to whole number

Alex's balance:

1500*(1 + 0.06)^15 = $3595 rounded to whole number

Options:

A. Nancy's balance would be greater than Alex's in the end.

Correct

B. Nancy's balance is $4,308 and Alex's balance is $3,595.

Correct

C. Alex's balance would be greater than Nancy's in the end.

Incorrect

D. The investment and balance would be the same in the end.

Incorrect

The equations y = tan^2 (x) and y = 1 are graphed below. According to the graphwhich of the following is part the solution to the trigonometric inequality tan^2 (x) < 1 over the interval 0 <= x <= 2pi radians?

Answers

Answer: a

Step-by-step explanation:

just took test edg2020

The part of the solution of the equation that lies in the solution region of the inequality is x = π/6, the correct option is A.

What is an Inequality?

An Inequality is a statement that is formed when two expressions are joined using an inequality operator.

The equation is

y = tan²x

y = 1

the inequalities are

tan²x < 1   ( 0≤ x ≤ 2π)

The graph of the system of equations and the inequality is plotted, and attached with the answer.

The answer can be seen as  x = π/6.

To know more about Inequality

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Divide 7560 in the ratio 4 : 5

Answers

Answer:

3360 4200

Step-by-step explanation:

I NEED ANSWER ASAP PLEASE
NEED HELP

Answers

That’s all I know, I’m not that smart when it comes to math

help:) Factor f(x) = 4x^3+ 23x^2- 70x + 16 into linear factors given that - 8 is a zero of f(x).

Answers

Answer:

(x + 8)(x - 2)(4x - 1)

Step-by-step explanation:

Given that x = - 8 is a zero then (x + 8) is a factor

Divide f(x) by (x + 8) using Synthetic division

- 8 | 4    23    - 70    16

        ↓  - 32      72   - 16

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

        4    - 9       2       0

Quotient = 4x² - 9x + 2 = (x - 2)(4x - 1)

Thus

f(x) = (x + 8)(x - 2)(4x - 1)

 

2. Which relation below is NOT a function?
A. {(-2, 4), (1,3), (0,4)}
B. {(5,5), (4,4), (3,3) }
C. {(-4,0), (-7,0), (11, 0)}
D. {(1,4), (2,5) (1,7)}

Answers

C is the answer to that question i think

Answer:

b

Step-by-step explanation:

The answer is B because different X values cannot have the same y values. For example in A the x values, -2 and 0, have the same y value 4. That's not possible.

Although C also has a similar problem ALL of the X values have the same y value meaning that the function is an undefined function which is still a type of function. Its basically a function where all the y values are the same.

y=x+5 and y=3x-3 I need to get this in a ordered pair

Answers

9514 1404 393

Answer:

  (x, y) = (4, 9)

Step-by-step explanation:

Perhaps the ordered pair you want is the one that satisfies both equations.

We can find that by equating the expressions for y:

  x +5 = 3x -3

  8 = 2x . . . . . . . . add 3-x to both sides

  4 = x . . . . . . . . . divide by 2

  y = 4+5 = 9

The ordered pair is (x, y) = (4, 9).

The Jones family has a monthly income of $6,500. The budgeted the following: Retirement savings $700, Emergency savings $550, and Housing expenses $1,300. Which of the following shows the percentage of income used for housing expenses

Answers

Answer:

1867

Step-by-step explanation:

took the test

I didn't grasp this topic too well. can someone help me?

Answers

Answer:

2 hours

Step-by-step explanation:

I'm pretty sure its 2 hrs. If she did not take any breaks, she would have made it in 2 hrs due to her taking a 2 hr break. If its not 2 hours,  its 3. But I am 99% sure its 2 hrs.    

what is the value of the digit in the tens place? 6,423​

Answers

Answer: 20 :)

Step-by-step explanation:

Determine whether the two lines are parallel, perpendicular, coinciding, or only intersecting. y = - 2x + 7 6x + 3y = 1 Choose the correct answer below. coinciding O only intersecting O parallel O perpendicular​

Answers

Answer:

Intersecting

Step-by-step explanation:

8,900 incoming freshman to a university take an entrance exam, with the top 10% being offered admission to the university's honors program. The average test score is 78%, with a standard deviation of 11%. Use a calculator to find what the student must score to be invited to join the honors program if only 65 scores are looked at to determine the honors admissions requirement.

Answers

Answer:

The student must score 79.75% to be invited to join the honors program.

Step-by-step explanation:

Let X denote the score of a freshman in the entrance exam.

It is provided that the average test score is 78%, with a standard deviation of 11%.

It is provided that the top 10% being offered admission to the university's honors program.

Let x denote the score eligible for being offered admission to the university's honors program.

Then, P (X ≤ x) = 0.90.

Then P (Z < z) = 0.90.

The corresponding z-score is, 1.28.

*Use a z-table.

Compute the value of x as follows:

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n}}\\\\1.28=\frac{x-78}{11/\sqrt{65}}\\\\x=78+(1.28\times \frac{11}{\sqrt{65}})\\\\x=79.75\%[/tex]

Thus, the student must score 79.75% to be invited to join the honors program.

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