The function f(x) is graphed. It represents a translation of the square root function g(x) = .



What equation represents the graph of f(x)?

f(x) =
f(x) =
f(x) = – 1
f(x) = + 1

Answers

Answer 1

The equation that represents the graph of f(x) is [tex]f(x) = \sqrt {x - 1[/tex]

How to determine the equation of f(x)?

The complete question is in the attached image

The parent square root function is:

[tex]g(x) = \sqrt x[/tex]

From the graph,

g(x) is shifted one unit right to get f(x)

This is represented as:

f(x) = g(x - 1)

So, we have:

[tex]f(x) = \sqrt {x - 1[/tex]

Hence, the equation that represents the graph of f(x) is [tex]f(x) = \sqrt {x - 1[/tex]

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The Function F(x) Is Graphed. It Represents A Translation Of The Square Root Function G(x) = .What Equation

Related Questions

In a survey of 4096 adults, 733 oppose allowing transgender students to use the bathrooms of the opposite biological sex Construct a 99% confidence interval for the population proportionInterpret the results A 99% confidence interval for the population proportion is (Round to three decimal places as needed)

Answers

A 99% confidence interval for the population proportion is; CI = (0.164, 0.194)

How to construct the confidence Interval?

We are given;

Sample size; n = 4096

Number that opposed transgender students; x = 733

Thus;

Proportion; p^ = x/n = 733/4096 = 0.179

Formula for confidence interval of proportions is;

CI = p^ ± z√[p^(1 - p^)/n]

The z-value for confidence level of 99% is z = 2.576

Thus;

CI = 0.179 ± 2.576√[0.179(1 - 0.179)/4096]

CI = 0.179 ± 0.015

CI = (0.164, 0.194)

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Select the correct answer. Function f is an exponential function that is negative on the interval (-∞, 1) and positive on the interval (1, ∞). Which could be the graph of function f? A. An exponential function passes through (0, minus 6), (0.5, minus 2), (1, 0), (2, 2), (5, 3) B. An exponential function passes through (minus 1, minus 2), (minus 0.5, 0), (0, 1), and (4, 3) C. An exponential function passes through (minus 5, 3), (minus 2, 2), (minus 1, 0), and (0, minus 6) D. An exponential function passes through (minus 4, 3), (minus 1, 3.8), and (0, 5)

Answers

The exponential function which passes through (0,-2),(1,0),(2,2) (5,3) is negative on the interval (-∞,1) and positive on  the interval (1,∞).

Given Function f is negative on the interval (-∞,1) and positive on the interval (1,∞)

We have to find the statement for which the exponential function' s values are given.

First option is having the statement which says that exponential

function passes through points (0,-6)(0.5,-2),(1,0),(2,2) (5,3). These points are showing the domain and value of the function which is codomain.

for x=0 it has -6,

for x=1 it has 0,

for x=2 it has 2,

for x=5 it has 3.

for x=0.5 it has -2

The description says that value of function is negative in interval (-∞,1) and positive in (1,∞) which is true for option A as it has negative values of -2 for x=0 and for x=2,5 it has value of 2 and 3.

Hence the function f is an exponential function passes through  (0, minus 6), (0.5, minus 2), (1, 0), (2, 2), (5, 3).

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2₂
5
●x<0
X>0
●x< 1
3
2
A
-3
2 3
3
What is the domain of the function?
all real numbers
a

Answers

Answer:

x>0

Step-by-step explanation:

The domain of a function is the set of x-values.

explain in words with mathematical representations how you would dividie this polynomial in each of the three ways:

Answers

The division of a polynomial is illustrated below.

What is a polynomial?

It should be noted that a polynomial simply means an expression that consist of variables which involves the operation of addition, subtraction, etc.

The way to divide the polynomial will be:

Set up the division problem.

Determine the first term of the quotient.

Multiply the answer by the divisor.

Write it below the like terms of the dividend.

Subtract the bottom binomial from the term above it.

Bring it down and repeat the steps until you reach the last term.

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The diagram shows a square.
(7x + 3) cm
Find the length of the side of the square.
(5x + 8) cm

Answers

Answer:

28

Step-by-step explanation:

The diagram shows a square, and it is known that all side lengths for a square are equal. We can use these information on hand and write the following equation to find the side length:

7x + 3 = 5x + 8 transfer like terms to the same side of the equation

7x - 5x = 8 - 3 add/subtract

2x = 5 divide both sides by 2

x = 2.5 to find a side length simply replace x with 2.5

5x + 8 = 5*(2.5) + 8

5*(2.5) + 8 = 28

Quick PLEASE! Fred wants to have $25 000 saved in ten years to help pay for a down payment on a house. How much would he have to invest today to have enough money in ten years if the investment offers an interest rate of 6.0% compounded monthly. Make sure to show all your work.

Answers

The amount he would invest today to have enough money in ten years if the investment offers an interest rate of 6.0% compounded monthly is $13740.79

Compound interest

The formula for calculating the compound interest is given as:

A = P(1+r/n)^nt

Given the following parameters

25000 = P(1+0.06/12)^12(10)

25000 = P(1+0.005)^120

25000 = P (1.005)^120

25000 = 1.8194P

P =  25000/1.8194

P = $13740.79

Hence the amount he would invest today to have enough money in ten years if the investment offers an interest rate of 6.0% compounded monthly is $13740.79

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A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0, 1. The second column is labeled f of x with entries negative 10, 0, 0, negative 4, negative 6, 0. Which is a y-intercept of the continuous function in the table? (0, –6) (–2, 0) (–6, 0) (0, –2)

Answers

The y-intercept of the continuous function in the table is (0, –6)

Data obtained from the questionColumn 1 (x): -4, -3, -2, -1, 0, 1Column 2 [f(x)]: 10, 0, 0, -4, -6, 0y-intercept coordinate =?

How to determine the y-intercept coordinate

To determine the y-intercept coordinate, we must understand the y-intercept is a point on a graph where the line passes through the y-axis at x = 0.

With the above information in mind, we can easily obtain the y-intercept coordinate as follow:

From the the two columns given in the question, the value of y when x = 0 is -6.

Thus, the y-intercept coordinate is (0, -6)

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Suppose your weekly paycheck is $300.
Because of losses by your employer, you agree to a temporary 10% pay
cut.
Your employer promises to give you a 10% pay raise after six months.
Will the pay raise restore your original salary?
For full credit, you must explain why or why not in the space provided
below.

Answers

Answer:

No

Step-by-step explanation:

[tex]300 \times .9 \times 1.1 = 297[/tex]

The one-to-one functions g and h are defined as follows.

Answers

The value of g⁻¹(5) = 0, h⁻¹(x) = (x+10)/3, and the value of h(h⁻¹(5)) = 5 if  g = {(-4, 1), (0, 5), (5, -3), (8, -8)} and h(x) = 3x - 10

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

g = {(-4, 1), (0, 5), (5, -3), (8, -8)}

As we know,

If f(x) has an ordered pair (x, y) then its inverse of a function has (y, x).

g⁻¹ = {(1, -4), (5, 0), (-3, 5), (-8, 8)}

g⁻¹(5) = 0

h(x) = 3x - 10

h⁻¹(x) = (x+10)/3

h⁻¹(5) = 15/3 = 5

h(h⁻¹(5)) = 3(5) - 10

h(h⁻¹(5)) = 5

Thus, the value of g⁻¹(5) = 0, h⁻¹(x) = (x+10)/3, and the value of h(h⁻¹(5)) = 5 if  g = {(-4, 1), (0, 5), (5, -3), (8, -8)} and h(x) = 3x - 10

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The probability distribution for a
random variable x is given in the table.
X
-5 -3 -2 0 2
Probability .17 .13
3
133 16 .11 .10
Find the probability that -2 ≤x≤2

Answers

Considering the distribution given in the table, the desired probability is:

[tex]P(-2 \leq X \leq 2) = 0.6[/tex]

What is the probability distribution given in the table?

The distribution is:

P(X = -5) = 0.17.P(X = -3) = 0.13.P(X = -2) = 0.33.P(X = 0) = 0.16.P(X = 2) = 0.11.P(X = 3) = 0.10.

The values between -2 and 2(inclusive) are -2, 0 and 2, hence the desired probability is:

[tex]P(-2 \leq X \leq 2) = P(X = -2) + P(X = 0) + P(X = 2) = 0.33 + 0.16 + 0.11 = 0.6[/tex]

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Need help with this one can anyone help me?

Answers

Reflecting across the line AD
They share the same sides and they’re equal on both i believe

Find the sin T. Round to the nearest hundredth.​

Answers

Answer:

.38

Step-by-step explanation:

sin is the opposite side from angle T over the hypotenuse.

5/13

what are the values Of p and q ?​

Answers

The values of p and q in the function f(x) = 2x³ + 17x² - 3px - 5q is p = 8, q = 27

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

x - 3 (i.e. x = 3) and x + 9 (i.e. x = -9) are factors of f(x) = 2x³ + 17x² - 3px - 5q

Hence:

f(3) = 0

2(3)³ + 17(3)² - 3p(3) - 5q = 0  (1)

Also:

2(-9)³ + 17(-9)² - 3p(-9) - 5q = 0  (2)

Hence, p = 8, q = 27

The values of p and q in the function f(x) = 2x³ + 17x² - 3px - 5q is p = 8, q = 27

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I’m having some problems understanding. I get it but don’t at the same time.

Answers

Answer:

C is the correct answer.

Step-by-step explanation:

-Angle 1 is not equal to Angle 5.

-Angle 3 + Angle 5 will not equal 180 degrees, since they are corresponding angles, not supplementary angles.

Though, Angle 8 is equal to Angle 6, likewise that 7 is equal to 9. Therefore, these angles will create a 180 degrees angle. This is because if 8 and 9 are supplementary, and 7 is a corresponding angle of 9, this will make Angle 8 + Angle 7 = 180 degrees.

Beginning inventory, purchases, and sales for WCS12 are as follows:

Oct. 1 Inventory 300 units at $12
13 Sale 190 units
22 Purchase 390 units at $15
29 Sale 300 units
a. Assuming a perpetual inventory system and using the weighted average method, determine the weighted average unit cost after the October 22 purchase. Round your answer to two decimal places.

Answers

The weighted average unit cost after the October 22 purchase is $13.70.

What is the weighted average unit cost?

The weighted average unit cost determines the weighted average cost of all the purchased inventory.

[(300 x 12) + (390 x 15) ] / (300 + 390)

(3600 + 5850) / 690 = $13.70

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For an output level below Qg, the value of a unit to a buyer is
Suppose a firm that produces for this market is able to influence the market price, which leads to an outcome that differs from the free market
equilibrium shown in the previous graph. Such a situation is characterized by
, which is an example of
the cost of a unit to a seller.

Answers

Step-by-step explanation:

გჰჰბფჯ არ არის დაწერეთ პირველი კომენტარი არ არის დაწერეთ პირველი კომენტარი არ არის დაწერეთ პირველი

2=3√4x-12 x=? Please help with this question

Answers

Answer: 49/9

Step-by-step explanation:

[tex]2=3\sqrt{4x}-12\\\\14=3\sqrt{4x}\\\\\frac{14}{3}=\sqrt{4x}\\\\4x=\frac{196}{9}\\\\x=\frac{196}{36}\\\\x=\frac{49}{9}[/tex]

mer School)
Applying the Addition Rule of Mutually Exclusive Even
A day of the week is randomly chosen. What is the probability of choosing Monday or a day that starts with t
S?
Try It
P(Monday) =
P(starts with S) =
P(Monday or starts with S) =

Answers

Step-by-step explanation:

a probability is always the number of desired cases over the number of total possible cases.

in this situation the number of total cases is 7 : days of the week.

the 3 probabilities just differ based on the number of desired cases.

P(Monday) : there is only one desired case out of the 7 possible ones. so, the probability is

1/7 = 0.142857143...

P(starts with S) : 2 desired cases (Saturday and Sunday).

so the probability is

2/7 = 0.285714286...

P(Monday or starts with S) : 3 desired cases (Monday, Saturday, Sunday).

so the probability is

3/7 = 0.428571429...

What was the full commission rate if Sarah was paid $3,152.50 on the sale of a $97,000 property? Sarah's agreement with her broker is half of the full commission.

Answers

Answer:

6.5 %

Step-by-step explanation:

Full commission would then be   2 * 3152.50 = 6305

Full commission percentage of sale is then:

6305 / 97000   * 100 % = 6.5 %

A mother gives birth to a 9 pound baby. Every 2 months, the baby gains 4 pounds. If x is the age of the baby in months, then y is the weight of the baby in pounds.

Answers

Answer:

write three methods of writing set. Give one example of each method.

(1 point)
If A and B are 7 x 2 matrices, and C is a 4 x 7 matrix, which of the following are defined?
OA. CA
B. B - A
C. B-C
D. ABT
E. AC
OF. CT

Answers

The statements A, B, D, and E are defined.

When we multiply matrices, the number of columns of the 1st matrix must equal the number of rows of the 2nd matrix.

What is the subtraction of the matrix?

When we add or subtract matrices, the number of rows and columns must be the same.

A) If C is 7x3 and A is 3x2, that means C has 3 columns and A has 3 rows. So C * A is defined.

B) When you transpose a matrix, the number of rows and columns are switched. So C^T has 3 rows and 7 columns. So C^T is defined.

C) B has 2 columns and C has 7 rows, so B * C is not defined.

D) Because A and B have the same number of rows and columns, we can add them. So A + B is defined.

E) B^T has 2 rows and 3 columns, and C^T has 3 rows and 7 columns. So B^T has the same number of columns as the number of rows as C^T. So B^T * C^T is defined.

F) C and A have different numbers of rows and columns, so C-A is not defined.

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Translate this sentence into an equation.

22 more than Helena's score is 41.

Use the variable h to represent Helena's score.

Answers

22 more (+) than Helena’s score (h) is (=) 41
h+22=41

Help please with discussion

Answers

The sentence indicates that the increase in the value of a coin collection was exponential as such increase was continuous and constant in time. (Correct choice: A)

How to determine if a given relationship represents an exponential function

Exponential functions are trascendent expressions, these are, expressions that cannot be described algebraically, that are defined by the following expressions:

[tex]f(x) = a \cdot \left(1+ \frac {r}{100}\right)^{x}[/tex]     (1)

Where:

a - Initial valuex - Independent variablef(x) - Dependent variabler - Increase rate

Exponential functions are used to represent constant continuous increases or decreases in terms of the independent variable. The sentence indicates that the increase in the value of a coin collection was exponential as such increase was continuous and constant in time. (Correct choice: A)

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If np is greater than or equal to 5 and nq is greater than or equal to 5, estimate P (more than 9) with n=12 and p= 0.3 by using the normal distribution as an approximation to the binomial distribution, if np<5 or nq<5, then state that the normal approximation is not suitable

Answers

The normal approximation is not suitable as np<5.

Given,

mean = np

It turns out that if np and nq are both at least 5, the normal distribution can be used to approximate the binomial distribution. Additionally, keep in mind that a binomial distribution has a mean of np and variance of npq.

Hence apply the mean formula and get the value for np

n= 12 and p=0.

therefore mean = np

np = n×p

np = 12×0.3×

np = 3.6

np is less than 5.

nq=?

q=1-p

q=1-0.3

q=0.7

∴nq = 12 × 0.7

nq = 8.4

nq is not less than 5

It's remarkable that the normal distribution may accurately represent the binomial distribition when n, np and nq are large.

since here only nq is greater than five and np is less than five, therefore we conclude that normal approximation is not suitable.

Hence np<5 so normal approximation is not suitable.

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Eliminate the parameter in the equations x = 5cos(t) – 7 and y = 5sin(t) 9. how can the rectangular equation be described?

Answers

Recall that for all t,

cos²(t) + sin²(t) = 1

Now,

x = 5 cos(t) - 7   ⇒   (x + 7)/5 = cos(t)

y = 5 sin(t) + 9   ⇒   (y - 9)/5 = sin(t)

so that substituting into the identity above, we get

((x + 7)/5)² + ((y - 9)/5)² = 1

which we can rewrite as

(x + 7)²/25 + (y - 9)²/25 = 1

(x + 7)² + (y - 9)² = 25

and this is the equation of a circle centered at (-7, 9) with radius 5.


1. The cost of three dozen eggs and two dozen oranges is ¢6.96. The cost of two dozen eggs and one dozen
oranges is $4.08. What is the cost per dozen of each item

Answers

Answer:

$1.20 per dozen eggs, $1.68 per dozen oranges

Step-by-step explanation:

Let x=cost of one dozen eggs and y=cost of one dozen oranges.

3x + 2y = 6.96------>3x + 2y = 6.96

2x + y = 4.08-------->4x + 2y = 8.16

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

x = 1.20

4(1.20) + 2y = 8.16

4.80 + 2y = 8.16

2y = 3.36

y = 1.68

Answer:

The cost of one dozen of egg is 1.2

The cost of one dozen of orange is 1.68

Step-by-step explanation:

The solution is in the image

I have 28 students in my MAT121 class who recently took a test. Their results are graphed below.
a. What percent received a score less than 60?
b. How many students received a score greater than 85?

Answers

Considering the box-and-whisker plot, it is found that:

a) 25% of the students scored less than 60.

b) 25% of the students received a score greater than 85.

What does a box-and-whisker plot shows?

A box and whisker plot shows three things:

The 25th percentile, which is the median of the bottom 50%.The median.The 75th percentile, which is the median of the upper 50%.

From the plot given in the graph, we have that:

The 25th percentile is of 60, hence 25% of the students scored less than 60.The 75th percentile is of 85, hence 25% of the students received a score greater than 85.

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What are the solution points for the system graph?
Question 14 options:

A)

(–2,–4) and (4,8)

B)

(–2,8) and (–4,4)

C)

(8,–2) and (4,–4)

D)

(–2,4) and (–4,8)

Answers

Answer:

btyivh

Step-by-step explanation:

he was so much for your support of school and I have a great day of school and I have a great day of school and I have a great day of school

The solution points to the system graph are (–2,–4) and (4,8). Therefore, option A is correct.

We need to find the solution to the given function.

How to find the solution to the function from the graph?

The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be at the point where the two lines intersect.

From the given graph we can see that the two functions are intersecting at (–2,–4) and (4,8).

The solution points to the system graph are (–2,–4) and (4,8). Therefore, option A is correct.

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Write each of the following as a trigonometry ratio of positive acute angles. (a) sin(-194°) (b) cos 481° (c) tan 185° (d) sin 331° Write each of the following as a trigonometry ratio of positive acute angles . ( a ) sin ( -194 ° ) ( b ) cos 481 ° ( c ) tan 185 ° ( d ) sin 331 °​

Answers

(a) [tex]\sin(-194^{\circ})=-\sin 194^{\circ}=-(-\sin 14^{\circ})=\sin 14^{\circ}[/tex]

(b) [tex]\cos 481^{\circ}=\cos 121^{\circ}=-\cos 59^{\circ}[/tex]

(c) [tex]\tan 185^{\circ}=\tan 5^{\circ}[/tex]

(d) [tex]\sin 331^{\circ}=\sin(-29^{\circ})=-\sin 29^{\circ}[/tex]

A single die is rolled twice. Find the probability of getting a 1 the first time and a 4 the second time.

Answers

Answer:

1/36

Step-by-step explanation:

Rolling a 1 the first time has an 1/6 chance and rolling a 4 has an 1/6 chance the 2nd time.

1/6 * 1/6 = 1/36 chance.

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