How does
modifying the input or the output of a linear e
function rule transform its graph?

Answers

Answer 1

Answer:

Step-by-step explanation:

Adding a constant k to the output of a linear function translates the graph vertically by k units. If k < 0 k<0 k<0, then the translation is downwards and if k > 0 k>0 k>0. Adding a constant k to the input of the function translates the graph horizontally by k k k units.


Related Questions

And adult plate costs $8
A child plate costs $5
Total plates sold is 272
Total value is $1,933

How many of each plate were sold?

Answers

191 of adult plates and 81 child plates were sold.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given,

Adult plate costs A= $8

Child plate costs C=$5

Total plates sold is 272

A+C=272..(1)

8A+5C=1,933..(2)

C=272-A

Substitute in equation 2

8A+5(272-A)=1933

8A+1360-5A=1933

1360+3A=1933

Subtract 1360 on both sides

3A=1933-1360

3A=573

Divide both sides by 3

A=191

Now substitute A value in 1

191+C=272

Subtract 191 on both sides

C=272-191

C=81

Hence, 191 of adult plates and 81 child plates were sold.

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Please nswer this question.

Answers

Answer:

4.75 megabytes per second

Step-by-step explanation:

500-25 = 475

475 / 100 = 4.75

The answer would be 5 mega bites per second

This exercise uses, the population growth model
A culture starts with 8300 bacteria, After 1 hour the count is 10,000 .
(a) Find a function that models the number of bacteria n(t) after t hours. (Round your r value to three decimal places.)
n(t)=8300(1)
(b) Find the number of bacteria after 2 hours. (Round your answer to the nearest hundred.)
17485.75 x bacteria
(c) After how many hours will the number of bacteria double? (Round your answer to one decimal place.)
50times

Answers

Using an exponential function, the rate of growth is 20.482%, the number of bacteria after two hours is 12048.21 and the doubling time of the bacteria is 3.7 hours

Exponential Function

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function.

A) The rate of growth can be calculated as

Data;

P = 8300A = 10000r = ?x = 1 hour

Writing this in an exponential function;

A = P(1 + r)ˣ

10000 = 8300(1 + r)¹

r = 0.2048

r = 20.482%

B)

Substituting the values into the function above

x = 2

A = 8300(1 + 0.2048)²

A = 12048.21

C)

For the bacterial to double, the time will be

2 = (1 + 0.2048)ˣ

x = 3.7 hours

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URGENT-50 POINTS + brainly
What is the sum of the series sum from n equals 1 to infinity of negative 3 times three eighths to the n power question mark

Answers

The required sum of the series sum from n equals 1 to infinity is -9/5

What is geometric series of infinity?

geometric series, in science, a  infinite series of the structure a + ar + ar^2 + ar^3+⋯, where r is known as the common ratio. A basic model is the mathematical series for a = 1 and r = 1/2, or 1 + 1/2 + 1/4 + 1/8 +⋯, which joins to an amount of 2 (or 1 on the off chance that the initial term is barred).

According to question:

We have,

GP; -3(3/8), -3(3/8)^2,................ -3(3/8)^∞

Common ratio(r) = 3/8, a = -9/8

S(1 to ∞) = a/(1 - r)

S(1 to ∞) = -9/8(1 - 3/8)

S(1 to ∞) = -9/8/5/8

S(1 to ∞) = -9/5

Thus, sum of geometric series is -9/5.

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When you apply the method to complete the square to find the solution to the equation
2x^2 +3x +3=4
What term should we sum/add on both sides of the equation?

A. 9
B. 9/4
C. 3/2
D. 9/16

Answers

Answer:

B

Step-by-step explanation:

x² + 3x + 3 = 4 ( subtract 3 from both sides )

x² + 3x = 1

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2( [tex]\frac{3}{2}[/tex] )x + ([tex]\frac{3}{2}[/tex] )² = 1 + ( [tex]\frac{3}{2}[/tex] )²

(x + [tex]\frac{3}{2}[/tex] )² + [tex]\frac{9}{4}[/tex] = 1 + [tex]\frac{9}{4}[/tex]

that is [tex]\frac{9}{4}[/tex] is added to both sides

Lisa received 20% discount on a video game she bought. The discount was $5. What is the
regular price of the video game?

Answers

The regular price of the video game is 25$ if you mean the discount was $5 off
the answer is 25. 5x100x20=25

Carson measured a line to be 2.2 inches long. If the actual length of the line is 2.3 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

Answers

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

The percentage error of the measurement is 47.8%.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

The actual length of the line = 2.3 inches

The measured length of the line = 2.2 inches

The error length of the line.

= 2.3 - 2.2

= 1.1 inches

The percentage error of the measurement.

= 1.1/2.3 x 100

= 47.8%

Thus,

The percentage error of the measurement is 47.8%.

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What is the solution of this inequality?

r−6>−11

Drag and drop the choices to correctly complete the inequality.
help

Answers

The solution to the given linear inequality, r - 6 > -11, is r > -5

Solving Linear Inequalities

From the question, we are to determine the solution of the given inequality

The given inequality is

r - 6 > -11

To determine the solution of the inequality, we will solve the inequality for the unknown variable.

In the inequality, the unknown variable is r.

Solving the inequality for r

r - 6 > -11

Add 6 to both sides

r - 6 + 6 > -11 + 6

r > -5

Hence, the solution is r > -5

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help pls

What is the average rate of change of the function on the interval from x = 3 to x = 5?

f(x)=10(2)x

Answers

Answer: 1560

Step-by-step explanation: The average rate of change of a function over an interval is the total change in the value of the function divided by the length of the interval. In this case, the function is f(x) = 10(2)^x and the interval is [3, 5].

To find the average rate of change of the function over the interval, we can first evaluate the function at the two endpoints of the interval, which are x = 3 and x = 5. At x = 3, the function has a value of f(3) = 10(2)^3 = 80. At x = 5, the function has a value of f(5) = 10(2)^5 = 3200.

The total change in the value of the function over the interval is then the difference between the values at the two endpoints, which is f(5) - f(3) = 3200 - 80 = 3120.

The length of the interval is 5 - 3 = 2, since it goes from x = 3 to x = 5. Therefore, the average rate of change of the function over the interval is the total change in the value of the function divided by the length of the interval, which is (3120) / 2 = 1560.

Therefore, the average rate of change of the function f(x) = 10(2)^x on the interval [3, 5] is 1560.

Select all the equations that represent a line passing through the point (5,-2) with a slope of 4.

Answers

Answer:

y = 4x - 22

Step-by-step explanation:

y = 4x + b

-2 = 4(5) + b

-2 = 20 + b

b = -22

y = 4x - 22

A 9-inch candle burns down in 12 hours. At what rate does the candle burn, in inches per hour?


(Pls help)

Answers

Answer: 0.75 inches per hour

Step-by-step explanation:

9/12=0.75
0.75 x 12 = 9
0.75 inches per hour

Answer:  4.5 hours.

Step-by-step explanation:

Use a proportion.

3 3/8 = 3.375

9 inch is to 12 hours as 3.75 inches is to x hours.

9/12 = 3.375/x

3/4 = 3.375/x

3x = 4 * 3.375

x = 4 * 1.125

x = 4.5

Answer: 4.5 hours

Using the simplex tableau solve for the LPP.
Objective function z=x1+2x2
Constraints
2x1 + x2<8
X1 + x2 <5
X1,x2>0

Answers

The values of the objective function obtained for the given set of equation is 7.

Define the term LPP?The goal of the Linear Programming Problems (LPP) is to determine the best value for a given linear function. The ideal value may be either the highest or lowest value. The specified linear function is regarded as an objective function in this situation.

For the stated question-

Objective function z = x1+2x2

Constraints

2x1 + x2<8   ....eq 1x1 + x2 <5   ....eq 2x1, x2>0   .....eq 3

Subtract equation 2 from 1.

x1 = 8 - 5

x1 = 3

Put value if x1 in eq 2

x1 + x2 = 5  

x2 = 5 - 3

x2 = 2

Put the values of x1 and x2 in Objective function

z = x1 + 2x2

z = 3 + 2x2

z = 7

Thus, the values of the objective function obtained for the given set of equation is 7.

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PLEASE PLEASE HELP ASAP WILL GIVE BRAINLIEST
A regular polygon is shown, with one of its angle measures labeled a.
If ma = (5z + 65)°, find the value of z.
Oz=15
Oz=20
Oz=23
Oz=41
a

Answers

Answer:

z = 15

Step-by-step explanation:

I got it right on my exam ( i luckily guessed it, but trust me.)

The graph of x=6(y+6)^2+1 is a parabola with vertex ​(−6​,1​) and opening to the right.

answer options:

Answers

By the definition of the vertex form of the quadratic equation x - 1 = 6 · (y + 6)² has its vertex at (h, k) = (- 6, 1) and opens to the right. (Correct choices: A, B)

How to determine the features of a quadratic equation

In this problem we find the definition of a quadratic equation in vertex form, whose axis of symmetry is parallel to the x-axis. This form of quadratic equation is described below:

x - h = C · (y - k)²

Where:

(h, k) - Coordinates of the vertex.C - Vertex constant.


Please notice that the parabola opens to the right (+ x direction) when the vertex constant is greater than 0. By direct inspection, we have the following conclusions:

The vertex of the parabola is (h, k) = (1, - 6).The parabola opens to the the right.

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Complete the sentence using sum, difference, product, qoutient, or factor

1- The expression 20 + (8/2) is the _____ of 20 and (8/2). The expression 8/2is the _____ of 8 and 2.

2- The expression 11 x 6 has two ___, namley 11 and 6, because it is the _____ of those expressions.

Answers

Answer:

1- The expression 20 + (8/2) is the 30 of 20 and (8/2). The expression 8/2 is the 10 of 8 and 2.

2- The expression 11 x 6 has two 6s, that is, 11 and 6, because it is the 66 of those expressions.

can anyone help me? I don't know the answer.

Answers

Answer: 27/70

the area of the shaded rectangle

Step-by-step explanation:

9/10 and 3/7 of the rectangle are shaded on top and bttom. So you multiple this together and you will get 27/70

9/10 x 3/7 = 27/70

Dan reads his favorite series of books at a rate of 19
pages per hour. If Dan has already read the series for
34 hours but still has 1193 pages left, how many pages
are in the series altogether?

Answers

Answer:

Step-by-step explanation:

mult 19 buy 34 to find total number of page read then add page left = 1839

When Max moved to a
new school in 6th
grade, there were
only 3 other kids he
knew at the entire
school. There were
367 kids in the school.
What percentage of
kids did Max know?

Answers

the equation is (3/367)x100
the answer is =0.82%

A new corporation has established itself and is set to start selling shares of stock. On the first day, you purchase 100 shares of stock at $23.00 per share. Three years later, you sell the stock for $45.00 per share.
a. How much did you net from the sale?
b. Was this a capital gain or a capital loss?

Answers

a) The net for the sale is: $4,500

b) The capital gain is $2,200

How much did you net from the sale?

We know that you had 100 shares, now the value of each of these is $45.00, then the amount that you make if you sell the 100 shares is:

S = 100*$45.00 = $4,500

How to get the capital gain?

The capital gain is the difference between the amount we found above and the amount you paid for the shares.

The price of the shares was $23.00, then the amount you paid is:

C = $23.00*100 = $2,300

Then the capital gain is:

g = $4,500 - $2,300 = $2,200

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What is 31+4 × [11-(1+3)] =

Answers

Answer:

59

Step-by-step explanation:

31+4 × [11-(1+3)]

31+4*[11-4]

31+4*(7)

31+28

59

The easy Answer is 59. When doing these types of questions remember:

Parentheses

Exponents

Multiplication

Divionsion

Add

Subtract

p. Determine which of the values in the set {-5, -1, 0, 3}, if any, make the equation 4 = m +5 - 2m true.

Answers

Answer:

None of the values.

Step-by-step explanation:

Simplify the given equation.

First, simplify by combining like terms. Like terms are terms that share the same amount of the same variables:

4 = m + 5 - 2m

4 = (m - 2m) + 5

4 = -m + 5

Next, isolate the variable, m. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

-

First, subtract 5 from both sides of the equation:

4 = -m + 5

4 (-5) = -m + 5 (-5)

4 - 5 = -m

-1 = -m

Next, isolate the variable m. Remove the negative sign by dividing -1 from both sides of the equation:

(-1)/-1 = (-m)/-1

m = -1/-1 = 1

None of the values will make the equation true, as 1 is not a given value.

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Gayla Ojeda is trying to decide which of two different kinds of candy to sell in her retail candy store. One type is a name-brand candy that will practically sell itself. The other candy is cheaper to purchase but does not carry an identifiable brand name. Ms. Ojeda believes that she will have to incur significant advertising costs to sell this candy. Several cost items for the two types of candy are as follows: Brandless Candy Name-Brand Candy Cost per box $ 4.00 Cost per box $ 6.00 Sales commissions per box 1.00 Sales commissions per box 1.00 Rent of display space 900.00 Rent of display space 900.00 Advertising 3,000.00 Advertising 2,000.00

Required Identify each cost as being relevant or irrelevant to Ms. Ojeda’s decision and indicate whether it is fixed or variable relative to the number of boxes sold.

Answers

The costs as being relevant to Mrs. Ojeda's decision are Rent of display space 900.000 advertisement 3000 and irrelevant costs are commission,

How to determine relevant costs

We should know that the cost that differs from other costs in terms of alternative decision is called relevant cost, the irrelevant cost does not change as the result of a management decision.

Sales commission by brand 1.00    ........ Irrelevant to number of boxes

Rent of display space =900.000 ............ Relevant to number of boxes

Advertising cost = 3,000.00........................ Relevant to number of boxes

Cost per unit = 6.00 .................................. irrelevant to number of boxes

cost per unit of $4.00 ...................... Relevant to number of boxes

Fixed cost include the following

Rent of display  900.000

Variable costs are

Sales commission    1.00

Advertisement      2000

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URGENT 50 POINTS + BRAINLY
What is the sum of the infinite geometric series?
25 minus 10 plus 4 minus eight fifths plus continuing
The series diverges.

five halves
fifty sevenths
one hundred twenty-five sevenths
eighty-seven fifths

Answers

Answer: [tex]C. \frac{125}{7}[/tex]

Step-by-step explanation:

1. Find the sum of the infinite geometric sequence:

[tex]S = \frac{125}{7}[/tex]

2. Find the correct option:

C

The answer is C, 25 * per mm

-2x+7y=-16
-x-8y = 15

Answers

Answer:

y = -2

x = 1

Step-by-step explanation:

What is good IQ for an 11-year-old?

Answers

Between 30 and 50

Hope this helps!

If the change in velocity of a car is 30 m/s and the time interval is 5 seconds, the acceleration of the car is ________ m/s2

Answers

The acceleration of the car is 6m/s²

What is acceleration?

Acceleration is the rate of change of the velocity of an object with respect to time. Accelerations are vector quantities. Acceleration is measured in meter per second squared

It can also be defined as the ratio of the change in velocity to the time

Therefore acceleration is given as (v-u)/t

where v is the final velocity and u is the initial velocity, t is the time

therefore a= 30-0/5

a= 30/5

a= 6m/s²

therefore the acceleration of the car is 6m/s²

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Evaluate the expression 9x - 5 for the values of x given in the first column.
Value of x Value of expression
5
4
129
6
7

Answers

Answer:

Step-by-step explanation:

To fill the table using the expression

you have to replace each value with x and solve the expression

Answer:

Step-by-step explanation:

Expression : 9x - 5

To fill the table using the expression, you have to replace each value with x and solve the expression.

The answer is attached to the picture.

what is the volume of the composite figure 16 7 3 5 3 6

Answers

The total volume of the composite figure is; 381 m³

How to find the volume of the composite figure?

The formula for volume of a prism is;

V = Bh

where;

B is area of triangular base

h is height of prism

Thus;

V = (¹/₂ * 3 * 5) * 6

V = 45 m³

Volume of bottom cuboid is given by the formula;

V = Length * width * height

Thus;

V = 16 * 7 * 3

V = 336 m³

Total volume of composite figure = 45 m³ + 336 m³

Total volume of composite figure = 381 m³

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The table shows the lowest and highest record temperatures for three cities.Which city had the greatest change in the record temperature?

Answers

The city that had the greatest change in the recorded temperature is; 115°F

How to find the change in the function table?

We are given the following as the table showing the lowest and highest recorded temperatures for three cities

                            City:  Barrow  Budapest  Prague

Highest Temperature:     73         103           98    

Lowest Temperature:     -42        -10            -16    

The temperatures are given in Fahrenheit.

We have to find the cities with difference between their highest and lowest temperatures .

Change in temperature for the city of barrow = (73 - (42)) = 115°F

Change in temperature for the city of Budapest = (103 - (-10)) = 113°F

Change in temperature for the city of Prague = (98 - (-16)) = 114°F

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Complete question is;

The table gives the highest and lowest recorded temperatures for six cities. Which cities recorded a difference between their highest and lowest temperatures that is greater than or equal to 115°F? Select two answers.

A.Barrow

B.Budapest

C.Prague

D.Tehran

E.D e a t h Valley

F.London

Find the values of x and y.
x + 2 = 3y

Answers

The number of solution of the equation x + 2 = 3y will be infinite for the infinite value of 'x'. The solution is (1, 1).

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given below.

x + 2 = 3y

There is only one equation, so we have to assume 'x'.

If x = 1, then the value of the variable 'y' is given as,

3y = 1 + 2

3y = 3

y = 3 / 3

y = 1

Similarly, the number of solution of the equation x + 2 = 3y will be infinite for the infinite value of 'x'.

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