15.
Identify a transformation of the function ƒ(x) = x by observing the equation of the function g(x) = x – a.


A horizontal shift a units to the right.


A vertical shift a units downward.


A horizontal shift a units to the left.


A vertical compression by a factor of 1/a.

Answers

Answer 1

Answer:

A horizontal shift a units to the right.

Step-by-step explanation:

f(x) =x, is a line with the the x-intercept at (0,0)

g(x) = x-a, is a line that has the same slope as line f(x) , yet has a x-intercept at (a,0) the line moved a units to the right


Related Questions

Calculate the average speed in km/h for a plane that travels 1300km in 4 hours??

Answers

Answer:

The plane is going 325 kilometers per hour :)

Step-by-step explanation:

To find the average speed per hour, divide 1300 by 4.

1300/4 = 325

after allowing 20% discount an article is sold for rs.672 levying 12% VAT, find its market price​

Answers

The market price is Rs. 750 which was obtained by creating a mathematical relationship from the given parameters.

PERCENTAGE DISCOUNT = 20%

VAT LEVIED= 12%

PRICE SOLD = 672

Let the MARKET PRICE = m

Hence,

market price * (1 - discount) * (1 + VAT) = price sold

m * (1 - 20%) * (1 + 12%) = 672

m * (1 - 0.2) * (1 + 0.12) = 672

m * 0.8 * 1.12 = 672

0.896m = 672

m = 672 / 0.896

m = Rs. 750

Learn more :

https://brainly.com/question/20418815

The Market Price of the product is RS. 750.

The Market Price is calculated by dividing the components associated to Discount, which is less than 1, and the Value Added Tax, which more than 1, to the Resulting Price.

[tex]c_{M} = \frac{c_{R}}{\left(1-\frac{r_{D}}{100} \right)\cdot \left(1+\frac{r_{T}}{100} \right)}[/tex] (1)

Where:

[tex]c_{M}[/tex] - Market price, in monetary units.

[tex]c_{R}[/tex] - Resulting price, in monetary units.

[tex]r_{D}[/tex] - Discount rate, in percentage.

[tex]r_{T}[/tex] - Tax rate, in percentage.

If we know that [tex]c_{R} = 672[/tex], [tex]r_{D} = 20[/tex] and [tex]r_{T} = 12[/tex], then the market price is:

[tex]c_{M} = \frac{672}{\left(1-\frac{20}{100} \right)\cdot \left(1+\frac{12}{100} \right)}[/tex]

[tex]c_{M} = 750[/tex]

The market price of the product is RS. 750.

A square has a side length of 36 feet. This square is dilated by a scale factor of 23 to create a new square. What is the side length of the new square?

Answers

Answer:

828

Step-by-step explanation:

Multiple the side length by the dilation

36 x 23 = 828

find the value of x and y​

Answers

Answer x = 25°

In triangle ABC

Angle BAC = BCA

= 50

Because its isoceles triangle and base angles are equal.

x + x + 80 = 180

2x = 100

x = 50

Angle ACD is exterior angle so 80 + 50

= 130

Triangle ACD is also Isoceles Angle x = Angle CDA

130 + x + x = 180

2x = 50

x = 25

Maritza is comparing cell phones plans and notices that verizon offers a plan that is $60 for 10GB of data and $12 for each extra GB of data ore month. Create an expression to model this situation

Answers

Answer:

60 + 12 * g, with g representing the number of extra gigabytes

Step-by-step explanation:

First, we know that Maritza has to pay $60 for 10GB of data, no matter what. Therefore, the base cost of the cell phone plan is 60 dollars, and all extra costs must be added to that. Currently, our expression is therefore 60 + something = cost of cell phone plan.

After that, the plan costs $12 for each gigabyte of data past 10 GB. This means that, for example, if Maritza uses 11 gigabytes, the plan will cost 60 (the base amount) + 12 for each gigabyte past 10 GB. There are 11-10=1 extra gigabytes, so the cost is 60 + 12 * 1 = 72 dollars. For each extra gigabyte, 12 dollars are added, so we can represent this as

60 + 12 * g, with g representing the number of extra gigabytes

The mean of data set A is 43.5 and the MAD is 3.7. The mean of data set B is 12.8 and the MAD is 4.1. What differences would you expect to see when comparing the dot plots of the two data sets?

Answers

Answer:

MAD - mean absolute deviation is indication of the distance of data points from the mean.

Data set B shows the greater variability since has greater MAD.

It means the B data set is more spread compared to A data set.

determinar el decimal correspondiente
A)71% B)172% C)6%

Answers

[tex]71\% = \frac{70}{100} = \frac{7}{10} = 0.7 \\ 172\% = \frac{172}{100} = 1.72 \\ 6\% = \frac{6}{100} = 0.06[/tex]

Find the value of each variable. Lines that appear tangent are tangent, and the dot is the center. (Answer in the form a=? b=? c=? d=?)

Answers

Answer:

a = 60°/2 = 30°

b = 84/2 = 42°

c = (100+60)/2 = 80°

d = 360-100-60-84 = 116°

Answered by GAUTHMATH

if m JUST NUMBER 10. PLEASE HELP

Answers

pls snap the picture well so that the pre information can be seen and considered

find the measure of the missing angles in the kite​

Answers

Answer: 360 - 44 - 80 = 236

236 ÷ 2 = 118

both angle equal to 118

Step-by-step explanation:

The measure of angle 1 is 118 degrees and the measure of angle 2 is 118 degrees.

What is quadrilateral?

It is defined as the four-sided polygon in geometry having four edges and four corners.

We know that kite is quadrilateral, having :

It has one pair of opposite congruent angles.

One diagonal is bisected.

The top and bottom angles are bisected but

As we know from the kite properties it has one pair of opposite congruent angles

From the properties of the quadrilateral the sum of the interior angles is 360 degrees

44 + angle 1 + angle 2 + 80 = 360

Angle 1 = angle 2 = x(say)

44 + x + x + 80 = 360

2x + 124 = 360

2x = 236

x = 118 degrees

Angle 1 = angle 2 = 118 degrees

Thus, the measure of angle 1 is 118 degrees and the measure of angle 2 is 118 degrees or m∠1 = 118° and m∠2 = 118°.

Learn more about the quadrilateral here:

brainly.com/question/6321910

#SPJ5

Help with step by step solution please

Answers

Answer:

5/2

Step-by-step explanation:

The square root of 5 divided by the negative square root of 5 equals -1. 7/2 - 1 = 5/2.

4. Solve for x
please help!!

Answers

Answer:

x = -5

Step-by-step explanation:

Isolate the variable x:

-3x = 15

Since x is being multiplied by -3, we must find a way to cancel it out. To cancel -3 being multipled, divide by -3 instead. Remember, whatever we do to one side of the equation, we must do to the other!

-3x ÷ -3 = 15 ÷ -3

1x = -5

x = -5

Answer:

[tex] - 3x = 15 \\ \frac{ - 3x}{ - 3} = \frac{15}{ - 3} \\ x = - 5[/tex]

polynomials
a. x^2/3+x^3​

Answers

1/3x^2+x^3
Or
1/3x^2(1+3x)

(x-5)(3x-8)=(4-3x)(6-x)+13​

Answers

Answer:

x = 3

Step-by-step explanation:

Use FOIL method

(x - 5)(3x - 8) = x*3x + x*(-8) + (-5)*(3x) + (-5)*(-8)

                     = 3x² - 8x - 15x + 40        {Combine like terms}

                     = 3x² - 23x + 40

(4 - 3x)( 6 - x) = 4*6 + 4 *(-x) + (-3x)*6 + (-3x)*(-x)

                      = 24  - 4x - 18x + 3x²         {Combine like terms}

                     = 3x² - 22x + 24  

(x - 5)(3x - 8) = (4 - 3x)( 6 - x) + 13

3x² - 23x + 40 = 3x² -22x + 24  + 13

3x² - 23x  + 40 - 3x²  + 22x  - 24 - 13 = 0

3x² - 3x² - 23x + 22x  + 40 - 24 - 13 = 0   {Combine like terms}

0   - x  = 0

 -x +3= 0

         3 = x

x =3

THE LOGO SHOWN BELOW HAS A TOTAL AREA OF 125cm² AND THE SQUARE HAS SIDE LENGTH 5cm.CALCULATR THE WIDTH OF THE LOGO.

Answers

Answer:

Please show an image

simplify
[tex] \sqrt[6]{5} \times \sqrt[2]{5} = [/tex]
sumplify

Answers

Step-by-step explanation:

[tex] \sqrt[6]{5} \times \sqrt[2]{5} [/tex]

[tex] = {5}^{ \frac{1}{6} } \times {5}^{ \frac{1}{2} } [/tex]

[tex] = {5}^{ \frac{1}{6} + \frac{1}{2} } [/tex]

[tex] = {5}^{ \frac{1 + 3}{6} } [/tex]

[tex] = {5}^{ \frac{4}{6} } [/tex]

[tex] = {5}^{ \frac{2}{3} } [/tex]

[tex] = \sqrt[3]{ {5}^{2} } (ans)[/tex]

Can anybody help me? Thank you for your answers​

Answers

Answer:

x = 2y

Step-by-step explanation:

we don't need to do complicated trigonometric conversions. just try to express x by a term of y (or vice versa) and look.

so, starting with x = 2y.

if that is the case, then what is our equation looking like ? is it true ?

sin(2y - y)/sin(y) + cos(y - 2y)/cos(y) = 2

sin(y)/sin(y) + cos(-y)/cos(y) = 2

1 + cos(-y)/cos(y) = 2

cos(-y)/cos(y) = 1

cos(-y) = cos(y)

and yes, this is indeed true for all y. cos decreases from 1 to -1 with the increase of the absolute value of the angle from 0 to 180 degrees (meaning we could go up or down the same angle from 0, and cos would be the same), and then increases again to +1 for the increase of the absolute value of the angle from 180 to 360 degrees. and then it all starts again. and again, and again, ...

so, since the original equation is true under the assumption x=2y, this must be the correct option.

Number 2 let’s see who knows???

Answers

Answer:

13-3=10

10-4=6

Step-by-step explanation:

man id hate to have to do this work literally just use your fingers or something

examples of compound events

Answers

Answer:

the probability of rolling an even number on a die, then tossing a head on a coin.

Answer:

Step-by-step explanation:

                         The favorable outcome is rolling a five, and that can only occur once using one die. The total number of outcomes is six, since the die is 6-sided. So the probability of rolling a five is 1/6. 2) What is the probability that you will pull a heart out of a standard deck of cards?

10. A recipe for punch calls for 2 2/3 cups of fruit concentrate
and 6 3/4 cups of water.
How many cups of punch will the recipe make?

Answers

Step-by-step explanation:

Let's change 2 2/3 cups to 4/3 cups and change 6 3/4 cups to 18/4 cups. Okay now we need to find a number 4 and 3 both go into bucause they're the numbers on the bottom or the denominator 4 and 3 both go into 12 so now we put our numerator (the numbers on top) over 12.

The sum is now: 54/12 + 16/12 let's change that to 4 and 4/12 + 1 and 4/12= 5 and 8/12 simplify that to 5 and 2/3

find the slope and Y_intercept of the line 3x+y-9=0​

Answers

Answer:

slope: -3

y-intercept: 9

Step-by-step explanation:

To find the slope and y-intercept, we can manipulate the equation to slope-intercept form. Slope-intercept form is y=mx+b where m is slope and b is y-intercept.

[tex]3x+y-9=0[/tex]        [subtract both sides by 3x]

[tex]y-9=-3x[/tex]            [add both sides by 9]

[tex]y=-3x+9[/tex]

Now, our equation is in slope-intercept form. We can see that the slope is -3 and the y-intercept is 9.

I need help in this question

Answers

Answer:

Yes and 60 mi/h

Step-by-step explanation:

The slope of a distance-time graph represents the spped of an object. since the slope has been uniform, the body was travelling with a constant speed that is 120/2=60 mi/h

What is the surface area of the rectangular prism below?

A. 736 units2

B. 812 units2

C. 706 units2

D. 824 units2

Answers

Answer:it’s A

Step-by-step explanation:

took the test

Can anyone help me with this it’s question 2 help please

Answers

Answer: 2x³ + 2x² + 36

Working:

= (2x + 6) × (x² - 2x + 6)

= 2x³ - 4x² + 12x + 6x² - 12x + 36

= 2x³ -4x² + 6x² +12x -12x +36

= 2x³ + 2x² + 36

Answered by Gauthmath must click thanks and mark brainliest

I cannot see your question it’s blurry send me it

PLZ HELP I'LL GIVE BRAINY!!!! AND EXPLAIN


For this exponential function,
what is the output value (y),
when the input value (x) is 1?

y = 4.3x



(1, [?])

Answers

you have to plug in the x value to discover the y

y= 4.3 x 1

y = 4.3

so, the ordered pair is (1, 4.3)

hope it helps :)

Answer is y =4.3 that’s all filjkkks

Help anyone can help me do this question,I will mark brainlest.​

Answers

Step-by-step explanation:

GIVEN =

d= 49cm

[tex]\pi = \frac{22}{7} [/tex]

To find = Circumference of a circle

SOLUTION =

CIRCUMFERENCE OF THE CIRCLE = πd

[tex] \frac{22}{7} \times 49[/tex]

= 22 × 7

154cm

the circumference of the given circle is 154cm

Answer:

Step-by-step explanation:

5) diameter = d = 49 cm

Circumference = πd

                         [tex]= \frac{22}{7}*49\\\\= 22 *7\\\\= 154 \ cm[/tex]

6) d = 20 mm

Circumference = π* 20

                         = 20π mm

Can you help with number 9,10,12

Answers

for question 9 the answer will be in the photo

ABCD is a parallelogram.
BD is a diagonal.
Not
B
С
W
65°
A
D
Work out the size of angle W

Answers

Answer:

25

Step-by-step explanation:

180-90-65 = 25

Opposite angles are same

cho f(t)=(t-4)u(t-2)phep bien doi laplace la
F(s)=e^-2s/s^2-2e^-2s/s62

Answers

Step-by-step explanation:

cho f(t)=(t-4)u(t-2)phep bien doi laplace la

F(s)=e^-2s/s^2-2e^-2s/s62

When a certain number is divided by 48,72 or 100 the remainder in each case is 3.... Find the number

Answers

Answer:

The number is 4875

Step-by-step explanation:

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