f(x)= 1/x, vertically stretched by a factor of 7, reflected in the y-axis, translated 5 units to the right, and translated 3 units downward.

Answers

Answer 1

Answer:

-7/(x-5) - 3

Step-by-step explanation:

First off, to reflect an equation in the y axis, just multiply by -1. Now that it is reflected, to stretch an equation by a factor of 7, multiply it by 7. Now we have -7/x.

Then, to move an equation down by 3 units, simply subtract it by 3. Now we have -7/x - 3.

Lastly, since you want to translate it 5 units to the left, you want the equation to be undefined at x = 5 (because originally it is undefined at x = 0). To do that, set the denominator to x - 5. We arrive at our answer: -7/(x-5) - 3.

Answer 2

Using translation concepts, it is found that the new definition for the function is:

[tex]g(x) = -\frac{7}{x - 5} - 3[/tex]

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

The parent function is:

[tex]f(x) = \frac{1}{x}[/tex]

A vertical stretch by a factor of a means that the function is multiplied by a.Factor of 7, thus:

[tex]g(x) = 7 \times \frac{1}{x} = \frac{7}{x}[/tex]

Reflection over the y-axis means that we have g(-x), thus:

[tex]g(-x) = \frac{7}{-x} = -\frac{7}{x}[/tex]

Translating a units to the right is g(x - a), 5 units, thus:

[tex]g(x) = -\frac{7}{x - 5}[/tex]

a units downward means that a is subtracted from the function, 3 units, thus:

[tex]g(x) = -\frac{7}{x - 5} - 3[/tex]

A similar problem is given at https://brainly.com/question/19383602


Related Questions

rounded to the nearest tenths place : 2.03

Answers

Answer:

2....................

Answer:

rounded to the nearest tenths place : 2.03 is 2.0

Step-by-step explanation:

it is because 3 is lower than 5 so the number would decrease and it will be 2.0

is the equation true or false

Answers

the equation is true

Substances sometimes shrink when they dry. A silicone sheet dried and over time shrank – 6 11 inch for every linear foot. Which repeating decimal is equivalent to – 6 11 ? Negative 0.ModifyingAbove54 with bar Negative 0.5ModifyingAbove4 with bar Negative 0.54 Negative 0.8ModifyingAbove3 with bar

Answers

Answer:

they were right the answer is A give them brainliest

Step-by-step explanation:

Answer:

please mark brainiest please I showed you they didn't

Step-by-step explanation:

Which statements are true? Select the five correct answers.

O √1.8 1
O √1.8 2
O √1.9 - √1.8 > 0.1

Answers

Answer:

it is A,B,C,E

Step-by-step explanation:

if thease our wrong then i am sorry i took the quiz 3 weeks ago and cannot quite remember what choices they were but i am pretty sure it was those if not then leave it to my brain to not remember

The simplest form of the function is f(x) = x2. The graph is a parabola often called the basic parabola.

What is a parabola?

A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. A parabola can be described using a point and a line.

here, we have,

Three different parabolas exist. Vertex form, standard form, and intercept form are the three forms. You can access a unique key feature for the graph on each form.

Any point on a parabola is at an equal distance from both the focus, a fixed point, and the directrix, a fixed straight line. A parabola is a U-shaped plane curve.

Solve f{x}=x-2?

f(x)=x-2    x∈R

x≤0

x-2≤2

Range of f(x)=[∞,2)

To learn more about parabola refers to:

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complete question:

9. Which of the following statements are true? Check the boxes of the true statements.

and, attached below.

Help me brush pls I am totally dunk at mat

Answers

Answer:

Proportional

Step-by-step explanation:

A proportional graph is a straight line that passes through the origin.

A non-proportional graph can be a straight line, but it does NOT pass through the origin.

Therefore, this is a proportional graph.

Hope this helps :)

The endpoints of segment MP areM(-2,-4) and P(8,11) . If K portions MP in a ratios of MK:KP= 1:4, what are the coordinates of K?

Answers

Answer:

The coordinates of k are (-2,-1)

Step-by-step explanation:

Here, we are interested in calculating the coordinates of point k.

Mathematically, we will use the internal division formula for this;

This would be;

(x,y) =( nx1 + mx2)/(m + n), (ny1 + my2)/(m + n)

where m = 1 , n = 4

x1 = -2 , x2 = 8

y1 = -4 , y2 = 11

we now make the substitutions into the formula;

(x,y) = 4(-2) + 1(-2)/(1+4) , 4(-4) + 1(11)/(4 + 1)

(x,y) = (-8-2)/5 , (-16 + 11)/5

(x,y) = -10/5 , -5/5

(x,y) = (-2, -1)

-3/2(x - 5) = -12. ​

Answers

Answer:

x=13

Step-by-step explanation:

Estimate 5/7 x 1/9 who can be the first to answer

Answers

It is 0.07936 b the way you write it

The ratio of trucks to cars in an auto show is 7 to 8. If there are a total of 21 trucks, how many cars are there?

Answers

Answer:

The answer is 24.

Explain:

7 times 3 is 21. So 8 times 3 is 24.

What is m∠PQR?

The PS is line segment. Q is the point between segments PS. QR is another line segment passes through segment PS. The angle PQR is (3x + 5) degree and angle SQR is (x + 3) degree.

Answers

Answer: m∠PQR = 134°

Step-by-step explanation:

Given:  PS is line segment. Q is the point between segment PS. QR is another line segment passes through segment PS.

That means ∠PQR and ∠SQR are linear pair  [Linear pair is a pair of two angles made on one line and their sum is 180°]

⇒  ∠PQR +  ∠SQR  = 180°  (i)

Since, ∠PQR is (3x + 5)° and ∠ SQR is (x + 3)°   [given]

Put this in (i), we get

(3x + 5)° + (x + 3)° = 180°

⇒ 3x + 5 + x + 3 = 180

⇒ 4 x + 8 = 180

⇒ 4 x = 180-8

⇒ 4 x = 172

Divide both sides by 4

⇒  x= 43

So,  ∠PQR=  (3(43) + 5)° = 134°

Hence, m∠PQR = 134°

The measure of m ∠PQR is 134 degrees.

Given

PS is a line segment.

Q is the point between segment PS.

QR is another line segment that passes through segment PS.

Which property of the triangle is used to solve the value of x?

The sum of two angles made on one line is equal to 180 degrees.

[tex]\angle \rm PQR + \angle SQR = 180[/tex]

Where the angle QPR is (3x + 5) degree and angle SQR is (x + 3) degree.

Substitute all the values in the equation

[tex]\angle \rm PQR + \angle SQR = 180\\\\(3x+5) + (x+3) =180\\\\3x+5+x+3=180\\\\4x+8=180\\\\4x=180-8\\\\4x=172\\\\x = \dfrac{172}{4}\\\\x =43[/tex]

The value of x is 43 degrees.

Therefore,

The measure of m ∠PQR is;

[tex]\rm m \angle PQR = 3x+5 = 3(43) + 5= 129+5=134[/tex]

Hence, the measure of m ∠PQR is 134 degrees.

To know more about the Properties of triangles click the link given below.

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Solve the equation for the given variable.
-2 (x + 6) = 8

Answers

Answer:

x = -10

Step-by-step explanation:

-2 (x + 6) = 8

-2x + -12 = 8

+12 +12

-2x = 20

÷ -2 ÷ -2

x = -10

Answer:
x=10

STEP BY STEP EXPLANATION:

1. distribute -2(x+6) to get a total of -2x+-12
2. Add 12 on both sides and you’re left with -2x=20
3. Now you divide -2 on both sides.., now you’re left with x=10

a+2xy=14 solve for y

Answers

Answer:

y= (14-Ax)/(2x)

Step-by-step explanation:

it is 14 I got u don't worry

choose all the numbers that are factors of 16
A. 2
B. 16
C. 3
D. 4
E. 8
F. 12
G. 6
H. 5
I. 10
J. 1​

Answers

2, 4, 8, and 1 i belive

what is the measure of the following angle?
AOD​

Answers

Answer:

it's 80.

Step-by-step explanation:

120-40= 80

....

Answer: 80

Step-by-step explanation:

hope this helps

Can someone tell me if idid this right i’m confused.

Answers

no u didn’t, the line is wrong. from the point -1 it should intercept (-2,-4) and (2,2)
Yes but the point for x should be a little closer to the one but not on it if that makes sense. If it doesn’t than I’d say that yup it’s correct.

Suppose v varies directly as g, and v = 36 when g = 4. Find v when g = 11

Answers

Step-by-step explanation:

v=kg

36=k×4

k=36/4

k=9

v=9×11

v=99

V= 99

36/4= v/11
9=v/11
Multiply both sides by 11 to get rid of /11
99=v

pleas e help me quickly !!

Answers

Answer:

100

Step-by-step explanation:

Just so you know, there is a thing called calculator

You should really get one if you are asking such questions

Or maybe, IDK maybe DON'T BE LAZY AND LEARN TO DO SIMPLE CALCULATIONS

I really need help pls!

Answers

Answer:

I think 2 if it is right then follow me

what is the value of x??

Answers

Answer:

[tex]\displaystyle 25 = x[/tex]

Step-by-step explanation:

You are given the angle of the whole set, so set both expressions equivalent to the given angle measure:

[tex]\displaystyle 166° = 66° + [4x]° \hookrightarrow \frac{100}{4} = \frac{4x}{4} \\ \\ \boxed{25 = x}[/tex]

I am joyous to assist you at any time.

Mrs. Coners grades 120 math tests in 3
hours. Mrs. Bing grades 100 math tests in
2 hours. Who grades math tests at a
quicker rate?

Answers

Mrs. Bing in an hour coners does 40 tests bing does 50

Answer: The answer is Mrs. Coners.

Explain: It is Mrs. Coners because she graded 60 math test pages 2 hours,

it would be 40 math test pages per 1 hour each. <-- (3 hours)

Mrs. Bing graded 50 math test pages 1 hour each. 50 times 2 = 100.

Therefore, your answer is Mrs. Coners.

#LearnWithBrainly!

Find the area of the shape.

Answers

7 x 6 = 42 x 5 = 210 x 8 = 1,680 x 4 = [ 6,720 ]

Which fraction is equivalent to this decimal?
0.16 repeating
A. 1/16
B. 16/100
C. 1/6
D. 1/3

Answers

Answer: B

16/100 = 0.16

0.16 is 16/100 exactly.

1/16 = 0.000625

1/6 = 16.666...

1/3 = 33.33...

So, the answer is 16/100.

Hope this helps!

The fraction is equivalent to the decimal number 0.16 will be 16/100. Then the correct option is B.

What is an equivalent expression?

The equivalent is the expression that is in different forms but is equal to the same value.

The decimal number is the sum of a whole number and part of the fraction number. The fraction number is greater than zero but less than one.

The decimal number is given below.

⇒ 0.16

The fraction is equivalent to the decimal number 0.16 will be

Multiply and divide the number by 100. Then the fraction number will be

⇒ 0.16 x 100 / 100

⇒ 16 / 100

The fraction is equivalent to the decimal number 0.16 will be 16/100. Then the correct option is B.

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convert 171 lbs into kg​

Answers

the answer would be 77.56 kg
hope this helped!
the answer is: 77.564 kg

what is 3x-2-7x = 10x + 4?

Answers

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x−2−7x=10x+4

3x+−2+−7x=10x+4

(3x+−7x)+(−2)=10x+4(Combine Like Terms)

−4x+−2=10x+4

−4x−2=10x+4

Step 2: Subtract 10x from both sides.

−4x−2−10x=10x+4−10x

−14x−2=4

Step 3: Add 2 to both sides.

−14x−2+2=4+2

−14x=6

Step 4: Divide both sides by -14.

−14x−14=6−14

x=−3/7

Answer:

x=−3/7

The  value of x is -3/7.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

3x-2-7x = 10x + 4

Now, solving for x

3x-2-7x = 10x + 4

-4x - 2= 10x + 4

-4x - 10x = 4 + 2

-14x = 6

x= -6/14

c= -3/7

Hence, the value of x is -3/7.

Learn more about equation here:

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You have $121 in a savings account and save $1 2
per week. Your friend has S9 I in a savings
account and saves SI 7 per week. How many
weeks will it take for you and your friend to have
the same balance?

Answers

It will take 6 weeks for you and your friend to have the same balance.

First, you must set up your equation, with [tex]x[/tex] representing the amount of weeks

until you and your friend have the same balance.

[tex]121+12x=91+17x[/tex]

Then, you must subtract 91 on both sides.

[tex]30+12x=17x[/tex]

Next, subtract 12x on both sides.

[tex]30=5x[/tex]

Finally, divide 5 on each side

[tex]x=6[/tex]

twinks are a social experiment

Answers

Answer:

Step-by-step explanation:

whT

In a certain​ chemical, the ratio of zinc to copper is 3 to 19. A jar of the chemical contains 760 grams of copper. How many grams of zinc does it​ contain?

Answers

Answer:

760-19

x-3

x=760*3=2280

2280/19=120g of zinc

Step-by-step explanation:

You go shopping at a local department store with your friend and cousin. You buy one pair of jeans, four pairs of shorts, and two shirts for $84. Your friend buys two pairs of jeans, one pair of shorts and three shirts for $76. Your cousin buys one pair of jeans, two pairs of shorts and one shirt for $52. Find the cost of one pair of shorts.​

Answers

Answer:

So, cost of 1 pair of shorts =$12

Step-by-step explanation:

Let cost of 1 pair of jeans =x

Cost 1pair of shorts =y

cost of 1 pair of shirts=z

We can set up equations as

x+4 y+2 z=84

2 x+1 y+3 z=76

x+2 y+z=52

Solve the equations for y.

Take first and second equations multiply first equation by -2 and add it with second equation.

-2 x-8 y-4 z=-168

2 x+1 y+3 z=76

Add them, it gives -7 y-z =-92

Now, take second and third equations, multiply the third equation by -2 then add them together.

2 x +1 y +3 z =76

-2 x-4 y-2 z=-104

Add them together,

-3 y +z =-28

Now, take the -7 y -z =-92 and -3 y +z =-28

Add the equations

-10 y = -120

Divide both sides by -10

y =12.

So, cost of 1 pair of shorts =$12

z=8

Write a linear function f with the values f(-6) = 10 and f(2) = 10

Answers

Its 5 your welcome—-

-8x - 5= -1 when x =2

Answers

Answer:

= -21

Step-by-step explanation:

i did it on a calculator

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