For the function f(x)=|x−7|−4, evaluate f(x+1).

Answers

Answer 1

Answer:

[tex]\displaystyle{f(x+1)=|x-6|-4}[/tex]

Step-by-step explanation:

To evaluate [tex]\displaystyle{f(x+1)}[/tex], substitute [tex]\displaystyle{x}[/tex] to [tex]\displaystyle{x+1}[/tex] so we should have:

[tex]\displaystyle{f(x+1) = |x+1-7|-4}[/tex]

Evaluate the expression and finally, we have:

[tex]\displaystyle{f(x+1)=|x-6|-4}[/tex]

Learn More

https://brainly.com/question/27923727 - How to find inverse and value of function


Related Questions

X+(x^2+2)+y=4


Find 2 coordinates
(X,y) (x,y)

Answers

Answer: (-2,0) and (1,0)

Step-by-step explanation:

If y=0, then:

[tex]x+x^2 + 2=4\\\\x^2 + x-2=0\\\\(x+2)(x-1)=0\\\\x=-2, 1[/tex]

So, the points (-2,0) and (1,0) lie on the curve.

The points (-2,0) and (1,0) lie on the curve.

If y=0, then:

[tex]x+(x^2+2)+0=4\\x^2+x+2=4\\[/tex]

What is the coordinate of the axis?

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

[tex]x^2+x-2=0[/tex]

[tex]=\left(x^2-x\right)+\left(2x-2\right)[/tex]

[tex]=x\left(x-1\right)+2\left(x-1\right)[/tex]

[tex]=\left(x-1\right)\left(x+2\right)[/tex]

[tex]x=-2,x=1[/tex]

So, the points (-2,0) and (1,0) lie on the curve.

To  learn more about the coordinates visit:

https://brainly.com/question/17206319

#SPJ1

(a) 3.1563x106
(b) 5.65x10-4 convert to usual form​

Answers

Answer:

[tex](a) \: 3.1563 \times {10}^{6} = 31563 \times {10}^{6} \times {10}^{ - 4} = 31563 \times {10}^{6 - 4} = 31563 \times {10}^{2} = 3156300[/tex]

__o__o__

[tex](b) \: 5.65 \times {10}^{ - 4} = 565 \times {10}^{ - 4} \times {10}^{ - 2} = 565 \times {10}^{ - 4 - 2} = 565 \times {10}^{ - 6} = 0.000565[/tex]

Write an expression in factored form for the polynomial of least possible degree graphed below.

Answers

The expression in factored form for the polynomial of least possible degree graphed will be y(x) = (x + 3)(x + 2 )(x - 1 )(x - 3 )

How to factor the polynomial?

From the graph, the zeros of the polynomial of given graph are:

x = -3

x = -2

x = 1

x = 3

Equate the above equations to zero

x + 3 = 0

x + 2 = 0

x - 1 = 0

x - 3 = 0

Multiply the equations

(x + 3)(x + 2 )(x - 1 )(x - 3 ) = 0

Express as a function gives;

y = (x + 3)(x + 2 )(x - 1 )(x - 3 )

Hence, the factored form of the polynomial will be y = (x + 3)(x + 2 )(x - 1 )(x - 3 )

Read more about polynomials at:

brainly.com/question/4142886

#SPJ1

what is the domain and range of this graph

Answers

Answer:

Domain: All real number
Range: y≤-4

factorise b^2 + 7b + 10

Answers

Step-by-step explanation:

b²+7b+10

Common factors are 5,2

b²+7b+10

b²+2b+5b+10

b(b+2)+5(b+2)

(b+2)(b+5)

Hope it helps.✨✨

The sum of 9 consecutive integers is 369. The middle integer is:
A. 38
B.35
C.41
D.10
PLEASE ANSWER QUICKKKk

Answers

We have an odd number of consecutive integers, therefore the middle one is equal to the average of all of them. And since the average is equal to the sum of the numbers divided by their number, the middle integer in this problem is equal to 369 divided by 9, which is equal to 41.

Here is the histogram of a data distribution. All class widths are 1.

Which of the following numbers is closest to the mean of this distribution?

A.3
B.5
C.7
D.9
E.4

Answers

I think the answer is be

a rhombus has perimeter 120 M and one of its diagonal is 50 M find the area of the Rhombus

Answers

The area of the rhombus is 829.1562m².

What is the area of the rhombus?

A rhombus is a four sides quadrilateral with the four sides equal in length

The area of a rhombus =  [tex]\frac{1}{4}d[/tex] ×√(p² - 4d²)

where p is the perimeter and d is the diagonal

1/4(50) x √(120² - 4 x 50²) =829.1562m²

To learn more about a rhombus, please check: https://brainly.com/question/22825947

#SPJ1

What is the product?
2 3
5 9 -1 -7
11 5 -3
10 15 20
45 -5 -35
55
10
4 2
55
7
14
25 -15
45 -1 -7
315
+7 9
CO
8
9
4 1-2

Answers

Answer:

A.

Step-by-step explanation:

Hello, this is what we call matrix. multiplication matrix to be precised.

so it is;

5×2=10

5×3=15

5×4=20

5×9=45

5×-1= -5.

5×-7= -35

5×11=55

5×5=25

5×-3= -15.

i hope you understand. That is matrix for you but it has different categories

Triangle LMN is congruent to triangle FGH, as shown.
Go
65
Mark this and return
5-
4
3
321
2-
-6-5-4-3-2-14 2 3 4 5 6
یہ ب
-2
-3
FL
4
5
6
H
X
What is the length of side LM?
units
Next
Submit

Answers

Answer: 5

Step-by-step explanation:

If [tex]\triangle LMN \cong \triangle FGH[/tex], this means that [tex]\overline{LM} \cong \overline{FG}[/tex] by CPCTC.

Using the distance formula,

[tex]FG=\sqrt{(-3-0)^{2}+(-4-0)^{2}}=5\\\\\therefore LM=\boxed{5}[/tex]

Which of the numbers below are whole numbers? Check all that apply.
A. 734.895
B. 0.7538
C. 7
D. 5429.97
E. 616
F. 401119.8

Answers

Answer:

7, 616 because there is no floating point

A
Find the value of x.
Round to the nearest tenth.
19°
B
142°
X
x = [?]
Law of Sines: sin A
42
sin B
b
sin C
C

Answers

The value of x will be equal to x = 79.

What is the triangle?

Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.

For an isosceles triangle, the value of two opposite angles is equal and the opposite sides are also equal.

The Sum of the three angles is equal to 180 degrees so the third angle will be calculated as:-

Angle = 180 - 142 - 19 = 19

Now applying Lami's theorem in the triangle we will get the third side.

[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]

[tex]\dfrac{Sin 19}{42}= \dfrac{Sin142}{x}[/tex]

[tex]x = \dfrac{42\times Sin 142}{Sin19}[/tex]

x = 79

Therefore the value of x will be equal to x = 79.

To know more about triangles follow

https://brainly.com/question/17335144

#SPJ1

Answer:

Step-by-step explanation:

The percentage of automobile consumers who are under 50 years of age decreased approximately linearly from 58.8% in 1980 to 50.5% in 1995. (a) Predict when the percentage will be 47% (b) Predict the percentage in 2005

Answers

Using a linear function, we have that:

The percentage will be 47% during the year 2001.

The predicted percentage in 2005 is of 44.97%.

Given that, the percentage of automobile consumers who are under 50 years of age decreased approximately linearly from 58.8% in 1980 to 50.5% in 1995.

What is a linear function?

Linear functions are those whose graph is a straight line. The standard form of the linear function is f(x)=y= mx + b. A linear function has one independent variable and one dependent variable.

Where, m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0 and can also be interpreted as the initial value of the function.

The percentage in 1980 is considered as the initial amount, so b = 58.8. In 15 years, the percentage decreased from 58.8% to 50.5%, hence the slope is given by: m = (50.5 - 58.8)/15 = 0.5533.

Thus, the percentage in t years after 1980 is P(t) = 58.8 - 0.5533t.

Now, t + 1980, for which P(t) = 47.

So, P(t) = 58.8 - 0.5533t

47 = 58.8 - 0.5533t.

0.5533t = 11.8.

t = 11.8/0.5533

t = 21.3.

1980 + 21 = 2001, so the percentage will be 47% during the year 2001.

Now, 2005 is 25 years after 1980, so the percentage is P(25), given as follows: P(25) = 58.8 - 0.5533x25 = 44.97%.

More can be learned about linear functions at brainly.com/question/21107621.

#SPJ1

If f(x) = 4x² + 1 and g(x)=x²-5, find (f+ g)(x). ( x ) = 4x² + 1 and g ( x ) = x² - 5 , find ( f + g ) ( x ) .​

Answers

Answer: [tex]5x^{2}-4[/tex]

Step-by-step explanation:

[tex](f+g)(x)=f(x)+g(x)=4x^{2}+1+x^{2}-5=\boxed{5x^{2}-4}[/tex]

Which of the following is the center and radius of the circle?

x2 + y2 + 4x – 14y + 46 = 0

Center (2, –7); r = 7
Center (–4, 14); r equals square root 46
Center (4, –14); r = 46
Center (–2, 7); r equals square root 7

Answers

The centre of the circle is (-2,7) and the radius is √7 ,  Option D is the right answer.

What is the standard equation of a Circle ?

The standard equation of a Circle is

(x-h)² +(y-k)² = r²

where h and k is the centre of the circle , r is the radius

The given equation is

x² + y² + 4x – 14y + 46 = 0

x² +4x +4 -4 +y² -2.7y + 49-49+46 = 0

(x + 2)² + (y-7)² -4-49+46 = 0

(x + 2)² + (y-7)²= 7

Therefore the centre of the circle is (-2,7) and the radius is √7 ,

Therefore Option D is the right answer.

To know more about Standard Equation of Circle

https://brainly.com/question/13658927

#SPJ1

Give the “best” big-oh notation to describe the complexity of the algorithm that prints all bit strings of length n.

Answers

It is correct to state that a bit can be in one of 2 states, either 1 or 0.

What is a bit?

A bit is is a single binary digit. A bit can either be "1" or "0".

What is the explanation to the above answer?

We stated that It is correct to indicate that a bit can be in one of 2 states, either 1 or 0. This indicates that 2ⁿ strings must be created in total. The string must then be processed twice.

The first time, for generation andThe second for reading.

Hence, Our time is now O(2ⁿ⁺¹) = O(2ⁿ)

Learn more about bits at;
https://brainly.com/question/2263640
#SPJ1

What is breaking probation?

Answers

Answer:

a probation violation occurs when someone who has already been sentenced for a crime breaks the terms or conditions of that probation

Pls help me with my math

Answers

Answer:

d.

Step-by-step explanation:

Left line is defined when x < 1 (x is less than 1). The point is not full and that means that x = 1 is not included.

Right line is defined when x is greater or equal to one x ≥ 1.

Options that have x < 1 and x ≥ 1 are b and d, so the answer is one of those.

Equations of the lines are in slope-intercept form y = mx + b, where m is slope and b is y-intercept.

Right line has steeper slope than left line, so the slope of right line will have bigger absolute value. That is the case with option d. (Left line has slope -1 and right one has slope -2, absolute value of right slope is bigger.)

You could also check with y-intercepts. Left line has y-intercept at y = 2 and left line is defined when x < 1. Only option d meets these conditions.

The percentage of automobile consumers who are under 50 years of age decreased approximately linearly from 58.8% in 1980 to 50.5% in 1995.
(A) Predict when the percentage will be 47%.
(B) Predict the percentage in 2005.

Answers

Using a linear function, we have that:

a) The percentage will be 47% during the year of 2001.

b) The predicted percentage in 2005 is of 44.97%.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The percentage in 1980 is considered as the initial amount, hence b = 58.8. In 15 years, the percentage decreased from 58.8% to 50.5%, hence the slope is given by:

m = (50.5 - 58.8)/15 = 0.5533.

Hence the percentage in t years after 1980 is given by:

P(t) = 58.8 - 0.5533t.

Item a:

This is t + 1980, for which P(t) = 47, hence:

P(t) = 58.8 - 0.5533t

47 = 58.8 - 0.5533t.

0.5533t = 11.8.

t = 11.8/0.5533

t = 21.3.

1980 + 21 = 2001, hence the percentage will be 47% during the year of 2001.

Item b:

2005 is 25 years after 1980, hence the percentage is P(25), given as follows:

P(25) = 58.8 - 0.5533x25 = 44.97%.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

An automobile tire has a diameter of 59m. What is the circumference of the tire

Answers

185.4m  (rounded to 1dp)

Circumference of a circle is the diameter times by pi. 59×pi=185.4

Answer:

59 meters

or approximately 185.26 ( using 3.14 for pi)

or 185.3539666 meters using the pi button

Step-by-step explanation:

The circumference is given by

C = pi *d where d is the diameter

C = pi * 59 m

C = 59 pi meters

We can approximate pi by 3.14

C =185.26 meters

or by using the pi button the calculator

185.3539666 meter

The Pythagorean Theorem What is the length of BC in the right triangle below? с 12 O A. 15 B 9 A B. √63 OC. 63 ​

Answers

Answer:

A. 15

Step-by-step explanation:

9 12 15 is a

3 4 5 right triangle

Pythagorean Theorem

9^2+12^2=c^2

81+144=c^2

225

√225=√c^2

15=c

A survey asked 20 mobile phone dealers how many mobile phones were sold during the previous week. Their answers are displayed in the Box-and-Whisker Plot and the Stem-and-Leaf Plot shown. Which graph can be used to find the mean? What is the mean of the data set?

A. Stem-and-Leaf Plot, Mean: 41.95
B. Stem-and-Leaf Plot, Mean: 42.55
C. Box-and-Whisker Plot, Mean: 43.65
D. Box-and-Whisker Plot, Mean: 38.80

Answers

Answer:

= B

Step-by-step explanation:

C is the answer for this question

Solve the equation for x.
2(x + 4) = 2
5
x = [?]

Answers

Answer:

x=1

Step-by-step explanation:

(2(x+4))/5=2

Multiply both sides by 5

2(x+4)=10

Divide both sides by 2

x+4=5

subtract 4 from both sides

x=1

What is the equation of the line passing through the point (2,-4)

Answers

Answer:

y = m(x - 2) - 4

Step-by-step explanation:

Equation of a straight line is given by;

y = mx + c

Take a point on the line (x, y) and the given point (2, -4)

gradient = change x/ change in y

gardient(m) = y +4/ x - 2

m(x-2) = y + 4

y = m(x - 2) - 4

Enlarge the shape on scale factor 0

Answers

Answer:

Multiply with 2 to the original sides

Please answer all 5 xoxo <3

Answers

Answer:

First Image:         Option D

Second Image:   Option D

Third Image:       Option C

Fourth Image:     Option B

Fifth Image:         Option B

Step-by-step explanation:

First Image:

Supplementary angles is two angles whose sum is 180 degrees (straight line)180 - 47 = 133°? is an obtuse angle is any angle greater than 90° which checks the answer

Second Image:

A triangle angles adds up to 180° Two angles are already given72 + 45 + ? = 180° → 117 + ? = 180° → ? = 63°? is an acute angle is an angle that measures between 90° and 0°

Third Image:

Supplementary angles is two angles whose sum is 180 degrees (straight line)180 - 110 = 70°? is an acute angle is an angle that measures between 90° and 0°

Fourth Image:

Supplementary angles is two angles whose sum is 180 degrees (straight line)180 - 120 = 60°we are shown a right angle which = 90°A triangle adds up to 180° 180 - 90 - 60 = 30? = 30°? is an acute angle is an angle that measures between 90° and 0°

Fifth Image:

Supplementary angles is two angles whose sum is 180 degrees (straight line)180 - 85 = 95°? is an obtuse angle is any angle greater than 90° which checks the answer

Learn more about Triangles here: https://brainly.com/question/4186813

Need help with this geometric question

Answers

Answer: A

Step-by-step explanation:

[tex]V=\frac{1}{3}Bh\\\\V=\frac{1}[3}(6.3)(2.4)(3.6)=\boxed{18.144}[/tex]

Given f(x)=2x^2-1 and g(x) =3x-5 what is f-g

Answers

[tex]f(x)-g(x)=(2x^{2}-1)-(3x-5)=2x^{2}-1-3x+5=\boxed{2x^{2}-3x+4}[/tex]

A researcher is examining the claims made by a water softener salt manufacturer. He performs an experiment using water from a variety of sources. For each water source, he has a sample with no treatment and a sample treated with the recommended amount of the water softener salt.

He then tests each sample to measure the softness and compares the results, determining that the claims made by the manufacturer are true.

The conclusion drawn from the study is ___ because the sample is __ In this instance, an __ study was performed.

Answers

The conclusion drawn from the study is instance because the sample is homogenous and an experimental study was performed.

What is an experimental study?

An experimental study deals with a dependent variable and there is a dependent variable.

Also, a control is used to establish the validity of the results.

The dependent variable is the level of softness after treatment while the independent variable is the type of water softener used.

The conclusion drawn from the study is instance because the sample is homogenous and an experimental study was performed.

Learn more about the experiment:

brainly.com/question/9199868

#SPJ1

The intensity of a radio signal from the radio station varies inversely as the square of the distance from the station. suppose intensity is 8000 units at a distance of 2 miles. what will the intensity be at a distance of 11 miles? round your answer to the nearest unit.


The answer is B. 222 Units

Answers

The answer is b 222 units
Other Questions
a) The____style formats only character, not paragraph. (a) {(1) + (1)+(2500)} x2 What is the answer to this question? I need help!! Quadratic Equation Question What term does the formula sin A/a = sin B/b represent? Write the correct informal command and direct/indirect object pronouns.Example: Comer un pizza= cmelaPreparar unas galletas QUESTIONS The government of Athens was designed to : A. give more power to women .B.build the strongest military in Greece . C.allow citizens to have a say in the government .D. stop people from owning slaves . Please help me with this problem! If you could please graph it that would be awesome! Write a short paragraph (at least 5 sentences) about your favorite movie. Use a combination of independent and dependent clauses. favorite movie being "Sandlot"and highlight or underline the examplesPLEASE HELP?!? Identify the height of a triangle in which b=12 m and A=(18x6) m^2. SHOW YOUR WORK!!! What are some interesting facts about parrots? Which event in Russian history does the sentiment of this passage most point to?the crowning of Nicholas II, and the bourgeois enjoyment of luxuries the start of World War I, and Russias hopes of benefitting from itthe beginning of collectivization, and the idea that all should share in wealththe Soviet famine, in which so many people died due to poorly planned policiesMark this and return Aurora's Day Aurora was going to turn 15 years old in a few months. This significant day would mark her coming of age in Mexican culture. She looked forward to the privileges of sitting with the adults at family gatherings. However, Aurora was disappointed to learn that she would not be given the traditional quinceaera, a celebration that would honor her transition from childhood to adulthood. Aurora was sad because she had dreamt of wearing a beautiful gown and being the center of attention at a fancy party. "Mija, lo siento. My daughter, I am sorry. Qu lstima! What a pity! We just can't afford such an expensive party," Aurora's mom said. Aurora cried and pouted, but that didn't change the circumstances. Ta Claudia tried to lift Aurora's spirits by saying that she would still have fun attending her friends' quinceaeras, but that only made Aurora feel worse. Yet, Aurora tried her best to have a good attitude in the weeks leading up to her day. Aurora stopped complaining that she would not have a quinceaera and began to get excited about going to her friends' special parties. On day of Aurora's was to have her party, her mom woke her early. "Mija, I have a surprise for you," Aurora's mom said. "What is it, Mama?" Aurora asked. "You will have a quinceaera!" Aurora's mom said. "But, how?" Aurora asked. "Tu familia, your family, has worked together to make the celebration possible. Now get up! There is a lot to do!" Aurora's mom said. Aurora was overwhelmed with joy. She quickly rose and helped her mom with the final preparations. At 4:00 p.m., Aurora's grandma, Abuelita Milagra, arrived at Aurora's home. She carried a large bag. "You must get dressed, mi amor, my love!" Abuelita Milagra said. Aurora took the bag from her grandma and ran to her bedroom. Inside the bag, she found an exquisite white satin dress, a pair of white slippers, and a special book. Abuelita Milagra made sure that Aurora had a traditional white gown to symbolize purity, instead of a brightly colored modern one. Aurora slipped on the dress and the shoes and ran to show her mom and grandma. "Mija, you look like an angel!" Aurora's mom said. Abuelita Milagra hugged and kissed Aurora. Then, she reached inside her purse and pulled out a necklace with a delicate gold heart. She placed the necklace around Aurora's neck. "Otra cosa, another thing," Abuelita Milagra said. Aurora's dad entered the kitchen carrying a sparkling rhinestone tiara. "Mi princesa, my princess, I have a crown for you. You are my precious daughter. You have made your family proud by working hard at school, and by being truthful and kind," Aurora's dad said as he placed the tiara on her head. Then, Aurora and her family drove to a family members house for a special meeting. Aurora received hugs and gifts from aunts and uncles. Next, she gave her younger cousin Sofa a doll. Aurora had received that same doll from her older cousin Pearla when Pearla had turned 15. At last, it was time to celebrate. Aurora and her family went to a local restaurant where all of her friends and extended family were gathered. Dressed in a tuxedo, Aurora's friend Ramn served as her escort for the evening. He shyly complimented her appearance, took her arm, and walked her to the stage. "Mil gracias, mi familia! A million thanks, my family! I will never forget this day!" Aurora said into the microphone. "We love you, Aurora!" everyone shouted. 1 Based on the passage, why is the narrator upset that she will not have a quinceaera? A. She will be deprived of a special celebration to mark an important milestone in her life. B. She worries that people will treat her like a little girl for the rest of her life. C. She is afraid that her friends will be disappointed that she cannot invite them to a big party. D. She believes that her parents and extended family do not care about her. Reset Submit The building of roads, water systems, city walls, and places for food storage are all called public works; what was the purpose of public works?a. To force slaves to do the hard workb. To intimidate and warn neighboring groupsc. To make people's lives better (pls help) Explain four different types of text structure. (can be any four) In the Battle of Quebec, Wolfe foundand he ended up takingthe fortress of Quebec.A. a path that was poorly guarded by the French,B. a secret entrance that the French were unawareof,C. the main door unbolted, Taylor's computer randomly generate numbers between 0 and 4, as represented by the given uniform density curve.A graph titled Random number generated by computer has random number on the x-axis. A horizontal line is at y = one-fourth from 0 to 4.What percentage of numbers randomly generated by Taylor's computer are less than 0.5?12.5%25%50%87.5%Picture posted below the function of Federalism central government The word-skipping technique involves:A. skipping to the end of a passage with unfamiliar words.B. focusing on the main idea of a passage.C. replacing unfamiliar words with synonyms from a thesaurus.D. distracting yourself with pictures and drawings. What complex number is represented by the polar coordinates (4, -pi/4)