If f(x) = (x + 9 and g(x) = --6, which describes the range of (f + g)(x)?
O (f+g)(x) 3 for all values of x

Answers

Answer 1

Given:

Consider the below figure attached with this question.

To find:

The value of [tex](f+g)(x)[/tex].

Solution:

The given functions are:

[tex]f(x)=|x|+9[/tex]

[tex]g(x)=-6[/tex]

Now,

[tex](f+g)(x)=f(x)+g(x)[/tex]

[tex](f+g)(x)=|x|+9+(-6)[/tex]

[tex](f+g)(x)=|x|+9-6[/tex]

[tex](f+g)(x)=|x|+3[/tex]

We know that,

[tex]|x|\geq 0[/tex]

Adding 3 on both sides, we get

[tex]|x|+3\geq 0+3[/tex]

[tex](f+g)(x)\geq 3[/tex]

So, [tex](f+g)(x)\geq 3[/tex] for all values of x.

Hence, the correct option is A.

If F(x) = (x + 9 And G(x) = --6, Which Describes The Range Of (f + G)(x)?O (f+g)(x) 3 For All Values

Related Questions

Which equation is equivalent to
y-1= 5(x+2) ?

Answers

Step-by-step explanation:

We can simply by opening the brackets ,

=> y - 1 = 5( x - 2 )

=> y - 1 = 5x - 10

=> y - 5x = -9

=> 5x - y + 9 = 0

The numbers below represent side lengths of various triangles. Which of the triangles are right triangle?

1. 5, 6, 9 A. Right triangle
2. 9, 11, 13 B. Not a right triangle
3. 20, 21, 29
4. 7, 24, 25
5. 9, 40, 41

Answers

Answer:

Step-by-step explanation:

Number 5

Solve the system of equations by substitution. Simplify your answer. Write the
solution as an ordered pair.
y= 3x - 13
3x + 2y = 19

Answers

Answer:

x = 5     y = 2

Step-by-step explanation:

3x + 2(3x - 13) = 19

3x + 6x - 26 = 19

9x = 45

x = 5

y = 3(5) - 13

y = 15 - 13

y = 2

ILL GIVE BRAINLIEST IF ANSWERED GOOD. DUE IN AN HOUR.. Write a quadratic equation that is the same width as y = -2x^2+ x + 1.

Answers

Answer:

The answer is:

y=-2x+2+x+1

y=_2x+x+2+1

y=x+3

Hope it helps

De 1.620 trabajadores de una empresa textil 7/9 trabajan en confeccion y el resto en tareas administrativas. ¿cuantos trabajadores trabajan en confeccion?

Answers

Answer:

The number of employees work in clothing is 1260.

Step-by-step explanation:

Out of 1,620 workers in a 7/9 textile company work in clothing and the rest in administrative tasks. How many workers work in clothing?

Total workers = 1620

employees works for clothing = 7/9

So, the number of employees = 7/9 x 1620 = 1260

Usando la informacion dada, veremos que el número de trabajadores que trabajan en confección es 1,260.

Sabemos que hay un total de 1,620 trabajadores en la empesa textil.

7/9 de ellos trabajan en confección.

Queremos ver el número de trabajadores que trabaja en confección, para ello, simplemente debemos multiplicar la fracción del número total que trabaja en confección por el número total, es decir:

N = (7/9)*1,620 = 1,260

1,260 trabajadores trabajan en confección.

sí quieres aprender más, puedes leer:

https://brainly.com/question/12668006

Need help ASAP thanks

Answers

Answer:

B 15 has to be the answer i think but ion fully know

Answer:

b 15%

Step-by-step explanation:

WRITE AN EQUATION THAT REPRESENTS THE LINE. USE EXACT NUMBERS.

Answers

Answer:

[tex]y=\frac{6}{5}x-5[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Plug in the two given points (0,-5) and (5,1)

[tex]m=\frac{1-(-5)}{5-0}\\m=\frac{1+5}{5-0}\\m=\frac{6}{5}[/tex]

Therefore, the slope of the line is [tex]\frac{6}{5}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\frac{6}{5}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=\frac{6}{5}x+b[/tex]

On the graph, we can see that when x is 0, y is equal to -5 (we're also given the point (0,-5). Therefore, the y-intercept of the line is -5. Plug this back into the equation:

[tex]y=\frac{6}{5}x-5[/tex]

I hope this helps!

Answer:

y = 6/5x - 5

Step-by-step explanation:

To find the equation of a linear line you need 2 things: the slope and the y-intercept.

The slope can be found by taking two points and dividing the change in y by the change in x. Using the two points highlighted, the slope would be (1 - -5)/(5-0) = 6/5.

The y-intercept is where the line crosses the y-axis, which on this line is at -5. Then plug in this information into point slope form, y = mx + b, where m is the slope.

So you get y = 6/5x - 5.

Here is standard form too if you need this instead: 6x - 5y = 25

How do you find the angle using a protractor

Answers

Answer:

Place the midpoint of the protractor on the VERTEX of the angle.

Line up one side of the angle with the zero line of the protractor (where you see the number 0).

Read the degrees where the other side crosses the number scale.

Step-by-step explanation:

Hope this helps!! :))

PLS HELP Find the value of x.
A. 30
B. 15
C. 45
D. 6

Answers

Answer:

B.

[tex](3x - 15) -(45 - x) = 0 \\ 4x -60 = 0 \\ 4x = 60 \\ x = 15[/tex]

I need help finding the solution

Answers

Answer:

170°

Step-by-step explanation:

The total degrees of a circle is 360°. So the math is pretty straight forward.

130 + 60 = 190           (First you find what the known degrees are together)

360 - 190 = 170          (Next you take that added total and subtract it from 360)

x = 170                        (And there you go! Your answer!)

I hope this helped :)

can u help me part 3..

Answers

Yup I can! (For the third time ;) )
This one was a bit tricky for me, So I am 90% sure ;)
Answer: 336pi in^2

Explanation: The explanation is quite long, so I won't go into much detail :) Just keep the formula in mind!! :>

If available please give me a Branliest. It would be much appreciated.

- Mathhotdog •~•

Change the units up above to the correct answer from (a) to (d)

Answers

Answer:

Step-by-step explanation:

1 cm = 10 mm

a) 0.1 cm = 1 mm

1 mm = 1000 m

b) 25000mm = 25 m

1 g = 0.001 kg

c) 7g = 0.007 kg

1ml = 0.000001

d) 30000ml = 0.03 kl

The newspaper in Haventown had a circulation of 80,000 papers in the year 2000. In 2010, the circulation was 50,000. With x=0 representing the year 2000, the graph below models this scenario.

A coordinate plane showing Newspaper Circulation, Years Since 2000 on the x-axis and Circulation on the y-axis. A line starting at (0, 80,000), passing through a point at (10, 50,000) and ending at (18, 25,000).

What number will complete the point-slope equation that models this scenario?

y−50,000=[_______](x−10)

−3,000
−2,000
2,000
3,000

Answers

Answer:

-3,000

Step-by-step explanation:

got it correct on edg

Answer:

-3000

Step-by-step explanation:

Right on edge 2021

What are the coordinates of the point on the directed line segment from (1,−6) to (8,8) that partitions the segment into a ratio of 4 to 3?

Answers

The coordinate of the point  on the directed line segment that partitions the segment into a ratio of 4 to 3 is (29/7,50/7)

How to determine the coordinate at the partition?

The given parameters are:

A = (-1,6)

B = (8,8)

Ratio, m : n = 4 : 3

The coordinate at the partition is calculated using:

[tex](x,y) = \frac{1}{m + n} * (mx_2 + nx_1,my_2 + ny_1)[/tex]

So, we have:

[tex](x,y) = \frac{1}{4 + 3} * (4 * 8 + 3 * -1,4 *8 + 3 * 6)[/tex]

Evaluate

[tex](x,y) = \frac{1}{7} * (29,50)[/tex]

Evaluate the product

(x,y) = (29/7,50/7)

Hence, the coordinate of the point is (29/7,50/7)

Read more about line partition at:

https://brainly.com/question/12959377

#SPJ1

Answer the questions please and no links

Answers

Answer:

3. would be one above the negative 5

4. 3 up from positive 4

5. would be on the negative 2

write the letters on those points respectively.

(4x^2+3x −5)+(x^2 −7x+10)

Answers

Answer:

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

Step-by-step explanation:

Jwywwusuwuhsjwiwiwiwiwjnexbdnjsjsjejjeje

please help with the question above!!

Answers

I honestly don’t know at all lol

Answer:

5

Step-by-step explanation:

1+2+2+3+3+3+4+5+6+6+7+7

+7+8+9 = 73

73/15 = 4.86667

you add all the numbers and divide by how many numbers there were.

so round it up and it should be 5.

Please I need help The original price of a car was reduced by $3000. Its discount price is now 16000

Answers

Answer:

$19,000

Step-by-step explanation:

The original or initial price of the car = discount price + amount by which the car was reduced

$16,000 + $3000 = $19,000

The percentage decrease in price = (amount discounted / original price) x 100

( $3000 / $19,000) x 100 = 15.79%

La velocidad maxima permitida en una autopista es de 120km/h. Se considera infraccion si se sobrepasa segun al rodar el 12% de esa velocidad. A que velocidad como minimo iba un conductor que cometio una infraccion

Answers

Answer:

La velocidad mínima a la que debe ir un conductor que cometa una infracción es de:

134.5 Km/h

O si se desea un número entero:

135 Km/h

Step-by-step explanation:

Para identificar la velocidad que debe levar un conductor para cometer una infracción, se deben tener en cuenta las pautas dadas en el ejercicio:

Velocidad Máxima Permitida: 120 Km/hCausa de infracción: Sobrepasar el 12% de la velocidad máxima.

Ahora debemos calcular el 12% de la velocidad máxima permitida y sumarlo a dicha velocidad, con el fin de calcular la velocidad límite justo antes de cometer la infracción:

Velocidad límite antes de la infracción = 120 Km/h + (120 Km/h * 12%)Velocidad límite antes de la infracción = 120 Km/h  + 14.4 Km/hVelocidad límite antes de la infracción = 134.4 Km/h

Cómo puedes ver, cuando el conductor está manejando a 134.4 Km/h está justo al límite antes de cometer una infracción, ya que recuerda que en el enunciado se menciona que "se considera infracción si se sobrepasa según al rodar el 12% de esa velocidad", por lo tanto, la velocidad que debe tener para cometer esa infracción debe ser mayor a la velocidad límite, la cual puede ser 134.5 Km/h, aumentando solo una décima a la velocidad límite, o 135 Km/h si se requiere que la respuesta sea un número entero.

A baseball is thrown straight up in the air with an
initial velocity of 128 feet per second from a point
exactly 4 feet off the ground.
Write the function for the height of this object at any
time (t seconds)

Answers

Answer:

Step-by-step explanation:

[tex]h(t)=-16t^2+v_0t+h_0[/tex] where

h(t) is the height of the ball after a certain amount of time has gone by,

-16t² is the pull of gravity in ft/s/s,

v₀t is the initial upwards velocity, and

h₀ is the height from which the ball was initially thrown. Our equation is then, filling in the info in the correct places:

[tex]h(t)=-16t^2+128t+4[/tex] where 128 is the given initial velocity and 4 is the number of feet from which the ball was initially launched.

(2sin60°)(3tan60°)—(4tan45°)(2cos45°)​

Answers

Answer:

[tex]9 - 4\sqrt{2}[/tex]

Step-by-step explanation:

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex]

tan60° = [tex]\sqrt{3}[/tex]

tan45° = 1

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex]

(2sin60°)(3tan60°) - (4tan45°)(2cos45°)

now substitute the values of each trigonometrical angles

[tex](2*\frac{\sqrt{3} }{2} )(3*\sqrt{3} ) - (4*1)(2*\frac{1}{\sqrt{2} } )[/tex]

[tex]\sqrt{3} * (3\sqrt{3}) - 4*(\frac{2}{\sqrt{2} } )[/tex]

[tex]3*3 - 4*\frac{2}{\sqrt{2} } *\frac{\sqrt{2} }{\sqrt{2} }[/tex]

[tex]9 - 4 *\frac{2\sqrt{2} }{2}[/tex]

[tex]9 - 4 * \sqrt{2}[/tex]

[tex]9 - 4\sqrt{2}[/tex]

In a two-digit number, the units digit is twice the tens digit. If the number is doubled
it will be 9 more than the number reversed. Find the number.

Answers

T=Tens

U=Unit

From the question... The Unit digit is twice the Tens digit

Let the Number be xy

Meaning

y is the unit number

x is the tenth Number

Can be inferred for the question that

y=2x ...........(i)

Also

If the Number is doubled x2(times 2)

"It'll be 9more than the reversed"

Now listen

if you want to express a 2digit Number...

Let's say 45...

It can be expressed as 10x4 + 5 = 45

or

66 can be expressed as 10x6 + 6 = 66

So

It'd be better if we express this our unknown number like that too

So

Let's express "xy" like "10x + y"

Hope you grab?

Now from the second statement of the question..

If The Number is doubled...It'll be 9 more than the reversed

What is the reverse of that Number??

The reverse would be "10y + x"

You can see that x and y switched places.

so

The statement said...

2(10x + y) + 9 = 10y + x (reversed)

20x + 2y + 9 =10y + x ........(ii)

Recall from our first eqn

y=2x

Now substitute y=2x into eqn ii

20x + 2(2x) + 9 = 10(2x) + x

20x + 4x +9 = 20x + x

20x - 20x + 4x - x = -9

3x = -9

x=-3

y=2x

y=2(-3)

y=-6

So The Number is 10x + y

= 10(-3) + (-6)

=-30-6

=-36

This answer obeyed the first part of the question because the unit is twice digit(2x3)

Let's check if it obeyed the second part

2[(10(-3) + (-6)] + 9 = 10(-6) + (-3)

2(-30-6) + 9 = -60-3

-63=-63

The 2nd part is also true.

So

Our Number is -36.

I'm Open to corrections if you spot any.

UERGENT!!!!!!
Find the values of x and y

Answers

5x - 17 = 48

5x − 17 + 17 = 48 + 17

5x = 65

x = 13

180 - 48 = 132

y = 132

If i get 3486.25 points out of 4175 total amount of points, what would be my grade

Answers

The answer would be about 85.5%

Answer:

It would be B

Step-by-step explanation:

if you divide 3486.25 divided by 4175 it will equal 0.83 which equal 83% it can be ethier a B or a B-

Mark as braainllest if it helps!!!

help with question please​

Answers

Answer:

i dont know

Step-by-step explanation:

HELPPP PLEASE!!!!!!!!!!

Answers

C because i like the letter c

Multiply the following using the vertical multiplication method 3x2 - 5x +1 XX + 2x + 4 O A. 3x4 + x2 +10x7 - 18x + 4 O B. 3x4 +x+3x2 - 18x + 4 O C. 3x4 + x + 10x2 + x + 4 O D. 3x4 D. 3x4 - x2 + 3x2 + 18x + 4​

Answers

Answer:

ANSWER

C.

3 {x}^{4} - {x}^{3} + 3{x}^{2} + 18x + 43x

4

−x

3

+3x

2

+18x+4

EXPLANATION

We want to multiply;

(3 {x}^{2} + 5x + 1)( {x}^{2} - 2x + 4)(3x

2

+5x+1)(x

2

−2x+4)

We use the distributive property to obtain:

3 {x}^{2} ( {x}^{2} - 2x + 4) + 5x( {x}^{2} - 2x + 4) + 1( {x}^{2} - 2x + 4)3x

2

(x

2

−2x+4)+5x(x

2

−2x+4)+1(x

2

−2x+4)

We expand to get:

3 {x}^{4} - 6 {x}^{3} + 12 {x}^{2} + 5 {x}^{3} - 10 {x}^{2} + 20x + {x}^{2} - 2x + 43x

4

−6x

3

+12x

2

+5x

3

−10x

2

+20x+x

2

−2x+4

Regroup similar terms:

3 {x}^{4} - 6 {x}^{3} + 5 {x}^{3} + 12 {x}^{2} - 10 {x}^{2} + {x}^{2} + 20x - 2x + 43x

4

−6x

3

+5x

3

+12x

2

−10x

2

+x

2

+20x−2x+4

Combine similar terms:

3 {x}^{4} - {x}^{3} + 3{x}^{2} + 18x + 43x

4

−x

3

+3x

2

+18x+4

The correct choice is C.

The midpoint of segment AB is (6,5). The coordinates of point A are (7,10). Find the coordinates of point B.

Answer options: (5,10) (8,15) (-3,7)

Answers

Step-by-step explanation:

none of the options is correct

the answer is (5,0)

Answer:

option 2 : ( 8 , 15 )

Step-by-step explanation:

A ( 6 , 5 )

Mid point ( 7, 10)

B ( x , y )

x coordinate of B

[tex]Mid point = \frac{6 + x }{2}\\\\7 = \frac{6 +x }{2}\\\\7 \times 2 = 6+x\\\\14 - 6= x\\\\8 = x[/tex]

y coordinate of B

[tex]midpoint = \frac{y +5 }{2}\\\\10 = \frac{y +5 }{2}\\\\10 \times 2 = y + 5\\\\20 - 5 = y \\\\15 = y[/tex]

B = ( 8 , 15)

(please help) What are the coordinates of the point on the directed line segment from (-10, -5) to (5, 1) that partitions into ratio of 1 to 2?

Answers

Answer:

P(-5,-3)

Step-by-step explanation:

directed line segment  AB where

A(-10,-5) and B(5,1)

Vector of segment AB = B-A = <15,6>

Add one third of the vector length to A to get the partition point, P

A(-10,-5) + <15,6>/3 =A(-10,-5)+<5,2> = P(-5,-3)

Erin's jewelry box is in the shape of a rectangular prism. The measurements of the jewelry box are length 5 in, width 10 in, and height 3 in. What is the surface area of Erin's jewelry box?

Answers

Answer:

190 square inches

Step-by-step explanation:

Surface area of a rectangular prism formula is given as

2(LW + LH + WH)

Where

L = Length = 5in

H = Height = 3in

W = Width = 10in

Hence:

Surface area = 2(5 × 10 + 5 × 3 + 3 × 10) square inches

= 2 × (50 + 15 + 30) square inches

= 2 × (95) square inches

= 190 square inches

Therefore, the surface area of Erin's jewelry box is 190 square inches

Other Questions
A:6 and 30 B:8 and 28C:4 and 16 which of the following can lead to an increase of squirrels in a park A.increased emigrationB.increased immigrationC.a large number of predatorsD.high competition for food Penny has jogged a total of 15 miles this week, which is 4 miles further than last week. How many miles (m) did she jog last week? Choose the equation that correctly models this situation.1) 15m = 4m2) m + 4 = 153) 15m + m = 44) m divided by 4 = 15 Find the volume of the prism. 4.8 m10 m7.2 m An 18-year-old college football player comes to your office after sustaining an injury on the field. He states that he planted his foot and had to pivot to catch the ball. He heard a "pop" and his right knee gave way and started to swell. The trainer iced it down. On physical examination you note increased swelling and tenderness over the right knee. He has significant forward excursion when you perform the Lachman test. He also has more movement of the right tibia when you draw it forward when compared with the left. Based on this information what is your most likely diagnosis? What is the name of database of viruses that an antivirus software scan for? the furniture store sells dining room tables and chairs. single chairs for particular table sell for 75.00 each. the cost for four chairs when the customer purchases the entire set is 200. what is the percent savings on the 4-chair set rounded to the nearest whole percent?a.25%b.33%c.50%d.66% Adrcle has a diameter of 4 inches. Which statement about the area and circumference of the circle is true?A comparison of the area and circumference of the circle is not possible because there is not enough informationto find bothThe numerical values of the circumference and area are equalThe numerical value of the circumference is greater than the numeste value of the areaThe numerical value of the circumference is less than the numerical value of the area How does Justice Black support the dissenting opinion?A. By pointing out that people under 18 and 21 are already barredfrom certain rightsB. By arguing that teachers who do not punish their students areunconstitutionalO C. By explaining that citizens who assemble peacefully are threats toour democracyD. By arguing that people who voice their opinions in a place ofworship are free to do soSUBMIT Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!! 4x-8y less than or equal to -16 Jim asks Bob how he is feeling. Instead of replying verbally to Jim, Bob gives Jim a "thumbs up" to let him know that he is doing well. Sociologists would describe Bob's response to Jim as which of the following: a. Gestureb. Languagec. Signd. Symbol Which statement best explains the ending of the play? According to the Greek Earth-centered model of the universe, apparent retrograde motion Help me with these 20 questions on Law and Government. (This is due tomorrow at 5:00 PM) (I need serious answers) 1. What is government and why does it exist and why do we need it? 2. What ideas influenced the Constitution? 3. What is the importance of the Constitution?4. What is federalism and how does it work?? What are its Strengths & Weaknesses?? 5. How and why do people vote the way they do?? 6. What is the process of political socialization and how does it affect voter behavior?7. How does the American electoral process work?8. How do Presidential and Congressional electoral processes differ?9. What is the role of Congress in government? 10. What is the constitutional role of the legislative branch?? 11. Compare and Contrast the House and the Senate?? 12. What are the limits to legislative power??13. What is the role of the President in American government?14. What is the constitutional role of the Executive Branch?15. How does the executive branch function as an institution??16. What are the limits to executive power??17. What is the role of the courts in American government??18. What is the Constitutional role of the judicial branch?19. What are the limits to judicial power?20. How do civil liberties and civil rights influence civic life? Question 4(Multiple Choice Worth 5 points)(01.05 LC)Prioritization is best defined asO avoiding an unpleasant task by occupying yourself with something less urgentO identifying the most important or urgent tasks over ones that can wait to be tackledswitching back and forth between tasks or tackling more than one task at the same timethe way that you organize and plan how long you spend on specific activitiesQuestion 5(Multiple Choice Worth 5 points)101 05 MC What is idealism and what are the examples of Idealisim.What Idealism is all about? Really struggling with this, can someone please help me out and give me a brief explanation? Which muscle is highlighted below? A. Obliques B. Biceps brachii C. Rectus abdominusD. Latissimus dorsi A 3-member committee has to be formed from 2 teachers and 2 parents. How many combinations are possible?