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

Answers

Answer 1

Answer:

the first option

Step-by-step explanation:

well, 9 +(-6) = 3

so the equations last part is changed, but the rest stays the same

Answer 2

The  range of (f + g)(x) is (f + g)(x) > 3 for all values of x.

What is a function?

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Gives are two function, f(x) = |XI + 9 and g(x) = -6, we need to find the range of (f + g)(x),

f(x)=|x|+9 and g(x)= -6

Taking the sum of the functions:

f(x) + g(x) = |x|+9  + (-6)

f(x) + g(x) =  |x|+9 - 6

f(x) + g(x) =   |x|+3

Due to the modulus of x which is positive,

Hence (f + g)(x) is greater to 3 for all values of x

Learn more about functions, click;

https://brainly.com/question/12431044

#SPJ7


Related Questions

I will give brainliest<3 help pleaseee

Answers

Answer:

24

Step-by-step explanation:

Answer: 24

Step-by-step explanation:

There were 8 fewer boys than girls in Mr. Taylor’s Algebra class. If he had 40 pupils, how many were girls?

Answers

Answer:

There are 24 girls in the class.

Step-by-step explanation:

Write out the problem like this:

40 = (g-8)+(g)

40 is the total amount of students. (g) is the unknown number of girls in the class, and (g-8) is the amount of boys since there are 8 fewer boys than girls.

First, eliminate the parentheses.

40 = g - 8 + g

Next, combine like terms. Both g's are positive, to we get 2g

40 = g - 8 + g

40 = 2g - 8

Then, add 8 to both sides of the equation, because the 8 that was already present is negative and needs to be canceled out.

40 + 8 = 2g - 8 + 8

48 = 2g

Lastly, divide both sides by 2, so that the (g) is by itself.

40/2 = 24, 2g/2 = g

g=24

This can be tested as the correct answer by subtracting 8 from 24 to count the boys...

24 - 8 = 16

...and adding the two amounts together to get the total amount of students.

24 + 16 = 40

There are 24 girls in the class.

PLEASE SOMEONE HELP ME FIGURE OUT THESE 4 Ill give you brainiest!

Answers

Answer: 5. 83 1/3*pi, or 261.8 (approx.) 6. 2*pi, or 6.28 (approx.) 7. 42 2/3*pi or 134.04 (approx.) 8. 144*pi or 452.39 (approx.)

Step-by-step explanation:

Volume of a circular cone : pi*r^2*h/3

I applied the formula to find these answers

Yesterday, 37% of the drivers for Quinn's Taxi Service worked. At Bella's Taxi Express, 3 out of 10 drivers worked. Which taxi service had a greater percentage of its drivers working?

Answers

Answer:

Quinn's Taxi Service

Step-by-step explanation:

a) Yesterday, 37% of the drivers for Quinn's Taxi Service worked.

Hence, the percentage for Quinn's Taxi Service drivers that are working is 37%

b) At Bella's Taxi Express, 3 out of 10 drivers worked.

The percentage for Bella's Taxi drivers that are working is calculated as:

3/10 × 100

= 30%

Therefore, the taxi service that had a greater percentage of its drivers working is Quinn's Taxi Service with a high percentage of 37%

How many moles are in 30.0g of N2

Answers

Answer:1.0709

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

To be very accurate 1.1

A boy is twice as old as his sister who is x years old now. In 2 years, the boy will be

Answers

Answer and Step-by-step explanation:

2x + 2 is the answer.

If the boy is twice as old, and the sister's age is represented by x, then we multiply 2 to x to represent the boy's age.

Then we add 2 when 2 years pass by.

#teamtrees #PAW (Plant And Water)

What expression would be easier to simplify if you use the associative property to change the grouping?

A.[(-0.2)+(-0.6)]+1.7
B.(2+5/2)+(-1/2)
C.(60+40)+(-27)
D.6+[4/9+(-2/9)]

Answers

Answer:

B

Step-by-step explanation:

2+5/2 is hard to add since first you have to make 2 into a fraction with the denominator 2. If you use the associative property, you can just easily combine -1/2 and 5/2 without any converting into fractions

it takes 2 1/2 cups of sugar to make 4 dozen sugar cookies. How much sugar is needed to make 120 sugar cookies

Answers

Answer:

6.25 cups of sugar

Step-by-step explanation:

Let's make a proportion expression:

2.5/48 = x/120

Let x be the amount of sugar needed to make 120 sugar cookies.

Cross multiply:

120*2.5=48x

48x=300

x=6.25

So, you would need 6 1/4 cups or 6.25 cups of sugar to make 120 sugar cookies.

Please help! Must get done ASAP!!!

^^

Answers

Answer:

No

No

Yes

Yes

Step-by-step explanation:

Try it.

Answer: 1st: No, 2nd: No, 3rd: Yes, 4th: Yes

Step-by-step explanation: You only flip the inequality when you divide a negative number on both sides. The only reason why you would divide would be to get the variable by itself -  in this case the coefficient would need to be negative. That only applies to the third and 4th equations.

I really need help❤️

Answers

Answer:

about (-3,1.5)

Step-by-step explanation:

Hope this helps!

6 g of butter is used for making a cupcake. How many such cakes can be made by using 3 kg of butter?

Answers

Answer: 500

Step-by-step explanation:

Given

6 g butter is required to make a cupcake

If there is 3 kg butter

We know, 1 kg is equivalent to 1000 g i.e. 3 kg is 3000 gm

No of cup-cakes made

[tex]\Rightarrow \dfrac{3000}{6}=500\ \text{cupcakes}[/tex]

7x2-6x=-7
Solve using quadratic formula :)

Answers

Step 1 = Write the equation in standard form 7x^2-6x+7= 0
Step 2 = Substitute the value of a,b,c into the quadratic formula
Step 3 = Simplify the discriminant

The solution is not a real number
X= 7/2 or 3.5
I solved it by..
14-6x=-7
-6x=-7-14
-6x=-21
X=7/2

plot triangle ABC with coordinates A(-4,5),B(-1,5),C(-1,1)​

Answers

Answer:

:D

Step-by-step explanation:

The area of a rectangle is (x^3 - 5x^2 + 3x - 15), and the width of the rectangle is (X2 + 3). If area = length x width, what
is the length of the rectangle?

Answers

Given:

Area of a rectangle = [tex]x^3-5x^2+3x-15[/tex]

Width of rectangle = [tex]x^2+3[/tex]

To find:

The length of the rectangle.

Solution:

The area of a rectangle is:

[tex]A=l\times w[/tex]

Where, l is length and w is the width.

It is can be written as:

[tex]\dfrac{A}{w}=l[/tex]

[tex]l=\dfrac{A}{w}[/tex]

Putting [tex]A=x^3-5x^2+3x-15[/tex] and [tex]w=x^2+3[/tex], we get

[tex]l=\dfrac{x^3-5x^2+3x-15}{x^2+3}[/tex]

[tex]l=\dfrac{x^2(x-5)+3(x-5)}{x^2+3}[/tex]

[tex]l=\dfrac{(x^2+3)(x-5)}{x^2+3}[/tex]

[tex]l=x-5[/tex]

Therefore, the length of the rectangle is [tex]x-5[/tex].

mathematic question

Answers

Answer:

i cant see it

Step-by-step explanation:

Answer: im hungry for sum points to eat hmmmmmm

Step-by-step explanation:

what is the degree of polynomial x^2y^2+y^3+4?

Answers

Answer:

The degree of the polynomial ≈ 4

Step-by-step explanation:

The degree of a polynomial, is given by the highest value of the sum of the exponents (powers) of the of the variables (monomials) that are present in the polynomial expression

The given polynomial expression is x²·y² + y³ + 4

The sum of the exponents; 2 + 2 = 4, and 3

The sum of exponents 4 > 3

Therefore, the degree of the polynomial = 4.

8(2 + x) = 3x + 16 + 5x

Answers

Answer:

x = 0

Step-by-step explanation:

8(2 + x) = 3x + 16 + 5x

=> 16 + 8x = 3x + 16 + 5x

=> 8x - 3x - 5x = 16 - 16

=> 0x = 0

=> x = 0 (Ans)

Answer:0

Step-by-step explanation:

everything cancels out

Find the volume of the cylinder.
Either enter an exact answer in terms of π or use 3.143.t, 14 for π.

Answers

Answer:

V = 75 pi

Step-by-step explanation:

We know the volume of a cylinder is given by

V = pi r^2 h where r is the radius and h is the height

V = pi ( 5)^2 (3)

V = pi (25)(3)

V = 75 pi

Answer:    75pi

===============================================

Work Shown:

r = 5 is the radius

h = 3 is the height

V = pi*r^2*h .... volume of a cylinder

V = pi*5^2*3

V = pi*25*3

V = pi*75

V = 75pi ..... exact volume in terms of pi

V = 75*3.14

V = 235.5

If you used the approximation pi = 3.14, then the approximate volume is about 235.5 cubic units. Use more decimal digits of pi to get a more accurate answer.

Note how the pi*r^2 portion represents the area of the circular base. So we can say

volume = (area of base)*(height)

use the circle to answer the questions​

Answers

Answer:

Diameter: 10.8 cm

Circumference (in terms of π): 10.8π cm

Circumference (approximate): 33.91 cm

Step-by-step explanation:

Hi there!

We're given:

The radius (5.4 cm)

1) Determine the diameter

[tex]d=2r[/tex]

Multiply the radius 5.4 cm by 2

5.4 × 2 = 10.8

Therefore, the diameter of the circle is 10.8 cm.

2) Determine the circumference of the circle

[tex]C=\pi d[/tex]

Plug in the diameter 10.8

[tex]C=10.8\pi[/tex]

Therefore, the circumference of the circle in terms of π is 10.8π cm.

3) Determine the approximate circumference of the circle

[tex]C=10.8\pi\\C=10.8(3.14)\\C=33.91[/tex]

Therefore, the approximate circumference of the circle is 33.91 cm.

I hope this helps!

What is the surface area of the cylinder if the height is 11in and the radius is 4in?

Answers

Answer:

Around 376.99

Step-by-step explanation:

the formula is 2πrh+2πr²

so if we plug in everything we get 2π(4)(11)+2π(4)²

When we simplify that, we would get 376.99

Helppppppppppppppppppppppp

Answers

$138.00

Step-by-step explanation:

Steven earns in 4 hours -$23.00

he earns in 6 hours-$34.50

there fore in 10 hours -23.00+34.50=$57.50

in 20 hours -57.50+57.50=$115

and in 4 hours-$23.00+115.00=138.00$

then he earn $138.00 one day

How was y'all day. I hope it is good

Answers

Answer:

My day has been going great! And I hope your day is going great too! :)

Step-by-step explanation: You are a perfect human :>

Abigail buys two cartons of strawberries. One carton has 19 berries and the other carton has 26 berries. She wants to divide the berries into bags so there are exactly 6 berries in each bag. How many bags will have 6 berries?

Answers

Answer:

7.5 bag

Step-by-step explanation:

Carton #1: 19 berries

Carton #2: 26 berries

^^add them up together to get hte total amount of berries! 19 + 26 = 45

She has 45 berries in total, then you divid it by 6 aka the amount of berries she wants in each bag 45 ÷ 6 = 7.5

When she divids them up she has 7 bags with 6 berries in each and 1 bag with 3 berries.

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If
AC 18 and DC · 15, what is the length of BC in simplest radical
form?

Answers

The length will be 3 because of the altitude

You roll a 6-sided die.
What is P(4)?
1/6 or 4/9 or 4/5 or 3/4

Answers

Answer:

1/6

Step-by-step explanation:

Because there is only a side that has the number 4 in a total of 6 sides

It’s will be 1/6 because it out of a change to get a 6 on a 6 sided die

Please help kitty(
<3

Answers

Answer:

A. increasing curve

Step-by-step explanation:

exponential equations always have a curve, so you know it has to be the one about a curve.

A penny is dropped from a point on a bridge 94 feet above the surface of the river. If the penny travels 250 feet straight down before it lands at the bottom of the river, find the depth of the river where the penny landed.
please provide with the strategies please!! ​

Answers

Answer:

156 ft

Step-by-step explanation:

the depth of the river =

250-94 = 156 ft

work out
(10 - 3 * 2)

Answers

Answer:

4

Step-by-step explanation:

(10 - 3*2)

negative 3 times 2 = -6

10 minus 6 = 4

Hay 31 personas en un café.Si hay 5 hombres más que mujeres,¿Cuantos hombres y mujeres hay en el café?

Answers

Answer: Hay 13 mujeres. (No hablo espanol.)

3 1/2 + 7/15 multiply 1 1/4

Answers

Answer:

3 1/2 +7/15×11/4

7/2 +7/15×11/4

119/30×11/4

1309/120

Answer:

[tex]{ \tt{(3 \frac{1}{2} + \frac{7}{15} ) \times 1\frac{1}{4} }} \\ \\ = { \tt{ \frac{119}{30} \times \frac{5}{4} }} \\ \\ = 4 \frac{23}{24} [/tex]

Other Questions
Graph the system of equations, y = 2x y = -x + 6 Read this excerpt from We've Got a Job: The 1963 Children's March. By the time Wash was in seventh grade, he'd skip school for weeks at a time. "My friends and I would go into the woods and build a campfire [or] walk down the railroad tracks," he said. Sometimes he'd go to the colored library, sit in the back room, and read. "It was all an adventure," according to Wash. He liked wearing a Davy Crockett coonskin cap on his adventures. What is the tone of the excerpt? 5. Our nervous system and our skeletomuscular system help us react to stimuli. Give one example on how this helps us maintain homeostasis. and please browse these questions for me in French: what is the plural of : animal ,cheval, fetival , hotel, hopital, translate plural form to French. Which is a simplified form of the expression -4(n + 1) (n + 2)?A.2n + 3B.-3n 2C.-4n 5D.-5n 6 Po is an oncologist with seven patients in their care. the probability that a patient will survive five years after being diagnosed with stage three breast cancer is 0.82. what is the probability that four of the patients are still alive after five years? which of the following is not possible consequence of surface meaning? Please help will give branliest 1. Let ()=(+2)2(+)3(5)(3)2(+6)3.A. Let D= 10. Create a sign chart to solve ()0 with this value for D. Write your solution in interval notation. Solutions without sign charts will receive a score of zero.C. Let D= -3. Create a sign chart to solve ()0 with this value for D. Write your solution in interval notation. Solutions without sign charts will receive a score of zero. most of the earths earthquakes occur around The Hogwarts Express train has reduced its one-way fare from 360 galleons to just 270 galleons. What is the percentage decrease in the fare? * What was Jean-Jacques Rousseau's contribution to the Enlightenment duringthe 17th century?A. His theory of separation of powers formed the basis for France'snew government.B. He was the charismatic military leader of the rebels during theFrench Revolution.C. He mentored Napoleon Bonaparte, convincing him to experimentwith democracy.D. His ideas on government influenced how people believed ademocracy should function. Find the surface area of the prismShow all the workI'll mark you brainiest What solid 3D object is produced by rotating the triangle about line m? ANSWER ASAP. TROLL AND LINK ANSWERS REPORTED. WILL AWARD BRAINLIEST. Which social behavior occurs when barring a person from joining a club because of his ethnicity? Directions Write a paragraph about dinosaurs. Include some past and past participle forms of such irregular verbs as be, find, come, know, and think. HELP ME PLEASE??!?!!?!!?Hitler's last effort to launch an offensive attacka. Battle of Britainb. Battle of the Bulgec. D-Day invasiond. Pearl Harbore. Battle of Stalingrad There are 42 gallons in one barrel of oil. How many barrels of oil are equivalent to 2,572.5 gallons of oil? solve 5x^2-2x-8=0 using the quadratic formula Which of the following is equivalent to the expression log3(a5bc2)? A. (log35a)(log3b)log32c B. (5log3a)(log3b)2log3c C. log35a+log3blog32c D. 5log3a+log3b2log3c