Mathematics High School

What is the value of x when [tex](f°g)(x)=-8[/tex]

Answers

Answer 1

According to the table,

f(x) = -8 ⇒ x = -4

and according to the definition of g(x),

g(x) = -4 ⇒ x = 3

Then

(f o g)(x) = f(g(x)) = -8 ⇒ g(x) = -4 ⇒ x = 3

Related Questions

7th grade math!!!!!! HELP!

Morgan begins to use synthetic division to divide x4 + x3 − 6x2 − 4x + 8 by x − 2, as shown below. Which of the following shows the correct values to replace the question marks, and also gives the quotient?

A. 2, 6, 0, −8; x^3 − 3x^2 + 4
B. 2, 6, 0, −8; x^3 + 3x^2 − 4
C. 1, 3, 0, −4; x^2 + 3x − 4
D. 1, 1, −6, −4; x^3 + 3x^2 − 4

Answers

The correct values to replace will be 2, 6, 0, and − 8 and the quotient is x³ + 3x² − 4. Then the correct option is B.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

P(x) = x⁴ + x³ − 6x² − 4x + 8

P(x) = 1x⁴ + 1x³ − 6x² − 4x + 8

By the synthetic division, we have

2 ║ 1 1 − 6 − 4 8

2 6 0 − 8

1 3 0 − 4 0

x³ 3x² − 4

By the synthetic division, the correct values to replace will be 2, 6, 0, and − 8 and the quotient is x³ + 3x² − 4. Then the correct option is B.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

What is an estimate for the square root of 150? (Do not find the exact value) Show work

Answers

Answer:

Somewhere between 12 and 13, perhaps 12.25

Step-by-step explanation:

This is a (rather) simple explanation:

Look for 2 square numbers that are either side of 150

In this case, it is 144 and 169

The square root of 144 is 12 and the square root of 169 is 13

Therefore we can estimate that the square root of 150 is somewhere between 12 and 13.

As 150 is a lot closer to 144 to 169, I would estimate around 12.25 but you do not need an exact value :)

Korey is planning to open a comic book store. when the store opens, he plans to be the only employee. as the business grows, he will extend his hours of operations and hire additional employees as necessary. in korey’s business plan, this information should be included in the _____ component. a. financial analysis b. organizational plan c. executive summary d. implementation plan please select the best answer from the choices provided a b c d

Answers

The information about the how to open a comic book store should be included in the b. organizational plan.

What is organizational plan?

An organizational plan serves as a way that can be used to plan for the future events to achieve the desire goals of the institution.

Therefore, option B is correct, because with the organizational plan, Korey can note all information required for the business and how the business will grow.

Learn more about organizational plan at;

https://brainly.com/question/2724224

#SPJ4

Justus has a flexible container that holds 200 milliliters of alr at a temperature of 300 kelvins and a pressure of 100 kilopascals. Justus wants to
decrease the volume of the alr inside the container to 100 milliliters.
He can do this either by changing the temperature to
kelvins or by changing the pressure to
kilopascals.

Answers

Answer:

See below ~

Step-by-step explanation:

Based on the Ideal Gas Equation,

V ∝ TV ∝ 1/P

Using T :

V₁/T₁ = V₂/T₂200/300 = 100/T₂T₂ = 100/200 x 300T₂ = 0.5 x 300T₂ = 150 K

Using P :

P₁V₁ = P₂V₂100 x 200 = P₂ x 100P₂ = 200 kPa

He can do this either by changing the temperature to 150 kelvins or by changing the pressure to 200 kilopascals.

question 1. write the product using exponents

Answers

Answer:

(- 0.9)³

Step-by-step explanation:

(- 0.9) × (- 0.9) × (- 0.9)

= (- 0.9)³

6•(x•9) simplified please

Answers

6x+54 should be the answer

Answer:

6x+54 should be the answer

Step-by-step explanation:

[tex]\begin{aligned} &\text { 55. At which term does the sequence }\\ &\{10,12,14.4,17.28, \ldots\} \text { exceed } 100 ? \end{aligned}[/tex]

Answers

Answer:

14th term

Step-by-step explanation:

12÷10 = 1.2

14.4÷12 = 1.2

17.28÷14.4 = 1.2

Then it’s a geometric sequence of first term ‘V₀=10’ and common ration ‘q = 1.2’

We call it (Vn)

The general term of the sequence:

Vn = V₀×qⁿ⁻¹ = 10×(1.2)ⁿ⁻¹

To determine the term at which the sequence exceeds 100 we have to solve the equation:

Vn ≥ 100

⇔ 10×(1.2)ⁿ⁻¹ ≥ 100

⇔ (1.2)ⁿ⁻¹ ≥ 100/10

⇔ (1.2)ⁿ⁻¹ ≥ 10

⇔ ln(1.2)ⁿ⁻¹ ≥ ln(10)

⇔ (n-1)×ln(1.2) ≥ ln(10)

[tex]\Longleftrightarrow n-1\geq\frac{ln10}{ln1.2}[/tex]

[tex]\Longleftrightarrow n-1\geq12.6\\\Longleftrightarrow n\geq13.6\\\Longrightarrow n=14[/tex]

Verification:

[tex]V_{14}=10\times \left( 1.2\right)^{14-1} =106.993205379072[/tex]

PLEASE HELP ASAP
If (x + 3)2 = 42, what is the approximate positive value of x?
A) 0.48
B) 3.48
C) 5.48
D) 6.48

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The value of x is 3.48.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The solution of the expression (x+3)²=41 can be found as shown below,

(x+3)²=42

(x+3)=√42

x+3=6.48

x = 3.48

Hence, the value of x is 3.48.

Learn more about Expression:

https://brainly.com/question/13947055

#SPJ1

Solve using appropriate property:
3/8 × -4/5 + 7/9 × 3/8 (-3/8 × 8/10)

Answers

Answer:

Exact Form:

- 31/80

Decimal Form:

-0.3875

Step-by-step explanation:

hope this helps

sorry if wrong

Answer:

-0.3875

Step-by-step explanation:

Pa Brainless

Work out the surface area of this cylinder
Diameter is 12 cm
Height is 25 cm

Answers

Answer:

The surface area of this cylinder is 1168.67

Step-by-step explanation:

To find the surface area of a cylander use this formula

A = 2π[tex]\frac{d}{2}[/tex]h+2π([tex]\frac{d}{2}[/tex])²

Plug in

A = 2 × π × [tex]\frac{12}{2}[/tex] × 25 + 2 × π × [tex]\frac{12}{2}[/tex]²

Answer is 1168.67

26. Each weekday, 3,200,000 people in Massachusetts
commute to work. Of the total commuters, 403,200 take
public transportation. What percentage of commuters take
public transportation?

Answers

Answer: 12.6%

Step-by-step explanation:

403,200/3,200,000 = 0.126

0.126 = 12.6%

A triangle has sides with lengths of 20 yards, 48 yards, and 52 yards. Is it a right triangle?
yes
no

Answers

Yes

Step-by-step explanation:

Because the sides of this triangle follow the Pythagorean Theorem.

i.e.

[tex]52^{2} = {20}^{2} + {48}^{2} [/tex]

[tex]\boxed{\textbf{Therefore it IS a right triangle}} [/tex]

Hi pls how do I find the volume of a short cylinder

Answers

the formula would be pie times r squared TWICE for the circles and then pie times d (diameter) times h (hight) for the unfolding rectangle

Answer:

You find the volume of a cylinder with the formula of π × r² × h

In which number does the digit 2 have a value that is ten times as great as the value of the digit 2 in the number 135,284? A 29,831

B 42,938

C 298,893

D 326,894

Answers

Answer:

it's option B 42,938

Step-by-step explanation:

in the question the value of 2 in 135,284 is 200

200× 10 =2000

Here we have the equation

=x²+12x+c

=x^2+12x+36

=x^2+6x+6x+36

Answer:

there are 120 slices of orange.

Step-by-step explanation:

The reason for this is because if theres 10 slices per orange, and there is 12 oranges, you multiply 10x12 and you get 120 slices.

Find the slope and y-intercept of the graph of the equation.
y = 8x +9

Answers

Answer:

Slope = 8

Y-intercept = (0, 9)

Step-by-step explanation:

Slope-intercept form of an equation :

y = mx + bm = slopeb = y-intercept

Therefore, on comparing with the given equation :

Slope (m) = 9Y-intercept (b) = (0, 9)

How do I find out the median of this set of numbers?
138, 119, 182, 174, 142, 117, 152, 152

Answers

Add up all the numbers and divide by the amount of numbers
117 + 119 + 138 + 142 + 152 + 152 + 174 + 182 = 1176 : 8 = 147

subtract the sum of t and r from s

Answers

Answer:

s-(t+r)

Step-by-step explanation:

PLEASE I NEED YOUR HELP ASAP!!!!!

Answers

Answer:

7/2 ≤ x < 4

Step-by-step explanation:

When an increasing function is applied to both sides of an inequality, their order does not change. We can solve the given inequality as though the square root symbol were not present.

Inequality solution

5 -x > 2x -7

12 > 3x . . . . . add x+7

4 > x

domain restrictions

The domain of f(x) requires that its argument be non-negative.

5 -x ≥ 0 ⇒ x ≤ 5

2x -7 ≥ 0 ⇒ x ≥ 7/2

full solution

Together with the domain restriction on f(x), the solution to the inequality is ...

7/2 ≤ x < 4

Other Questions

* Question 1: Design alarm system as shown below. The alarm turns on when one of the followingconditions happened:A. Motion IR sensor & window sensoractivated.B. Motion IR sensor & door sensoractivated.C. Otherwise the buzzer off.(A)WarningMotionSensorsBuzzerSuppose that: Warning buzzer on pin 8Motion sensor on pin 5Window sensor on pin 6Door sensor on pin 7The buzzer works on beating mode.(C)DoorsensorTE(B)WindowSensors HELP PLEASE GIVING OUR 35 POINTS WILL GIVE BRAINLEST PLS HELP 6. Where do the President, members of Congress, Supreme Court justices, and many other g Boston Baltimore Philadelphia Washington D.C. a ball is dropped from a height of 6 metres. suppose the ball rebounds 2/3 of the height from which it falls. find total distance travelled by ball The threshold level for aneuron to fire is a 10. What will happen if the stimulus to the neuron is 8? How is creative thinking similar to a childs thinking? A. Neither process restricts itself to logical solutions. B. Both thought processes always come up with fresh ideas. C. Both thought processes are simplistic. D. Both thought processes are linear What is the volume of this object?Top View2u2upls I need help lol 7. Which of the following is a product that is considered a commodity?feed corn for cattlewriting paper Question 6(Multiple Choice Worth 5 points) (06.03 LC) What happened to Gautama after he sat under a fig tree and meditated for several weeks? He discovered ahimsa. He became a vegetarian. He founded Jainism. He was enlightened. What were the main differences between civilizations in the river valley In two paragraphs why is it important to be a good communicator and give examples to support your claim Solve for x. Round your answer to the nearest tenth if necessary. Evaluate sin 360. Round your answer to the nearest hundredth if necessary. what helps evoke better sense of mood in a story propaganda 2. severe style: severe style 3. Iktinos: Iktinos 4. canon: canon 5. sarcophagus: sarcophagus 6. necropolis: necropolis 7. Romulus: Romulus 8. concrete: concrete 9. First Style: First Style 10. Third Style: Third Style Column B a. rule b. stone or clay coffin c. a Roman invention d. art used to deliver a political message e. style of formal poses with sober expressions f. one of the mythical founders of Rome g. city of the dead h. walls painted to mimic marble i. delicate decoration on a monochromatic background j. architect of the Parthenon PLEASE NEED HELP WITH ANSWER ASAP PLEASE!!!!!!! What assumption might the narrator have that supports this inference? 1. What were some of the roots ofthe conflict between Europeans andAmerican Indian populations? Explain how to form the usted form of the imperative of the regular -ar verb hablar. President Nixon's alleged abuse of authority in which war led to the War Powers Resolution of 1973? A sound wave travelling through water has a wavelength of 0.08m and a frequency of 18525 HZ. What is the speed of the wave?a. 343 m/sb. 1482 m/sc. 5941 m/s