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

How do you decompose the number 120 into a prime number

Answers

Answer:

But it not a prime number :( maybe divide

Step-by-step explanation:

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.

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somebody please help me on this.

Answers

No of outcomes =8
P(odd)=1/2
P (<6)=5/8
Required probability of P(odd) and P (<6) = 1/2*5/8=5/16

Which label on the cone below represents the diameter? a cone, a is the radius, b is the height, c is the center of the base, and d is the vertex. a b c d

Answers

The label on the cone that represents the diameter of the cone is the letter C

How to determine the correct label?

From the figure in the complete question, the line C divides the base circle into two equal segments

The above is the same as the definition of the diameter

Hence, the label that represents the diameter of the cone is the letter C

Answers

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.

Five different numbers are such that, 2 are odd, the median is 7, the mean is 8 and all numbers are less than 13. What are the five numbers?

Answers

Answer : 4 6 7 11 12
Solution :

Another possible solution is 5, 6, 7, 10, 12

A store pays $68 for a chest of drawers and markers the price up by 50% what is the amount of the mark up

Answers

Answer:

$102.00

Step-by-step explanation:

Simply multiply 68 by 50 percent

68 × 50% or 68 × .5 = 34

so . .

Add 68 + 34 = 102

how i would do it is first do 68 divided by 2 bc that would be 1/2or 50% so that is 34$ so the i would do 68$+34$=102$ but the question is how much was the markup so its 34$. and you can confirm im right by putting in 68x50% in the calculator

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

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.

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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 :)

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

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.

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%

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

Fill in the missing number. 50% of ????= 13

Answers

6.5 is the answer be great

What value for c completes the square for the quadratic x2 + 12x + c?

Answers

The value for c is 36 which completes the square for the quadratic x² + 12x + c.

What is a quadratic equation?

The polynomial having a degree of 2 is termed as the quadratic equation.It means that the equation will have the maximum power of 2.

Here we have the equation

=x²+12x+c

=x^2+12x+36

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

=x(x+6)+6(x+6)

=(x+6)(x+6

=(x+6)²

hence value for c is 36 which completes the square for the quadratic x² + 12x + c.

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subtract the sum of t and r from s

Answers

Answer:

s-(t+r)

Step-by-step explanation:

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

24. Use the intercepts to graph the equation.

Answers

Answer:

See below ~

Step-by-step explanation:

Finding x-intercept

Take y = 02x - 5(0) = 102x = 10x = 5x-intercept is at (5, 0)

Finding y-intercept

Take x = 02(0) - 5y = 10-5y = 10y = -2y-intercept is at (0, -2)

Graph (with points marked)

Step-by-step explanation:

[tex]2x - 5y = 10 \\ 2x = 10 - 5y \\ x = \frac{10 - 5y}{2} [/tex]

when y=0,-2,2,-4,4

then x=5,10,0,15,-5,

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

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

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

therefore the number with 2 in thousands place is option B 42,938

1. Emilio earns $150 per week plus 38% commission. He sells $2 000.00 in one week. What are his gross weekly earnings?

Answers

Answer:

more than what i have

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]

What is the surface area of the
triangular prism shown?

Answers

Answer:

1120^2

Step-by-step explanation:

25x17=425

425+(8x25)=625

625+(8x15)=745

745+(15x25)=1120

Please Help its a math problem !! see image attached below for more info

Answers

Answer:

g(x) = 2ˣ⁻¹ + 3

Step-by-step explanation:

f(x) = 2ˣ

Translated 1 unit right

Represented by (x - 1)f(x - 1) = 2ˣ⁻¹

Translated 3 units up

Represented by adding 3g(x) = 2ˣ⁻¹ + 3

Answer:

Well if its a translation on the x-axis the formula would be g(x) = -2×

Although Functions are not my strong suit

I hope i got this right!

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)

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]

6•(x•9) simplified please

Answers

6x+54 should be the answer

Answer:

6x+54 should be the answer

Step-by-step explanation:

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.

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