Consider functions fand g.
f(x) = -13
g(x) = |1/8x-1|

Consider Functions Fand G.f(x) = -13g(x) = |1/8x-1|

Answers

Answer 1

Answer:

We conclude that

(g o f) (4) = 9

Hence, option C is correct.

Step-by-step explanation:

Given

f(x) = -x³

g(x) = |1/8x - 1|

To determine

(g o f) (4) = ?

Using the formula

(g o f) (4) = g[(f(4)]

first we need to determine f(4)

so substituting x = 4 into f(x) = -x³

f(x) = -x³

f(4) = -(4)³ = -64

so

(g o f) (4) = g[(f(4)] = g(-64)

so substitute x = -64 in g(x) = |1/8x - 1|

[tex]g\left(x\right)=\left|\frac{1}{8}x-1\right|[/tex]

substitute x = -64

[tex]g\left(-64\right)=\left|\frac{1}{8}\left(-64\right)-1\right|[/tex]

            [tex]=\left|-\frac{1}{8}\cdot \:64-1\right|[/tex]

            [tex]=\left|-8-1\right|[/tex]

            [tex]=\left|-9\right|[/tex]

Apply absolute rule: |-a| = a

            [tex]=9[/tex]

Therefore, we conclude that

(g o f) (4) = 9

Hence, option C is correct.            


Related Questions

I need help plz and thank u sm

Answers

Answer:

5x + 3

Step-by-step explanation:

Since we can see DC is the median of Triangle ABC

So it breaks the into two equal parts

Given

AD = 2x + 5

BD = 3x - 2

Now

AB = AB + BD

= 2x + 5 + 3x - 2

= 5x + 3

Hope it will help :)❤

Which is the midpoint of AB with A(-1, 5) and B(6, -3)?

Answers

Answer:

abcdef

Step-by-step explanation:

What is HL?

HL =

(in the attachment)

Answers

Answer:

try 21

Step-by-step explanation:

if not im as stuck as you are :(

i need help quick for this math question

Answers

Answer:

i think option 3

Step-by-step explanation:

im not sure but i think

Answer:

Option 3

Step-by-step explanation:

Hoped I helped like plss

In order to solve the equation x/8=-3. Step by step please

Answers

Answer:

-24

Step-by-step explanation:

1. Multiply both sides of the equations by 8 to get rid of the 8 in x/8

2. 8 cancels out and we are left with x=-3 x 8

3. -3 times 8 is -24

24 birthdays in 100 days. What
percent of days are birthdays?

Answers

Answer:

24%

Step-by-step explanation:

24/100 =.24 which as a percent is 24%

someone help. Simplify: (1/a)^3

Answers

Answer:

1/a3 is the simplify expression for the equation

Bentley spun a spinner with 4 equal sections labeled 1–4. The spinner landed on 1 three times, on 2 four times, on 3 six times, and on 4 three times. For which number is the experimental probability the same as its theoretical probability? Explain.

Answers

Answer:

2

Step-by-step explanation:

Experimental probability : (Number of times event occur / total number of trials)

Total Number of trials = (3 + 4 + 6 + 3) = 16

Experimental probability :

For 1: P(1) :

3/16

For 2 : P(2) :

4/16 = 1/4

For 3: P(3)

6 /16 = 3/8

For 4 : P(4)

3 / 16

Theoretical probability :

The Theoretical probability of 1, 2, 3 and 4 are the same ;

Theoretical probability =

(Required outcome / Total possible outcomes)

For each of 1 - 4

Theoretical probability = 1 /4

Experimental probability of P(2) = 1/ 4 and is Hence, the same as the Theoretical probability

Can someone please help me with this question:3.225 x 8.06=?

Answers

Answer:

25.99350

Step-by-step explanation:

3 . 2 2 5

×     8 . 0 6

1 1 1 3

0 . 1 9 3 5 0

2 1  2 4  

2 5 . 8 0 0 0 0

2 5 . 9 9 3 5 0

what is 1/4 of 84 and hury please

Answers

If you multiply (1/4)* 84 you get 21 so your awnser is 21

Answer:

21

Step-by-step explanation:

Mr. Selan loves the 99-cent menu at Wendy's (sadly prices went up a few years ago). He used to buy two chicken sandwich at 99-cents each. With a tax of 8.5%, how much would he pay for the two sandwiches? Round your answer to the nearest cent​

Answers

Answer:

Mr. Selan would pay $2.15 for the sandwiches with tax.

Step-by-step explanation:

Given that:

Cost of each sandwich = 99 cents

Cost of two sandwiches = 99*2 = 198 cents

Sales tax = 8.5%

Sales tax = [tex]\frac{8.5}{100}*198=16.8\ cents[/tex]

Sales tax = 17 cents

Total cost = 198 + 17 = 215 cents

Total cost = $2.15

Hence,

Mr. Selan would pay $2.15 for the sandwiches with tax.

6th grade math help me plz

Answers

It’s 64! Hope this helps!!!!

Evaluate y=5x+7, for x=3.

Answers

y=22, you get it be substituting 3 with x and then getting 5•3 which is 15, then add 7

Alyssa sold half of her comic books and then bought 8 more. She now has
12. How many did she begin with ?

Answers

Answer:

8 Books

Step-by-step explanation:

First find how many she had before buying 8 more-

12 - 8 = 4

Then multiply that by 2

4 x 2 = 8

The had 8 books to begin with

Select the correct shapes.
Select the shapes that are similar to shape A.

Answers

Answer: Its the pink one and the green one

hope that was helpful!

Step-by-step explanation:

Answer:

pink, dark blue, and red

Step-by-step explanation:

Marla's test scores were 93, 81, 77, and 97. What is Marla's test average?

Answers


Her test average was 87%

93 + 81 +77+97 = 348

348/4= 87

Answer:

87

Step-by-step explanation:

Hi!

First you add all of the numbers up together:

77+81+93+97= 348

Next, you divide the answer you got above by how many numbers are in your data set:

348/4 = 87

4 because 77,81,93,97 thats four numbers :)

Therefore, Marla's test average is 87!

So anytime you need find the average of any data set, you just add all the numbers together, then divide by the quantity of numbers there are.

Write a system of linear inequalities represented by the graph.
Inequality 1:
Inequality 2:

Answers

Answer:

Inequality (1) → y > 2x

inequality (2) x ≥ -2

Step-by-step explanation:

If the inequality (1) is a dotted line passing through origin.

Since, shaded area is above the dotted line,

Equation of the inequality will be in the form of y > mx +b

Here m = slope of the dotted line

b = y-intercept

Since, this line is passing through the origin,

Therefore, y-intercept = 0

Slope 'm' of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

                                 = [tex]\frac{2}{1}[/tex]

                             m = 2

Inequality (1) → y > 2x

Second inequality is represented by the shaded area on the right side of  the dark vertical line, x = -2,

Therefore, inequality 2 will be → x ≥ -2

Answer: x≽-2 and y>2x

brain list you
ω please

Answers

Answer:

C

Step-by-step explanation:

Yes it’s CCCCCCCCCCCCC

RSTis graphed on a coordinate plane below. The triangle undergoes two
transformations and the new vertices are R"(4,2), S"(8,2), and T"(8,-6). Determine
the transformations and the order in which they were applied.


A. 90° counter-clockwise rotation, then reflected across the y-axis

B. Reflected across the y-axis, then a 90° counter-clockwise rotation

C. 90° counter-clockwise rotation, then reflected across the x-axis

D. Reflected across the y=x, then a 90° counter-clockwise rotation

Answers

Answer:C

Step-by-step explanation:

Transformation involves changing the position of a shape

The transformations and the order in which they were applied are:

A. 90° counter-clockwise rotation, then reflected across the y-axis

From the figure, the coordinate of RST is:

[tex]R= (2,4)[/tex]

[tex]S = (2,8)[/tex]

[tex]T =(-6,8)[/tex]

Using R to illustrate the transformation.

We have

[tex]R= (2,4)[/tex]

First, R is rotated 90 degrees counterclockwise

The rule of this transformation is:

[tex](x,y) \to (-y,x)[/tex]

So, we have:

[tex](2,4) \to (-4,2)[/tex]

Next, the point is reflected across the y-axis.

The rule of this transformation is:

[tex](x,y) \to (-x,y)[/tex]

So, we have:

[tex](-4,2) \to (4,2)[/tex]

From the question, we have the coordinate of R" to be;

[tex]R: =(4,2)[/tex] --- same as the result of the above sequence

Hence, option (A) is correct

Read more about transformations at:

https://brainly.com/question/13801312


Tim and Ollie share some money in the ratio 2:5
Tim gets £80
Work out how much Ollie gets.​

Answers

Answer:

£200

Step-by-step explanation:

The ratio is 2:5

we then have

80:x

Because one side of the ratio was multiplied by 40 we have to do the same to the other

20*5=200

therefore our new ratio is

80:200

Ollie gets £200

What is the approximate volume of the sphere? Use and round to the nearest whole cubic unit. 42 cubic units 126 cubic units 4187 cubic units 73,385 cubic units

Answers

The question is incomplete, the complete question is;

The radius of the sphere is 10 units.What is the approximate volume of the sphere? Use π = 3.14 and round to the nearest whole cubic unit. cubic units

Answer:

4187 cubic units

Step-by-step explanation:

According to the question;

radius (r) = 10 units

 π = 3.14

Volume of a sphere = 4/3*π*r^3

Substituting values;

V = 4/3*(3.14)*(10)^3

V = 4186.67 cubic units

V = 4187 cubic units (To the nearest whole cubic unit)

Answer:

It's C on Edge

Step-by-step explanation:

Una torta de queso para 4 personas presisa 300g de queso, 10ml de leche, 100g de azucar, 100g de mantequilla y 50g de harina, si queremos hacer una tarta para 6 personas, qué cantidad de ingredientes necesitaremos?

Answers

Answer:

Por tanto, la cantidad de ingredientes necesarios para 6 personas es:

450 g de queso, 15 ml de leche, 150 g de azúcar, 150 g de mantequilla y 75 g de harina.

Step-by-step explanation:

Por lo tanto:

Para queso

4 personas = 300g de queso

6 personas = x

Cruz multiplicar

4x = 6 × 300g

x = 6 × 300 g / 4

x = 450 g de queso

Por 10ml de leche

4 personas = 10 ml de leche

6 personas = x

Cruz multiplicar

4x = 6 × 10 ml

x = 6 × 10 ml / 4

x = 15 ml

Por 100 g de azúcar

4 personas = 100 g de azúcar

6 personas = x

4x = 6 × 100g

x = 6 × 100 g / 4

x = 150 g de azúcar.

Por 100 g de mantequilla

4 personas = 100 g de mantequilla

6 personas = x

4x = 6 × 100g

x = 6 × 100 g / 4

x = 150 g de mantequilla

Por 50 g de harina

4 personas = 50 g de queso

6 personas = x

4x = 6 × 50g

x = 6 × 50 g / 4

x = 75 g de queso.

Por tanto, la cantidad de ingredientes necesarios para 6 personas es:

450 g de queso, 15 ml de leche, 150 g de azúcar, 150 g de mantequilla y 75 g de harina.

Which set of ordered pairs does not represent a function? Delta math

Answers

Answer:

The first set of ordered pairs is a function, because no two ordered pairs have the same first coordinates with different second coordinates. The second example is not a function, because it contains the ordered pairs (1,2) and (1,5). These have the same first coordinate and different second coordinates

please answer for 20 points

Answers

Answer:

C

Step-by-step explanation:

whenever you see a (as in ax^2 + bx+c) as a number other than 1, you should see if you can factor that out

2(6x^2 -x -1)

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

Answer:

2\(3x+1)(2x-1\)

Step-by-step explanation:

OMG PLS GET THIS RIGHT ILL MARK CROWN

Answers

The correct answers are E and C.

PLEASE PLEASE HELP ME I WILL MARK BRAINLIEST

Answers

Answer:

x = -25i

x = 25i

A group of students went on a field trip. There were 3 boys for every 4 girls inthe group. If there were 20 girls, how many students in all went on the field trip? 10 points

Answers

Answer:

15 boys

Step-by-step explanation:

start by dividing 20 by 4

you get 5

5 times 3 next

now you have 15

Answer:

25 girls and boys

Step-by-step explanation:

There are 3 boys for every 4 girls

To find the rate we must

Divide 20 by 4 then multiply that by 3

20 divided by 4 is 5

5 times 3 is 15

15 boys went on the field trip

20 girls went on the field trip

The total number of students is 25 girls and boys

Find f(-2), if f(x)=-3x^2-5x+11

Answers

Answer:

f(-2) = 9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = -3x² - 5x + 11

f(-2) is x = -2

Step 2: Evaluate

Substitute in x:                      f(-2) = -3(-2)² - 5(-2) + 11Exponents:                            f(-2) = -3(4) - 5(-2) + 11Multiply:                                 f(-2) = -12 + 10 + 11Add:                                       f(-2) = -2 + 11Add:                                       f(-2) = 9


Mark and his cousin are playing a game where they pick up colored sticks. Mark currently has 45 points and likes to pick up the orange sticks, earning 5 points every turn. His cousin just lost all his points on the previous turn, and has a strategy to catch up by getting all the white ones, earning 14 points per turn. In a certain number of turns, the score will be tied. How long will that take? How many points will they each have?

Answers

Answer:

they have total 30 point

A caterer prepares twice as many pizzas as she usually prepares for a large party. The caterer usually prepares 6 pizzas. The caterer also estimates that each party guest will eat
1
2
of a pizza.

Drag and drop each expression into the correct boxes to complete the explanation.

The expression that represents how many guests the pizzas can serve is .

How many party guests will the pizzas serve? Drag and drop the number of guests into the box.

The pizzas can serve guests.

Answers

Hdhfhfjsgegdgdgdgeghdhfdhdhdgd
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