Function Composition:
Let the functions f(x), g(x) and h(x), determine:

Function Composition:Let The Functions F(x), G(x) And H(x), Determine:

Answers

Answer 1

Answer:

a)

f · g(3) = f(g(3)) = f(√(3*3 - 6)) = f(√3) = (√3)² + 7 = 3 + 7 = 10

b)

g · f(2) = g(f(2)) = g(2² + 7) = g(11) = √(3*11 - 7) = √26

c)

h · f(√5) = h(f(√5)) = h((√5)² + 7) = h(12) = (-12 - 5)/2 = -17/2 = -8.5

d)

g · (10/3) = g(g(10/3)) = g(√(3*10/3 - 6) = g(√4)= g(2) = √(3*2 - 4) = √2

Related Questions

A scale drawing of a park can be seen below. If 1 inch is equal to 15 feet. What is the actual area of the park

Answers

Answer:

Where's the drawing? Can you include it?

Step-by-step explanation:

Would appreciate someone’s help :)

5) Find the length of all four sides of this rectangle. Use the distance formula and the points given - DO NOT JUST
COUNT SQUARES.


Answers

Count the squares

Side 1:5

Side 2:7

Side 3: 5

Side 4: 7

30) 30) At a liberal arts college, students are classified as humanities or science majors. There is a probability of 0.9 that a humanities major will change to science and of 0.2 that a science major will change to humanities. What are the long-term predictions for each major

Answers

Answer:

hence the long-term prediction for each major ; [ 1 , 1 ]

Step-by-step explanation:

Probability of A humanities major changes to Science = 0.9

P( science major changes to humanities ) = 0.2

Determine the long term predictions for each Major

The Transition matrix can be written as

[tex]\left[\begin{array}{ccc}0.1&0.9&\\0.8&0.2&\\\end{array}\right][/tex]

Find the equilibrium matrix p' of the Transition matrix above by finding the values of p, p^2 , p^3 ......... until any row of the resultant matrix

The eigen ( equilibrium ) vectors of the matrix

[tex]\left[\begin{array}{ccc}1&-1.125&\\1&1&\\\end{array}\right][/tex]

hence the long-term prediction for each major ; [ 1 , 1 ]

18 m 13m 13 m find the surface area ​

Answers

Answer:

3510 m² I guess..........

An arc of a circle has a length of 4pi units. If the circle it comes from has a radius of 12 units, what is the measure of the central angle in radians associated with this arc?


NO LINKS PLEASE

Answers

If we start with a circle with a marked radius line, and turn the circle a bit, the area marked off looks something like a wedge of pie or a slice of pizza; this is called a "sector" of the circle, and the sector looks like the green portion of this picture:

circle with central angle "θ" and radius "r" marked, delineating the sector, which is shaded a light green

The angle marked off by the original and final locations of the radius line (that is, the angle at the center of the pie / pizza) is the "subtended" angle of the sector. This angle can also be referred to as the "central" angle of the sector. In the picture above, the central angle is labelled as "θ" (which is pronounced as "THAY-tuh").

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How do I Find 100th term for 1,2,4,8,16,32,64,128

Answers

Answer:

One can see that:

2^0 = 1

2^1 = 2

2^2 = 4

S0 2^99 = 100 th term

2^99 = 6.34 * E29

Math number 12

Find the value of x

Answers

Answer:

10

Step-by-step explanation:

LN = 4 + x - 8 = x - 4

LS = 3 + x - 5 = x - 2

By intersecting secants theorem:

[tex]LM\times LN = LK\times LS \\ \\ 4(x - 4) = 3(x - 2) \\ \\ 4x - 16 = 3x - 6 \\ \\ 4x - 3x = 16 - 6 \\ \\ x = 10[/tex]

At a candy store, Brooke bought 1
pound of jelly beans and 6 pounds
of gummy worms for $42
Meanwhile, Ken bought 5 pounds
of jelly beans and 4 pounds of
gummy worms for $54. How
much does one pound of jelly
beans and one pound of gummy
worms candy cost?

Answers

Answer:

One pound of jelly  beans and one pound of gummy  worms candy cost $6 each

Step-by-step explanation:

Given

Let

[tex]J \to[/tex] Jelly Beans

[tex]G \to[/tex] Gummy worms

So, we have:

Brook

[tex]J + 6G = 42[/tex]

Ken

[tex]5J + 4G = 54[/tex]

Make J the subject in the first equation

[tex]J + 6G = 42[/tex]

[tex]J = 42 - 6G[/tex]

Substitute [tex]J = 42 - 6G[/tex] in [tex]5J + 4G = 54[/tex]

[tex]5*[42 - 6G] + 4G = 54[/tex]

Open bracket

[tex]210 - 30G + 4G = 54[/tex]

[tex]210 -26G = 54[/tex]

Collect like terms

[tex]-26G = 54 - 210\\[/tex]

[tex]-26G = -156[/tex]

Divide both sides by -26

[tex]G = 6[/tex]

Substitute [tex]G = 6[/tex] in [tex]J = 42 - 6G[/tex]

[tex]J = 42 - 6*6[/tex]

[tex]J = 42-36[/tex]

[tex]J = 6[/tex]

The length of a rectangle is 3 inches longer than it is wide. If the area is 180 square inches, what are the
dimensions of the rectangle?

Answers

Answer:

Width=12 inches

Length=15 inches

Step-by-step explanation:

Let's say the width is x.

Then, the length is x+3.

The area of a rectangle is the length times width, so

x(x+3)=180

x^2+3x=180

x^2+3x-180=0

After using the quadratic formula, x comes out to be 12 or -15.

x cannot be -15 because you can't have negative distance, so we are left with x=12.

The width is 12 inches and the length is 12+3=15 inches.

Check: 12*15=180

Answer:

The width is 12 and the length is 15.

Step-by-step explanation:

You set the equation as x is equal to the width and since the lenght is 3 units longer than the width, it can be seen as "x + 3"

[tex]Area=(Length)(Width)[/tex]

180= x × (x + 3)

Then from there you just solve for x.

A bag contains the letters of the alphabet. What is the probability of choosing a vowel from the bag? (a, e, i, o and u )

13/26



1/26



19/26



5/26

Answers

Answer:

13/26

Step-by-step explanation:

Trust me babes

What is the scale factor


Please help me

Answers

It is 24.2 because you divided and add

Sequences:
Determine the first five terms of the following sequences:

A. [tex]a_{n} = \frac{2n+3}{4}[/tex]

B. [tex]a_{n} = \frac{n-3}{n-2}[/tex]

Answers

Answer:

A.

aₙ = (2n + 3)/4

The first 5 terms:

a₁ = (2*1 + 3) / 4 = 5/4a₂ = (2*2 + 3) / 4 = 7/4a₃ = (2*3 + 3)/ 4 = 9/4a₄ = (2*4 + 3) / 4 = 11/4a₅ = (2*5 + 3) / 4 = 13/4

B.

aₙ = (n - 3)/(n - 2)

The first 5 terms:

a₁ = (1 - 3) / (1 - 2) = 2a₂ = (2 - 3) / (2 - 2) = undefineda₃ = (3 - 3)/ (3 - 2) = 0a₄ = (4 - 3) / (4 - 2) = 1 / 2a₅ = (5 - 3) / (5 - 2) = 2 / 3

Find the number of faces, edges, and vertices of the solid. ​

Answers

Answer:

Faces ~ 6

Edges ~ 12

Vertices ~ 8

If this helped, please mark me brainliest (๑・ω-)~♥”

Find the missing length.
c=[?]
6
C
9
Pythagorean Theorem: a2 + b2 = c2
Enter

Answers

Answer:

yep

Step-by-step explanation:

mhm

Answer:

c = 10.81

Step-by-step explanation:

if it's a² + b² = c²

6² + 9² = c²

36 + 81 = c²

117 = c²

(square root both)

10.81 = c

(I think this is right)

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
A test to detect an infection gives a positive result 98% of the time when an infection is present. It is 97% accurate when an infection is not present.

___% of results will be false negatives, and
___% of results will be false positives.

Answers

Answer:

I believe 2% will be false negatives and 3% will be false positives

Step-by-step explanation:

what's the slope for coordinates (-3,2) (3,-3)

Answers

Answer:

-5/6

Step-by-step explanation:

slope = (difference in y)/(difference in x)

slope = (-3 - 2)/[3 - (-3)] = -5/6

Answer:

-5/6

Step-by-step explanation:

Can someone please help me

Answers

Answer:

The answer is (1/2 x 18 + 5)

Step-by-step explanation:

This is the answer because that is the only thing in the options higher than Keisha's expression.

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

find the volume of the cone. Round you’re answer to the nearest truth if necessary. Use 3.14

Answers

Answer:

1,961.6

Step-by-step explanation:

Plz help me well mark brainliest if correct..????

Answers

Answer:

B.option is the correct answer right no

Answer:

300 miles

Step-by-step explanation:

I couldn't see the top bit by friday because it was outside of the photo, but if my estimations are correct, it should reasonably be 300 miles

a loaf of bread has 12 slice. micky ate 1/4 of the loaf. write the fraction of the loaf micky ate in twelfths

Answers

Answer:

3/12

Step-by-step explanation:

1/4*3/3=3/12

What is the length of the third side?

Answers

Answer:

√115

Step-by-step explanation:

14²= 9² + x²

x= √14²-9² = √115

Step-by-step explanation:

using Pythagores theorem

h²=p²+b²

14²=p²+9²

p²=196-81

p=√115

p=10.72

stay safe healthy and happy...

Given a feedlot of about 2500 cows, if an individual cow produces about 40 liters of manure per day, how many kiloliters of manure would be produced in one month?​

Answers

9514 1404 393

Answer:

  3000 kL

Step-by-step explanation:

  (2500 cows)(40 L/day/cow)(30 day/mo)(1 kL/(1000 L)) = 2.5×40×30 kL/mo

  = 3000 kL/mo

About 3000 kL of manure would be produced in one month.

___

That's about 3 cubic meters.

Find the missing side. Round to the nearest tenth

Answers

Answer:

We know Cot51 = x/17

=> 0.809784 × 17 = x

=> 13.753 = ×

.°. The value of x = 13.753 ~~ 14.000 (Ans)

This figure consists of a rectangle and semicircle.

What is the perimeter of this figure?

Use 3.14 for pi.


60.84 m

72.84 m

79.68 m

98.52 m

Answers

Answer:

hope it helps!

Step-by-step explanation:

Perimeter includes three sides of rectangle:

15m + 12m + 15m

Plus half of circle with diameter 12m

Circumference = diameter * PI

Circumference = 37.68m.

1/2 circumference = 18.84m

Total perimeter is 15m+12m+15m+18.84m

60.84m

Answer:

The answer is 60.84.

Step-by-step explanation:

plzzzzzzzz help for a brainly

Answers

Answer:

246

Step-by-step explanation:

PLEASE HELP MATH QUESTION 99 POINTS HELP ASAP PLEASE
LOOK AT LINKED IMAGE FOR QUESTION.

Answers

Answer:

Graph A. not a function

Graph B. is a function

Mapping A. is a function

Mapping B. not a function

Table A. not a function

Table B. is a function

Answer:

a graph. not a function

b graph.function

a table. not a function

b table. function

maaping a. function

mapping b. not a function

Step-by-step explanatio n:

mark me brainelst plz

Norman purchases five pounds of apples for $10. What is the price per pound?

Answers

Answer:

2 dollars per pound

Step-by-step explanation:

10/5=2

Answer:

2 Dollars per pound

Step-by-step explanation:

you can divide $10 by how many bags of apples you bought to get 2 dollars per pound

What do you think the answer is

Answers

23/69 is about fashion

What is the measure of angle QRS

Answers

Answer:

∠QRS = 35°

∠Q = 116°

Step-by-step explanation:

∠QRS and ∠QRT are supplementary angles

Supplementary angles add up to equal 180

Thus, 145° + ∠QRS = 180

180 - 145 = 35

145 - 145 cancels out

we're left with ∠QRS = 35°

In order to find the measure of ∠Q

We must find y

We have already identified that ∠QRS = 35°

Which means that we can find y by using the triangle angles rule which states that all angles in a triangle add up to equal 180

So 180 = y + 4y + 35

now we solve for y

step 1 combine like terms

y + 4y = 5y

we now have 180 = 5y + 35

step 2 subtract 35 from each side

180 - 35 = 145

35 - 35 cancels out

now we have 145 = 5y

step 3 divide each side by 5

5y / 5 = y

145 / 5 = 29

We're left with y = 29

Now we can find ∠Q

To do this we substitute y for 29

∠Q = 4(29)

4 * 29 = 116

Hence ∠Q = 116

Answer:

145=4y+y { exterior angle of triangle is equal to the sum of its opposite interior angle}

5y=145y=145/5y=29°

measure of / Q =4y =4×29=116°

measure of angleQRS

let unknown angle be'x'

x+4y+y=180°{sum of angle of triangle}x+116°+29=180x=180-145x=35°

hope it helps

stay safe healthy and happy.

PLEASE HELP MATH QUESTION 99 POINTS ASAP
Function A and Function B are linear functions. Compare the two functions and choose all that are correct.

Answers

Answer:

 2 .The slope of Function A is less than the slope of Function B

A graph of Function A shows it has a y-intercept of 4, the same as that of Function B. (Statements 3 and 4 are not correct.)

The slope of Function A is 2, which is less than the slope of 3 that Function B has. (Statement 2 is correct; statement 1 is not.)

_____

More detailed working

The slope of Function A can be figured easily between the points with x-values that differ by 1:

 m = (y3 -y2)/(x3 -x2) = (24-22)/(10-9) = 2/1 = 2 . . . . . Fun A has slope of 2.

The slope of Function B is the coefficient of x in the equation: 3.

__

The y-intercept of Function A can be found starting with point-slope form:

 y -22 = 2(x -9)

 y = 2x -18 +22

 y = 2x +4 . . . . . . . slope-intercept form

The intercept of +4 is the same as that of Function B.

Step-by-step explanation:

mrk me brainliest plz

Answer:

2 .The slope of Function A is less than the slope of Function B

A graph of Function A shows it has a y-intercept of 4, the same as that of Function B. (Statements 3 and 4 are not correct.)

The slope of Function A is 2, which is less than the slope of 3 that Function B has. (Statement 2 is correct; statement 1 is not.)

_____

More detailed working

The slope of Function A can be figured easily between the points with x-values that differ by 1:

m = (y3 -y2)/(x3 -x2) = (24-22)/(10-9) = 2/1 = 2 . . . . . Fun A has slope of 2.

The slope of Function B is the coefficient of x in the equation: 3.

__

The y-intercept of Function A can be found starting with point-slope form:

y -22 = 2(x -9)

y = 2x -18 +22

y = 2x +4 . . . . . . . slope-intercept form

The intercept of +4 is the same as that of Function B.

Step-by-step explanation:

MARK ME BRAINLEIST PLZ PLZ PLZ

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