9. The functions f and g are such that
f(x) = 3(x – 4) and g(x) = x/5+1
a) Find the value of f(10)
b) Find g-'(x)
c) Show that ff(x) = 9x - 48​

Answers

Answer 1

Answer:

a) f(10) = 18

b) g-¹(x) = 5x-5

c) 3((3(x-4))

= 3((3x-12)-4))

= 3(3x-16)

= 9x-48

Answer 2

The value of f(10) = 18, g'(x) = 1/5 and ff(x) = 9x - 48​

What is function?

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.

Given that, The functions f and g are such that f(x) = 3(x – 4) and

g(x) = x/5+1

a) f(10) = 3(10-4)

= 3(6)

= 18

b) g'(x) = d/dx(x/5+1)

= 1/5d/dx(x) = 1/5

c) ff(x) =

= 3((3(x-4))

= 3((3x-12)-4))

= 3(3x-16)

= 9x-48

Hence, The value of f(10) = 18, g'(x) = 1/5 and ff(x) = 9x - 48​

For more references on functions, click;

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Related Questions

Is
Y=2x+7
Y-2x=7
One solultion,many solution or no solution?

Answers

Answer:

one solution! because the second one is the exact same solution once you simplify! :)

Complete the equation. Answer as a fraction in its simplest form.

9xy * (2/3x)^3 = ( / )x^4 y

Answers

Step by Step Solution

STEP

1:

           2

Simplify   —

           3

Equation at the end of step

1:

         2

 9xy • ((— • x)3)

         3

STEP

2:

Equation at the end of step

2:

       23x3

 9xy • ————

        33

STEP

3:

Multiplying exponential expressions :

3.1    x1 multiplied by x3 = x(1 + 3) = x4

Dividing exponents:

3.2    32   divided by   33   = 3(2 - 3) = 3(-1) = 1/31 = 1/3

Final result :

 8x4y

 ————

  3  

Step-by-step explanation:

Charlie went to Juarez, Mexico, on a shopping trip. He bought silver rings at $5 each

Answers

Answer:

7 bracelets & 10 rings

Step-by-step explanation:

I sadly don’t have the explanation because I’m trying to find it but I only have the answer

(x - 2)(2x + 3)(x + 5) can be written in the form ax + bx² + cx + d.
where a and b are positive integers, and c and d are negative integers.
Find the values of a, b, c and d.
a =
b =
C=
d =

Answers

Answer:

B and a good time to get answer of your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and answers to

Answer:

2x^3 + 9x^2 - 11x - 30

so a=2, b=9, c= -11 and d= -30

Tom has a total of 15 stamps. some are worth 10 cents and some are worth 20. The value of the stamp is 2.40. how many of each stamp does he have?
A. what are you trying to find?
B. what system of equations that models this scenario?

Answers

Answer:

a) how many stamps are worth $0.10 and how many are worth $0.20

b) x + y = 15

   .10x + .20y = 2.40

Step-by-step explanation:

simplify
(3 − 6n5 − 8n4) − (−6n4 − 3n − 8n5)

Answers

Answer:

Simplify the expression.

2n⁵−2n⁴+3n+3

responda as expressões 2x+3x+5x:​

Answers

The answer for 2x+3x+5x is 10x

Answer:

[tex]\tt{}10x[/tex]

Step-by-step explanation:

[tex]\tt{}2x + 3x + 5x[/tex]

[tex]\tt{}(2 + 3 + 5)x[/tex]

[tex]\tt{}10x[/tex]

PLS HELP!! GIVING BRAINLIST

Answers

Answer:

Exactly 1 solution

Step-by-step explanation:

When you graph it, you'll see that both lines intersect at 1 point in time only

А
С
If AB = 3 and BC = 7, AC = [?]

Answers

it should be 10. you add up ab and bc

Need help on surface area of this!

Answers

Answer:

Area = 1476 units^2

Step-by-step explanation:

(2)(12)(30) + (2)(9)(30) + (2)(9)(12) total area

Area = 1476 units^2

Answer:

1,476 units

Step-by-step explanation:

Formula of surface area (rectangular prism):

A = 2(wl + hl + hw)

2 · (12·9 + 30·9 + 30·12) = 1476

PLEASE HELP EASY!!!!!!!!!!

Answers

Answer:

its online survery tool

$77 at 16% for 6 months


What is the difference between the total amount in the account if you did simple and compound interest?

Answers

Answer:

$0.231

Step-by-step explanation:

Given data

P= $77

r= 16%

t= 6 months= 0.5 years

For simple interest

A= P(1+rt)

A=77(1+0.16*0.5)

A= 77(1+0.08)

A= 77*1.08

A= $83.16

For compound interest

A=P(1+r)^t

A= 77(1+0.16)^0.5

A= 77(1.16)^0.5

A= 77*1.077

A= $82.929

The difference is

=83.16- 82.929

=$0.231

Question 10 of 10
A triangle has two sides of lengths 4 and 7. What value could the length of
the third side be? Check all that apply.
DA. 11
✓ B. 7
C. 3
DD. 5
DE. 17
DE 9
SUBMIT

Answers

9514 1404 393

Answer:

  B, D, F

Step-by-step explanation:

The length of the third side must lie strictly between the sum and difference of the given lengths. If the third side is x, you must have ...

  7-4 < x < 7+4

  3 < x < 11

The numbers in the list of choices that lie between these limits are 5, 7, 9, choices B, D, F.

Please help if you want BRIANLIST PLEASE!!!

Answers

Answer:

there are 4 times larger

Step-by-step explanation: 11 x 4 = 44 so its 4 times larger

Find the value of x.

Answers

Answer:

x=68

Step-by-step explanation:

A²+b²=C²

side a:60²=3600

side b:32²=1024

3600+1024=4624

side c=√4624=68

Answer this Please For Top Brainly

Answers

Answer:

300g for 7.49 has the best value

Step-by-step explanation:

200g for 5.69

200/5.69

35.15g for 1

300g for 7.49

300/7.49

40.05g for 1

the nth term of a sequence is 3n2-1
the nth term of a different sequence is 30-n2
find the only number in both sequences

Answers

Answer: The common number is 26.

Step-by-step explanation:

We know that the n-th term of a sequence is:

aₙ = 3*n^2 - 1

And the n-th term of another sequence is:

bₙ = 30 - n^2

Remember that in a sequence n is always an integer number.

We want to find a number that belongs to both sequences, then we want to find a pair of integers x and n, such that:

aₙ = bₓ

This is:

3*n^2 - 1 = 30 - x^2

Let's isolate one of the variables, i will isolate n.

3*n^2 = 30 - x^2 + 1 = 31 - x^2

n^2 = (31 - x^2)/3

n = √( (31 - x^2)/3)

Now we can try with different integer values of x, and see if n is also an integer.

if x = 1

n = √( (31 - 1^2)/3) = √10

We know that √10 is not an integer, so we need to try with another value of x.

if x = 2:

n = √( (31 - x^2)/3) = √(27/3) = √9 = 3

Then if we have x= 2, n is also an integer, n = 3.

Then we have:

a₃ = b₂

The common number between both sequences is:

a₃ = 3*(3)^2 - 1 = 26

b₂ = 30 - 2^2 = 26

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Ooh-ooh
Ooh-ooh
Ooh-ooh, ooh
Up in your room once again, tempted
Bad for me, it's the truth, but I can't miss this
Don't tell my friends that I'm here to visit
Don't tell my friends that I'm here (mm-mm-mmm, yeah)
Waiting for you, even how you treat me
You're my baby even when you leave me
Maybe I'm the one to blame
Maybe I'm the cause of the pain
Waiting for you, even how you treat me
You're my baby even when you leave me
Maybe I'm the problem and the one that's causing all of this
I can't say I love you no more (more)
'Cause my friends gon' judge me for sure (sure)
It took some time but I realized
You do me wrong but it feels right
I can't say I love you no more (more)
'Cause my friends gon' judge me for sure (sure)
It took some time but I realized
You do me wrong but it feels right
Feels like I'm stuck on you

Answers

Answer:

nice dude keep it up ☺️

Find m and n if the remainder when 8x^3+mx^2-6x+n if divided by (x-1) and (2x-3) are 2 and 8 respectively

Answers

Answer:

we have:

8x³ + mx² - 6x + n

= 8x³ - 8x² + (m + 8)x²- (m + 8)x + (m + 2)x - (m + 2) + m + 2+ n

= 8x²(x - 1) + (m + 8)x(x - 1) + (m + 2)(x - 1) + (m + n + 2)

= (x - 1)[8x² + (m + 8)x + m + 2] + (m + n + 2)

because the remainder if divided by (x-1) is 2

=> m + n + 2 = 2

⇔ m + n = 0 (1)

we also have:

8x³ + mx² - 6x + n

= 8x³ - 12x² + (m + 12)x² - 3/2.x.(m + 12) + ( 12 + 3/2.m)x - (9/4.m +  18) + n +9/4m + 18              

= 4x²(2x - 3) + 1/2.(m + 12)x(2x - 3) + (3/2m + 12).1/2.(2x - 3) + 9/4m + n + 18

= (2x - 3)(4x² + (m + 12)/2.x + 3/4m + 6) + 9/4m + n + 18

 because the remainder if divided by  (2x - 3) is 8

=> 9/4m + n + 18 = 8

⇔ 9/4m + n = -10 (2)

from (1) and (2), we have:

m + n = 0

9/4m + n = -10

=> m = -8

      n = 8

Step-by-step explanation:

You have $75 and need to buy 9 books at the bookstore and each book costs d dollars. ​Write an algebraic expression to represent the amount of money left over.

Answers

Answer:

y = 75 - 9d

Step-by-step explanation:

y = amount of $ left

An algebraic expression to represent the amount of money left over is y = 75 - 9d

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol can also be used to indicate the logical syntax's order of operations and other features.

Given that You have $75 and need to buy 9 books at the bookstore and each book costs d dollars.

Let y be the amount of $ left

Therefore, the expression would be;

y = 75 - 9d

To know more about an expression follow;

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A book costs b dollars and a magazine costs m dollars.

Write an expression for the total cost, in dollars, of 5 books and 3 magazines.

Answers

Answer:

C = 5b + 3m

Step-by-step explanation:

Answer:

5b + 3m

Step-by-step explanation:

If b represents the cost of a book, then 5b will represent the cost of 5 books

If m represents the cost of a magazine, then 3m will represent the cost of 3 magazines.

To create an expression for the total cost, add these terms together:

5b + 3m

So, the expression for the total cost is 5b + 3m

CAN SOMEONE PLEASE HELP ME!!

Answers

Answer:

Idont know

Step-by-step explanation:

Answer:

ur answer is b

Step-by-step explanation:

ur welcome

who else is being stressed of school right now??
i am so much can someone give advice on how to stop it??


:)
:)
:)

Answers

Answer:

Finish your homework first (EVERYTHING) before videogames

Step-by-step explanation:

A triangle has sides with lengths of 10, 15, and 6 feet. Find the perimeter of a similar triangle whose shortest side is 7​

Answers

Answer:

P = 36 1/6 feet

Step-by-step explanation:

you can create the following proportion:

6 / 7 = 10 / x

cross-multiply:

6x = 70

x = 11 2/3

use the same ratio to write a second proportion to find the last side:

6 / 7 = 15 / x

cross-multiply:

6x = 105

x = 17 1/2

Perimeter = 7 + 11 2/3 + 17 1/2  =  28 7/6 + 7  =  29 1/6 + 7 = 36 1/6 feet

what is the value of x?

Answers

Answer:

68

Step-by-step explanation:

c=√a^2+b^2

√ 60^2 + 32^2 =68

We will use the Pythagorean Theorem

[tex]x {}^{2} = {32}^{2} + {60}^{2} \\ {x}^{2} = 1024 + 3600 \\ x {}^{2} = 4624 \\ x = \sqrt{4624} \\ x = 68[/tex]

Question is on da picture pls help! :( ​

Answers

The first step would be to find how many players do both activties. So we would need to add 3/8 + 4/5.

I think you may now how to add fractions, but I will explain it anyways.

1. Figure out a common denominator, and find the equivlent fraction

2. Add

15/40 + 32/40   = 37/40

Then we need to figure how many members the fraction 37/40 represents.

As the fraction is already out of 40,

it would represent 37 members.

Therefore, 37 members do both activites.

can u guys help wit a little bit more questions what is 9.04-6.98 ​

Answers

Answer:

9.04-6.98=2.06

The cougars scored a total of 90 points in their basketball game last night against the bears. the cougars made no one-point shots, and a total of 40 two-point and three-point shots. let x represent the two-point shots and y represent the three-point shots.

part a
write and solve a system of equations that can be used to determine the number of two-point and three-point shots the cougars made.

part b
identify the solution​

Answers

Answer:

80 and 120 for 3 pointers

Step-by-step explanation:

please helpppppppppppppppppppppppppppppppppppppppp



Convert the following fractions into percent and decimals.


1/4, 1/25 , 1/6 , 1/3

Answers

Answer:

1/4 is 0.25

1/25 is .04

1/6 is 0.16

1/3 is 0.3

the length of the edge of a cube is ³√7 cm. Find the volume of a cube​

Answers

Answer:

7 [tex]cm^{3}[/tex]

Step-by-step explanation:

volume is length X width X height

since a cube has the same measurement for length, width, and height, the volume is found by multiplying [tex]\sqrt[3]{7}[/tex] X [tex]\sqrt[3]{7}[/tex] X [tex]\sqrt[3]{7}[/tex]

the answer is 7

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