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
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
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Charlie went to Juarez, Mexico, on a shopping trip. He bought silver rings at $5 each
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
responda as expressões 2x+3x+5x:
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]
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
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:
please helpppppppppppppppppppppppppppppppppppppppp
Convert the following fractions into percent and decimals.
1/4, 1/25 , 1/6 , 1/3
Answer:
1/4 is 0.25
1/25 is .04
1/6 is 0.16
1/3 is 0.3
who else is being stressed of school right now??
i am so much can someone give advice on how to stop it??
:)
:)
:)
Answer:
Finish your homework first (EVERYTHING) before videogames
Step-by-step explanation:
what is the value of x?
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]
Please help if you want BRIANLIST PLEASE!!!
Answer:
there are 4 times larger
Step-by-step explanation: 11 x 4 = 44 so its 4 times larger
Question is on da picture pls help! :(
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.
Answer this Please For Top Brainly
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
simplify
(3 − 6n5 − 8n4) − (−6n4 − 3n − 8n5)
Answer:
Simplify the expression.
2n⁵−2n⁴+3n+3
A triangle has sides with lengths of 10, 15, and 6 feet. Find the perimeter of a similar triangle whose shortest side is 7
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
PLEASE HELP EASY!!!!!!!!!!
Answer:
its online survery tool
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
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.
Find the value of x.
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
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
Answer:
80 and 120 for 3 pointers
Step-by-step explanation:
$77 at 16% for 6 months
What is the difference between the total amount in the account if you did simple and compound interest?
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
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.
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
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.
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
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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?
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:
can u guys help wit a little bit more questions what is 9.04-6.98
Answer:
9.04-6.98=2.06
PLS HELP!! GIVING BRAINLIST
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
MY MOOOD RIGHT NOW
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
Answer:
nice dude keep it up ☺️
А
С
If AB = 3 and BC = 7, AC = [?]
CAN SOMEONE PLEASE HELP ME!!
Answer:
Idont know
Step-by-step explanation:
Answer:
ur answer is b
Step-by-step explanation:
ur welcome
Complete the equation. Answer as a fraction in its simplest form.
9xy * (2/3x)^3 = ( / )x^4 y
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:
the length of the edge of a cube is ³√7 cm. Find the volume of a cube
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
Is
Y=2x+7
Y-2x=7
One solultion,many solution or no solution?
Answer:
one solution! because the second one is the exact same solution once you simplify! :)
(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 =
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
Need help on surface area of this!
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
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
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
