Answer:
(f x g)(x) = -11
Step-by-step explanation:
(f x g)(x)
f(g(x))
g(x) = -2²-3
g(x) = -4-3
g(x) = -7
f(-7) = (-7)-4
f(-7) = -11
A sequence is defined by f(0) = -20, f(n) = f(n-1) - 5 forn > 1.
1. Explain why f(1) = -20 – 5.
2. Explain why f(3) = -20 – 5 – 5 – 5.
3. Complete the expression: f(10) = -20 –
. Explain your reasoning.
Answer:
1. Proved down
2. proved down
3. f(10) = -20 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5
Step-by-step explanation:
Let us explain how to solve the question
∵ f(0) = -20, f(n) = f(n - 1) - 5 for n > 1
→ That means we have an arithmetic sequence with constant
difference -5 and first term -20
1. → f(1) means we need to find the second term, which equal the
term - 5
∵ f(1) means n = 1
∴ f(1) = f(1 - 1) - 5
∴ f(1) = f(0) - 5
∵ f(0) = -20
∴ f(1) = -20 - 5 → Proved
2. → f(3) means we need to find the third term, which equal the
second term - 5
∵ f(3) means n = 3
∴ f(3) = f(3 - 1) - 5
∴ f(3) = f(2) - 5
→ f(2) = f(1) - 5
∵ f(1) = -20 - 5
∴ f(2) = [-20 - 5] - 5 = -20 - 5 - 5
∴ f(3) = [-20 - 5 - 5] - 5
∴ f(3) = -20 - 5 - 5 - 5 → Proved
3. → From 1 and 2 we notice that the number of -5 is equal to n,
at n = 1 there is one (-5), when n= 3 there are three (-5)
∵ n = 10
∴ There are ten (-5)
∴ f(10) = -20 - 5(10)
∴ f(10) = -20 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 → Proved
Every month a school principal gives 2 pencils to each student who has perfect attendance in that month. There are x students with perfect attendance in September. Which phrase best describes what 2x represents?
Answer:
2x best represents that 2 pencil was given to each of the x student
★Please mark me as brainiest ★
2) - (6n-1)=-2n-15
I do not know :(
Answer:
n = 4
Step-by-step explanation:
Step 1: Write equation
-(6n - 1) = -2n - 15
Step 2: Solve for n
Distribute negative: -6n + 1 = -2n - 15Add 6n to both sides: 1 = 4n - 15Add 15 to both sides: 16 = 4nDivide both sides by 4: n = 4Step 3: Check
Plug in n to verify it's a solution.
-(6(4) - 1) = -2(4) - 15
-(24 - 1) = -8 - 15
-(23) = -23
-23 = -23
Answer:
If you're looking for n it's n=4
Step-by-step explanation:
...
hyfutdfyhjnkjbytxrytuyfguohiu
In which quadrant does the point (5,4 ) lie?
Answer:
quadrant 1
Step-by-step explanation:
-4x+6+30 for some value of x, what is the value of -2x+5, for the same value of x?
Answer:
The value of X is 15.5.
HELP “Translate the following statement in algebraic expressions.”
Answer:
Step-by-step explanation:
It is translated exactly as you would read it. 4*y - 7
PLEASE HURRY!!
Maggie makes blankets to sell. The table shows Maggie’s expense, f(x), her revenue, g(x), and her profit, h(x), per unit of yarn used, x.
Which expresses h(x) as a combined function?
h(x) =
x + f(x)
(f+g)(x)
(f-g)(x)
(g-f)(x)
Answer:
(g-f)(x)
Step-by-step explanation:
Revenue minus expenses by amount equals profit
Which is greater, 2 5/6 hours or 2.8 hours?
Answer:
2.8 hours
Step-by-step explanation:2.8 hours is greater because 2.8 hours is 3 hours and 20 minutes.
2 5/6 is not a full 3 hours, its just 2 hours and 50 minutes
The cost of a movie ticket in a large city has increased exponentially over the decades since 1953 when records were first kept. A function that models the cost is
C=1.25(1.5)^d
a) Rewrite the equation to give the cost of a movie ticket in terms of y years after 1953 instead of d decades.
b) Use your equation for part a to estimate the cost of a movie ticket in 1996.
c) Open-ended: Do you think your estimate in part b is reasonable
Answer:
(a) [tex]C=1.25\cdot (1.5)^{y/10}[/tex]
(b) $7.44
(c) Yes.
Step-by-step explanation:
The exponential function representing the cost of a movie ticket in a large city is as follows:
[tex]C=1.25\cdot (1.5)^{d}[/tex]
(a)
A decade equals 10 years.
Then for n decades the number of years will be,
y = 10 × n
Then the equation of the cost of a movie ticket in terms of y years after 1953 is as follows:
[tex]C=1.25\cdot (1.5)^{d}[/tex]
[tex]=1.25\cdot (1.5)^{(10\times n)/10}\\=1.25\cdot (1.5)^{y/10}[/tex]
The equation represents the cost of a movie ticket in
(b)
For the year 1953, the value of y is 0.
So, for 1996 the value of y will be, 44.
Compute the cost of a movie ticket in 1996 as follows:
[tex]C=1.25\cdot (1.5)^{y/10}[/tex]
[tex]=1.25\cdot (1.5)^{44/10}\\=1.25\times 5.9539\\=7.442375\\\approx 7.44[/tex]
Thus, the cost of a movie ticket in 1996 will be $7.44.
(c)
It is already provided that the cost of a movie ticket in a large city has increased exponentially over the decades since 1953.
So, for the year 1953 the cost of a movie ticket was, $1.25.
And the cost of a movie ticket in 1996 was $7.44.
This value shows an exponential increase in the cost.
Thus, the estimate in part b is reasonable.
Which statement is true?
450 is ten times as much as 45,000
4,500 is one -tenth of 45,000
450,000 is ten times as much as 4,500,000
450 is one - tenth of 4,500,000
Answer:
450,000 is ten times as much as 4,500,000
Step-by-step explanation:
450,000 x 10 is 4,500,000 super easy to do for future lessons!
hope this helped
Answer:
4,50,000 is ten times as much as 4,500,000
Step-by-step explanation:
4,50,000 × 10 is 4,500,000 .
Very easy question !
I'm sure it'll help you .
Please help me, I’ll give brainliest
Answer:
x = 45
y = 5
Step-by-step explanation:
it is because
90/2 = 45
(90+10)/20
(100)/20 = ,5
I NEED HELP PLEASE HELP ME
Answer: slope: 6. Y-intercept: -8
Step-by-step explanation: the equation for a slope is y = mx+b. M is the slope and b is the y intercept. Since it is minus 8 the y intercelt will be -8. I am 100 percent sure about slope and 75 percent sure about the y-intercept
A music store gives every 20th customer a five dollar gift card. Every 50th customer gets a $10 gift card. Which customer will be the first to receive both types of gift cards?
Answer:
the 100th customer would receive both
f(x) = x2 + 1
f(f(x))
=============================================
Work Shown:
f(x) = x^2 + 1
f(x) = ( x )^2 + 1
f( f(x) ) = ( f(x) )^2 + 1 .. replace every x with f(x)
f( f(x) ) = ( x^2+1 )^2 + 1 .. plug in f(x) = x^2+1
f( f(x) ) = ( x^2+1 )( x^2+1 )+1
f( f(x) ) = y( x^2+1 )+1 .... let y = f(x) = x^2+1
f( f(x) ) = y*x^2+y+1 ... distribute
f( f(x) ) = x^2*( y ) + ( y ) + 1
f( f(x) ) = x^2*( x^2+1 ) + (x^2+1) + 1 .... plug in y = x^2+1
f( f(x) ) = x^4 + x^2 + x^2 + 1 + 1
f( f(x) ) = x^4 + 2x^2 + 2
--------------------------------------
Side note: [tex]f(f(x)) = (f \circ f)(x)[/tex], the small circle indicates function composition. It's similar to [tex]f(g(x)) = (f \circ g)(x)[/tex]
Answer:
This answer is for f(x) = 2x + 1:
f( f(x) ) = 4x + 3
Step-by-step explanation:
If f(x) = 2x + 1, then f( f(x) ) is:
f(x) = 2x + 1
f( f(x) ) = 2( f(x) ) + 1
= 2 (2x + 1) + 1
= 4x + 2 + 1
f( f(x) ) = 4x + 3
Matilda needs at least $112 to buy a new dress. She has already saved $40. She earns $9 an hour babysitting. What would be the equation for this?
Answer: 9x+40=112
Step-by-step explanation:
Answer: 9h + 40 = 112
what the hell does any of this mean
Answer:
1/16x^4y^10
Step-by-step explanation:
I am smart...Calibri is the superior font and green is the only highlight color.
Answer:
1/(4x^2y^5)^2 Then simplify the denominator. Which is 1/(16x^4y^10)
Step-by-step explanation:
It wants you to simplify and get rid of the negative exponent. ^ this means exponent and the () mean that everything inside is the denominator.
HELPPP PLEASE‼️‼️❕❕❕❕
Find the two points on the graph
Hello!
The two points on the graph would be (-2, 0) and (2, -2).
Mike watches how the pendulum swings in his clock. He notices that it swings 1 time every 2 seconds. How long will it take to swing 5 times?
Answer: 10 seconds
Step-by-step explanation: The time it takes is exactly double its swing. 5 times 2 = 10
Nicole sold 2 glasses of milk for every 5 sodas she sold. If she sold 16 glasses pf milk, how many sodas did she sell?
Answer:
40
Step-by-step explanation:
2:5 = 16:40
find the length of the segment ab
Answer:
i think it 9 if it not sory <3
Step-by-step explanation:
Answer:
ITS 14
Step-by-step explanation:
In the triangle,sum of two angles is 90° which is the measure of the third angle. Also,the difference of these 2 angle is 10°, find the measure of these two unknown angles.
Find the area to the nearest foot of the shaded region below
Answer:
42 square feet
Step-by-step explanation:
You first multiply 14 by 14 to get the area of the whole square
Then you get the radius which is 7
Square it and you get 49π
Then you get 196-49π
If you solve it you get 42.0.....
Then if you round to the nearest foot you will get 42 square feet
Help!!! I do not understand this geometry problem.
Answer: 65
Step-by-step explanation:
Answer:
65
Step-by-step explanation:
1. Subtract 180(the total degrees of a straight angle) by the 95 degrees.
Angle #2 is 85.
2. Add 30 degrees and 85 degrees together. You'll get 115.
3. Subtract 180 (the total degrees in a triangle) by 115.
Angle m<1 is 65 degrees.2 3/10 x 3 1/3
2 2/5 x -4 3/4
Answer:
the first one is 7.59 and your second answer is -11.4
What is LCD of 5/2 and 1/5?
Answer:
10
Step-by-step explanation:
2x5=10
Answer:
The least common denominator is 10
What is 8\%8%8, percent of 100010001000?
Answer:
Step-by-step explanation:
answer is 80
8 percent of 1000 is 80.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Given a number that is the 8 percent of 1000.
from the formula of percentage:
Percent = (value/total value)×100%.
In our case,
percent = 8 %
Total value is 1000
thus, Value = 8 * 1000/100
Value = 80
therfore, 80 is the value of 8 percent of 1000.
Learn more about percentages here:
https://brainly.com/question/29306119
#SPJ6
Complete question:
What is8% percent of 1000?
Multiply then write the product in the simplest form
3/1
Answer:
9
Step-by-step explanation:
3/1*3/1=
3*3= 9
Answer: 9
9 is the most simplified version.
(I think this is what it means)
In 1 hr, a plane can travel 440 mi into the wind and 480 mi with the wind. Find the wind speed and the rate of the plane in still air.
The wind speed is
The rate of the plane in still air
Wind speed=
The rate of the plane in still air=
Answer:
the plane would fall and crash at 150mph
Step-by-step explanation:
equation is best that shows 48 is a multiple of three
