( f ∘ g ) ( x ) is equivalent to f ( g ( x ) ) . We solve this problem just as we solve f ( x ) . But since it asks us to find out f ( g ( x ) ) , in f ( x ) , each time we encounter x, we replace it with g ( x ) . In the above problem, f ( x ) = x + 3 . Therefore, f ( g ( x ) ) = g ( x ) + 3 . ⇒ ( f ∘ g ) ( x ) = 2 x − 7 + 3 ⇒ ( f ∘ g ) ( x ) = 2 x − 4 Basically, write the g ( x ) equation where you see the x in the f ( x ) equation. f ∘ g ( x ) = ( g ( x ) ) + 3 Replace g ( x ) with the equation f ∘ g ( x ) = ( 2 x − 7 ) + 3 f ∘ g ( x ) = 2 x − 7 + 3 we just took away the parentheses f ∘ g ( x ) = 2 x − 4 Because the − 7 + 3 = 4 This is it g ∘ f ( x ) would be the other way around g ∘ f ( x ) = 2 ( x + 3 ) − 7 now you have to multiply what is inside parentheses by 2 because thats whats directly in front of them. g ∘ f ( x ) = 2 x + 6 − 7 Next, + 6 − 7 = − 1 g ∘ f ( x ) = 2 x − 1
Hello,
[tex]f(x)=7x-3\\g(x)=x^2\\\\(fog)(x)=g(f(x))=g(7x-3)=(7x-3)^2=49x^2-42x+9\\\\(gof)(x)=f(g(x))=f(x^2)=7x^2-3\\\\(fog)(0)=g(f(0))=49*0^2-42*0+9=9\\\\(gof)(0)=f(g(0))=7*0^2-3=-3\\[/tex]
Since i don't know what is (g°O(1) and you haven't correct your question ,
i has put the 2 possibles answsers.
Help please guys if you don’t mind
Step-by-step explanation:
Step 2:
[tex] ({15x}^{2} - 9x) + (5x - 3)[/tex]
Stepc3:
[tex]3x(5x - 3)[/tex]
What is the domain and range of graph!!! 10 points!!!
Answer:
THIRD OPTION - Domain: (0, infinity)
Range: (-infinity, + infinity)
Step-by-step explanation:
The graph is an asymptote, therefore the domain must start at 0 and end at infinity. The range is all real numbers because eventually it will reach all y values.
A regular six sided die and an eight equal segment spinner, numbered 1 to 8, are rolled/spun simultaneously. What are the odds in favor of spinning a prime number on the spinner and rolling a number less or equal to 4 on the die?
Answer:
1/3
Step-by-step explanation:
In statistics, the probability of both an event A and an event B happening is equal to the probability of A happening multiplied by the probability of event B happening.
Let's say spinning a prime number is event A and rolling a number ≤ 4 is event B.
There are 8 possibilities on an eight equal segment spinner, and there are 4 prime numbers between 1 and 8 (including 8), which are 2, 3, 5, and 7. This means that the probability of spinning a prime number is 4/8, or 1/2
There are 6 possibilities on a die, and there are 4 possibilities of rolling a 4 or less (1, 2, 3, 4). Therefore, the probability of rolling 4 or less on a die is 4/6, or 2/3
The probability of both of these happening can be calculated by multiplying these together, so 1/2 * 2/3 = 2/6 = 1/3
Given the original statement "If a number is negative, the additive inverse is positive," which are true? Select
three options
Olf p = a number is negative and q = the additive inverse is positive, the original statement is p - 9.
Olf p = a number is negative and q = the additive inverse is positive, the inverse of the original statement is
---
Olf p = a number is negative and q = the additive inverse is positive, the converse of the original statement is
-9 - p.
Olf q = a number is negative and p = the additive inverse is positive, the contrapositive of the original
statement is pr9
If q = a number is negative and p = the additive inverse is positive, the converse of the original statement
is 9 - P.
no
Answer:
1,2.
Step-by-step explanation:
.
Write the equation of the graph shown below in factored form.
Answer:
where is the graph?
Step-by-step explanation:
I could help.
The diagram shows a cylinder of diameter 6 cm and height 20 cm what is the volume in cm3
Answer:
565.2cm³
Step-by-step explanation:
the radius= 6/2= 3 cm
the height= 20cm
the volume= 3.14× 3²×20
= 3.14×180= 565.2 cm³
Check the picture below.
Which of the following correlation coefficient would represent the Strongest correlation? A) 0.12 B) -0.56 C) -0.91 D) 84.
Answer:
C) -0.91
Step-by-step explanation:
A indicates a very slight positive correlation; not a strong one. B indicates a moderate negative correlation, but again, not a strong one. D indicates a strong correlation, but it is less than C, which I will get to. The answer is C, and because it is closest to ± 1, it is the strongest correlation.
Answer:
c
Step-by-step explanation:
The price of a colour TV is $ 13440, inclusive of sales tax. If the printed price of the colour TV be $ 12000 then find the rate of sales tax.
Answer:
12%
Step-by-step explanation:
first subtract 12000 from 13440 which is 1440 which is the amount of sales tax. to find the rate you need to find at what percentage was multiplied by. I got 0.12 which means 12 percent sales tax.
A wooden board 27 ft long is cut into two pieces so that the longer piece is 8
times as long as the shorter piece. Find the lengths of the two pieces.
Answer:
3ft and 24 ft.
Step-by-step explanation:
Let the length of the shorter piece be xThe longer piece is 8 times as long as shorter piece
therefore,
Length of longer piece = 8xTotal length of the wooden board = 27 ft.
27 = longer length + shorter length
27 = x + 8x
27 = 9x
dividing both sided by 9
3 = x
since x was the length of the shorter piece
shorter piece is 3 ft. long
and the longer piece was equal to 8x
longer piece is 24 ft. long
Kristy bought a new tv the total cost of the tv was £360 including vat at 20% work out the cost of the tv before the vat was added
Answer:
£288
Step-by-step explanation:
Kathy bought a TV for the cost of 360 pounds, including VAT (taxes).
Since the taxes are 20% of the TV's value, we can calculate 20% of 360.
20% of 360 = 72
360 - 72 = 288
Therefore, the cost of the TV before taxes was £288.
Help and explain !!!!
Answer:
x = 3
Step-by-step explanation:
f(x) means function of x, and could be replaced by y to just give a y = mx + b equation. So if f(x) = y = 11, you're pretty much solving for x with the equation
11 = 3x + 2
From there, isolate x, and you have your answer.
11 = 3x + 2
9 = 3x
x = 3
Can someone help with this please & thank you It’s due tomorrow
Answer:
[11] x = 3
[12] x = 37
[13] x = 1.2
[14] x = 62
The expression 2(a+b)-8.1 for certain values of a and b.find the value of the following expressions for the same values of a and b: 3(a+b)
Note: Consider the given equation is [tex]2(a+b)=8.1[/tex] instated of [tex]2(a+b)-8.1[/tex].
Given:
The expression [tex]2(a+b)=8.1[/tex] for certain values of a and b.
To find:
The value of [tex]3(a+b)[/tex] for the same value of a and b.
Solution:
We have,
[tex]2(a+b)=8.1[/tex]
Divide both sides by 2.
[tex](a+b)=\dfrac{8.1}{2}[/tex]
[tex](a+b)=4.05[/tex]
Multiply both sides by 3.
[tex]3(a+b)=3\times 4.05[/tex]
[tex]3(a+b)=12.15[/tex]
Therefore, the value of [tex]3(a+b)[/tex] is 12.15.
Please help me with this one I seriously suck at math
Answer:
6×5+8×6+6×7+2×1/2×4×8
= 152 in^2
○●○●○●○●○●○
☆Hope it helps...
How many solutions are there to the system of equations graphed below if the lines are parallel? A. Zero B. One C. Two D. Infinitely many
Answer:
A) 0
Step-by-step explanation:
The solution is a couple (x, y) that are the coordinates of the intersection point of the lines.
If the lines are parallel there is no intersection and no solution to the system of equations
The required, system of the equation of the line shown in the graph has no solution. Hence option A. Zero is correct.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
Here,
Two parallel lines with some space between them are shown on the given graph. The system of equations indicated by the lines cannot be solved since there is no intersection point between them. This indicates that there isn't an x or y value that simultaneously solves both equations.
Thus, option A. zero is correct.
Learn more about simultaneous equations here:
https://brainly.com/question/16763389
#SPJ7
at a grocery store, an uncooked beef roast is on sale for $5.99/lb. At the same grocery store, prepared roast beef is available at the deli for $2.99/100g. How much more expensive is the deli roast compared to the uncooked roast?
Answer:
$7.58/lb
Step-by-step explanation:
raw roast: $5.99 per lb
deli roast: $2.99 for 100g
We know the price per lb of the raw roast.
Let's find the price per lb of the deli roast.
1 lb = 454 grams
454 grams / 100 grams = 4.54
1 lb is 4.54 times 100 g
If we multiply the price of 100g of deli roast by 4.54, we get teh price per lb.
$2.99/lb * 4.54 = $13.57/lb
raw roast: $5.99/lb
deli roast: $13.57/lb
difference in price of 1 lb: $13.57 - $5.99 = $7.58
Answer: $7.58/lb
Answer:
.01669 $/g or $7.57 $/lb
Step-by-step explanation:
$2.99/100g = .0299 $/g
1 lb = 453.59237 g.
$5.99/453.59237 g= .0132$/g
What is the 7th term in the sequence below?
5, 25, 125, 625, …
A. 78,125
B. 15,625
C. 3,125
D. 825
Answer:
its 3125
Step-by-step explanation:
you multiply it by 5 every time
Answer:
C
Step-by-step explanation:
Evaluate the function. Please help! ASAPPP!!!!
Answer:
B
Step-by-step explanation:
p(-3)=1/4(-3)²+1=9/4+1=13/4=3.25
p(5)=1/4(5)+2.5
=5/4+2.5
=1.25+2.5
=3.75
Simple percent question!!!!
My question says that line segment DC is 50% longer than line segment BD, and BD is 40 ft. Does that mean DC is 60 ft or 80? Please explain, brainliest to whoever explains it properly and quickly
Answer:
60ft
Step-by-step explanation:
DC is 50% longer than BD (given)
BD is 40ft (given)
DC is 50% longer than BD this means that DC= BD+50% of BD
40ft +50/100 * 40
=40ft +20ft
=60ft
Another way to solve this could be DC is 150%of BD as BD =40ft=100% of it's length.
So, 150/100 *40
=60ft
Hope this helps.
Please mark me as brainliest.
solve: 28 − ≥ 7( − 4)
(show your work)
real answers only pls :(
HELP PLSSSSSSS algebra 1
Answer:
answer is x=-1/10 is the answer
Check the box labeled Show Altitude of Triangle ABC. The altitude divides into and through the point you determined in question 2. Measure and record the side lengths of and . Then measure and record the side lengths of and .
Answer:
Step-by-step explanation:
Step-by-step explanation:
.hhx cvs Gunther b but kcm
The area of a smaller circle is one twenty-fifth of the area of a larger circle. What is the ratio of the radius of the larger circle to the radius of the smaller circle?
E. 1 : 25
F. 5 : 1
G. 1 : 5
H. None of the above
Answer:
[tex]f) \: r2 \div r1 \: = 5 \div 1[/tex]
Step-by-step explanation:
[tex] \frac{a1}{a2} = \frac{1}{25} = \frac{\pi \times (r1)^{2} }{\pi \times (r2)^{2}} [/tex]
[tex] {(\frac{r2}{r1})}^{2} = 25[/tex]
[tex] \frac{r2}{r1} = 5[/tex]
What is the volume of the cylinder to the nearest whole number?
Answer:
[tex]{ \bf{volume = \pi {r}^{2}h }} \\ = 3.14 \times {7.5}^{2} \times 20 \\ { \tt{volume = 3534.3 \: {cm}^{2} }}[/tex]
El solar de María tiene forma rectangular los lados miden 36 cm y 40 cm cuántos metros cuadrados tiene el terreno? cuál es el perímetro del terreno?
Answer:
Area of rectangular land = 1,440 cm².
Perimeter of rectangular land = 152 cm
Step-by-step explanation:
Given:
Length of rectangular land = 36 cm
Width of rectangular land = 40 cm
Find:
Area of rectangular land
Perimeter of rectangular land
Computation:
Area of rectangle = length x width
Area of rectangular land = 36 x 40
Area of rectangular land = 1,440 cm²
Perimeter of rectangle = 2[l + b]
Perimeter of rectangular land = 2[36 + 40]
Perimeter of rectangular land = 2[76]
Perimeter of rectangular land = 152 cm
What is the measure of DE?
A) 51
B) 68
C) 85
D) 56
Answer:
Option (B) is correct
Step-by-step explanation:
Write functions for each of the following transformations using function notation. Choose a different letter to represent each function. For example, you can use R to represent rotations. Assume that a positive rotation occurs in the counterclockwise direction.
• translation of a units to the right and b units up reflection across the y-axis
• reflection across the x-axis rotation of 90 degrees counterclockwise about the origin, point o
• rotation of 180 degrees counterclockwise about the origin, point o
• rotation of 270 degrees counterclockwise about the origin, point o
Answer:
1) [tex]T_{(a, \, b)}[/tex] = f(x - a) + b
Coordinate change
(x, y) → (x + a, y + b)
2) RFy(x, y) = f(-x)
Coordinate change
(x, y) → (-x, y)
3) RFx(x, y) = -f(x)
Coordinate change
(x, y) → (-y, x)
4) RCCW90(x, y) = f⁻¹(-x)
Coordinate change
(x, y) → (-y, x)
5) RCCW180(x, y) = -(f(-x))
Coordinate change
(x, y) → (-x, -y)
6) A 270 degrees counterclockwise rotation gives;
RCCW270(x, y) = -(f⁻¹(x))
Coordinate change
(x, y) → (y, -x)
Step-by-step explanation:
1) Horizontal translation a units right = f(x - a)
The vertical translation b units up = f(x) + b
Therefore, we get; [tex]T_{(a, \, b)}[/tex] = f(x - a) + b
The coordinate change
(x, y) → (x + a, y + b)
2) A reflection across the y-axis = RFy(x, y) = f(-x)
The coordinate change
(x, y) → (-x, y)
3) A reflection across the x-axis gives RFx(x, y) → (x, -y)
Therefore, in function notation, we get;
RFx(x, y) = -f(x)
4) A 90 degrees rotation counterclockwise, we get RotCCW90(x, y) → (-y, x)
In function notation RotCCW90(x, y) = INVf(-x) = f⁻¹(-x)
5) A 180 degrees counterclockwise rotation about the origin gives;
(x, y) → (-x, -y)
Therefore, we get;
In function notation RotCCW180(x, y) = -(f(-x))
6) A 270 degrees counterclockwise rotation gives RotCCW270(x, y) → (y, -x)
In function notation RotCCW270(x, y) = -(f⁻¹(x))
PLEASE HELP ME SOMEONE I NEEDDDDDDD HELP PLEASE QUICK!!!!!!!!
Answer:
2/60 = 1/30 = 3.3%
Step-by-step explanation:
Doug split a magic cards so that he and his friends each got 6 cards.if there were 24 cards in the pack how many friends did Doug share the cards with
Answer:
Doug share the cards with his three other friends.
Step-by-step explanation:
If there were 24 cards and each person was suppose to get 6
24 ÷ 6 = 4
The cards were shared among 4 people including Doug himself.
Have a nice day :)
what is the volume of the square pyramid? answer i need this done for my geometry credit thank you
Answer: 171.5
Step-by-step explanation:
1/2 x 7 x 7 x7 = 171.5 cm3
Answer:
[tex]volume=1/3(area ~of ~base) \times( height)[/tex]
[tex]v=1/3(7\times7)\times7[/tex]
[tex]v=343/3[/tex]
[tex]v=114[/tex]
-----------------------
hope it helps...
have a great day!!