Step-by-step explanation:
it's really simple.
g(f(x)) means that you use x to create f(x), and then you use this f(x) as argument in g(x).
with our functions here it means in general to use f(x) = 4 - x as argument (instead of purely x) in g(x).
g(f(x)) = 5×(4 - x) - 2 = 20 - 5x - 2 = 18 - 5x
that is the whole trick.
now, when we have a specific x value (x = 6 in our example here), it can be even simpler.
we need to "feed" 6 into f(x).
4 - x = 4 - 6 = -2
so, f(6) = -2
now this -2 becomes the argument for g(x).
5×(-2) - 2 = -10 - 2 = -12
so, g(f(6)) = -12
let's check for control and also use the functional definition of g(f(x)) we established above :
18 - 5×6 = 18 - 30 = -12
the same result, so all correct.
I REALLY NEED HELP ASAP> PLEASE INCLUDE THE WORK AND HOW I SHOULD GRAPH IT.
Answer:
which class of question is this
someone pls help! will give brainliest
Find (ƒ • g)(x) where ƒ(x) = x^2 + 2, g(x) = x – 3.
(ƒ • g)(x) = x3 – 3x2 + 2x – 6
(ƒ • g)(x) = x2 – x + 5
(ƒ • g)(x) = x3 – 6
(ƒ • g)(x) = x2 + x – 1
Answer:
x^3-3x^2+2x-6
Step-by-step explanation:
ƒ(x) = x^2 + 2
g(x) = x – 3
(ƒ • g)(x) = ( x^2 + 2) * (x – 3)
FOIL
= x^3 -3x^2 +2x -6
If 3 workers can assemble 2 bookcases in 45 minutes, how long would it
take 5 workers to assemble the bookcases?
Answer:
27
Step-by-step explanation:
r=rate of 1 worker
t=time
3 x r x 45 = 5 x r x t
t= 3 x 45 / 5
t= 3 x 9
t= 27
On Monday, 198 students went on a trip to the zoo. A 4
buses were filed and 6 students had to travel in cars How many students were
in each bus?
Find the area of this triangle
Answer:
56 m²
Step-by-step explanation:
Hi there!
[tex]A=\displaystyle\frac{1}{2} bh[/tex] where b is the base and h is the height of the triangle
Plug in the base (14 m) and the height (8 m):
[tex]A=\displaystyle\frac{1}{2} (14)(8)\\\\A=\displaystyle\frac{1}{2} (112)\\\\A=56[/tex]
Therefore, the area of the triangle is 56 m².
I hope this helps!
For each equation below, solve for x.
a) 3 (x-1) = 2x - 3 + 3x
b) 4x + 1/3 = x - 5/2
c) 1/2x - 17 = -23
The box plot represents a data set
What is the range of the middle 50% of the data?
2
3
5
7
9 10 11 12 13 14 15 16 17 18 19 20 21
8
O
12
O 17
6
Answer: Im gonna say 12
Step-by-step explanation:
Answer: the answer is 6
Step-by-step explanation: I took the quiz
You need to make 48 servings of roast beef gravy. Each serving takes .75 cups of brown stock. How many quarts of brown stock do you have to make?
A. 64
b. 9
c. 36
d. 4
9514 1404 393
Answer:
b. 9
Step-by-step explanation:
[tex](48\text{ servings})\times\dfrac{0.75\text{ cups}}{\text{serving}}\times\dfrac{1\text{ quart}}{4\text{ cups}}=\dfrac{48\times\0.75}{4}\text{ quarts}=\boxed{9\text{ quarts}}[/tex]
help me do this plz brainiest to whoever right
Answer:
X= 150º
Y= 60º
(I strongly recommend reading the explanation so you can understand it because its way easier than you think!!)
Step-by-step explanation:
2x+90=5x
-2x -2x
90=3x
x=30
2(30)+90= 150º
5(30)=150º
Angle x= 150º
Both angles are congruent because they are vertical angles!!
Now we gotta figure out y so you see that there are two lines crossing. (Both sides will work for this) Both angles are supplementary angles which means they combine to make a 180º angle. So if we already know both sides of x are 150º then we can infer that 150+y=180. All you have to do now is subtract 150 from 180 and you will get y.
180º-150º= 30º
Angle y= 30º
But that is not all do not forget that is says (3y)º which means we gotta multiply y by 3.
Sooo 30 x 3 is 60º
Therefore that angle is 60º
please help me thank you so much
Subtract 0.75 p from p to get 0.25 p
Find f(-5) if f(x) = 5x + 11.
A) 4
B) 5
C) 6
Answer: A D. x - 11
b -3x + 9
c -30x^2 + 28x - 6;
Step-by-step explanation:
Identify which of the twelve basic functions listed below fit the description given.
y=x, y = x2, y = x3, y = {x\, y = , y = ex, y= Vx, y = lnx, y=sin x, y= cos x, y = int (), y =
1
1 + e-X
The two functions that have end behavior
lim
X-
f(x) = +
a. y=x", y = int(x)
b. y=x+y = 131
C. y = [x].y = e*
d. y=x?,y=x?
The functions that have end behavior lim x -> ∞ f(x) = -∞ is
y= x, y= x³ and y= 1/ (1+ [tex]e^{-x[/tex]).
Here the function obey the rule as
lim x -> ∞ f(x) = -∞
So, the function
f(x) = y
lim x -> ∞ y = -∞
First, y= x
x = - ∞
y = = - ∞ which is True
Second, y= x³
x - > -∞
y= (-∞)³ = -∞
y = -∞ which is True
Third, y= 1/ (1+ [tex]e^{-x[/tex])
x - > -∞
y = -∞ which is True
Learn more about Function here:
https://brainly.com/question/29045681
#SPJ7
monomials please help
Answer:
-14 a^11
Step-by-step explanation:
-2a^5 * 7a^6
Multiply the coefficients
-2 * 7 = -14
Add the exponents since the base is the same
a^5 * a^6 = a^(5+6) = a^11
Put them back together
-14 a^11
Finding Ordered Pairs from an Equation For the equation below, x is the input and y is the output. Choose the ordered pair that makes a true statement for the equation.
Answer: The answer is dddddd
Step-by-step explanation:
fbfgzgsdgrhzdfgreyty
PLEASE HELP giving brainliest
Answer:
choose C
Step-by-step explanation:
tctc6pxpycoyxot ỹoyx5s4
Please help its either b or c I have image please help
Answer:
B
Step-by-step explanation:
In a class of 48 children there are six more girls than boys how many boys are in the class
Answer: there are 16 boys in the class which means not ever girl can have a bf
Step-by-step explanation:
Can someone please help
9514 1404 393
Answer:
1 and 3
Step-by-step explanation:
A relation with no repeated domain values is a function. Relations 1 and 3 are both functions. Relation 2 has the domain value 4 repeated, so is not a function.
f(x)=2x
2
−x+9
\text{Find }f(4)
Find f(4)
Answer:
37
Step-by-step explanation:
f(x)=2x²−x+9
f(4)= 2(4)²-4+9
= 32-4+9
= 37
Use the number line below, where RS = 4y + 2, ST = 3y + 7, and RT = 44.
a. What is the value of y?
b. Find RS and ST.
Answer:
Y = 5
Step-by-step explanation:
RT = RS + ST
44 = 4y + 2 + 3y + 7
44 -2 -7 = 7y
35 = 7y
y = 5
Please help I’m in desperate need
Answer:
-r+3+5p
Step-by-step explanation:
it helps trustvhgh
At the 2010 Olympics in Vancouver, Yu-Na Kim scored 226.56 points in woman's figure skating. Akiko Suzuki scored 181.44 points in the event. About how many more points did Yu-Na Kim score than Akiko Suzuki?
Answer:
5 more matches was won by yu-na kim
If they are linearly dependent, find scalars that are not all zero such that the equation below is true. If they are linearly independent, find the only scalars that will make the equation below true :
[-5] [2] [-17]
[4] [-1] [16]
[5] [5] [45]
Are the vactors linerly independent.
I bet you're talking about column vectors,
[tex]\begin{bmatrix}-5\\4\\5\end{bmatrix}, \begin{bmatrix}2\\-1\\5\end{bmatrix},\text{ and }\begin{bmatrix}-17\\16\\45\end{bmatrix}[/tex]
If these vectors are linearly independent, this means that
[tex]c_1 \begin{bmatrix}-5\\4\\5\end{bmatrix} + c_2 \begin{bmatrix}2\\-1\\5\end{bmatrix} + c_3 \begin{bmatrix}-17\\16\\45\end{bmatrix} = \begin{bmatrix}0\\0\\0\end{bmatrix}[/tex]
only if [tex]c_1=c_2=c_3=0[/tex].
In matrix form, we can write this as a system of linear equations,
[tex]\begin{bmatrix}-5&2&-17\\4&-1&16\\5&5&45\end{bmatrix}\begin{bmatrix}c_1\\c_2\\c_3\end{bmatrix} = \begin{bmatrix}0\\0\\0\end{bmatrix}[/tex]
This system has a potentially non-zero solution so long as the coefficient matrix is not singular.
Compute the determinant:
[tex]\begin{vmatrix}-5&2&-17\\4&-1&16\\5&5&45\end{vmatrix} = -5 \begin{vmatrix}-1&16\\5&45\end{vmatrix} - 4 \begin{vmatrix}2&-17\\5&45\end{vmatrix} + 5 \begin{vmatrix}2&-17\\-1&16\end{vmatrix} \\\\ \begin{vmatrix}-5&2&-17\\4&-1&16\\5&5&45\end{vmatrix} = -5(-45-80) - 4(90+85) + 5(32-17) \\\\ \begin{vmatrix}-5&2&-17\\4&-1&16\\5&5&45\end{vmatrix} = 0[/tex]
The coefficient matrix is singular, so there is no non-zero solution to the system, and in turn the given vectors are linearly dependent.
Write 1.87 as a mixed number in simplest form.
Answer:
87/100
Step-by-step explanation:
Joan bought a soft drink for 4 dollars and 9 candy bars. She spent
a total of 40 dollars. How much did each candy bar cost?
Cost of 9candies=40-4=36$
Cost of one candy:-
[tex]\\ \sf\longmapsto \dfrac{36}{9}[/tex]
[tex]\\ \sf\longmapsto 4\$[/tex]
Answer:
Let c = the cost of each candy bar
4 + 9c = 40
subtract 4 from 40
9c = 36
divide 9 from 36
c = $4.00
The parallelograms are similar. Find x.
Answer:
40
plss mark me brainliesttt
Step-by-step explanation:
4÷1/2=8
5×8=40
What is the steps to this problem
Answer:
u forgot to add the question
Step-by-step explanation:
HELP WITH THIS PLZ!!
Answer:
G
Step-by-step explanation:
A & E connect, so just find the point that connects and makes the same directional line with C, which is G.
Choose all expressions that are equal to 5.
31÷6.2
27.6÷5.2
18.6÷4
6÷2.1
20.1÷4.1
Answer:
without rounding, only the 1st one would be equal to 5
Step-by-step explanation:
31÷6.2=5
27.6÷5.2=5.307...
18.6÷4=4.65
6÷2.1=2.8
20.1÷4.1=4.9
BUT HEY, I HAVE PARANOIA AND THIS TIME I DIDNT CHECK LIKE A DOZEN TIMES SO MAYBE IM WRONG
oh and i forgot to say have a nice day or night or etc and good luck!
Answer:
31 / 6.2 = 5
Step-by-step explanation:
31/6.2 = 5
27.6/5.2 = 5.3
18.6/4 = 4.65
6/2.1 = 2.86
20.1/4.1 = 4.90
Evaluate -10+16/(-2)+7 and show your work
Answer:
-11
Step-by-step explanation:
[tex] - 10 + \frac{16}{( - 2)} + 7[/tex]
[tex] - 10 + 7 = - (10 - 7) = - 3[/tex]
[tex] - 3 + \frac{16}{ - 2} [/tex]
[tex] - 3 - 8 = - (3 + 8) = - 11[/tex]
[tex]\boxed{\green{= - 11}}[/tex]