Given
f (x) = x3 + 1
and
g(x) = x – 1
find the composition
f(g(x))
Answer:
(x-1)³+1
is correct option
Slope of (1,-15) (10, -13)
Answer:
i really dont know
Step-by-step explanation:
Let R(x)=3x3+2x2+x and S(x)=4x2+1. Find R(x)−S(x).
Answer:
hope it will help u......................
The function R(x) - S(x) is [tex]3x^{3} -2x^{2} +x-1[/tex].
What is function?An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable) is called function.
According to the given question.
We have two functions
[tex]R(x) = 3x^{3} +2x^{2} +x[/tex]
And, [tex]S(x) = 4x^{2} + 1[/tex]
Therefore, the function R(x) - S(x) is given by
[tex]R(x) - S(x) = 3x^{3} +2x^{2} +x-(4x^{2} +1)[/tex]
[tex]\implies R(x) - S(x) = 3x^{3} +2x^{2} +x - 4x^{2} -1[/tex]
[tex]\implies R(x) - S(x) = 3x^{3} -2x^{2} +x-1[/tex]
Hence, function R(x) - S(x) is [tex]3x^{3} -2x^{2} +x-1[/tex].
Find out more information about function here:
https://brainly.com/question/12431044
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true or false : A triangle can have interior angles of 50 degrees, 70 degrees, and 68 degrees
Answer:
it is false as the sum of the degrees of the triangle should be 180 but here it is 188 so it is false
Determine the zeros from the graph:
can someone please help
Answer:
-3, -1, 2 i belive sorry if I'm wrong
For the image below, state the line of reflection:
4
***
O
y=-x
o
yx
o
X-axis
y-axis
State the line of reflection of this pre-image and image
............................
Answer:
8.63
Step-by-step explanation:
It ends in a one and it has to end in the 100ths place sooo.... yeah
Hope this helps!
simplify 3^3 - 2x(5x-5) + √25
A sculptor creates an arch in the shape of a parabola. When sketched onto a coordinate grid, the function f(x) = –2(x)(x – 8) represents the height of the arch, in inches, as a function of the distance from the left side of the arch, x. What is the height of the arch, measured 3 inches from the left side of the arch?
Answer:
30 inches
Step-by-step explanation:
f(x) = –2(x)(x – 8)
x = 3
f(3) = -2(3)(3 - 8)
f(3) = -2(3)(-5)
f(3) = 30
30 inches
Answer:
30 inches
Step-by-step explanation:
Hello I need the answer fast plssssss
Answer:
32
Step-by-step explanation:
8x6=48
2x4=8
48-16=32
Answer:
[tex]area = 2(area \: of \: trapezium) - 2(area \: of \: triangle) \\ = 2( \frac{1}{2} h(a + b)) - 2( \frac{1}{2} bh) \\ = 4(4 + 6) - (4 \times 2) \\ = 40 - 8 \\ = 32 \: {ft}^{2} [/tex]
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Polygon ABCD is a parallelogram, and m-ABC = 127º. The length of BC is 10 units, and the length of AB is 5 units.
1271
D
units, and m_BCD is
The perimeter of the parallelogram is
Answer:
Perimeter = 30 units
m<BCD = 53°
Step-by-step explanation:
Recall: in any parallelogram, consecutive angles are supplementary. Also, the pairs of parallel sides are equal in length.
We would use this knowledge to solve the problem given.
m<ABC = 127° (given)
BC = 10 units
AB = 5 units
✔️Perimeter of the parallelogram = AB + BC + CD + AD
AB = CD = 5 units (pair of parallel sides)
BC = AD = 10 units (pair of parallel sides)
Perimeter = 5 + 10 + 5 + 10
Perimeter = 30 units
✔️m<BCD = 180° - m<ABC (consecutive angles are supplementary)
m<BCD = 180° - 127° (Substitution)
m<BCD = 53°
what equation can be used to represent "six added to twice the sum of a number and four is equal to one-half of the difference of three and the number"?
Answer:
6+2(n+4) = (3-n)÷2
Step-by-step explanation:
6 + 2n + 8 = (3-n)/2
14 + 2n = (3-n)/2
multiply through by 2 to eliminate the denominator
28 + 4n = 3 - n
25 + 4n = -n
25 = -5n
n = -5
If the original function f(x) = 2x2 - 1 is shifted to the left 3 units to make the function g(x), which expression would represent g(x)?
(1)2(x-3)^2-1 (3)2x^2+2
(2)2(x+3)^2-1 (4)2x^2-4
Answer: 2(x+3)^2 - 1
To shift the f(x) function 3 units to the left, the xy axis must move 3 units to the right. This effectively means each x input is 3 units larger than before. That's why we replace every x with x+3.
Which expression represents the situation below?
14 times the sum of 8 and 7, divided by 6.
Answer:
option 1
Step-by-step explanation:
Sum of 8 and 7 = 8 + 7
14 times sum of 8 and 7 = 14 x (8 + 7)
Divided by 6 = 14 × (8 + 7) ÷ 6
Answer:
1.) 14 × ( 8 + 7 ) ÷ 6
Step-by-step explanation:
Sum of 8 and 7 = 8 + 7
14 times of sum of 8 and 7 = 14 × ( 8 + 7 )
And it Divided by 6 = 14 × ( 8 + 7 ) ÷ 6
15. What is the equation of the line that contains the point (3,-1) and is perpendicular to the line whose
equation is 6x + 2 y = 4?
Answer:
2y=-2x
Step-by-step explanation:
2y=4-6x
2y=-2x
y=-1
2. A stack of 500 sheets of paper is 2.5 inches high. Each sheet of paper is 8.5 inches wide and 11 inches long. A person places more sheets onto the stack, making the total volume of the stack 561 cubic inches. Approximately how many more sheets of paper were added to the original stack of paper?
1) 200
2) 700
3) 1,200
4) 1,700
HELP ME PLZ!!!!! Plz!!!
Answer:
hi the right answer is option C.112
here's why:
[tex] \frac{14}{50} \times 400 = 112[/tex]
On a spelling quiz lily got 16 out of 20 questions correct which radio shows represents the number of that response to the total number of questions
may anyone help me please and thank you so much !
Answer:
8
Step-by-step explanation:
i need help and it would be great if someone could answer most of them please
Answer:
[tex]h=6\\k=2.5\\n=3\sqrt{10}\\m=\sqrt{21}\\p=\sqrt{17}[/tex]
Step-by-step explanation:
All of the triangles in this problem are right triangles. This means that all of them contain a right angle, this is indicated by the box around one of the angles. The Pythagorean theorem is a property of the sides of a right triangle, this property, in the form of an equation, is as follows,
[tex]a^2+b^2=c^2[/tex]
Where (a) and (b) are the legs, that is, the sides that are adjacent to the right angle of a right triangle. The parameter (c) represents the hypotenuse, the side opposite the right angle of a right triangle. For each triangle, substitute the given side lengths, simplify, and solve for the unknown side.
[tex](h)^2+(8)^2=(10)^2\\h^2+64 = 100\\h^2=36\\h=6[/tex]
[tex](k)^2+(6)^2=(6.5)^2\\k^2+36=42.25\\k^2=6.25\\k=2.5[/tex]
[tex](n)^2+(\sqrt{10})^2=(10)^2\\n^2+10=100\\n^2=90\\n=\sqrt{90}\\n=3\sqrt{10}[/tex]
[tex](m)^2+(2)^2=(5)^2\\m^2+4=25\\m^2=21\\m=\sqrt{21}[/tex]
[tex](p)^2+(\sqrt{68})^2=(\sqrt{85})^2\\p^2+68=85\\p^2=17\\p=\sqrt{17}[/tex]
Can somebody pls help me!!?
Answer:
$ 7.29
Step-by-step explanation:
bill = $40.50
tip = 18%
tip amount = tip% of bill
=18/100 * $40.50
=729/100
=$ 7.29
Answer:
7.29 DOLLARS IS THE ANSWER
ANSWERS:
positive linear
negative linear
nonlinear
no relationship
Answer:
Step-by-step explanation:
No relationship i belive
The question is in the screenshot. ( I really need help in this one)
Answer:
V=A*L
V=72*6
V=432 in cube
Find the average of the numbers 8, 13,15
Answer:
average = 12
Step-by-step explanation:
average = sum of numbers/no. of numbers
=8 + 13 + 15 /3
=36/3
=12
EASYY ASAPPP!!!!!!
Include 3 examples of each vertical, horizontal, and oblique lines of symmetry that you can find in your house. List them below
Answer:
fridge. door. cabinet. Each line goes from bottom right to top left
Step-by-step explanation:
8 steps ----> 20 ft
6 steps -----> 15 ft
4a. Is this a proportional relationship?
yes
no
14b. If no, explain. If yes, find constant of proportionality. *
Answer:
It is a proportional relationship. 1 step/2.5 Feet.
Step-by-step explanation:
First of all, you need to find out what a single step equals to feet.
If 6 steps is 15 feet, and 8 is 20, then 2.5 feet is the transition of proportional relationship. (15, 17.5, 20)
This means that the proportional relation ship is that every 1 step is equal to 2.5 feet.
I will give brianliest!! 20 points. Look at the picture for the question…
the answer is B. A translation 1 unit to the right followed by 180-degree counterclockwise rotation about the origin.
pls help me solve pls show how you got the answer
Polynomial 1 : x²-x²+4x -2+1 = 4x -1
Polynomial 2 : 3x-x-2x²-2+1 = -2x²+2x-1
Polynomial 3 : 4 -2x+x-x²+x²-x² = -x²-x+4
According to the question,
Polynomial 1+Polynomial2+Polynomial3 + Polynomial4 = 6x
=> 4x -1+ (-2x²+2x-1) +(-x²-x+4) + Polynomial4= 6x
=> -3x²-x+2+Polynomial4= 0
=> 3x²+x -2= Polynomial4OPTION B
Answer:
B
Step-by-step explanation:
Objective: Advanced Algebra Thinking with Polynomials.
Convert the diagram into a polynomial using the Legend.
Then add the fourth polynomial to get 6x.
The first polynomial is
[tex]4x - 1[/tex]
The next is
[tex] - 2x {}^{2} + 2x - 1[/tex]
The third is
[tex] - {x}^{2} - x + 4[/tex]
Add all the expressions.
[tex] - 3 {x}^{2} + 5x + 2[/tex]
Set this equations equal 6x, let y represent the 4th polynomial.
[tex] - 3 {x}^{2} + 5x + 2 + y = 6x[/tex]
[tex] - 3 {x}^{2} + 2 + y = x[/tex]
[tex] - 3 {x}^{2} +y = x - 2[/tex]
[tex]y = 3 {x}^{2} + x - 2[/tex]
please help me i don’t know how to solve this
Answer:
welp good luck ha
Step-by-step explanation:
If 3/5 of class of 30 students went swimming, how many went swimming?
Answer:
18 students.
Step-by-step explanation:
3/5ths of 30 is 18.