Transformation involves changing the form of a function.
The equation that represents g(x) is (c) [tex]g(x) =-\sqrt[3]{x+1}[/tex]
Function f(x) is given as:
[tex]f(x) =\sqrt[3]{x}[/tex]
First f(x) is reflected across the x-axis.The rule of this transformation (i.e. reflection) is:
[tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex]f'(x) = -f(x)[/tex]
This gives
[tex]f'(x) =-\sqrt[3]{x}[/tex]
Next, f'(x) is translated 1 unit leftThe rule of this transformation (i.e. translation) is:
[tex](x,y) \to (x+1,y)[/tex]
So, we have:
[tex]g(x) = f'(x+1)[/tex]
This gives
[tex]g(x) =-\sqrt[3]{x+1}[/tex]
Hence, the equation that represents g(x) is (c)
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Answer:
Its D
Step-by-step explanation:
just did the quiz
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List 10 fractions between: -1 and -2.
Answer:
[tex]{ \tt{ - \frac{10}{10}}} , \: { \tt{ - \frac{11}{10} }}, \: { \tt{ - \frac{12}{10} }}, \: { \tt{ - \frac{13}{10} }}......{ \tt{ - \frac{20}{10} }}[/tex]
What is the scale factor from triangle ABC to triangle DEF? SHOW YOUR WORK
What are the next 3 terms in the following geometric sequence:
512, 256, 128, ___, ___, ___
A. 92, 66, 28
B. 1024, 2048, 4096
C. 64, 32, 16
D. 32, 8, 2
Answer:
C. 64, 32, 16
Step-by-step explanation:
This geometric sequence is made by dividing the numbers by 2:
512 ÷ 2 = 256
256 ÷ 2 = 128
Hence, the next term will be
128 ÷ 2 = 64
64 ÷ 2 = 32
32 ÷ 2 = 16
Therefore, the correct answer is C.
The next 3 terms in the given geometric sequence are 64, 32, and 16, respectively. The correct option is C.
What is geometrical series?A geometric series is the collection of an unlimited number of terms with a fixed ratio between them.
The given series is a geometric sequence, therefore, the common ratio between any two terms will be the same. Therefore, we can write, the ratio as,
Common ratio, r = a₂ / a₁ = 256 / 512 = 1/2
Now, the nth term of the given sequence can be defined as,
aₙ = a₁ × r⁽ⁿ⁻¹⁾
= 512 × (1/2)⁽ⁿ⁻¹⁾
Therefore, the next term of the given geometric progression will be,
a₄ = 512 × (1/2)³ = 64
a₅ = 512 × (1/2)⁴ = 32
a⁶ = 512 × (1/2)⁵ = 16
Hence, the next 3 terms in the given geometric sequence are 64, 32, and 16, respectively.
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please help me solve this
9514 1404 393
Answer:
x = -9
Step-by-step explanation:
The value 13-8x apparently is the measure of the arc in degrees. That is the same as the measure of the central angle, shown as 85°. Then we have ...
85 = 13 -8x
72 = -8x . . . . . . subtract 13
x = -9 . . . . . . . . divide by -8
The value of x is -9.
which statement is true about the figure?
Answer:
DEC and AEB are the same angles
Which linear inequality is represented by the graph? I’m timed hurry plz
Answer:
a
Step-by-step explanation:
first one i believe
Is "2.323223222…" a rational number.
Answer:
No,
Step-by-step explanation:
No, it's irrational.
Because, it is a non-terminating non recurring type number.
Find the length of the third side if necessary write in simplest radical form
Answer:
7
Step-by-step explanation:
we use Pythagorean theorem for solving x
a^2 + b^2 = c^2
c^2 - a^2 = b^2
(√58)^2 - (3)^2 = b^2
58 - 9 = b^2
49 = b^2
b = 7
Your friend claims that the only solution to the equation sin(x)=1 is x=90 degrees. Is your friend correct? If there are more solutions, explain how to determine additional solutions.
Answer:
see below
Step-by-step explanation:
sin(x)=1
Take the inverse sin of each side
sin ^ -1(sin(x))=sin ^-1(1)
x =90 + 360n where n is an integer
We can go around the unit circle and find more solutions
When x = 450, sin 450 = 1
When x = -270, sin (-270) = 1
rewrite these sets in listing method
a) A=(letters of the word "COLLECTION")
PLEASE DO IT IN LISTING METHOD
Explanation:
We simply list each letter one time. Any duplicates are tossed. If you sorted the letters alphabetically, then you'd get {C, E, I, L, N, O, T}. However, the order doesn't matter with sets.
Note: This listing method is another name for "roster method". Think of how sports teams list their roster, which is basically just a list of the players' names.
please help and explain answer
Hiiioo!! Can you please help me out with this!!! ❤️❤️:) (9)
9514 1404 393
Answer:
segment SRGivensegment PRSSS postulateStep-by-step explanation:
1. The only "Given" statement involving QR is ...
QR ≅ SR
2. You will notice that PQ ≅ PS is a Given statement.
3. The reflexive property says a segment is congruent to itself:
PR ≅ PR
4. All three sides of the triangles have been shown to be congruent. The appropriate choice for the postulate that shows congruence of the triangles is the SSS Postulate.
URGENT !!!
What is the pH of a solution with a concentration of 4.2 × 10−5 M H3O+? (4 points)
2.31
4.38
5.62
6.87
Answer:
[tex]{ \tt{pH = - log[H {}^{ + } ]}} \\ pH = - log(4.2 \times {10}^{ - 5} ) \\ pH = 4.38[/tex]
Step-by-step explanation:
H
pH of a solution is 4.38
What is pH of a solution ?"The pH of a solution refers to the strength of solution whether it is acidic or basic in nature It is considered by the concentration of hydrogen ion in the solution."
We have,
Concentration of [tex]4.2[/tex]×[tex]10^{-5}[/tex][tex]MH_{3}O[/tex]
pH = [tex]-log(H^{+})[/tex]
⇒pH = [tex]-log(4.2[/tex]×[tex]10^{-5})[/tex]
⇒pH = 4.38
∴ pH of a solution is 4.38
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If x^151+ 100 is divided by x+1 then the remainder is
Answer: 11 because it all works out.
Problem
Using the following image, find the value for I.
(x + 13)
(4x + 2)°
Answer:
x=33
Step-by-step explanation:
The angles of a straight line always add up to 180°.
Hence, (x+13)+(4x+2)=180 we can then remove the parenthesis and we get x+13+4x+2. Adding the two, we get 5x+15=180--->x=33
The two angles:
46° and 134°
completing the steps in the image, you should choose supplementary in the drop-down. Supplementary means the angles add up to 180 degrees In the next blank, put 4x+2. In the last blank, put 180 degrees.
What's the Area of this shape
Answer:
.
Step-by-step explanation:
Answer:
73.13 m^2
Step-by-step explanation:
1/2(bh)
Pi(d)
HELP PLEASE I HAVE 15 MINS LEFT
In AABC median AM is drawn from vertex A to BC, BM = 14x and MC = 6x + 56. Determine and
state the value of x.
Answer:
x = 7
Step-by-step explanation:
A median bisects the opposite side length, therefore
14x = 6x+56
8x = 56,
x = 7
Answer:
x = 7
Step-by-step explanation:
given:
AM is the median
BM = 14x
MC = 6x + 5x
since the median is drawn fron vertex A to BC it bisects the BC into two equal halves. So,
14x = 6x + 54
14x - 6x = 54
8x = 54
x = 54/8
x = 7
Evaluate angles d and e, giving reason for your answer
Answer:
Ok so we know that the angle on top is 110 since the angle above is the same.
we also know that all the angle of the triangle will add up to 180 so
D+(180-E)+110=180
we also know that d and the angle directly across are the same so
180-110=70
70divide by 2 equals 35
now we subtratch 35 from 180 to get 145
E=145
D=35
Your Welcome
BIFFY OUT!!!
Answer:
d=e=35 degree
Step-by-step explanation:
what is 3.8 X 4.1=?
Answer:
15.58
Step-by-step explanation:
Hope this helps.
john drew a polygon with two line segments
Answer:
hey. pls complete your question
i don’t understand how to find the number that goes into the blank box.
Answer:
8
Step-by-step explanation:
It asks for the y-intercept. The y-intercept is (0,?) the slope is -3 which means it's decreasing by 3. 5+3=8 so 8 is the y-intercept.
Hope this helps and pls tell if it's correct.
Solve question no. A and B
Answer:
Mean A=7
median B=3/4 .75
Answer:
Step-by-step explanation:
mean = sum of data / no of data
= 4+7+5+9+11+6 /6
=42 / 6
=7
mean = 7
to find median arrange the data from ascending to descending order
Data = 3,4,6,8,10,12
median = (N +1) / (N means no of data)
=(6 +1) / 2
=7/2
=3.5
= 3 rd term + 4 th term / 2
=6 + 8 / 2
=14 / 2
=7
median = 7
HARNESS SKILL Direction: Complete the proof by writing the reason for each statement. Choose your answer inside the box. Write your answer on the space provided.
GIVEN: △LMN with exterior angle ∠LNP
PROVE: m∠LNP>m∠MLN
Proof:
Let us prove that m∠LNP>m∠MLN by constructing the following:
1. midpoint Q on LN such that LQ ≅ NQ
2. MR through Q such that MQ ≅ QR
Vertical Angles are congruent
SAS Triangle Congruence Postulate
Substitution Property of Equality
Property of Inequality
By Construction
Angle Addition Postulate
Segment Addition Postulate Corresponding Parts of Congruent Triangles are Congruent (CPCTC)
Transitive Property of Equality
pahelp po plss, kailangan ko na kasi e salamat
Answer:
1) Given
2) vertical angles
3) SAS
4) CPCTC
5) Angle Addition
6) By construction
7) Transitive
Step-by-step explanation:
Help? Solve the system of equations.
y = 3x
y = x2 + 3x – 16
solutions: ( );( )
Answer:
(- 4, - 12 ) , (4, 12 )
Step-by-step explanation:
Given the 2 equations
y = 3x → (1)
y = x² + 3x - 16 → (2)
Substitute y = x² + 3x - 16 into (1)
x² + 3x - 16 = 3x ( subtract 3x from both sides )
x² - 16 = 0 ( add 16 to both sides )
x² = 16 ( take the square root of both sides )
x = ± [tex]\sqrt{16}[/tex] = ± 4
Substitute these values into (1) for corresponding values of y
x = - 4 : y = 3 × - 4 = - 12 ⇒ (- 4, - 12 )
x = 4 : y = 3 × 4 = 12 ⇒ (4, 12 )
Find the error in Bella’s reasoning and explain how she should have solved this problem .
Answer:
[tex]Area =( 4 \times 3) + ( \frac{1}{4} \pi \times 2^2) \\\\[/tex] [tex]\ cm^2[/tex]
Step-by-step explanation:
The figure is a combination of rectangle and a quarter of a circle.
Therefore,
Area = Area of rectangle x Area of quarter of the circle
[tex]= (Length \times breadth ) + ( \frac{1}{4} \pi r^2)\\\\=( 4 \times 3) + ( \frac{1}{4} \pi \times 2^2) \\\\[/tex]
Bella took the sum of area of rectangle and area of entire circle.
That is why Bella is wrong.
Find the edge length
x^3= 125000 m^3
x=50 m
Thomas can go to school and an ice cream parlor on the bus and his bicycle. In how many ways can he reach the school and parlor?
Show your calculation.
Answer:
yes it's ok and I'm sorry I didn't get it
In parallelogram HJKL if m∡HJK=110∘ find m∡JKL.
Answer:
∠ JKL = 70°
Step-by-step explanation:
Consecutive angles in a parallelogram are supplementary , then
∠ JKL + ∠ HJK = 180°
∠ JKL + 110° = 180° ( subtract 110° from both sides )
∠ JKL = 70°
Answer:
70
Step-by-step explanation:
did it before
On acm grid, point p has the coordinates (3,-1) and point q has the coordinates (-5,6)
Calculate the shortest distance between p and q
Answer:
√113
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√(-5 - 3)² + [6 - (-1)]²
√(-8)² + (7)²
√(64) + (49)
√113