The graph below has the same shape as the graph of G(x) = x, but it is
shifted three units to the left. Complete its equation. Enter exponents using
the caret (-); for example, enter x as x^4. Do not include "G(x) =" in your
answer.
G(x) =
Answers
Answer:
G(x) = x+3
Step-by-step explanation:
The equation of the graph is G (x) = (x - 3)⁴
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
A relation between a set of inputs having one output each is called a function.
An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The graph of function G (x) is shown in image.
Here, the graph is 3 units left to function F (x) = x⁴.
The equation of the graph is G (x) = (x - 3)⁴
Hence, the equation of the graph is G (x) = (x - 3)⁴
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Related Questions
You are hanging a picture on a wall that is 56 1/4 inches long. If the picture frame is 18 2/3 inches long, how much wall space is left? Write your answer as a mixed number.
Answers
Answer:
[tex]37 \frac{7}{12}[/tex] inches.
Step-by-step explanation:
Let's start by converting all of these mixed numbers to improper fractions to handle them a little better.
56 × 4 = 224 ⇒ 224 + 1 = [tex]\frac{225}{4}[/tex]
18 × 3 = 54 ⇒ 54 + 2 = [tex]\frac{56}{3}[/tex]
So, we have our improper fractions. Now, we need to convert each to twelfths so we can subtract.
225 × 3 = 675
56 × 4 = 224
[tex]\frac{675}{12} - \frac{224}{12}[/tex] = [tex]\frac{451}{12}[/tex]
[tex]\frac{451}{12} = 37 \frac{7}{12}[/tex]
So, the answer is [tex]37 \frac{7}{12}[/tex] inches.
Does the equation 3x-6y=0 represent a direct variation? *
Answers
Answer:
yes
Step-by-step explanation:
if you change it to standard form, it would be
y=1/2x
because it's in the format of y=ax then it is direct variation
are sheep?ои b. At Molebogeng station, a train arrives every 50 minutes the first in domenat z. 122cio Ise minutes. The first train stops at 7:00 a.m. How many trains have stopped at the station just nun before 11:00 p.m.?
Answers
Answer:
19 trains
Step-by-step explanation:
Firstly, we need to calculate the difference in the number of hours
From the question, we have 7 am to 11 pm
7 am to 7 pm is 12 hours
7 pm to 11 pm is 4 hours
So total is 16 hours
16 hours to minutes is multiplied by 60 minutes
We have this as;
16 * 60 = 960 minutes
so to get the number of trains, we simply have to divide the number of minutes by 50
Mathematically, we have this as 960/50
= 19.2
Since we cannot have a fractional train stop, it means the number of trains that has stopped is 19
Question 1
Points 3
Rese
A carpet is in the shape of a right triangle. The longer leg
measures 8 feet. The hypotenuse is 4 feet more than the
length of the shorter leg. How long is the shorter leg?
Reset
after
assess
Answers
Answer:
6 feetStep-by-step explanation:
Given right triangle with:
Legs s and 8, and hypotenuse s + 4Use Pythagorean and solve for s:
(s + 4)² = s² + 8²s² + 8s + 16 = s² + 648s = 64 - 168s = 48s = 6
How is the graph of
y=-3(5)*-
- 3 translated from the graph of y=
=30594?
A. reflected across the y-axis and 3 units down
B. reflected across the x-axis and 3 units down
C. reflected across the x-axis and 3 units left
D. reflected across the y-axis and 3 units right
Answers
Answer:
Purplemath
Introduces reflections in the x- and y-axes. ... To see how this works, take a look at the graph of h(x) = x2 + 2x – 3. ... The previous reflection was a reflection in the x-axis. ... f (x – b) shifts the function b units to the right.
A lift in a building starts with 7 passengers and stops at 10 floors.if each passenger is equally likely to get off at any floor and all passengers leave independently.what is the probability that atleast two passengers will get off at the same floor?
Answers
Answer:
Correct option is
C
10
5
10P
5
Total ways in which one passenger can stop =10
Total ways in which 5 passengers can stop =10∗10∗10∗10∗10
=10
5
We will select 5 floors from 10 floors and assign each individual to each floor to keep everyone isolated from each other
No. of ways in which no two persons stop at the same floor =10C
5
∗5!
=10P
5
⇒P(E)=10P
5
/10
5
Deon bought a desk on sale for $105.60. This price is 67% less than the original price. What was the original price?
Answers
Answer:
.33x = 105.60
$371
Step-by-step explanation:
Answer:
63.44
Step-by-step explanation:
its 63.44697 but you round so its 63.44
A piece of wire that is 200 ft long is to be cut into two pieces and each of the piece is to be bent into a square. How should the wire be cut if the area of one of the squares is 1000ft2 smaller than the other?
Answers
Answer:
Length of first cut = 140
Length of second cut = 60
Step-by-step explanation:
Given:
Length of wire = 200
Find:
Length of each cut
Computation:
Assume;
Side of first square = x/4
Side of second square = [200 - x] / 4 = 50 - x/4
So,
[x/4]² - [50 - x/4]²
x²/16 - x²/16 - 2500 + 25x = 1000
- 2500 + 25x = 1000
25x = 3500
x = 140
Side of first square = 140/4
Side of first square = 35
Side of second square = 50 - 140/4
Side of second square = 15
Length of first cut = 4 x 35
Length of first cut = 140
Length of second cut = 200 - 140
Length of second cut = 60
Answer:
60 ft and 140 ft
Step-by-step explanation:
Total length = 200 ft
Let the length of one piece is L and other is 200 - L.
[tex]1000 + \left (\frac{L}{4} \right )^2 = \left ( \frac{200 - L}{4} \right )^2\\\\16000 +L^2 = 40000 + L^2 - 400 L\\\\L= 60 ft[/tex]
So, the length of the other piece is 140 ft.
Solve using the substitution method
16x – 4y = 16
4x - 4 = y
Answers
Answer:
y = 4 x − 4
Step-by-step explanation:
The diagram shows that `/_A cong /_D` and `bar(AB) cong bar(DE)`. Which other statement do you need to prove triangle congruency through the SAS criterion?
A. /_C cong /_F
B. bar(BC) cong bar (EF)
C. /_B cong /_E
D. bar(AC) cong bar(DF)
Answers
Answer:
Option D
Step-by-step explanation:
In the given triangles ΔABC and ΔDEF,
∠A ≅ ∠D
AB ≅ DE
By SAS property of congruence of two triangles,
Two sides and the included angle of one triangles should be congruent to corresponding two sides and the included angle of the other triangle.
Therefore, AC ≅ FD will be the desired property to prove the given triangles congruent.
Option D will be the correct option.
Answer:
Step-by-step explanation:
The marked price of a bicycle is Rs 2000. If the shopkeeper allows some discount and a customer
bought it for Rs 1921 including 13% VAT, how much amount was given as the discount?
Answers
Answer:
Discount amount = $328.73
Step-by-step explanation:
Below is the calculation for the discount amount:
The marked price of bicycle = 2000
Purchase price = Rs 1921
VAT = 13%
First find the purchase price excluding VAT = 1921 - (13% of 1921) = 1671.27
Discount amount = 2000 - 1671.27
Discount amount = $328.73
An employee at a shoe store has observed that taller customers have larger shoe sizes than customers who are shorter. She knows that shoe sizes are based on foot length, so she hypothesizes: Compared with shorter people, taller people have longer feet.
Answers
Question attachment below
Answer and explanation:
Data patterns are repeated data occurrences in a certain way that is recognizable.
In the example below, the data pattern shows taller people require larger shoe sizes(the taller the person the larger the shoe size) but does make some exceptions. Example: while Denver is taller and requires a larger shoe size, Eduardo is shorter than Tim and still requires a larger shoe size than Tim.
Two lamps marked 100 W - 110 V and 100 W - 220 V are connected i
series across a 220 V line. What power is consumed in each lamp?
Answers
The power consumed in the lamp marked 100W - 110V is 15.68W
The power consumed in the lamp marked 100W - 220V is 62.73W
Step-by-step explanation:
Given:
First lamp rating
Power (P) = 100W
Voltage (V) = 110V
Second lamp rating
Power (P) = 100W
Voltage (V) = 220V
Source
Voltage = 220V
i. Get the resistance of each lamp.
Remember that power (P) of each of the lamps is given by the quotient of the square of their voltage ratings (V) and their resistances (R). i.e
P = [tex]\frac{V^2}{R}[/tex]
Make R subject of the formula
⇒ R = [tex]\frac{V^2}{P}[/tex] ------------------(i)
For first lamp, let the resistance be R₁. Now substitute R = R₁, V = 110V and P = 100W into equation (i)
R₁ = [tex]\frac{110^2}{100}[/tex]
R₁ = 121Ω
For second lamp, let the resistance be R₂. Now substitute R = R₂, V = 220V and P = 100W into equation (i)
R₂ = [tex]\frac{220^2}{100}[/tex]
R₂ = 484Ω
ii. Get the equivalent resistance of the resistances of the lamps.
Since the lamps are connected in series, their equivalent resistance (R) is the sum of their individual resistances. i.e
R = R₁ + R₂
R = 121 + 484
R = 605Ω
iii. Get the current flowing through each of the lamps.
Since the lamps are connected in series, then the same current flows through them. This current (I) is produced by the source voltage (V = 220V) of the line and their equivalent resistance (R = 605Ω). i.e
V = IR [From Ohm's law]
I = [tex]\frac{V}{R}[/tex]
I = [tex]\frac{220}{605}[/tex]
I = 0.36A
iv. Get the power consumed by each lamp.
From Ohm's law, the power consumed is given by;
P = I²R
Where;
I = current flowing through the lamp
R = resistance of the lamp.
For the first lamp, power consumed is given by;
P = I²R [Where I = 0.36 and R = 121Ω]
P = (0.36)² x 121
P = 15.68W
For the second lamp, power consumed is given by;
P = I²R [Where I = 0.36 and R = 484Ω]
P = (0.36)² x 484
P = 62.73W
Therefore;
The power consumed in the lamp marked 100W - 110V is 15.68W
The power consumed in the lamp marked 100W - 220V is 62.73W
An investor puts $1,200 into an account that pays 5.5% interest compounded annually. The total amount A in the account after t years is given by which function below?
A = 1200(1.55) t
A = 1200(1.055) t
A = 1200(1.055) t
A = 1200 + (1.055) t
Answers
Let's see
[tex]\\ \tt\leadsto A=P(1+r/n)^{nt}[/tex]
n=1[tex]\\ \tt\leadsto A=1200(1+0.055)^t[/tex]
[tex]\\ \tt\leadsto A=1200(1.055)^t[/tex]
Answer:
[tex]\sf A=1200(1.055)^t[/tex]
Step-by-step explanation:
Annual Compound Interest Formula
[tex]\large \text{$ \sf A=P\left(1+r\right)^{t} $}[/tex]
where:
A = final amountP = principal amountr = interest rate (in decimal form)t = time (in years)Given:
P = $1,200r = 5.5% = 0.055t = t yearsSubstitute the given values into the equation:
[tex]\implies \sf A=1200(1+0.055)^t[/tex]
[tex]\implies \sf A=1200(1.055)^t[/tex]
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There's a three in the tens
placed
The digit is the ones places is
third multiple of three
It is a two-digit number
Answers
Answer:
That number is 39
BRAINLIEST HELP ME!!!
Which graph shows the solution to this system of linear Inequalities?
ys2x-3
A. Graph
B. Graph B
C. Graph A
D. Graph D
Answers
10. Football: A kicker on a professional football
team made 45 of 48 field goal attempts.
a. What percent of his attempts did he
make?
b. What percent did he miss? Would you keep
this player on your team or trade for a new
kicker?
Answers
Answer:
a) 93.75%; 6.25%
b) Keep :)
Step-by-step explanation:
1. Made percentage[tex]\frac{45}{48}=0.9375=93.75[/tex]
93.75% made
2. Missed percentage[tex]\frac{3}{48}=0.0625=6.25[/tex]6.25% missed
Hope this helped! Please mark brainliest :)
Which expression is equivalent to the following complex fraction?
Answers
Step-by-step explanation:
Option B is correct. Refer to the attachment!
Find the solution set.
The solution set for 5v2 – 125 = 0
Answers
Answer:
5v2 – 125 = 0
5(v2−25)=0
v2−25=0
a couple more steps and the answer is...
v=-5
Last year Nancy weighted 37 5/8 pounds. This year she weighed 42.7 pounds. How much did she gain?
Answers
Answer:
Nancy gained 5.075 pounds.
Step-by-step explanation:
5/8=0.625
37.625
42.7-37.625=5.075
Find m angle LKJif m angle LKD=60^ and m angle DKJ=55^
Answers
Answer:
<LKJ = 115°
Step-by-step explanation:
<LKJ = <LKD + <DKJ
<LKJ = 60°+55°
<LKJ = 115°
Answered by GAUTHMATH
Answer:
We're provided - m ∠ LKD = 60° , m ∠ DKJ = 55° and we're asked to find out m ∠ LKJ. Now , Look the figure more carefully , we can see that we can create an equation and solve for m ∠ LKJ.[tex] \large{ \tt{✺ \: m \: \angle \: LKJ= m \: \angle} \: LKD \: + \: m \: \angle \: dKJ}[/tex]
[tex] \large{ \tt{⟶ \: m \: \angle \: LKJ= 60 \degree + 55 \degree}}[/tex]
[tex] \large{ \boxed{ \tt{⟶ \: m \: \angle \: LKJ = 115 \degree}}}[/tex]
Hence , Our final answer is 115° . Hope I helped! Let me know if you have any questions regarding my answer and also notify me , if you need any other help! :)▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
I will assign a question at around 9:00 today (July 3, 2021) for a huge amount of points. I won’t say where on Brainly. Good luck.
Answers
Answer:
ಠ_ಠ
Step-by-step explanation:
2(P +1) + 3(P + 2 ) > 2
Answers
Answer:
P>-6/5
Step-by-step explanation:
2(P+1)+3(P+2)>2
Use the distributive property to multiply 2 by P+1
2P+2+3(P+2)>2
Use the distributive property to multiply 3 by P+2
2P+2+3P+6>2
Combine 2P and 3P to get 5P
5P+2+6>2
Add 2 and 6 to get 8
5P+8>2
Subtract 8 from both sides
5P>2−8
Subtract 8 from 2 to get −6.
5P>−6
Divide both sides by 5. Since 5 is positive
P>−6/5
NO LINKS OR ANSWERING WHAT YOU DON'T KNOW!!!!!
7. Suppose y varies inversely with x, and y = 39 when x = 1/3. What is the value of y when x = 26.
a. 3
b. 2
c. 1/2
d. 13
8. Suppose y varies inversely with x, and y = 25 when x = -1/5. What inverse variation equation relates x and y?
a. y = 5/x
b. y = -5/x
c. y = 5x
d. y= -5x
Answers
Answer:
Problem 7) C
Problem 8) B
Step-by-step explanation:
Recall that inverse variation has the form:
[tex]\displaystyle y=\frac{k}{x}[/tex]
Where k is the constant of variation.
Problem 7)
We are given that y = 39 when x = 1/3. Thus:
[tex]\displaystyle 39=\frac{k}{{}^{1}\!/ \!{}_{3}}[/tex]
Solve for k:
[tex]\displaystyle k=\frac{1}{3}(39)=13[/tex]
Hence, our equation is:
[tex]\displaystyle y=\frac{13}{x}[/tex]
Then when x = 26, y equals:
[tex]\displaystyle y=\frac{13}{(26)}=\frac{1}{2}[/tex]
Problem 8)
We are given that y = 25 when x = -1/5. Thus:
[tex]\displaystyle 25=\frac{k}{-{}^{1}\!/ \!{}_{5}}[/tex]
Solve for k:
[tex]\displaystyle k=-\frac{1}{5}(25)=-5[/tex]
Hence, our equation is:
[tex]\displaystyle y=-\frac{5}{x}[/tex]
6/10 > _ > 1/3 which fraction goes in the blank?
Answers
Step-by-step explanation:
6/10 > _ > 1/3
3/5 > _ > 1/3
Taking the average of both the fraction½(⅗+⅓)
½(9+5/15)
½(14/5)
=7/15
6/10 > 7/15 > 1/3Answer:
7/15
Step-by-step explanation: 10 and 3 LCM is 30
6/10 x 3 =18/30 and 1/3x 10= 10/30
10/30 and 18/30 average is 14/30 which simplified is 7/15
The answer is 7/15
Hope it helps
The following data show the number of cars passing through a toll booth during a certain time period over 15 days. 18 19 17 17 24 18 21 18 19 15 22 19 23 17 21 Identify the corresponding dotplot.
Answers
Answer: third from the top
Step-by-step explanation:
The correct answer is third from the top.
Arranging numbers in ascending order:
15 17 17 17 18 18 18 19 19 19 21 21 22 23 24
Let's count how many times each number occurs in this series of numbers.
row of numbers
15 +
16 not
17 + + +
18 + + +
19 + + +
20 not
21 + +
22 +
23 +
24 +
25 not
PLEASE HELP
The function in the table is quadratic:
TRUE
FALSE
Answers
Answer:
False
Step-by-step explanation:
Each f(x) increases by 8 therefore this equation is a linear function. If you where to graph it would be a straight line
Hope this helped :)
Answer:
False
Step-by-step explanation:
The slope is the same between all pounts which means the function is linear.
Hope this helps!
In triangle ABC , segment AB is congruent to segment CB . Which angles are congruent?
Answers
Answer:
angles A and C are congruent
One hundred sixty people were surveyed and asked if believed in ufos, ghosts, and bigfoot. 42 believed in ufos 45 believed in ghosts 21 believed in bigfoot 11 believed in ufos and ghosts 6 believed in ghosts and bigfoot 4 believed in ufos and bigfoot 2 believed in all three how many people surveyed believed in at least one of these ?
Answers
Answer:
[tex]P(A\cup B \cup C)=89[/tex]
Step-by-step explanation:
From the question we are told that:
Believed in UFO's [tex]A=42[/tex]
Believed in Ghosts [tex]B=45[/tex]
Believed in Bigfoot [tex]C=21[/tex]
Believed in UFO's & Ghosts [tex]A&B=11[/tex]
Believed in Ghosts & Bigfoot [tex]B&C=6[/tex]
Believed in UFO's & Bigfoot [tex]A&B=4[/tex]
Believed in ALL [tex]A&B&C=2[/tex]
Generally with a well detailed Set diagram of the Number of People that that believed in at least one of them is mathematically given by
[tex]P(A\cup B \cup C)=n(A\cap C)-n(B\cap C) +n(A\cap B \cap C)[/tex]
[tex]P(A\cup B \cup C)=42+45+21-11-6-4+2[/tex]
[tex]P(A\cup B \cup C)=89[/tex]
There are 3 boxes of coins. There are 4 times as many coins in Box A as in Box B. There are 180 fewer coins in Box C than Box A. The number 2 of coins in Box B is of the total number of coins in the three boxes. 13 What is the total number of coins in the three boxes?
Answers
Answer:
Step-by-step explanation:
The answer b
