I don’t know how to shift equations even when it’s on a grap could you please help
Answers
To shift the graph of a function f(x) in a units in the horizontal axis, we replace x by x - a:
\(f(x)\rightarrow g(x)=f(x-a).\)To shift the graph of a function f(x) in b units in the vertical axis, we sum b to the function:
\(f(x)\rightarrow g(x)=f(x)+b.\)------------------------------------------
We have the parent function:
\(y=f(x)=2^x.\)The transformed function is:
\(y=2^{x+4}+3.\)1) First, we shift the function f(x) a = -4 units in the horizontal axis, we get:
\(f(x)=2^x\rightarrow g(x)=f(x-(-4))=f(x+4)=2^{x+4}\text{.}\)2) Secondly, we shift the function g(x) b = 3 units in the vertical axis, we get:
\(g(x)=2^{x+4}\rightarrow h(x)=g(x)+3=2^{x+4}+3.^{}\)We see that the transformed function h(x) is obtained by shifting f(x):
0. a = -4 units in the horizontal axis, i.e. ,4 units to the left,,
,1. b = 3 units in the vertical axis, i.e. ,3 units up,.
Answer
C. Shifted left 4 and up 3
Related Questions
IF U ANSWER THIS CORRECTLY UN WILL GET CUSTOM PUDU
Answers
Answer:
Step-by-step explanation:
a=b+12
b=c+4
a=(c+4)+12
a=c+16
Can someone help me please I need to check this answer in equations. I have the answer I just need someone to help me check it correctly. There is a way to check them as per Math equations check. 5 pts
8(4 – a) = 2a
32-8a=2a
-2a from both sides
32-10a=0
-32 from both sides
-10a=-32
A=-32/-10
Answer: 16/5=3 1/5 =3.2
Answers
Answer:
3.2
Step-by-step explanation:
8(4-a)=2a
32-8a=2a
collect like terms
32=2a+8a
32=10a
divide both sides by 10
a=3.2
Your solution is correct
Solve for w. 9w-4/4=5w-6/7+6
Answers
Answer:
\(w=\frac{1}{16}\)
Step-by-step explanation:
\(\frac{9w-4}{4} =\frac{5w-6}{7+6}\)
\(9w-1=\frac{5w-6}{13}\)
\(9w-1+1=\frac{5w-6}{13}+1\)
\(9w=\frac{5w-6}{13}+1\)
13 × 9w = 13 × \(\frac{5w-6}{13}+1\)
117w = 5w - 6 + 13
117w = 5w + 7
117w - 5w = 5w - 5w + 7
112w = 7
112w ÷ 112 = 7 ÷ 112
\(w=\frac{1}{16}\)
Solve the following polynomial equation by grouping and factoring.36y^3−49y=0
Answers
36y³ - 49y = 0
y(36y² - 49) = 0
Then, the first root is y = 0, while the another root is given by 36y² - 49 = 0
From this, we have:
36y² = 49
y² = 49/36
Then we have y = 7/6 or y = -7/6
The set of solutions is given by {-7/6,0,7/6}
jaxson mom is 35,wich is 3 times as old as jaxson. what is the equation that reprsents this situation and is jaxson age.
Answers
Answer:
Step-by-step explanation:
Let J be Jaxson's age.
According to the problem, Jaxson's mom is 35, which is three times as old as Jaxson. So, we can write:
Jaxson's mom's age = 3 times Jaxson's age
35 = 3J
To find Jaxson's age, we can solve for J by dividing both sides of the equation by 3:
35/3 = J
Jaxson's age is approximately 11.67 years old (rounded to two decimal places).
A fancy restaurant put dishes of butter at each table. They divided 4/5 of a kilogram of butter evenly to put 1/5 of a kilogram in each dish. How many butter dishes did they fill?
Answers
Answer: 4
This problem requires basic division. If the restaurant divided 4/5 kg of butter with 1/5 kg on each dish, you would need to compute 4/5 divided by 1/5.
4/5 ÷ 1/5
Using the "KFC" method, or Keep, Change, Flip, you would keep the first number (in this case, 4/5), change the division sign, and flip the fraction to 5/1, or 5. We now have this:
4/5 x 5
To compute this equation, you must multiply the numerators of both of the numbers together. In this case, you would compute (4x5)/5, resulting with 20/5, or 4.
You can check this answer by re-multiplying the numbers together. 1/5 kg of butter per dish, multiplied by the total amount of dishes, 4, you would result in the original 4/5 kg of butter.
Hope this helps!
What segment is congruent to CD?
Answers
Answer:
we need a picture of the problem
Step-by-step explanation:
So i need help with the question below.
Answers
Answer:
Option (1)
Step-by-step explanation:
Option (1)
\(3\frac{3}{9}+7\frac{6}{11}=10\frac{87}{99}\)
\(3\frac{3}{9}+7\frac{6}{11}\) \(=3+\frac{3}{9}+7+\frac{6}{11}\)
\(=(3+7)+(\frac{3}{9}+\frac{6}{11})\)
\(=10+(\frac{3}{9}\times \frac{11}{11})+(\frac{6}{11}\times \frac{9}{9})\)
\(=10+(\frac{33}{99}+\frac{54}{99})\)
\(=10+\frac{87}{99}\)
\(=10\frac{87}{99}\)
True.
Option (2)
\(2\frac{3}{8}+6\frac{4}{5}=8\frac{12}{40}\)
\(2\frac{3}{8}+6\frac{4}{5}=2+\frac{3}{8}+6+\frac{4}{5}\)
\(=(2+6)+(\frac{3}{8}+\frac{4}{5})\)
\(=(8)+(\frac{3}{8}\times \frac{5}{5} +\frac{4}{5}\times \frac{8}{8})\)
\(=8+(\frac{15}{40}+\frac{32}{40})\)
\(=8+\frac{47}{40}\)
\(=8+\frac{40}{40}+\frac{7}{40}\)
\(=8+1+\frac{7}{40}\)
\(=9+\frac{7}{40}\)
\(=9\frac{7}{40}\)
False.
Option(3)
\(3\frac{3}{7}+4\frac{2}{3}=7\frac{2}{21}\)
\(3\frac{3}{7}+4\frac{2}{3}=(3+\frac{3}{7})+(4+\frac{2}{3})\)
\(=(3+4)+(\frac{3}{7}+\frac{2}{3})\)
\(=7+(\frac{3}{7}\times \frac{3}{3} +\frac{2}{3}\times \frac{7}{7})\)
\(=7+(\frac{9}{21}+\frac{14}{21})\)
\(=7+(\frac{23}{21})\)
\(=7+(\frac{21}{21}+\frac{2}{21})\)
\(=8+\frac{1}{21}\)
\(=8\frac{1}{21}\)
False.
Option (4)
\(4\frac{5}{6}+5\frac{5}{7}=9\frac{10}{13}\)
\(4\frac{5}{6}+5\frac{5}{7}=4+\frac{5}{6}+5+\frac{5}{7}\)
\(=(4+5)+(\frac{5}{6}+\frac{5}{7})\)
\(=9+(\frac{5}{6}\times \frac{7}{7}+\frac{5}{7}\times \frac{6}{6})\)
\(=9+(\frac{35}{42}+\frac{30}{42})\)
\(=9+\frac{65}{42}\)
\(=9+(\frac{42}{42}+\frac{23}{42})\)
\(=9+1+\frac{23}{42}\)
\(=10\frac{23}{42}\)
False.
Therefore, Option (1) is the answer.
Find the measure of the missing angles
Answers
Answer:
g = 118°
k = 98°
h = 62°
m = 82°
Step-by-step explanation:
g = 118° (opposite angles)
k = 98° (opposite angles)
h + 118° = 180°
h = 180° - 118°
h = 62°//
m + 98° = 180°
m = 180° - 98°
m = 82°//
Will mark the brainliest for this answer!!! Really struggling!
Answers
Answer:
5 gallons of the 10% fructose solution.
15 gallons of 20% fructose solution
Step-by-step explanation:
You basically have an equation
Some amount of 10% solutions and some amount of 20% are to be combined to get to 17.5
So we can label those two amounts x and y, x being 10% and y being 20%.
We know that x + y (in gallons) must be equal to 20 gallons, so we can do this
x+y = 20
y = 20-x.
Then we can multiply x by 10% = 0.1x, 20-x by 20% which makes 4-0.2x
Then we know that the end result must be 20 gallons of 17.5% so we can multiply those two to get 3.5
Then we can add all of our results.
0.1x + 4 - 0.2x = 3.5
Solve for x
-0.1x = -0.5
x = 5
Now we have what x is, so we now know that there was 5 gallons of the 10% fructose solution.
Then we know that y = 20 - x so y is equal to 20 - 5 which is 15.
So that means that 15 gallons of 20% fructose solution was used.
So the answer is
5 gallons of the 10% fructose solution.
15 gallons of 20% fructose solution.
Hope this helped.
Evaluate 3{5 + 3[10 + 4 · 8]}
Answers
Answer:
393
Step-by-step explanation:
3{5+3[10+4x8]}
⇒ 3{5+3[10+32]}
⇒ 3{5+3[42]}
⇒ 3{5+126}
⇒ 3x131
⇒ 393
Answer:
Step-by-step explanation:
3x5+3x3x(10+4
15+9x(10+4x8)
15+9x10+9x4x8
15+90+288
105+288=393
Fiona enlarges a parallelogram that has a perimeter of 17 meters.
A small parallelogram has a left side length of 3.5 meters. A larger parallelogram has a left side length of 21 meters.
Not drawn to scale
What is the perimeter of the enlarged parallelogram?
30 meters
73.5 meters
102 meters
105 meters
Answers
Answer:
The correct answer is C.
Step-by-step explanation:
Answer: C. 102 cm
Step-by-step explanation:
I took the quiz on Edge, and it is correct.
If 82 pages had between 7 and 9 errors, what was the approximate total number of pages in the book?
A: 202 pages
B: 120 pages
C: 68 pages
D: 56 pages
Answers
Answer:
120 pages
Step-by-step explanation:
The mean number of error per page = 8 ; Standard deviation = 1
Given that :
82 pages has between 7 and 9 errors per page ;
Using the empirical rule :
7 = 8 - 1 = 1 standard deviation below the mean
9 = 8 + 1 = 1 standard deviation above the mean
1 standard deviation from the mean = 68%
Hence, 82 pages = 68%
Approximate total pages :
68% = 82
100% = total pages, x
0.68 = 82
1 = x
0.68x = 82
x = 82 / 0.68
x = 120.588
Hence, total number of pages is 120 pages
Which pair of words describe this system of equations
3y=9x-6
2y-6x=4
Answers
The pair of words that describe the given system of equations is: consistent and dependent.
A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation.
It demonstrates the equality of the relationship between the expressions written on the left and the right.
Given equations:
3y=9x-6
2y-6x=4
The first equation can be simplified and written as: y=3x-2
Similarly, the second equation can be written as: y-3x=2
It can be seen that the two equations are the same. Thus, the given system of equations is consistent and dependent.
Learn more about equations here:
https://brainly.com/question/2972832
#SPJ1
Calculate the UCL and LCL for a mean chart. Assume the standard deviation is unknown. Round to 1 decimal.
Answers
Answer and explanation:
Please find answer and explanation attached
Which symbol correctly relates 23 ? 16 check all that apply
Answers
Answer:
C and E
Step-by-step explanation:
23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.
Pls help I’ll brainlest
Answers
Answer:
Choice B
Step-by-step explanation:
7.1×10⁵ = 710,000
Answer:
The answer is B. 7.1 times 10^5.
Step-by-step explanation:
To convert a number to scientific notation, place or move the decimal point of a number until the coefficient of the number is greater than 1 and less than 10. Record down the coefficient and count the number of steps the decimal point was moved. The number of steps moved is taken as the exponent.
In 710,000, the decimal is moved to the left 5 times. Thus, causing 710,000 to written as 7.1 times 10^5 in scientific notation.
Consider the marginal cost function C′(x)=0.12x2−4x+80.
a. Find the additional cost incurred in dollars when production is increased from 2 units to 13 units.
Answers
To find the additional cost incurred when production is increased from 2 units to 13 units, we need to calculate the difference between the total cost of producing 13 units and the total cost of producing 2 units.
The total cost of producing x units is given by the antiderivative of the marginal cost function:
C(x) = ∫ C′(t) dt = 0.04t^3 - 2t^2 + 80t + C
where C is an arbitrary constant of integration.
To find the value of C, we can use the fact that the total cost of producing 2 units is known:
C(2) = 0.04(2)^3 - 2(2)^2 + 80(2) + C = 162 + C
We know from the problem statement that the total cost of producing 2 units is $162, so we can solve for C:
162 + C = C(2) = 0.12(2)^2 - 4(2) + 80 = 68
C = -94
Now we can find the total cost of producing 13 units:
C(13) = 0.04(13)^3 - 2(13)^2 + 80(13) - 94 = 1956
The additional cost incurred when production is increased from 2 units to 13 units is:
C(13) - C(2) = 1956 - 162 = $1794
Therefore, the additional cost incurred in dollars when production is increased from 2 units to 13 units is $1794.
QUICK I’LL MARK YOU BRAINLIEST!!
5-142. Use the similar figures at right to answer the questions.
1. What is the scale factor?______
2. Find the lengths of the missing sides on the similar shapes below.
X=______ Y=_______ Z=_____
Answers
Answer:
Z = 22.5, Y = 81, X = 26.7
Step-by-step explanation:
Using the lengths you do know compare them to the copy, the only two lengths available that are for the same side length are 33 and 22, divide them together and you get 1.5. Thats the scale factor. Everything else you can figure out by multiplying or dividing by this scale factor.
\(Z = (15)(1.5) = 22.5\\Y = (54)(1.5) = 81\\X = (40)/(1.5) = 26.7\)
PLEASE HELP DUE IN 20
Answers
I HOPE IT WILL HELP YOU.
Thank you.
TEDDYLOVER ^ - ^
what is the x normally stand for?
Answers
Answer:
The letter "x" is often used in algebra to mean an unknown value. It is often called a "variable".
Example:
In x + 5 = 12, x is a variable, but we can work out its value if we try!
Triangles WILL GIVE BRAINLIEST
Answers
Answer:
A
Step-by-step explanation:
A
Answer:
Q9 - Option 1---- A - 15.6 Square Units
Q10 --Option --- (B) RECTANGLE
Step-by-step explanation:
Q9 --
Analyze:we know area of triangle = 1/2 ab sin theta
Where theta is the angle included between sides A and side B
Calculate:A = 5.2
B = 7
theta = 121 degrees
Area:1/2 * 5.2 * 7 * sin 121 degrees = 15.6 Square Units
Conclusion
The area of the triangle is 15.6 Square Units
Q10 - The cross-section of a right cylinder which is perpendicular to its base is a RECTANGLEOption --- (B) RECTANGLE
Hope this helps!
Ports M and N are 162 mi apart. A ship left port M for port N
at a speed of 45 mph. Forty-five minutes later, a second ship left
port N and steamed toward the first ship at a speed of 36 mph.
How long after the departure of the first ship will the two ships
meet?
Answers
It will take the two ships at ports M and N 162miles apart 2.33 hours to meet.
What is rate?a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.
let the distance both ships meet be x and he time taken to get to x by first ship be t.
second ship: time taken to get to (160 - x) is (t - 0.75) 45 minutes is same as 0.75 hour
so speed of first sheep
45 = x/t
x = 45t--------------1
speed of second ship
36 = 162-x / t - 0.75
cross multiply
36(t - 0.75) = 162 -x
x = 160 - 36(t - 0.75) -------------------2
equate equation 1 and 2
45t = 162 - 36(t - 0.75)
multiply out
45t = 162 -36t + 27
45t+36t = 162+27
81t = 189
t = 189/81
t = 2.33 hours
In conclusion the time taken for both ships to meet is 2.33 hours
Learn more about rate: https://brainly.com/question/119866
#SPJ1
whats the percent change from 100 to 140
Answers
Answer:
40%
Step-by-step explanation:
Which is more, 6 liters or 6,001 milliliters?
Answers
Answer: 6,001 milliliters
Step-by-step explanation: 6 Liter translates to 6,000 milliliters, which is 1 less than 6,001 milliliters.
Answer:
I believe 6 liters is more.
Please see my question in the attachment, thanks!
Answers
The limit of the function As x → - ∞, f(x) → 2.
What is the limit of a function?The limit of a function is the value the function tends to as the independent variable tends to a given value.
Given the graph of the function above, to find the limit of the function As x → -∞, f(x) →? We proceed as follows
Looking at the graph, we see that f(x) has a horizontal asymptote at y = 2. Now, we see that As x → -∞, f(x) approaches 2.
So, As x → - ∞, f(x) → 2.
Learn more about limit of a function here:
https://brainly.com/question/27449919
#SPJ1
Please help 6 is the most important
Answers
Answer:
Numer 6 answer is (7.7
Step-by-step explanation:
Sry I don't know the rest
~~~~~~~~~
Use the following information to answer the next question. In the process, what is the total distance that Jeremy covers?Use the following information to answer the next question.
In the process, what is the total distance that Jeremy covers?
Answers
The total distance covered by Jeremy is 1320 m
What is a line segment ?
A line segment in geometry is bounded by two separate points on a line. Another way to describe a line segment is as a piece of the line that joins two points. A line segment has two fixed or distinct endpoints while a line has no endpoints and can stretch in both directions indefinitely.
For sapling 1 = No distance is covered.
For sapling 2, distance covered = 10 m
Return distance=10 m
For sapling 3, distance covered =20 m
Return distance=20 m and so on
Thus the distances covered for saplings can be represented as : 0,2(10), 2(20),...i.e. 0,20, 40,...
Therefore total distance covered by Jeremy for planting 12 saplings and coming back to original position = S 12
Total distance covered = 122 [2(0) + (12 − 1) 20 ]
Total distance covered = 6 (11)(20) = 1320 m
To learn more about the line segment from the given link
https://brainly.com/question/2437195
#SPJ1
Complete question:
There are 12 saplings to be planted in a straight line at an interval of 10 m between
two consecutive saplings. Jeremy can carry only one sapling at a time and he has to
come back to the original point to take the next sapling. He plants 12 saplings in this
manner, planting the first sapling at the original point. After planting all the saplings,
he comes back at the original point,
In the process, what is the total distance that Jeremy covers?
Two angles are supplementary. The measure of one angle is eight times the measure of the other. Find the measure of each angle.
Answers
Answer:
The small angle is 20
The large angel is 160
Step-by-step explanation:
x + y = 180
x = 8y Substitute for x in the top equation
8y + y = 180 Combine
9y = 180 Divide by 9
y = 180/9
y = 20
x = 8y
x = 8 * 20
x = 160
emmy and roscoe both run every day. Yesterday emmy ran 8 mile in 2 hours. Roscoe ran 6 ½ miles in 1 ½ hours. Who ran faster and why
Answers
Roscoe is faster.
What is speed?Speed is a scalar quantity that refers to "how fast an object is moving."
Given that, Emmy and Roscoe both run every day. Yesterday Emmy ran 8 mile in 2 hours. Roscoe ran 6 ½ miles in 1 ½ hours.
Speed = distance / time
Emily's Speed = 8 / 2 = 4 mph
Roscoe's speed = 6 ½ / 1 ½ = 6.5 / 1.5 = 4.33 mph
Since, Roscoe's speed is greater than Emily's speed.
Hence, Roscoe is faster.
Learn more about speed, click;
https://brainly.com/question/28224010
#SPJ1