Answers
Using translation concepts, we have that:
4. The type is f(x + k), with k = 3, and a horizontal shift.
5. The type is kf(x), with k = 5 and a vertical stretch.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For graph 4, we have function g(x) is a shift left of 3 units of function f(x), hence:
The type is f(x + k), with k = 3, and a horizontal shift.
For graph 5, we have that for each value of x, g(x) = 5f(x), hence:
The type is kf(x), with k = 5 and a vertical stretch.
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Related Questions
4–3n≥10
someone want 50 points?
Answers
Answer:
n <(_) -2
Step-by-step explanation:
We can start by doing this linearly.
First subtract 4 on both sides
-3n >(_) 6
Then divide both sides by -3. You have to switch the sign because you are dividing by a negative number.
n <(_) 6
I cant find my answer please help!
Answers
Step-by-step explanation:
once we know what the domain and the range of a function is, this is very simple.
the domain is the interval or set of all valid x (input) values.
the game is the interval or set of all valid y (function result) values.
so, what are all the valid x values ? that means for how many months of collection can we use this function to see how many figurines he has ?
well, we can stay with 0 (what he currently has) and go up to 5 (because after 5 months he does not want to continue this behavior).
so, the domain is
0 <= x <= 5 if we allow also fractions of months as input (if this makes sense)
or
x € {0, 1, 2, 3, 4, 5} if we allow only whole numbers.
and the range ? what are the possible result values of the function ?
for x = 0 it starts with y (or f(x)) = 100.
x = 1 gives us 100 + 3×1 = 103
x = 2 gives us 100 + 3×2 = 106
x = 3, 100 + 3×3 = 109
x = 4, 100 + 3×4 = 112
x = 5, 100 + 3×5 = 115
so, the range is
100 <= y <= 115 if we allow fractions of months
or
y = f(x) € {100, 103, 106, 109, 112, 115} if we allow only whole months as values of x.
\large \frac{2\cdot3^{-4}}{5^{-2}}
Adam wrote: \large \frac{2\cdot5^2}{3^4}
Nick wrote: \large \frac{5^2}{2\cdot3^4}
Shane wrote: \large \frac{2\cdot3^4}{5^{^2}}
Who is correct and why?
a
Adam is correct because the negative exponent moves the base to the other side of the fraction bar and makes the exponent positive.
b
None of these are correct because the students did not add the exponents in the numerator and then subtract exponents since there is division.
c
Nick is correct because the negative exponent in the numerator moves the whole numerator into the denominator and makes the exponent positive.
d
Shane is correct because all that needs to be done is to make the negative exponents positive.
Answers
Answer:the answer is A:nick is correct
Step-by-step explanation:
Based on the fraction given of [tex]\large \frac{2\cdot3^{-4}}{5^{-2}}[/tex], the correct person is c. Nick is correct because the negative exponent in the numerator moves the whole numerator into the denominator and makes the exponent positive.
Why is Nick correct?When a number is being taken to the negative power, then it can be rewritten as a fraction where the number becomes the denominator and the numerator becomes 1.
The number, 2.3⁻⁴ can be written as:
= 1/2.3⁴
The number 5⁻² can be written as:
= 1 / 5²
When these numbers are divided we get:
= 1/2.3⁴ ÷ 1 / 5²
= 1/2.3⁴ x 5²/1
= 5² / 2.3⁴
= [tex]\large \frac{5^2}{2\cdot3^4}[/tex]
In conclusion, Nick was correct.
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calculate the area of the shaded region in each figure. Use 3.14 for pi and round to the nearest tenth, if necessary.
Answers
The area of the shaded region based on the information will be 201cm².
How to illustrate the area?It should be noted that the radius of the outer circle will be:
= Diameter / 2
= (8 + 8 + 4 + 4)/2
= 24 / 2
= 12cm
The area of the circle = πr²
= 3.14 × 12²
= 3.14 × 144
= 452.16 cm²
The area of the circle with radius 8cm = 200.96 cm²
The area of the circle with radius 4cm =50.24cm².
The area of the shaded region:
= 452.16 - 200.96 - 50.24
= 200.96 cm²
Therefore, the area of the shaded region based on the information will be 201cm².
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share £60 in the ratio 3:1
Answers
If we share $60 in the ratio 3:1, then each person will get is $45 and $15 respectively
Given,
The total amount = $60
The ratio = 3:1
Then the amount given to first person = 3x
The amount given to the second person = x
Given that the total amount is 60
Then the equation will become
x+3x=60
4x=60
x=[tex]\frac{60}{4}[/tex]
x=15
The amount given to the first person = 3x
Substitute the value of x in the equation
The amount given to the first person =3x
=3×15
= $45
The amount given to the second person =x
= $15
Hence, if we share $60 in the ratio 3:1, then each person will get is $45 and $15 respectively
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the given equation is either linear or equivalent to a linear equation. solve the equation. (if there is no solution, enter no solution. if all real numbers are solutions, enter reals.)
Answers
The given equation has one solution which is x = 6 (which is a REAL number).
What is a solution of linear equation?Linear Equation Solutions are the values of a variables in linear equations that give all possible solutions. Linear equations represent real-world problems by involving unknown quantities with in form with one or more variables.
Some key concepts regarding the solution of linear equation are-
Linear equation solutions are the points where the lines or planes indicating the linear equations intersect or meet. A solution set of a linear equation system is the collection of all possible solutions' values for the variables. While solving linear equations, for example, one can depict the solution of such a system of simultaneous linear equations by having drawn two linear graphs and locating their intersection point.Now, for the given question;
The linear equation is -
4x + 9 = 33
Solving this;
4x = 33 - 9
4x = 24
x = 24/4
x = 6
Therefore, the solution of the given linear equation is (x=6), where 6 is the real number.
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The complete question is-
The given equation is either linear or equivalent to a linear equation. Solve the equation. (If there is no solution, enter NO SOLUTION. If all real numbers are solutions, enter REALS.)
4x + 9 = 33
a simple dart target has two concentric circles. the larger circle has a radius of 4. the smaller circle has a radius of 2. the scoring should correspond to the relative difficulty of hitting the inner circle and the outer ring. how many more points should a player receive for landing a dart in the inner circle, as opposed to the outer ring? the player should receive 2 π times as many points. the player should receive 3 times as many points. the player should receive 9 times as many points. the player should receive 4 π times as many points.
Answers
The points awarded for striking the inner circle ought to be tripled.
What is the inner circle?
The face region of the circle determines the likelihood of landing an outrage there.The formula for calculating a circle's area is: inner circle for the exterior circle, apply the formula to subtract the inner circle's value to determine the remaining area.The formula for the area of a(one) circle is an inner circle for the external circle, use the formula also abate the value of the inner circle, to find the remaining area, which means that the area of the external circle is 3( three) times larger, making it 3( three) times more likely to hit the external circle.
Thus, The points awarded for striking the inner circle ought to be tripled.
[tex]\pi r^2 A =\pi 2^2 = 12.566 A\\[/tex]
so,
[tex]\pi 4^2 - 12.566 = 3(three)[/tex]
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The planet XYZ travels about the star ABC in an orbit that
is almost circular. Assume that the orbit is a circle with
radius 94,000,000 mi. Assume there are 24 hours in one
day on planet XYZ.
(a) Assume that XYZ planet year is 346 days, and find the
angle formed by XYZ's movement in one day.
(b) Give the angular speed in radians per hour.
(c) Find the linear speed of XYZ in miles per hour.
please help me!!!
Answers
Answer:
v = 2.33 10⁷ mi / h
Explanation:
For this exercise we must observe that the velocity module is constant, so we can use the kinematic relation v = d / tThe distance traveled in each orbit is the length of the circle L = 2π rThe time it takes in orbit is called period (T)Let's reduce the quantities r = 8.9 10⁷ mi t = 24 h (3600s / 1 h) = 86400 sWe replace v = 2π r / TLet's calculate v = 2π 8.9 10⁷/86400 v = 6.47 10³ mi / s v = 6.47 10³ mi / s (3600 s / 1h) v = 2.33 10⁷ mi / h
In a survey the ratio of students who prefer muffins to bagels is 4 to 5 if the number of students surveyed who prefer muffins is 420 how many prefer bagels
Answers
In a survey where the ratio of students who prefer muffins to bagels is 4 to 5 and 420 prefer muffins, 525 students prefer bagels.
Ratio is the relationship between two quantities, normally expressed as the quotient of one divided by the other.
It can be expressed in different ways:
1) Use the ":" to separate the values : a : b
2) Use the word "to" : a to b
3) Write it in fraction: a / b
On the other hand, proportion is the equality of two ratios, such that
a : b = c : d
Given a proportion, the product of its means must be equal to the product of its extremes. That is:
ad = bc
If the ratio of students who prefer muffins to bagels is 4 to 5, and 420 students prefer muffins, the proportion can be written as:
4 : 5 = 420 : n
where n = number of students who prefer bagels
Solving for n,
4n = 5(420)
4n = 2100
n = 525
number of students who prefer bagels = 525
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A,b,c or d I don’t know which one to pick
Answers
Answer:
b
Step-by-step explanation:
the answer is b because 50 + (11 x 9) = 149
75 + (8 x 9) = 147
Therefore, franks fiesta is less expensive for parties of 9 or more
which ratio has the unit rate of 4
Answers
[tex]2\frac{1}{2} ~~ : ~~ \cfrac{5}{8}\implies \cfrac{5}{2} ~~ : ~~ \cfrac{5}{8}\implies \cfrac{ ~~ \frac{5}{2} ~~ }{\frac{5}{8}}\implies \cfrac{5}{2}\cdot \cfrac{8}{5}\implies 4 ~~ \checkmark \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1}{8}~~ : ~~1\implies \cfrac{ ~~ \frac{1}{8}~~ }{1}\implies \cfrac{1}{8} ~~ \bigotimes \\\\[-0.35em] ~\dotfill[/tex]
[tex]4~~ : ~~1\frac{1}{4}\implies 4~~ : ~~\frac{5}{4}\implies \cfrac{4}{ ~~ \frac{5}{4} ~~ }\implies \cfrac{4}{1}\cdot \cfrac{4}{5}\implies \cfrac{16}{5}~~ \bigotimes \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{8}~~ : ~~3\frac{1}{2}\implies \cfrac{7}{8}~~ : ~~\cfrac{7}{2}\implies \cfrac{ ~~ \frac{7}{8}~~ }{\frac{7}{2}}\implies \cfrac{7}{8}\cdot \cfrac{2}{7}\implies \cfrac{1}{4}~~ \bigotimes \\\\[-0.35em] ~\dotfill[/tex]
[tex]4\frac{1}{3}~~ : ~~3\implies \cfrac{13}{3}~~ : ~~3\implies \cfrac{ ~~ \frac{13}{3}~~ }{3}\implies \cfrac{13}{3}\cdot \cfrac{1}{3}\implies \cfrac{13}{9} ~~ \bigotimes \\\\[-0.35em] ~\dotfill\\\\ 2~~ : ~~\cfrac{1}{2}\implies \cfrac{2}{ ~~ \frac{1}{2} ~~ }\implies \cfrac{2}{1}\cdot \cfrac{2}{1}\implies 4 ~~ \checkmark[/tex]
Consider this system of inequalities.
x + y ≤ –3
y < StartFraction x Over 2 EndFraction
Which graph shows the solution for this system?
Answers
The line x + y ≤ –3 will be solid and shaded below the graph and the line y < x/2 will be dashed and shaded below the graph.
Graphing linear inequalities.Inequalities is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
When graphing the inequalities x + y ≤ –3, the line will intersects the y-axis at the coordinate point (0, -3) and the line will be solid and shaded below the graph.
When graphing the inequalities y < x/2, the line will intersects the y-axis at the coordinate point (0, 0) and the line will be dashed and shaded below the graph.
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Consider the sequence 4, 3, 2, 1.... What is f(4)?
Answers
Answer: 1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
it's the fourth number in the sequence
Multiply the total (36.45) by 0.07 to find the tax. Then find the total, including tax.
Answers
Answer:
39.0015
Step-by-step explanation:
36.45 x 0.07 = 2.5515
36.45 + 2.5515 = 39.0015
a. It is linear because it has a constant rate of change.
b. It is linear because it does not have a constant rate of change.
c. It is not linear because it has a constant rate of change.
d. It is not linear because it does not have a constant rate of change.
Answers
c. It is not linear because it has a constant rate of change.
Answer:
D
Step-by-step explanation:
this is showing a quadratic
The record high temperature in Green Bay, Wisconsin is 104 degrees, the record low
temperature is -36 degrees.
What is the difference between the record high and record low temperatures?
Answers
8x-4y=7 3x+6y=12 what is the value of x
Answers
Answer: x=1
Step-by-step explanation:
2(8x-4y=7)
3x+6y=12
16x-6y=7
3x+6y=12
19x/19 = 19/19
x=1
Step-by-step explanation:
8x-4y=7 3x+6y=12
8x-3x=7 4y+6y=12
5x=7 10y=12.
Please answer the questions in the photo [ Brainliest + points ]
Answers
Answer:
8 is 69
9 is 68
t is 99 i think
z is 80 i think
H 68
T 43
Z 80
I think these are the answers
Solve the following:
32 ÷ 4 + 4 x 8 = ?
A. 42
B. 32
C. 96
D. 40
Answers
Answer:
Step-by-step explanation: 40 see attachment
Solve 6^x + 2 = 10 for x using the change of base formula log, y = log y log b
Answers
The answer for "x" in 6^(x+2) = 10 is -0.715
The logarithm is the inverse function of exponentiation in mathematics. That is, the logarithm of a given integer x is the exponent to which another set number, the base b, must be increased in order to create x.Firstly, we use the change of base formula. The base must be 6 because the "x" variable is a power of it.6^(x+2) = 10Taking a log with base 6 on both the sidesThen, we can use the property logarithm power rule:(x + 2) log6 = log10(x + 2)(1) = (log10)/(log6)x + 2 = 1/log6x + 2 = 1.285x = 1.285 - 2x = -0.715To learn more about logarithm, visit :
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Graph the line that represents the equation y= - 2/3 x + 1
I will give out brainlist
help [please]
Answers
Answer:
Step-by-step explanation:
Hi
Find the distance between points A and B. A = (3,-7) B = (3,1)
Answers
The distance between points A and B is 8 units.
We have been given two points A and B.
The coordinates of the points are A = (3,-7) B = (3,1)
We need to find the distance between points A and B.
Let d be the distance between points A and B.
Using distance formula,
d = √[(3 - 3)² + (1 - (-7))²]
d = √[0² + 8²]
d = √8²
d = 8 units
Therefore, the distance between points A and B is 8 units.
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3)
1 1/3
is fractions between which set of numbers?
A) 1.3 and 1.4
B) 1.2 and 1.3
□ C) 1.1 and 1.2
□ D) 1.4 and 1.5
Answers
None of the above, since the improper fraction 4/3 is identical to the mixed number 1 1/3.
There are various types of fractions, including proper and improper fractions as well as mixed numbers. Mixed numbers: Sometimes converting a mixed number into an incorrect fraction is advantageous or required. If you answer equations that contain both mixed numbers and fractions, you must take this step.
Divide the full integer by the denominator of the fraction (3). (1). 3 x 1 = 3. The product you obtained in the previous step (3) after adding the fraction's numerator (1) is equal to four. 1 + 3 = 4.This turns becomes the improper fraction's numerator. As with the proportion in the mixed number, the denominator remains constant.
Hence, the set of numbers 1 1/3 fraction is 4/3.
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If it costs $9.50 to buy a
movie ticket, what is the
most number of tickets
someone can buy for
$40.00? How much money
is left over?
PLEASE SHOW WORK
Answers
The number of tickets that can be bought with $40 is 4 tickets
How to calculate the number of tickets ?It costs $9.50 to buy 1 tickets
The number of tickets that will be bought with $40 can be calculated as follows
= 40/9.50
= 4.2
Hence 4 tickets will be bought with $40
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Evaluate the expression when h = 5.
2h+h-2 (3) =
Answers
in the image i provided gives you a walk through of the steps on how to solve. all you do is plug the 5 into where the places where the h is in the problem and do the math
Answer:
Step-by-step explanation:
For every "h" plug in "5", then follow the order of operations
2h+h-2(3)
2(5)+5-2(3)
10+5-6
15-6
=9
The answer is 9
Which of the following numbers is rational?
A. 2√5
B. √25
C. 2pi
D. 25pi
Answers
Answer:
B
Step-by-step explanation:
_/25 can be rooted to 5. 5 is rational.
in a random sample of 7 residents of the state of california, the mean waste recycled per person per day was 1.7 pounds with a standard deviation of 0.36 pounds. determine the 99% confidence interval for the mean waste recycled per person per day for the population of california. assume the population is approximately normal. step 1 of 2 : find the critical value that should be used in constructing the confidence interval. round your answer to three decimal places.
Answers
The critical value that should be used in constructing the confidence interval is ( 1.592, 1.807 ).
Given that;
Number of residents, n = 7
Z*- value of 90% confidence level equals z* = 0.79
Mean x = 1.7 and deviation σ = 0.36
What is the standard deviation?
Standard deviation is calculated as the square root of variance by determining each data point's deviation relative to the mean.
Now,
Number of residents, n = 7
Z*- value of 90% confidence level equals z* = 0.79
Mean x = 1.7 and deviation σ = 0.36
The confidence interval for mean waste recycled per person is
[tex](x-z^{*} \frac{sigma}{\sqrt{n} } ; x+z^{*} \frac{sigma}{\sqrt{n} } )[/tex]
[tex](1.7 - 0.79*\frac{0.36}{\sqrt{7} } ; 1.7 + 0.79*\frac{0.36}{\sqrt{7} })[/tex]
[tex](1.592, 1.807)[/tex]
Hence, the critical value that should be used in constructing the confidence interval is ( 1.592, 1.807 ).
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the sum of three numbers is 111. the first number is less than the third. the second number is times the third. what are the numbers?
Answers
The first, second, and third numbers are 11, 80, and 20 respectively.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Let's say the first number is a second is b and the third one is c
Now,
The sum of the three numbers is 111
So,
a + b + c = 111
The first number is 9 less than the third
So.
a = c - 9
And the second number is 4 times third
So,
b = 4c
By substitution,
c - 9 + 4c + c = 111
c = 20
b = 4(20) = 80
a = 20 - 9 = 11
Hence "The first, second, and third numbers are 11, 80, and 20 respectively".
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The given question are incomplete , complete question is ;
The sum of the three numbers is 111. the first number is 9 less than the third. the second number is 4 times the third. what are the numbers?
on monday ramon bought 5 zip disks. two days later the price of the discs were decreased by 1.50 per disk. leticia bought ten disks at the sale price and paid 22 more than ramon paid for 5 disks. what was the original price of a disk
Answers
The original price of a zip disk is; $1.4
How to Solve Algebra Word Problems?Let cost of zip sticks bought by Ramon be x. Thus;
Cost that Ramon paid = 5x
Now, we are told that 2 days later the price increased by $1.5 per disc. Thus, new cost = x + 1.5
Leticia bought ten disks at the sale price and paid 22 more than ramon paid for 5 disks. Thus, equation here is;
10(x + 1.5) = 5x + 22
Expand the bracket to get;
10x + 15 = 5x + 22
10x - 5x = 22 - 15
5x = 7
x = 7/5
x = $1.4
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I need help and i WILL OFFER 100 POINTS and make you a BRAINLIEST or try
Answers
Answer:
782.5
Step-by-step explanation:
First off, we have to somewhat follow the order of PEMDAS.
1) Simplify the exponents
[tex]\frac{(7.3 * 1000000) + (2.4 * 10000000)}{(4 * 10000)}[/tex]
2) Multiply what's in the parenthesis
[tex]\frac{7,300,000 + 24,000,000}{40,000}[/tex]
3) Now we have to add what's on the top bracket
[tex]\frac{31,300,000}{40,000}[/tex]
4) After all the simplifying is done, we have to divide
31,300,000 ÷ 40,000 = 782.5
I hope this helped you :)
Step-by-step explanation:
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