Which statement is true for all functions f(x)?
A. The graph of f(x) + k is the graph of f(x) shifted left or right by | k | units
B. The graph of -f(x) is the graph f(x) reflected over the x-axis
C. The graph of f(kx) is the graph of f(x) shifted left or right by | k | units
D. The graph of -f(x) is the graph of f(x) reflected over the y-axis
Answers
The statement which is true for all the functions is The graph of -f(x) is the graph of f(x) reflected over the y-axis so, option D is correct.
What is the function?The function is a relationship between a set of potential outputs and a set of possible inputs, where each input has a single relationship with each output. This means that if an object x is present in the set of inputs (also known as the domain), then a function f will map that object to exactly one object f(x) in the set of potential outputs (called the co-domain).
A graph is a structure made up of a collection of things, where some object pairs are conceptually "connected."
Here, the function is f(x) so when we multiply it by the negative number then the graph will reflect over the axis,
Thus, The graph of -f(x) is the graph of f(x) reflected over the y-axis.
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Related Questions
pls help asap if you can!!!!
Answers
The statement that proves that angle XWY is equal to angle ZYW is
A. If two parallels are cut by a transverse, then alternate interior angles are congruent
What are alternate interior anglesAlternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.
When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.
In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles
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coin $a$ is tossed three times and coin $b$ is tossed two times. what is the probability that more heads are tossed using coin $a$ than using coin $b$? express your answer as a common fraction.
Answers
The probability that more heads are tossed using coin A than using coin B is \($\frac{7}{8}$\).
This is because there are 8 possible outcomes when both coins are tossed: (H, H), (H, T), (T, H), (T, T) for both coins A and B.
Out of these 8 possible outcomes, 7 of them have more heads from coin A than from coin B, so the probability is \(\frac{7}{8}\).
Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain to happen. Probability is used to measure the likelihood of uncertain events, such as the outcome of a coin flip or the result of a dice roll.
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A golf ball is hit into the air the path of the ball can be described by the equation h=55t-5t^2 where h is the height of the ball in meters and t is time in seconds
Answers
Hence time can be 0 to 11 sec when the ball is on the ground.It doesn't go that high.The max height is 123.75 meters, at t = 5.5 seconds.
Any object launched into space with only gravity acting on it is referred to as a projectile. Gravity is the main force affecting a projectile. This doesn't imply that other forces don't affect it; it merely means that their impact is far smaller than that of gravity. A projectile's trajectory is its route after being fired. A projectile is something that is launched or batted, as a baseball.
A golf ball is hit into the air the path of the ball can be described by the equation h=55t-5\(t^2\) where h is the height of the ball in meters and t is time in seconds,
When ball is on the ground h=0,
\(55t-5t^2=0\\\\t(55-5t)=0\)
t=0 and t=11
Hence time can be 0 to 11 sec when the ball is on the ground.
\(55t-5t^2=160\\11t-t^2-32=0\\t^2-11t+32=0\\t=\frac{(11 \ +-\sqrt{11^2-4*1*32}}{2}\\\\t=\frac{11+-\sqrt{7i^2}}{2}\\\\t=\frac{11-+7i}{2}\)
It doesn't go that high.
The max height is 123.75 meters, at t = 5.5 seconds.
The complete question is-
A golf ball is hit in the air. the path of the golf ball can be described by the equation h = 55t - 5t2, where h is the height of the ball in meters and t, is the time after how many seconds will the ball be in 160 high
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Robert earns $300 every week. What equation shows the relationship between salary per week (s), number of weeks worked (w), and total income (t).
Answers
Answer: The relationship between salary per week (s), number of weeks worked (w), and total income (t) is t = s * w.
Where t is the total income, s is the salary per week, and w is the number of weeks worked.
In Robert's case, s = $300, the equation would be t = $300 * w, where w is the number of weeks worked.
This equation shows that the total income (t) is directly proportional to the number of weeks worked (w) and the salary per week (s)
So, if Robert earns $300 every week, this equation would be t = $300 * w
Step-by-step explanation:
anyone know the answer ill mark u as brainlist
Answers
Answer:
your answer would be D
Step-by-step explanation:I really hope you get it right <3 : )
Answer:
D. 2 - x < -3
Step-by-step explanation:
If you insert -6 into the equation, the last answer would be correct
2 - 6 is less than -3
2 - 6 = -4
Which is less than -3
So D is correct
hello i need urgent help with this assignment.
Answers
Answer:
AD = 1 3/4y + 5/8x - 3
Step-by-step explanation:
AD = 1/4x + 2y + 3 - 1/4y + 3/8x - 6
combine like terms:
AD = 1 3/4y + 5/8x - 3
HELPPPPPPP PLEASEEEEE
Answers
Answer:
E
Step-by-step explanation:
Answer:
c plz mark brainliest.........
3 times the sum of a number and 2
3x + 3 + 2
3.6 - 2
O 3 (x + 2)
3x + 2
Answers
Answer:
3(x +2)
Step-by-step explanation:
If the number is represented by x, then "the sum of a number and 2" is ...
x + 2
Three times that sum is ...
3(x +2)
in a bag, there are 4 red shapes, 5 blue shapes, and 3 yellow shapes. there is one triangle, one square, and one circle in each group. there is 1 red and blue rectangle, and 1 blue hexagon. what is the probability of selecting a shape that is blue or a triangle?
Answers
Explanation:
The general addition rule is as follows: P(a or b) = P(a) + P(b) - P(a and b). In the context of this problem, the probability that selecting a shape that is blue is 5/12. The probability of selecting a triangle is 3/12. The probability that the shape is blue and a triangle is 1/12. If we substitute these values into the equation, we get P(B or T) = 5/12 + 3/12 - 1/12 = 7/12. We subtract the probability of the shape being blue and a triangle because we do not want to count a shape twice.
Subtract − 3 x 2 + 4 x + 10 −3x 2 +4x+10 from 2 x 2 − 2 x 2x 2 −2x.
Answers
Answer:
10+12x
Step-by-step explanation:
1. simplify both sides using PEMDAS.
(2 x 2) − ((2 x 2x) 2) −2x
4-8x-2x
4-10x
− (3 x 2) + 4x + 10 −(3x 2) +4x+10
-6+4x-6x+4x+20
2x+14
2. (2x+14)-(4-10x)= 10+12x
sorry if its rong it was kinda confusing finfing if it was an x or multiplecation.
guys, determine the equation of each line, given the information below:
Passing through the points D(2, 3) and E(-2, -4)
Answers
Answer:
The equation is;
4y = 7x + 2
Step-by-step explanation:
The general equation of a straight line is;
y = mx + b
where m is the slope and b is the y-intercept
m = (y2-y1)/(x2-x1)
(x1,y1) = (2,3)
(x2,y2) = (-2,-4)
m = (-4-3)/(-2-2) = -7/-4 = 7/4
So we have the equation as;
y = 7x/4 + b
To
get the value of b, we will substitute any of the points (let us use 2,3)
We simply substitute 2 for x and 3 for y
We have this as:
3= 7(2)/4 + b
3 = 7/2 + b
b = 3-7/2 = -1/2
So we have the equation as;
y = 7x/4 + 1/2
multiply through by 4
4y = 7x + 2
Jared had 5 chocolate bars left over from Halloween. During a party with 5 of his other friends, they shared the chocolate bars. How much of a chocolate bar did Jared and each of his friends get to eat?
Answers
Answer:
1 for each friend
Step-by-step explanation:
simplify
\( \sqrt{ - 3} \sqrt{ - 12} \)
please help me I've been stuck on this for ever
Answers
Answer:
36
Step-by-step explanation:
the square root of any negative value results in an imaginary number, 'i'
so, \(\sqrt{-3}\) = 3i and \(\sqrt{-12}\) is 12i
'i' is equal to -1
3(-1) x 12(-1) = 36
Una carrera ciclista de 180 kilometros se celebra en un circuito de 36 kilometros de longitud ¿cuantas vueltas deben dar los corredores al circuito?
Answers
Answer:
Los corredores deben dar 5 vueltas al circuito.
Step-by-step explanation:
En este caso, para saber cuantas vueltas deben dar los corredores al circuito, debes dividir los kilómetros totales de la carrera entre la longitud del circuito:
180/36=5
De acuerdo a esto, la respuesta es que los corredores deben dar 5 vueltas al circuito.
What is 8.478 in expanded form?
Answers
explanation: the 1000 expands form
The expanded form of the given number is 8×1+4×1/10×7×1/100+8×1/1000 (option c)
What is an expanded form of numbers?We break up a number according to its place value and expand it to show the value of each digit, this process is called the expansion of the numbers.
Given that, we are asked to find the expanded form of 8.478,
The expanded form is :-
8 = 1 place = 8×1
0.4 = 1/10 place = 4×1/10
0.07 = 1/100 place = 7×1/100
0.008 = 1/1000 place = 8×1/1000
Therefore,
8.478 = 8×1+4×1/10×7×1/100+8×1/1000
Hence, the expanded form of the given number is 8×1+4×1/10×7×1/100+8×1/1000 (option c)
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the number y of bacteria in a colony grows according to the differential equation dy/dt=0.06y. Which of the following is a possible formula for y? (A) y(t) = 0.06 (B) y(t) = 20.06 (C) y(t) = 0.06 (D) y(t) = 5e0.06 (E) None of these
Answers
the formula for y is y(t) = Ce^(0.06t), where C is a positive constant.
What is Equation?
In mathematics, an equation is a statement that asserts the equality of two expressions that are joined by the equal sign "=".
The differential equation dy/dt = 0.06y represents the growth of a bacterial colony, where y is the number of bacteria and t is the time. To find the formula for y, we need to solve this differential equation.
The given equation is separable, meaning we can separate the variables y and t on opposite sides of the equation:
dy/y = 0.06 dt
Integrating both sides, we have:
∫(1/y) dy = ∫0.06 dt
ln|y| = 0.06t + C
Here, C is the constant of integration. We can write it as ln|C|, where C > 0.
Now, exponentiating both sides, we get:
|y| = e^(0.06t + ln|C|)
Since y represents the number of bacteria, it cannot be negative. Therefore, we can drop the absolute value signs:
y = Ce^(0.06t)
So, the formula for y is y(t) = Ce^(0.06t), where C is a positive constant.
None of the given options (A) through (E) match this form exactly. However, option (D) y(t) = 5e^(0.06) is very close. It should be y(t) = Ce^(0.06t), so option (D) is the closest representation among the given options.
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What is the point-slope form of a line that has a slope of 5 and passes through the point 3/4 )? Y 3 5 x 4 )]?
Answers
The point-slope form of the line is y - (3/4) = 5(x - (3/4)).
The point-slope form of a line is written as y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line. To find the point-slope form of a line that has a slope of 5 and passes through the point (3/4, 3/4), we can plug in the values for the slope and the point into the point-slope formula. This gives us y - (3/4) = 5(x - (3/4)). This is the point-slope form of the line.
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Question stated in photo
Answers
Answer:
It goes the last option then the 2nd option the the first option.
central high school is competing against northern high school in a backgammon match. each school has three players, and the contest rules require that each player play two games against each of the other school's players. the match takes place in six rounds, with three games played simultaneously in each round. in how many different ways can the match be scheduled?
Answers
The match can be scheduled in 900 different ways with the help of permutations and combinations.
Given,
Number of players from each school = 3.
Let, the players of the first school be A, B, and C.
Let, the players of the second school be X, Y, and Z.
The problem can be solved in two cases,
Case-1
According to the question,
Each player from the first school has to play twice with each player from the second school.
We can organize the schedule into six different rounds, i.e.,
Round 1 : AX BY CZ
Round 2 : AX BZ CY
Round 3 : AY BX CZ
Round 4 : AY BZ CX
Round 5 : AZ BX CY
Round 6 : AZ BY CX
In other words, we have to permutate these 6 rounds, i.e., 6! = 720 ways.
Case-2
Given,
Three rounds are played simultaneously in each round.
(a)
Round 1 : AX BZ CY
Round 2 : AX BZ CY
Round 3 : AY BX CZ
Round 4 : AY BX CZ
Round 5 : AZ BY CX
Round 6 : AZ BY CX
(b)
Round 1 : AX BY CZ
Round 2 : AX BY CZ
Round 3 : AY BZ CX
Round 4 : AY BZ CX
Round 5 : AZ BX CY
Round 6 : AZ BX CY
The total number of permutations for Case-2 will be twice of 6! / (2! 2! 2!), which is equal to 90+ 90 = 180.
Thus, the total number of ways in which the match can be scheduled is 720 + 180 = 900.
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169.2 is what percent of 128? Round to the nearest thousandth.
Answers
Answer:
169.2 is 132.1875% of 128
Step-by-step explanation:
Consider the expression 8ab+3b+16-4a How many terms are there , How many factors are in the first term , which term is a constant ?
Answers
Answer:
First there are 4 terms. I think/believe that there are 3 factors in the first term. And the answer to the last question is 16 or term 3.
Step-by-step explanation:
I hope this helps, plz mark me as brainlyest anyways I hope you get a good score on your test!!
Answer:
a. There are 4 terms in the expression
b. There are 3 factors in the first term.
c. The constant is 16.
8ab + 3b + 16 - 4a
A term is any signed number, a variable, or a constant multiplied by a
variable or variables.
Therefore, the terms are 8ab, 3b, 16, and -4a. The terms are 4 in numbers.
The first term is 8ab .The first term has the factors 8 , a and b. This means the first term have 3 factors.
The term that is a constant is 16
Step-by-step explanation:
I'm stressing out can someone help!
Answers
Answer:
please like
Step-by-step explanation:
164-52=112
112÷8=14
so for a
the upper option
14w + 52(her savings) = 164 (bike cost)
for b
w=14
Answer:
xd nie powoem bo nie wiem xd xd xd xd xd xd x d
Solve logx (512) = 3
(base is x)
Show/Explain your thought process
need help asap please!
Answers
The value of the base of the logarithm is 8
What is logarithm of numbers?The logarithm is the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x. For example, since 1000 = 103, the logarithm base 10 of 1000 is 3, or log10 (1000) = 3. The logarithm of x to base b is denoted as logb (x),
for example If loga base x= y, then a= x^y
Similarly log(512) base x =3
where x is the base
then, 512= x³
multiply the power of both sides with ⅓
x^3×1/3 = 512^1/3
x= (8³)^1/3
x= 8
therefore the base of the logarithm is 8
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Look at picture pls and you can answer
Answers
Answer:
C) 81.49
Step-by-step explanation:
Use the order of operations
PEMDAS
8² ÷ 4 + 3.7(42.3 - 24.6)
Parentheses
8² ÷ 4 + 3.7(17.7)
Exponent
64 ÷ 4 + 3.7(17.7)
Multiplication
64 ÷ 4 + 65.49
Division
16 + 65.49
Addition
81.49
Answer: C.81.49
Step-by-step explanation:
64 ÷ 4 + 3.7 * （17.7）
64 ÷ 4 + 65.49
16 + 65.49
=81.49
i hope it help ：）ο(=•ω＜=)ρ⌒☆
the theatre has 4 chairs in a row. there are 5 rows. how many chairs are there in total.
Answers
Answer:
20
Step-by-step explanation:
1111 <--- 1st row
1111 <---- 2nd row
1111 <--- 3rd row
1111 <----- 4th row
1111 <----- 5th row
use multiplication
Given the expression below, what are the missing values, respectively?
x2 + 9x + 20 = (x + O) (x + O)
F. 4, 5
G. 2, 10
H. -4,1-5
J. 3, 3
Answers
Answer:
F.
Step-by-step explanation:
20=4*5
9=4+5
Which of the following could be an example of a function with a domain
(-∞0,00) and a range (-∞,4)? Check all that apply.
A. V = -(0.25)* - 4
-
□ B. V = − (0.25)*+4
c. V = (3)* +4
□ D. V = − (3)* — 4
-
Answers
The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4
A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.
From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.
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Factorise 6x – 4 please help!!
Answers
\(6x-4 = 2(3x-2)\)
Answer:
SolutioN :
The only thing you can do here to factorize 6x - 4 is take common :\( \boxed{\longrightarrow \tt 2(3x - 2)}\)
And we're done! :)------------ HappY LearninG <3 ------------
(a) A = = (b) A = 2 2 4 1 -2 -2 -7] -4
Answers
By multiplying matrices B and A, we obtain the product BA. Using BA, we can solve the system of equations y + 2z = 7, x - y = 3, and 2x + 3y + 4z = 17.the values of x, y, and z are -1, 2, and 1 respectively
To find the product BA, we multiply matrix B with matrix A. The resulting matrix will have the same number of rows as B and the same number of columns as A. The product BA will be used to solve the given system of equations.
The product BA can be computed by multiplying each row of matrix B by each column of matrix A and summing the results. The resulting matrix will be:
Now, we can use the product BA to solve the system of equations:
-10x - 10y + 6z = 7,
3x - 8y + 2z = 3,
-6x - 16y + 15z = 17.
1 -1 2
2 3 1
0 4 2
We can rewrite this system of equations as:
-10x - 10y + 6z = 7,
3x - 8y + 2z = 3,
-6x - 16y + 15z = 17.
By comparing the coefficients of x, y, and z in the system of equations with the entries in the matrix BA, we can determine the values of x, y, and z.
Solving the system of equations using matrix BA, we get:
x = -1,
y = 2,
z = 1.
Therefore, the values of x, y, and z are -1, 2, and 1 respectively.
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The complete question is:
Given A=
⎣2 2 -4|
|-4 2 -4|
|2 -1 5|
, B=
⎣1 -1 0|
⎢2 3 4|
⎢0 1 2|
, find BA and use this to solve the system of equations y+2z=7, x−y=3, 2x+3y+4z=17.
The lifespan of a car battery averages 5 years. Suppose the battery lifespan follows an exponential distribution. What is the probability that the battery lasts more than 3 years
Answers
The probability that battery lasts more than 3 years is \(e^{-0.6 }\).
Parameter of Exponential Distribution
It is given that the average lifespan of the car battery = 5 years
⇒ μ = 5
And, we have to find the probability that the car battery lasts more than 3 years.
Now, the relation between the parameter of exponential distribution, λ and average, μ is given as,
1/ λ = μ
⇒ λ = 1/5
Calculating the Probability
The probability for the car battery to lasts more than 3 years is given by P(N>3). Here, N is the lifespan of the car battery.
P(N>3) = 1 - P(N≤3)
P(N>3) = 1-F(4)
Here, F is the exponential distribution for the lifespan of the car battery.
P(N>3) = 1-(1-e^(-λn))
P(N>3) = \(e^{-3/5}\)
Thus, the required probability is,
P(N>3) = \(e^{-0.6 }\)
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