If it is a line that does go through 0,0 then it is NOT PROPORTIONAL
HELP!!!!!!
The graph showsf(x)and its transformationg(x).
Which equation correctly modelsg(x)?
g(x)=(12)x+9+5
g(x)=(12)x−5+9
g(x)=(12)x−9+5
g(x)=(12)x+5+9
Answer:
its the second one
Step-by-step explanation:
Answer:
\(g(x)=(\frac{1}{2} )^x^-^9+5\)
Step-by-step explanation:
took the test and it said that was the answer
Meghan sells handmade sweaters and hats at her store. Let A represent the event that a randomly selected customer buys hat, and let B
represent the event that a randomly selected customer buys a sweater.
What does the notation P(AJB) represent in terms of the context?
A the probability that a customer buys a hat or a sweater
B the probability that a customer buys both a hat and a sweater
C the probability that a customer buys a hat given that the customer has bought a sweater
D the probability that a customer buys a sweater given that the customer has bought hat
Answer:
Step-by-step explanation:
C the probability that a customer buys a hat given that the customer has bought a sweater.
Expand each expression In 4y5/x2
Answer:
\(\ln 4 -2 \ln x +5 \ln y\)
Step-by-step explanation:
\(\ln \dfrac{4y^5}{x^2}\\\\=\ln(4y^5) - \ln(x^2)~~~~~~~~~~~;\left[ \log_b\left( \dfrac mn \right) = \log_b m - \llog_b n \right]\\\\=\ln 4 + \ln y^5 - 2\ln x~~~~~~~~~~~~;[\log_b m^n = n \log_b m ~\text{and}~\log_b(mn) = \log_b m + \log_b n ]\\\\=\ln 4 + 5 \ln y -2 \ln x\\\\=\ln 4 -2 \ln x +5 \ln y\)
Answer: Answer B
Step-by-step explanation: Let's begin
Answer: B in 4 - 2 in x + 5 in y
Do 5.8 and 5.08 have the same value? In a full sentence, explain why or why not?
Answer: 5.8 is correct
Step-by-step explanation: because 5.8 is bigger
which expression shows how the distribuive property can be used to multiply 8x29?
The expression which shows how the distributive property of the can be used to multiply 8×29 as in the task content is; 8(20 + 9).
Which expression can be used to show how the distributive property can help multiply 8×29?It follows from the task content that the given product to be multiplied is; 8×29.
Consequently, it follows from convention that the distributive property of multiplication allows that the multiplication in this case can be rewritten as follows;
8×29 = 8 (20 + 9)
Hence, we have; (8×20) + (8×9).
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I’m confused on what number 4 means. Can someone please help?
Answer:I think you can say like the most bought music in class B is alternative and the lowest one is classical and so on
Step-by-step explanation:
a dairy farmer is interested in knowing the true mean april 2023 retail whole milk price ($/gallon) for all us cities. previous studies have shown the standard deviation of the milk prices is $0.60. determine the number of cities that must be sampled in order to estimate the true mean within $.10 with 95% confidence.
The dairy farmer needs to sample at least 139 cities to estimate the true mean April 2023 retail whole milk price within $0.10 with 95% confidence.
To estimate the true mean April 2023 retail whole milk price with a margin of error of $0.10 and 95% confidence, a dairy farmer can use the sample size formula for estimating population means. The formula is:
n = (Z² × σ²) / E²
where n is the sample size, Z is the z-score corresponding to the desired confidence level, σ is the standard deviation of the population, and E is the margin of error.
For a 95% confidence level, the z-score (Z) is 1.96. The standard deviation (σ) of milk prices is $0.60, and the margin of error (E) is $0.10. Plugging these values into the formula, we get:
n = (1.96² × 0.60²) / 0.10²
n = (3.8416 × 0.36) / 0.01
n ≈ 138.56
Since the sample size must be a whole number, we round up to the nearest whole number to ensure the desired level of accuracy. Therefore, the dairy farmer needs to sample at least 139 cities to estimate the true mean April 2023 retail whole milk price within $0.10 with 95% confidence.
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find the area between a large loop and the enclosed small loop of the curve r = 2 + 4 cos(3θ).
Therefore, the area between the large loop and the small loop of the curve r = 2 + 4cos(3θ) is 70π/3.
To find the area between the large loop and the small loop of the curve, we need to find the points of intersection of the curve with itself.
Setting the equation of the curve equal to itself, we have:
2 + 4cos(3θ) = 2 + 4cos(3(θ + π))
Simplifying and solving for θ, we get:
cos(3θ) = -cos(3θ + 3π)
cos(3θ) + cos(3θ + 3π) = 0
Using the sum to product formula, we get:
2cos(3θ + 3π/2)cos(3π/2) = 0
cos(3θ + 3π/2) = 0
3θ + 3π/2 = π/2, 3π/2, 5π/2, 7π/2, ...
Solving for θ, we get:
θ = -π/6, -π/18, π/6, π/2, 5π/6, 7π/6, 3π/2, 11π/6
We can see that there are two small loops between θ = -π/6 and π/6, and two large loops between θ = π/6 and π/2, and between θ = 5π/6 and 7π/6.
To find the area between the large loop and the small loop, we need to integrate the area between the curve and the x-axis from θ = -π/6 to π/6, and subtract the area between the curve and the x-axis from θ = π/6 to π/2, and from θ = 5π/6 to 7π/6.
Using the formula for the area enclosed by a polar curve, we have:
A = 1/2 ∫[a,b] (r(θ))^2 dθ
where a and b are the angles of intersection.
For the small loops, we have:
A1 = 1/2 ∫[-π/6,π/6] (2 + 4cos(3θ))^2 dθ
Using trigonometric identities, we can simplify this to:
A1 = 1/2 ∫[-π/6,π/6] 20 + 16cos(6θ) + 8cos(3θ) dθ
Evaluating the integral, we get:
A1 = 10π/3
For the large loops, we have:
A2 = 1/2 (∫[π/6,π/2] (2 + 4cos(3θ))^2 dθ + ∫[5π/6,7π/6] (2 + 4cos(3θ))^2 dθ)
Using the same trigonometric identities, we can simplify this to:
A2 = 1/2 (∫[π/6,π/2] 20 + 16cos(6θ) + 8cos(3θ) dθ + ∫[5π/6,7π/6] 20 + 16cos(6θ) + 8cos(3θ) dθ)
Evaluating the integrals, we get:
A2 = 80π/3
Therefore, the area between the large loop and the small loop of the curve r = 2 + 4cos(3θ) is:
A = A2 - A1 = (80π/3) - (10π/3) = 70π/3
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Tell whether the rates are equivalent. 0.4 kilometer for every 15 minutes 0.6 kilometer for every 20 minutes
Answer:
no they are not equivalent
Step-by-step explanation:
0.4/15 = 0.026
so for every minute they travel 0.026km
0.6/20 = 0.03
so for every minute they travel 0.03km
so they are not the same/equivalent
can you guys solve it please i will give bonus if so
The dimension of the triangle whose perimeter is 18 feet will be 4 feet, 6 feet, and 10 feet.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The perimeter of the triangle is determined by adding together all of its sides.
Let 'x' be the first side of the triangle. Then the second and third sides of the triangle will be (x + 2) and (2 + x + 2). Then the equation is given as,
x + (x + 2) + (x + 2 + 2) = 18
3x + 6 = 18
3x = 12
x = 4
Then the dimension of the triangle will be given as,
x = 4
x + 2 = 4 + 2 = 6
x + 2 + 2 = 4 + 6 = 10
The dimension of the triangle whose perimeter is 18 feet will be 4 feet, 6 feet, and 10 feet.
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Terry spent $33.25 to have 475 fliers printed for his business. What was the cost of a single flier?
Answer:
Step-by-step explanation:
divide 33.25/475 and you'll get 7 cents per flier
select all statements below which are true for all invertible matrices and a. b. c. is invertible d. is invertible e. f.
The true statements for all invertible n×n matrices A and B are: B. A+A⁻¹ is invertible, C. (In+A)(In+A⁻¹)=2In+A+A⁻¹, F. AB=BA.
A. (A+B)² = A² + AB + BA + B². This equation is only true for certain matrices, and not all invertible matrices.
B. This statement is true for all invertible matrices A. The sum of an invertible matrix and its inverse is always invertible.
C. This statement is true for all invertible matrices A. It is a special case of the Sherman-Morrison formula.
D. This statement is not true for all invertible matrices A. For example, the matrix A = 0 is invertible, but A⁶ is not invertible.
E. This statement is not true for all invertible matrices A. For example, the matrix A = -1 is invertible, but (A+A⁻¹)⁹ = 2⁹ - 2⁷+ 2⁵ - 2³+ 2 = 506.
F. This statement is true for all invertible matrices A and B. It is known as the commutativity property of invertible matrices.
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Complete Question : Select all statements below which are true for all invertible n×n matrices A and B
A. (A+B)^2=A^2+B^2+2AB
B. A+A^−1 is invertible
C. (In+A)(In+A^−1)=2In+A+A^−1
D. A^6 is invertible
E. (A+A^-1)^9=A^9+A^−9
F. AB=BA
three coins are flipped 32 times. over these 32 trials, how many times would you expect to flip two heads and one tail?
Expected chances to flip two heads and one tail after flipping three coins 32 times. over these 32 trials are 8times.
What is possible outcomes ?" Possible outcomes is defined as the number of expected chances for given event to occur."
According to the question,
Total number of trials = 32
Possible outcomes for tossing 3 coins = { HHH, HHT, TTH, TTT}
Possible outcomes represents 4trials
Three coins are tossed 32 times times
32 = 4 × 8
Therefore, such sets occurs 8times.
Expected chances for {HHT} to occur in 32 trials = 8 times
Hence, expected chances to flip two heads and one tail after flipping three coins 32 times. over these 32 trials are 8times.
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Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 4 liters of natural oil for every 5 liters of synthetic oil. In order to make 855 liters
of Petrolyn oil, how many liters of natural oil are needed?
380 liters of natural oil is needed
How to calculate the amount of natural oil that is needed?
The ratio of natural oil to synthetic oil is 4:5
Total number of petrolyn oil is 855
4x + 5x= 855
9x= 855
x= 855/9
x= 95
The number of natural oil is 4x
= 4(95)
= 380
Hence the number of liters of natural oil that is needed is 380
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Approximately 45% of films are rated R if 850 films were recently rated how many were rated R
Answer:
382.5?????
Step-by-step explanation:
because 850×45% its that
Volume of a cube (cm') = width (cm) x height (cm) x length (cm). 1.1) Using the equation above, determine the volume of a cube that measures 3 cm wide, 3 cm tall, and 3 cm long. 1.2) Let's say this cube is made out of ice and has a mass of 24.76 grams (g). What is this ice cube's density? 1.3) The density of liquid water is slightly higher than that of frozen water ice. Liquid water's density at standard pressures and temperatures is 1.00 grams per cubic centimeter (g/cm'). Given that density, what is the mass of a cube of water measuring 3 cm wide, 3 cm tall, and 3 cm long? 1.4) Compare the weight of the water you calculated in question 1.3 with the weight of the ice of the same volume given in question 1.2. Which is heavier, the liquid water or the ice? Notice that the cube of water is the same size (or volume) as the cube of ice. 1.5) You know that ice floats on water. Explain why.
1.1) The volume of the cube is 27 cubic centimeters. 1.2)the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).
1.3) the mass of the water cube is 27 grams. 1.4) the weight of the water and the ice would be the same under the same conditions. 1.5)In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.
1.1) The volume of the cube can be calculated using the equation: Volume = width x height x length. In this case, the cube measures 3 cm wide, 3 cm tall, and 3 cm long, so the volume is:
Volume = 3 cm x 3 cm x 3 cm = 27 cm³.
Therefore, the volume of the cube is 27 cubic centimeters.
1.2) Density is defined as mass divided by volume. The mass of the ice cube is given as 24.76 grams, and we already determined the volume to be 27 cm³. Therefore, the density of the ice cube is:
Density = Mass / Volume = 24.76 g / 27 cm³ ≈ 0.917 g/cm³.
Therefore, the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).
1.3) The volume of the water cube is the same as the ice cube, which is 27 cm³. Given the density of liquid water as 1.00 g/cm³, we can calculate the mass of the water cube using the equation:
Mass = Density x Volume = 1.00 g/cm³ x 27 cm³ = 27 grams.
Therefore, the mass of the water cube is 27 grams.
1.4) The weight of an object depends on both its mass and the acceleration due to gravity. Since the volume of the water cube and the ice cube is the same (27 cm³), and the mass of the water cube (27 grams) is equal to the mass of the ice cube (24.76 grams), their weights would also be equal when measured in the same gravitational field.
Therefore, the weight of the water and the ice would be the same under the same conditions.
1.5) Ice floats on water because it is less dense than liquid water. The density of ice is lower than the density of water because the water molecules in the solid ice are arranged in a specific lattice structure with open spaces. This arrangement causes ice to have a lower density compared to liquid water, where the molecules are closer together.
When ice is placed in water, the denser water molecules exert an upward buoyant force on the less dense ice, causing it to float. The buoyant force is the result of the pressure difference between the top and bottom surfaces of the submerged object.
In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.
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How much would $125 invested at 8% interest compounded continuously be
worth after 16 years? Round your answer to the nearest cent.
A(t)= P*e^rt
Answer:
449.58
Step-by-step explanation:
125e^(0.08)(16)
use desmos scientific caclulator
PLEASE HELP!!
THE PHOTO IS DOWN BELOW!!!!!
Answer:
ulol pack you
Step-by-step explanation:
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write a compound inequality for the graph below
Your question is incomplete please provide exactly what graph you are talking about.
Let R(x, y) = (–x, –y) and T(x, y) = (x + 5, y + 1). Graph the transformation R(T(ABC )), where
A (–4, –2), B (–6, –7), and C (–2, –3).
The transformation will be R(T(ABC )), A" ( 1, 1), B"(1, 6) and C"(-3, 2).
What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
Given:
R(x, y) = (–x, –y) and T(x, y) = (x + 5, y + 1).
The coordinates are A (–4, –2), B (–6, –7), and C (–2, –3).
So, After the T rule the coordinates will be
A' ( -1, -1), B'(-1, -6) and C'(3, -2).
Also, the transformation will be R(T(ABC )),
A" ( 1, 1), B"(1, 6) and C"(-3, 2).
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PLEASE HELP NEED THIS NOW DUE IN AN HOUR!!
Write and simplify an expression to represent the perimeter of the triangle shown. What is the perimeter of the triangle if y equals 3 feet?
(Please show work)
The perimeter of the triangle if y equals 3 feet is 31 feet.
Given:
sides of the triangle are y+5, 4y-3 and 3y+5 feet.
y = 3 feet
Let a = y + 5 = 3+5 = 8.
so a = 8 feet.
b = 4y - 3
= 4*3 - 3
= 12 - 3
b = 9 feet.
c = 3y+5
= 3*3+5
= 9+5
c = 14 feet.
Perimeter of the triangle = a+b+c
= 8 + 9 + 14
= 17 + 14
= 31 feet.
Therefore the perimeter of the triangle if y equals 3 feet is 31 feet.
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based on historical data, it takes students an average of 48 minutes with a standard deviation of 15 minutes to complete the unit 5 test. what is the probability that your class of 20 students will have a mean completion time greater than 60 minutes on the unit 5 test?
Using central limit theorem, the probability that the class of 20 students will have a mean completion time greater than 60 minutes on the unit 5 test is 0.00017332
What is the probability that your class of 20 students will have a mean completion time greater than 60 minutes on the unit 5 test?We can use the Central Limit Theorem (CLT) to approximate the distribution of the sample mean completion time for the class. According to CLT, the distribution of the sample mean is approximately normal, with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.
In this case, the population mean is given as 48 minutes, the population standard deviation is given as 15 minutes, and the sample size is 20. Therefore, the mean of the sample mean completion time is also 48 minutes, and the standard deviation of the sample mean completion time is 15/√20 ≈ 3.3541 minutes.
To find the probability that the class mean completion time is greater than 60 minutes, we can standardize the distribution of the sample mean completion time using the z-score formula:
z = (x - μ) / (σ / √n)
where x is the value we want to find the probability for (in this case, x = 60), μ is the population mean, σ is the population standard deviation, and n is the sample size.
Plugging in the values, we get:
z = (60 - 48) / (15 / √20) = 3.5777
Using a standard normal distribution table (or calculator), we can find the probability that a z-score is greater than 3.5777.
P = 0.00017332
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On a coordinate plane, a curved line labeled f of x with a minimum value of (1.9, negative 5.7) and a maximum value of (0, 2), crosses the x-axis at (negative 0.7, 0), (0.76, 0), and (2.5, 0), and crosses the y-axis at (0, 2).
Which statement is true about the graphed function?
F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) > 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) < 0 over the intervals (-0.7, 0.76) and (2.5, ∞).
F(x) > 0 over the intervals (-0.7, 0.76) and (0.76, ∞).
As a result of answering the given question, we may state that As a graphs result, assertion 1 is the only true statement: F(x) 0 over the intervals (-, -0.7) and (0.76, 2.5).
What is graphs?Mathematicians use graphs to visually display or chart facts or values in order to express them coherently. A graph point usually represents a relationship between two or more things. A graph, a non-linear data structure, is made up of nodes (or vertices) and edges. Glue the nodes, also known as vertices, together. This graph includes V=1, 2, 3, 5, and E=1, 2, 1, 3, 2, 4, and (2.5). (3.5). (4.5). Statistical graphs (bar graphs, pie graphs, line graphs, and so on) are graphical representations of exponential growth. a logarithmic graph shaped like a triangle.
Based on the information provided, we can deduce that the graph of f(x) is a curved line that crosses the x-axis at (-0.7, 0), (0.76, 0), and (2.5, 0) and the y-axis at (-0.7, 0). (0, 2). Its minimum value is (1.9, -5.7), while its maximum value is (0, 2).
As a result, statement 1 is correct: f(x) 0 over the intervals (-, -0.7) and (0.76, 2.5).
The curve intersects the x-axis at (-0.7, 0), (0.76, 0), and (0.76, 0). (2.5, 0). That is, f(x) is negative between -0.7 and 0.76 and positive outside of that range. As a result, statements 3 and 4 are both untrue.
As a result, assertion 1 is the only true statement: F(x) 0 over the intervals (-, -0.7) and (0.76, 2.5).
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Solve −1/5x=6 (probably very easy but I zoned out and missed a lot)
Answer:
-30
Step-by-step explanation:
-1x/5 = 6
-x/5 = 6
-x = 30
x = -30
Determine the nonlinearity of a Boolean function f(x) = x1x2+x₁+x₂+1 over F2. Is f bent? Why? (15%)
The nonlinearity of the Boolean function f(x) = x1x2 + x₁ + x₂ + 1 over F2 is 2, and it is not bent.
To determine the nonlinearity of a Boolean function f(x) over F2, we need to calculate its Walsh-Hadamard transform and analyze its algebraic degree.
The Walsh-Hadamard transform of a Boolean function f(x) over F2 is given by the formula:
W(f)(a) = (-1)^(f(x) + a·x)
where a and x are binary vectors of the same length, and · represents the bitwise product (AND) operation.
For the given function f(x) = x1x2 + x₁ + x₂ + 1, we can calculate its Walsh-Hadamard transform as follows:
W(f)(0) = (-1)^(f(0) + 0·x) = (-1)^(0 + 0) = 1
W(f)(1) = (-1)^(f(0) + 1·x) = (-1)^(0 + x) = (-1)^x
Now, let's calculate the algebraic degree of f(x). The algebraic degree is the maximum degree of the terms in the algebraic normal form (ANF) of the function. In this case, the ANF of f(x) is:
f(x) = x1x2 + x₁ + x₂ + 1
The highest degree term is x1x2, which has a degree of 2. Therefore, the algebraic degree of f(x) is 2.
To determine if f(x) is bent, we need to compare its nonlinearity with the upper bound for bent functions. The upper bound for nonlinearity in F2 is 2^(n-1) - 2^(n/2 - 1), where n is the number of variables.
In this case, n = 2, so the upper bound for nonlinearity is 2^(2-1) - 2^(2/2 - 1) = 2 - 2^0 = 2 - 1 = 1.
If the nonlinearity of f(x) is equal to the upper bound, then the function is bent. Otherwise, it is not bent.
In our case, the nonlinearity of f(x) is 2, which is greater than the upper bound of 1. Therefore, f(x) is not bent.
In summary, the nonlinearity of the Boolean function f(x) = x1x2 + x₁ + x₂ + 1 over F2 is 2, and it is not bent.
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Explain why: x2 + 4 >= 4x for all real x.
Answer:
x² + 4 > 4x
x² - 4x + 4 > 0
(x - 2)² > 0 (true for all real x)
4
If f(x)=x-4 and g(x) = -2x² + 3, which polynomial is equivalent to g(f(x))?
A -2x² + 16x - 29
C-2x² - 1
B -2x²-16x +35
D -2x³ +8x² + 3x - 12
Answer: A. -2x² + 16x -29
Step-by-step explanation:
f(x) = x-4
g(x) = -2x² + 3
g(f(x)) = -2( x² + 16 -8x) + 3
= -2x² - 32 + 16x + 3
= -2x² + 16x -29
pls answer along with steps
Thanks
The angle ACB is tan⁻¹(80/a), the range of tan⁻¹(x) is (0, 90) and the time taken to reach the shore is a/30
Calculating the measure of ACBThe measure of ACB can be calculated using the following tangent trigonometry ratio
tan(ACB) = Opposite/Adjacent
So, we have
tan(β) = 80/a
Take the arc tan of both sides
So, we have
β = tan⁻¹(80/a)
So, the angle is tan⁻¹(80/a)
The range of tan⁻¹(x)Given that the angle is an acute angle
The range of tan⁻¹(x) for acute angles can be found by considering the values of the tangent function for angles between 0 and 90 degrees.
Since tan(0) = 0 and tan(90) is undefined, the tangent function takes on all positive values in this range.
So, the range of tan⁻¹(x) for acute angles is (0, 90) degrees.
The time taken to reach the shoreHere, we have
Distance = a
Speed = 30 km/h
The time taken to reach the shore can be calculated using the formula:
time = distance / speed
Substituting the given values, we get:
time = a / 30 km/h
Simplifying this expression, we get:
time = a / 30 hours
Therefore, the time taken to reach the shore is a/30 hours, where a is the distance to the shore in kilometers.
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pals fast what are amplitude, period, phase shift and midline for f(x)=-4 cos (3x-pi)+2
Answer:
amplitude = |-4| =4
period = 2 pi/3
phase shift = pi / 3
midline = 2
Step-by-step explanation:
f(x)=-4 cos (3x-pi)+2
The equation is in the form
f(x) = a cos (bx -c) +d where |a| is the amplitude
period is 2 pi /b
phase shift: c/b
midline = d
amplitude = |-4| =4
period = 2 pi/3
phase shift = pi / 3
midline = 2
I need help with part b and c pretty p please show your work so I can do this