Answer:
A.
Step-by-step explanation:
Consider this function.
f(x) = |x – 4| + 6
If the domain is restricted to the portion of the graph with a positive slope, how are the domain and range of the function and its inverse related?
The domain of the inverse function will be y ≥ 6, and the range of the inverse function will be x > 4.
When the domain is restricted to the portion of the graph with a positive slope, it means that only the values of x that result in a positive slope will be considered.
In the given function, f(x) = |x – 4| + 6, the portion of the graph with a positive slope occurs when x > 4. Therefore, the domain of the function is x > 4.
The range of the function can be determined by analyzing the behavior of the absolute value function. Since the expression inside the absolute value is x - 4, the minimum value the absolute value can be is 0 when x = 4.
As x increases, the value of the absolute value function increases as well. Thus, the range of the function is y ≥ 6, because the lowest value the function can take is 6 when x = 4.
Now, let's consider the inverse function. The inverse of the function swaps the roles of x and y. Therefore, the domain and range of the inverse function will be the range and domain of the original function, respectively.
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Solve using elimination.
-4x + 5y = -6
-4x + 3y = -2
Answer:
(-1,-2) it said the answer needed to be longer so oendosjsoomkwk
1/5 of his allowance on a movie ticket and 1/4 of his allowance on a snack. PART A How much of his allowance did Nathan spend? Explain how you found your answer.
Find the slope that passes through 3,4 and 1,1
Answer:
3/2
Step-by-step explanation:
To find the slope between two points
m= ( y2-y1)/(x2-x1)
= (1-4)/(1-3)
= -3/-2
= 3/2
Answer:
\(\huge\boxed{m=\dfrac{3}{2}=1.5}\)
Step-by-step explanation:
The formula of a slope:
\(m=\dfrac{y_2-y_1}{x_2-x_1}\)
We have two points:
\((3,\ 4)\to x_1=3;\ y_1=4\\(1,\ 1)\to x_2=1;\ y_2=1\)
Substitute:
\(m=\dfrac{1-4}{1-3}=\dfrac{-3}{-2}=\dfrac{3}{2}=1.5\)
Find (g o f)(-1). *
f(x) = x2 + 2x – 3
g(x) = x - 5
O A. -11
OB.-4
Oc.o
O D.-9
Answer:
D -9
Step-by-step explanation:
(g o f)(-1) = g(f(-1))
f(-1) = \(f(-1) = (-1)^{2} + 2(-1) - 3\\= 1 - 2 - 3\\= -4\)
g(-4) = -4 - 5 = -9
So, (g o f)(-1) = -9
7.50x +4.50y = 2,212.5
x+y = 375
Answer:
5x+3y-1475=0
Step-by-step explanation:
if this helps please mark brainliest <3
quotient 2 divided by 2 3
Answer: 11.5
Step-by-step explanation:
What is the meaning of SSS similarity theorem?
The SSS Similarity Theorem states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are similar. This theorem is also known as the Side-Side-Side Similarity Theorem or the SSS Similarity Postulate.
What is the similarity theorem of triangles?
Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. Triangle similarity is indicated here by the symbol (~).
SSS or Side-Side-Side Similarity.
If all three sides of a triangle are in proportion to the three sides of another triangle, then the two triangles are similar.
Thus, if AB/XY = BC/YZ = AC/XZ then ΔABC ~ΔXYZ.
From this result, we can conclude that-
∠A = ∠X, ∠B = ∠Y and ∠C = ∠Z
Hence, we have described the SSS similarity theorem.
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Find the value of z.
Based on the triangle shown, what is the approximate value of Cos(20)?
Use exact fractions. To receive credit for this question, you must show your work.
3
5
e
The value of cos 2θ will be;
⇒ cos 2θ = 7/25
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The sides of triangle are 3 , 5, 4
Now,
Since, In a triangle;
cos 2θ = 2cos²θ - 1 .....(i)
And, cos θ = Base / Hypotenuse
Substitute all the values, we get;
cos θ = Base / Hypotenuse
cos θ = 4 / 5
Substitute above value in equation (i), we get;
cos 2θ = 2cos²θ - 1
cos 2θ = 2(4/5)² - 1
cos 2θ = 32/25 - 1
cos 2θ = 7/25
Thus, The value of cos 2θ will be;
⇒ cos 2θ = 7/25
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The scale of the map measures 1 inch : 1250 miles. if the distances between two cities measure 3 inches on the map, find the actual distance between the two city on the ground
Answer:
3,750 miles
Step-by-step explanation:
Because one inch is 1250 miles so time that by three you get 3,750
in a random sample of 310 cars driven at low altitudes, 41 of them exceeded a standard of 10 grams of particulate pollution per gallon of fuel consumed. in an independent random sample of 95 cars driven at high altitudes, 21 of them exceeded the standard. compute the test statistic for testing if the proportion of high-altitude vehicles exceeding the standard is greater than the proportion of low-altitude vehicles exceeding the standard.
For the random sample, the test statistic is -3.88.
The hypothesis to be tested can be expressed as follows:
H0: p1 ≤ p2, or equivalently p1 - p2 ≤ 0 (null hypothesis)
HA: p1 > p2, or equivalently p1 - p2 > 0 (alternative hypothesis)
where p1 is the true proportion of vehicles exceeding the pollution standard at low altitudes, and p2 is the true proportion of vehicles exceeding the pollution standard at high altitudes.
The test statistic to test this hypothesis is given by:
z = (p1 - p2) / sqrt(p(1 - p) * (1/n1 + 1/n2))
where p1 and p2 are the sample proportions of vehicles exceeding the pollution standard at low and high altitudes, respectively, p = (x1 + x2) / (n1 + n2) is the pooled sample proportion, x1 and x2 are the numbers of vehicles exceeding the pollution standard in the two samples, and n1 and n2 are the sample sizes.
For the given data, we have:
x1 = 41, n1 = 310, p1 = 41/310 ≈ 0.1323, x2 = 21, n2 = 95, p2 = 21/95 ≈ 0.2211, p = (x1 + x2) / (n1 + n2) ≈ (41 + 21) / (310 + 95) ≈ 0.1521
Substituting the values, we get:
z = (0.1323 - 0.2211) / sqrt(0.1521 * 0.8479 * (1/310 + 1/95))≈ -3.88
The test statistic is approximately -3.88.
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if the reference angle was . what are the angle in the 4 quadrants. make sure to explain how you get the angles.
Answer:
Step-by-step explanation:31542
d(n)d, left parenthesis, n, right parenthesis models the duration (in seconds) of the time it took for hailey to run her n^{th}n th n, start superscript, t, h, end superscript lap. nnn 333 777 999 d(n)d(n)d, left parenthesis, n, right parenthesis 858585 999999 110110110
The given expression, \(d(n)d(n)d(n)\), represents the duration in seconds for Hailey to run her \(n^{th}\) lap. The specific values provided, 333, 777, 999, correspond to the durations of the 3rd, 7th, and 9th laps, respectively. The values 858585, 999999, and 110110110 are unrelated and do not provide any additional information about lap durations.
The expression \(d(n)d(n)d(n)\) suggests that each lap duration is represented by the function \(d(n)\), where \(n\) denotes the lap number. The specific values given (333, 777, 999) correspond to the 3rd, 7th, and 9th laps, respectively. However, the remaining values (858585, 999999, 110110110) do not appear to have a direct connection to the lap durations or the function \(d(n)\).
Without further information or a specific pattern, it is difficult to interpret the significance of the remaining values. It's important to note that more context or information about the pattern or relationship between the values would be necessary to provide a more detailed explanation or analysis.
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Please help me anyone I need help with this question
Answer:
(d) 2x +y = 8
Step-by-step explanation:
The answer choices are shown in "standard form," so the comparison to the given equation is easier if it is written in standard form. Add 2x to both sides:
2x +y = 5 . . . . . . given equation in standard form
The other equation in a system with no solution will look like this, but will have a different constant:
2x +y = 8 . . . . . . does not intersect the given equation
_____
Additional comment
All of the other equations shown will intersect the given equation. One way to show this is to use the given equation to substitute for y in the answer choices:
a: 2x -(-2x+5) = 8 ⇒ 6x -5 = 8 . . . one solution: x=13/6
b: x +2(-2x+5) = 8 ⇒ -3x +10 = 8 . . . one solution: x=2/3
c: x -2(-2x+5) = 8 ⇒ 5x -10 = 8 . . . one solution: x=18/5
d: 2x +(-2x+5) = 8 ⇒ 5 = 8 . . . no solution
Using an integrating factor, solve y-y-5 CD- in the method for solving a first-order linear differential equation, the first step is to put the equation in the standard form y alty bit). is the given equation in the standard form? No Yes Identify a(t) and bit)
The value of a(t) is -1 and b(t) is 55 + \(e^t\)
No, the given equation y' - y = 55 + \(e^t\) is not in the standard form of a first-order linear differential equation.
In the method for solving a first-order linear differential equation, an integrating factor is a function used to transform the equation into a form that can be easily solved.
For an equation in the standard form y' + a(t)y = b(t), the integrating factor is defined as:
μ(t) = e^∫a(t)dt
To solve the equation, you multiply both sides of the equation by the integrating factor μ(t) and then simplify. This multiplication helps to make the left side of the equation integrable and simplifies the process of finding the solution.
To put it in standard form, we need to rewrite it as y' + a(t)y = b(t).
Comparing the given equation with the standard form, we can identify:
a(t) = -1
b(t) = 55 + \(e^t\)
Therefore, The value of a(t) is -1 and b(t) is 55 + \(e^t\)
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Can the following angle measures be the interior angles of a triangle: 29°, 29°, and 29° ? Justify your answer.
Answer:
No
Step-by-step explanation:
Angle measures of a triangle must add up to 180 and this only adds up to 87
how do you find the midpoint of a trapezoid ?
URGENT!!!! Will give brainliest :)
Which are the better statistics to use to compare the team scores?
Team A's scores
37 38 39
40 41 42
43
44
Team B's scores
45
46
47
4
37 38
39
40
41 42 43 44
45
46
47
A. Median and standard deviation
B. Mean and 1QR
C.Mean and standard deviation
D. Median and IQR
Answer: C.
Step-by-step explanation: The Answer is C. because mean and standard deviation can be used to find the average out of a group of numbers.
The Median and IQR are the better statistics to use to compare the team scores. The correct option is D.
What is statistics?Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data.
It involves using mathematical and computational tools to extract meaning from data and to make informed decisions based on that data.
When comparing team scores, it's critical to consider both the data's centre and spread.
In this instance, Team A has a median score of 41 and an IQR ranging from 39 to 43. The median score for Team B is 42, and their IQR ranges from 40 to 46.
When the medians and IQRs are compared, we can see that Team B has a slightly higher median score and a wider range of scores, ranging from 37 to 47. Team A, on the other hand, has a more narrow range of scores, ranging from 37 to 44.
Thus, the correct option is D.
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find the sum of the first 50 odd numbers
The owner of a tree farm plants pine trees and oak trees in a ratio of 8:3. How many oak trees are planted if 264 pine trees are planted
Answer:
99 oak trees
Step-by-step explanation:
Given data
Ratio= 8:3
Number of pine tree= 264
Let the number of oak trees be x
Let us apply the part to part method
8/264= 3/x
cross multiply
264*3= 8x
792=8x
x= 792/8
x=99 oak trees
The owner of the tree farm planted 99 oak trees.
An equation is an expression used to show the relationship between two or more numbers or variables.
Given that a farmer plants pine trees and oak trees in a ratio of 8:3. If 264 pine trees are planted, let y represent the total number of trees hence:
264 = (8/11) * y
y = 363 trees
Number of oak trees = (3/11) * 363 = 99 trees
Therefore the owner of the tree farm planted 99 oak trees.
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Assume that Y is nermaly distributed N(ψ, α
2
) Moving from the mean (μ)1.96 standard deviations to the left and 1.96 standard deviations to the right, then the area under the normal p. d.f. is: A. 0.05 B. 0.33 c. 0.67 b. 0.05
The area under the normal probability density function (p.d.f.) within 1.96 standard deviations of the mean on both sides is approximately 0.95.
In a normal distribution, the area under the p.d.f. curve represents probabilities. The area between the mean and 1.96 standard deviations to the left or right represents approximately 95% of the data. Since the normal distribution is symmetrical, we can split this area equally on both sides, resulting in approximately 0.475 (or 47.5%) on each side.
To calculate the total area, we add up the areas on both sides: 0.475 + 0.475 = 0.95. This means that 95% of the data falls within the range of 1.96 standard deviations from the mean. Consequently, the remaining 5% is distributed outside this range (2.5% to the left and 2.5% to the right). Therefore, the correct answer is A. 0.05, which corresponds to the area outside the range of 1.96 standard deviations from the mean.
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need an answer ASAP thanks
Answer:
z = -2
Step-by-step explanation:
First, use the Distributive property to Multiply 4*3z. Do the same to 4*5. You should now have 12z + 20 = -4
Next, you want to isolate the variable. To do that, start by Subtracting 20 from both sides of the equation sign. You should now have 12z = -24
Last, Divide each side by 12. You should now have z = -2
I hope this helps!
PLS HELP I WILL MARK BRAINLIST AND GIVE THANKS!!
Answer:
Only 4 I think, can I have branliest
Step-by-step explanation:
Answer:
i think its 4
Step-by-step explanation:pls mark branliest
suppose that a box contains 6 cameras and that 5 of them are defective. a sample of 2 cameras is selected at random ( without replacement). define the random variable x as the number of defective cameras in the sample. write the probability distribution for x .write your answer in fraction form or round to 3 decimal places.
If x is the number of defective cameras in the 2-size sample, that means that:
P(x = 0) = 0 (since there are no 2 cameras that can be selected without replacement that are not defective)
P(x = 1) = 5/15 = 1/3 (since there are 15 total ways to select a distinct sample and only 5 of these would have the non-defective one in them)
P(x = 2) = 10/15 = 2/3 (since there are 15 total ways to select a distinct sample and 10 of these would NOT have the non-defective one in them)
Given: If a child is at least 4 feet tall, then
he or she can ride the roller coaster. If a
child can reach the red bar, then the child
is at least 4 feet tall.
Which conjecture is valid by the Law of
Syllogism?
F if a child can reach the red bar, then
the child can ride the roller coaster,
G If a child is at least 4 feet tall, then
the child can reach the red bar.
H If a child can ride the roller coaster,
then the child is at least 4 feet tall.
J If a child can ride the roller coaster,
then the child can reach the red bar.
O
Answer:
F
Step-by-step explanation:
What is the measure of angle GXI?
Answer: is there supposed to be a picture for it?
The measure of ∠GXI is equal to 60°.
What is a radian?The radian is the unit of angle in the International System of Units and is the standard unit of angular measure used in many areas of mathematics
Given is the figure as shown.
We can write the measure of angle subtended by a single arc as -
α = 360°/12
α = 30° ... Eq{ 1 }
So, the measure of ∠GXI = 2α = 2 x 30° = 60°
∠GXI = 60°
Therefore, the measure of ∠GXI is equal to 60°.
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whats the answer?? I cant seem to get it.
Answer: 326.56
Step-by-step explanation: The simplified formula for the surface area of a cylinder is \(2\pi r(r+h)\). Solving this, you get 25.12 * 13, which equals 326.56
Answer:
326.56 cm^2
Step-by-step explanation:
A = 2pirh + 2pir^2
A = 2(3.14)(4)(9) + 2(3.14)(4^2)
A = 226.08 + 100.48
A = 326.56 cm^2
Make sure that units are the same before solving
Assume that demand for a commodity is represented by the equation
P = -2Q-2Q_d
Supply is represented by the equation
P = -5+3Q_1
where Q_d and Q_s are quantity demanded and quantity supplied, respectively, and Pis price
Instructions: Round your answer for price to 2 decimal places and enter your answer for quantity as a whole number Using the equilibrium condition Q_s = Q_d solve the equations to determine equilibrium price and equilibrium quantity
Equilibrium price = $[
Equilibrium quantity = units
The equilibrium price is $0 and the equilibrium quantity is 5 units.
To find the equilibrium price and quantity, we need to set the quantity demanded equal to the quantity supplied and solve for the equilibrium values.
Setting Q_d = Q_s, we can equate the equations for demand and supply:
-2Q - 2Q_d = -5 + 3Q_s
Since we know that Q_d = Q_s, we can substitute Q_s for Q_d:
-2Q - 2Q_s = -5 + 3Q_s
Now, let's solve for Q_s:
-2Q - 2Q_s = -5 + 3Q_s
Combine like terms:
-2Q - 2Q_s = 3Q_s - 5
Add 2Q_s to both sides:
-2Q = 5Q_s - 5
Add 2Q to both sides:
5Q_s - 2Q = 5
Factor out Q_s:
Q_s(5 - 2) = 5
Q_s(3) = 5
Q_s = 5/3
Now that we have the value for Q_s, we can substitute it back into either the demand or supply equation to find the equilibrium price. Let's use the supply equation:
P = -5 + 3Q_s
P = -5 + 3(5/3)
P = -5 + 5
P = 0
Therefore, the equilibrium price is $0 and the equilibrium quantity is 5 units.
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Rebecca carries a balance on her credit card each month. Today is the first day of the new. 28-day billing cycle. The current balance is x and the APR is 24%.
Rebecca is buying a friend an expensive gift that costs $1,400 that she plans to put on her credit card. This will be her only purchase this month. Sed she will be
making this purchase on the last day of the month. Part A if her finance charge will be $51 write and solve an equation to determine her current balance on her credit card show your work. Part B How much in finance charges can she save by making the purchase on the last day of the billing cycle
Part A: Rebecca's credit card balance can be calculated using the equation x = (51 - 1) 0.02 if her finance charge is $51.
Part B: By making the purchase on the final day of the billing cycle rather than the first day, Rebecca will be able to avoid paying $27 in finance charges.
How do equations work?
A mathematical statement proving the equality of values between two or more mathematical expressions is called an equation.
Equation symbols (=) are used to represent equations.
A finance charge is what?
The interest and other fees levied on credit cards are included in a finance charge.
Typically, the finance charge is based on a stated APR (annual percentage rate).
The month's billing cycle lasts for 28 days.
Balance at current starting = x.
APR = 24%, or annual percentage rate.
The monthly percentage rate (MPR) equals 2% (24% divided by 12).
The final day's purchase cost $1,400.
$51 is the total finance fee for the month.
($1,400 x 2% x 1/28) = $1 finance fee for the last-minute purchase.
$50 ($51 - $1) serves as the initial balance's finance charge.
The starting balance at this time is x = $2,500 ($50 x 2%).
Current Beginning Balance Equation: x = 51 - 1 0.02
($1,400 x 2%) Equals $28 in total loan charges for the last-minute purchase.
Finance charge savings from buying on the last day equals $27 ($28 - $1).
By buying the $1,400 gift for her friend on the last day of the billing cycle rather than the first, Rebecca can avoid paying $27 in finance charges.
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