The inverse of the function in slope-intercept form is f⁻(x) = -x/2 - 2
What is the inverse function?
A function that can change into another function is referred to as inverse. In other words, the inverse of any function "f" will take y to x if it takes x to y in the first place. If a function is written as "f" or "F," the inverse function is written as "f⁻" or "F⁻."
What is slope-intercept form?
The slope-intercept form of a straight line is used to find the equation of a line.
Here,
A function is given to us and we need to find the inverse of the function in slope-intercept form. The given function is,
f(x)= −2x−4
Let assume that y = f(x), then
y = -2x - 4
Now interchange the positions of x and y, and we get
x = -2y - 4
Solve this equation for y in terms of x,
Adding 4 on both sides, we get
x + 4 = -2y
After, dividing both sides by 2, we get
x/2 + 2 = -y
-x/2 - 2 = y
Now replace y with f⁻(x)
f⁻(x) = -x/2 - 2
Hence, the inverse of the function in slope-intercept form is f⁻(x) = -x/2 - 2
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x What does the figurative language in paragraph 2
help the reader understand about the pencil?
X
A The pencil is looking for its
eraser in the classroom
B The pencil longs for the day
when it gets another eraser
C The pencil is membering back
to when it had an eraser
D The pencil no longer has an
eraser on the end
The use of this figurative language helps to convey the theme of how memories can be fleeting and easily forgotten over time.
In paragraph 2, the author uses the figurative language of an "eraser on the end" to describe how time seems to fade away certain memories. The eraser is a symbol for forgetfulness, and the fact that it is on the end of something suggests that it is far away and difficult to reach.
This can be seen as a metaphor for how certain memories can become distant and hard to recall as time goes on.
Additionally, the eraser symbolizes how memories can be altered or erased entirely over time, much like how an eraser can remove pencil marks from paper.
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A science club is raising money by selling t-shirts. The cost of producing the t-shirts is a one time 550 dollar design and set up fee plus 12
dollars per shirt. If they sell the t-shirts for $17.50 each, what is the minimum number of t-shirts the club can order and still make a profit?
Answer: not sure
Step-by-step explanation:
Victor borrowed money at 5.25 percent simple annual interest. At the end of the year, the interest on the loan is $255.94. What was the amount of the loan? $13.44 $134.37 $1,343.69 $4,875.05
Answer: 4,875.05
Step-by-step explanation:
I took the quiz
Answer:
d
Step-by-step explanation:
Trong k gian vecto R^3 , cho hệ B={u(2,1,-1),v=(3,2,5) , w=(1,-1,m)} a)xác định giá trị m để B là một cơ sở k gian R^3
Answer:
Dhhdhdhgdgdgd djjdhdhdhfh dbdjhdhfv djjdhfhhb is a hdhdh yhvggfff tghrh9
A stock market broker lists a stock with an expected growth of 9.84% and a margin of error of £ 1.08%. What is the minimum expected growth percent for that stock?
Given
A stock market broker lists a stock with an expected growth of 9.84% and a margin of error of £ 1.08%. What is the minimum expected growth percent for that stock?
Solution
\(\begin{gathered} \text{Expected value range =9.84}\pm1.08 \\ \text{minimum =9.84-}1.08=\text{ 8.76} \\ Maximum\text{ = 9.84+}1.08=10.92 \\ \therefore\text{The minimum expected =E 8.76\%} \end{gathered}\)The final answer
The minimum expected is 8.76% Euros
Using a standard deck of cards, what is the probability you will
select a spade, then a red card?
a) with replacement:
b) without replacement:
a) With replacement:
When selecting a card with replacement, it means that after each selection, the card is returned to the deck before the next selection. Since each selection is independent, the probability of selecting a spade and then a red card can be calculated by multiplying the individual probabilities.
Probability of selecting a spade: There are 13 spades in a standard deck of 52 cards, so the probability of selecting a spade is 13/52.
Probability of selecting a red card: There are 26 red cards (13 hearts and 13 diamonds) in a standard deck of 52 cards, so the probability of selecting a red card is 26/52.
To find the probability of selecting a spade and then a red card, we multiply the probabilities:
P(spade, then red with replacement) = (13/52) * (26/52) = 338/2704 ≈ 0.125.
b) Without replacement:
When selecting cards without replacement, it means that the card is not returned to the deck after each selection. This affects the probability calculation since the size of the deck changes with each selection.
Probability of selecting a spade: There are 13 spades in a standard deck of 52 cards, so the probability of selecting a spade on the first draw is 13/52.
Probability of selecting a red card: After selecting a spade, there are 51 cards remaining, out of which 26 are red. So the probability of selecting a red card on the second draw, without replacement, is 26/51.
To find the probability of selecting a spade and then a red card without replacement, we multiply the probabilities:
P(spade, then red without replacement) = (13/52) * (26/51) ≈ 0.127.
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The midpoints of the sides of a triangle are located at (a, 0),(2 a, b) and (a, b). If one vertex is located at the origin, what are the coondinates of the other vertices? Explain your neasoning.
The coordinates of the other vertices are (2a, 2b) and (2a. 0) after using the mid-point theorem.
What is the triangle?In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
From the data, we can draw a triangle as shown in the attached picture.
Let the coordination of B is at (0, 0)
The coordinate of point A:
A(x, y):
a = (x + 0)/2
x = 2a
y = 2b
A(x, y): (2a, 2b)
The coordinate of point C:
C(X, Y):
2a = (X + 2a)/2
4a = X + 2a
X = 2a
b = (Y + 2b)/2
Y = 0
Thus, the coordinates of the other vertices are (2a, 2b) and (2a. 0) after using the mid-point theorem.
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in the solow model, if f(k) = 2 k0.5, s = 0.25, n = 0.1, and d = 0.4, what is the value of k at equilibrium
The value of k at equilibrium is 1.
In the Solow model, the equilibrium level of capital per worker (k*) occurs when the change in capital per worker is zero. This can be found by setting the investment per worker equal to the effective depreciation.
Given that the production function is f(k) = 2k^0.5, the saving rate is s = 0.25, the population growth rate is n = 0.1, and the depreciation rate is d = 0.4, we can find the equilibrium value of k as follows:
Step 1: Calculate investment per worker (I)
I = s * f(k) = 0.25 * 2k^0.5 = 0.5k^0.5
Step 2: Calculate effective depreciation per worker (Dep)
Dep = (n + d) * k = (0.1 + 0.4) * k = 0.5k
Step 3: Set investment per worker equal to effective depreciation per worker to find the equilibrium value of k
0.5k^0.5 = 0.5k
Step 4: Solve for k
Divide both sides by 0.5:
k^0.5 = k
Square both sides:
k = k^2
Rearrange the equation to solve for k:
k^2 - k = 0
k(k - 1) = 0
There are two possible solutions for k: k = 0 and k = 1. However, k = 0 is not a meaningful solution in the context of the Solow model, so the equilibrium value of k is:
k* = 1
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find the area please
Kiran is going to invest in an account paying an interest rate of 5.3% compounded daily. How much would Kiran need to invest, to the nearest dollar, for the value of the account to reach $138,000 in 12 years?
Answer:
Step-by-step explanation:
Answer = 73,061
There are 65 ounces of flour in the bag how many pounds is 65 ounces
Answer:
4.0625 lbs
Step-by-step explanation:
16 ounces per pound
Divide 65 by 16 to get your answer
Answer:
4 1/16 pound
Step-by-step explanation:
One pound is 16 ounces.
65/16 = 4 1/16 pounds.
PQ has endpoints P(5, -3) and Q(2, 4).
Midpoint:
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The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below the question.
Which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation?
A. 82/3.28
B. 4/3.28
C. 4/0.68
D. 82/0.68
Answer:
B.
Step-by-step explanation:
Answer:
B.
StartFraction 4 over 3.28 EndFraction
Step-by-step explanation:
in a recent study, the centers for disease control and prevention reported that diastolic blood pressures of adult women in the united states are approximately normally distributed with mean 80.2 mmhg and a standard deviation of 9.6 mmhg. round the answers to four decimal places. a diastolic blood pressure greater than 90 mmhg is classified as hypertension (high blood pressure). what proportion of women have hypertension?
The area to the right of the z-score 0.0833 is approximately 0.4671
To calculate the proportion of women with hypertension (diastolic blood pressure greater than 90 mmHg), we can use the standard normal distribution.
Given:
Mean (μ) = 80.2 mmHg
Standard deviation (σ) = 9.6 mmHg
We need to calculate the z-score for the threshold value of 90 mmHg, and then find the area under the standard normal curve beyond that z-score.
The z-score formula is:
z = (x - μ) / σ
Plugging in the values:
z = (90 - 80.2) / 9.6
z = 0.8 / 9.6
z ≈ 0.0833
Using a standard normal distribution table or a calculator, we can find the area to the right of this z-score, which represents the proportion of women with diastolic blood pressure greater than 90 mmHg.
The area to the right of the z-score 0.0833 is approximately 0.4671.
Therefore, approximately 0.4671 (or 46.71%) of women have hypertension (diastolic blood pressure greater than 90 mmHg).
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PLS HELP ME
XXXXXXXXX
Answer:
1
Step-by-step explanation:
To find the median number of musical instruments played, we first need to arrange the data in ascending order:
0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 3
Next, we count the total number of responses, which is 15. Since 15 is an odd number, the median will be the average of the middle value.
The middle value is 1
Hence, the median number of musical instruments played is 1.
Find each product:
7. (-7)(-7)
8. -15(9)
9.(8)(-12)
10. -3(-100)
11. 0(-153)
12. -6(32)
Answer:
7. 49
8. -135
9. -96
10. 300
11. 0
12. -192
. assume that the box contains 5 balls: 3 green, 1 white, and 1 red. balls are drawn in succession without replacement, and their colors are noted until a green ball is drawn.
(a)white, green, green, green, blue or green, white, green, green, blue, green, green, white, green, blue, or a green, green, green, white
(b)14 outcomes.
What is sample space?There are many situations where we cannot forecast the results with certainty, but we can always state all the possible outcomes, such as when we toss a coin or roll a die. We refer to these occurrences as random phenomena or random experiments. These kinds of random events or experiments typically include probability theory. What, though, is a sample space? A sample space for the experiment is a collection of all such potential outcomes. In other terms, the sample space, which is typically represented by the letter S, is the collection or set of potential outcomes in a random experiment. When doing a random experiment, the sample space is represented.
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___ + 142 + 308 = 450
Answer:
it would be 0 cause 142 and 308 already equal 450
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
450 - (142 + 308) = 0. ) is the answer.
Hope it helps!
How many 1/8's are in 1/2 inch?
A.
8.
B
6
c
4
D
3
Answer:
C
Step-by-step explanation:
Solve the equation :
7:x=2:3
Answer:
x=8
Step-by-step explanation:
Since 7-2 is 5, that means that both sides are increasing by 5.
3+5 = 8 so therefore 8 =x
Which group of ordered pairs are on the line giving by the equation 5x-2y=6
Answer:
There are an infinite number of pairs.
Step-by-step explanation:
You can solve the equation by isolating y on one side.
1. Subtract 5x from both sides
=
-2y = 6 - 5x
2. Get rid of the -2 on y to isolate y. Divide both sides by -2.
=
y = (6-5x)/2 or: y = -2.5x + 3
3. You can then put any x value into the equation and solve for an ordered pair.
EXAMPLE:
x = 0
1. y = -2.5(0) + 3
2. y = 0 + 3 or y = 3
You could then put it into an ordered pair. The x value goes first (0, y) and then the y value (0, 3), so your answer is really just ARL (all real numbers)
Define P(n) to be the assertion that:
n(n1)(2n 1)πΣε6j=1
(a)Verify that P(3) is true.
(b)Express P(k).
(c)Express P(k + 1).
(d)In an inductive proof that for every positive integer n,
=n(n+1)(2n 1)6j=1
what must be proven in the base case?
(e)In an inductive proof that for every positive integer n,п(п + 1)(2n + 1)6j=1
what must be proven in the inductive step?
(f)What would be the inductive hypothesis in the inductive step from your previous answer?
(g) Prove by induction that for any positive integer n,
п(п + 1)(2n + 1)j=1
The assertion that which shows that P(k + 1) is true provided Pk in the Inductive step is true. Moreover, P(1) is also true. Hence, by induction principle, we can say that P(n) is true for all positive integer n.
What is Integer?
A zero, a positive natural number, or a negative integer with a minus sign is an integer. The negative numbers are the additive inverses of their positive counterparts.
Given that P(n) be the assertion
∑j² = n (n+1)(2n+1)/6
(a) For n = 3, we get
∑j² = 1² + 2²+3² =14
= 3(3+1)(6+1)/6
=14
Hence, P(3) is true.
(b) Expression for P(k) may take the form
∑j² = k (k+1)(2k+1)/6
(c) Expression for P(k + 1) may take the form
∑j² = (k+1) (k+2)(2k+3)/6
(d)Base case:
In base case, we must prove that P(1) is true.
(e) To prove P(n) will be true for every positive integer n, we need to prove that P(k + 1) is true in the inductive step, where k is a positive integer.
(f) In the Inductive step, the Inductive hypothesis is that Pk is true for positive integer k.
(g)Base case:
a) For n=1, we get
RHS= 1(1+1)(2+1)/6
=1
Hence, P(1) is true.
Inductive hypothesis:
Assume P(k) is true:
∑j² = k (k+1)(2k+1)/6
Inductive step:
Now,
∑j² = k (k+1)(2k+1)/6 +(K+1)²
which shows that P(k + 1) is true provided P(k) in the Inductive step is true. Moreover, P(1) is also true. Hence, by induction principle, we can say that P(n) is true for all positive integer n.
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EASY LOOKING FOR ANSWER HELP
Answer:
I forgot the answer
Step-by-step explanation:
3.2*10^8, 1.2*10^8, 7*10^5, 5*10^3
Sarah purchased 8kg of sugar, 10kg of
flour, 500g of cocoa, 225g of pecans,
and 275g of coconut. How much do all
her groceries weigh in kilograms?
The total weight is 18.5 kilograms
GIVING BRAINLIEST PLEASE HELP!!!
Answer:
52° is correct answer of this question
hope it helps
thanks for free points
Step-by-step explanation:
option a.
38°+x=90°
x=90°-38°
x=52°
Work out the area of the shape after it has been enlarged by scale factor 2.
State the units of your answer
Answer:
The area of the now-enlarged shape quadruples. The units are the same; square units.
Step-by-step explanation:
The diagram of the structure isn't provided. But, we can work on a generalized principle for enlargement or reduction.
When a shape is enlarged by a scale factor of 2, it means all of its lengths are increased according to that scale facfor (doubled).
Whatever the shape of the figure was, by enlarging it by a scale factor of 2, all of its dimensions become doubled, and as area is a product of dimensions, two dimensions to be precise, the Area of the object increases by a scale of 4.
For example, if the shape was a rectangle.
A = L × B
When enlarged, new L = 2L, new B = 2B
new Area = new L × new B = 2L × 2B = 4LB = 4 × old area.
A circle
A = πr²
When enlarged, new R = 2r
new Area = π(new R)² = π(2r)² = 4πr² = 4 × old area.
Whatever the original shape was, when it is enlarged by a scale factor of 2, the Area if the new enlarged shape is quadruple of the Area of the old shape.
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Which algebraic expression is equivalent to this expression?
5(3x+2)+18
Answer:
15x+28
Step-by-step explanation:
15x+10+18
15x+28
Jane mixes 3 gallons of red paint (r) for every 6 gallons of blue paint (b). Write one equations that show the relationship between red paint and blue paint. Use lower case r and b (NO SPACES)
Answer:
umm 9 gallons i think
Step-by-step explanation:
Write an expression for the sequence of operations described below.
the product of the quotient of y and 7 and the sum of 4 and 9
Do not simplify any part of the expression.
Answer:
(y/7)x(4+9)
Step-by-step explanation:
statement one y/7
statement two 4+9
(y/7)x(4+7)
practice using stokes’ theorem by evaluating the following line integrals. we can use stokes’ theorem because these are work integrals around loops in r3. (a) let c be the piecewise curve from (0,0,0) to (2,0,4
To evaluate the line integral using Stokes' theorem, we consider the piecewise curve C from (0,0,0) to (2,0,4). Stokes' theorem allows us to convert the line integral into a surface integral by taking the curl of the vector field over the surface bounded by the curve C.
To evaluate the line integral using Stokes' theorem, we start by calculating the curl of the vector field over the surface bounded by curve C. Let's denote the vector field as F and find its curl (denoted as ∇ × F). Once we have the curl, we can convert the line integral into a surface integral using Stokes' theorem.
In this case, the given curve C is a piecewise curve from (0,0,0) to (2,0,4). We need to find the curl of the vector field over the surface bounded by C. Once we have the curl, we evaluate the surface integral by integrating the dot product of the curl and the surface normal vector over the surface bounded by C.
This will give us the result of the line integral using Stokes' theorem. It's important to note that further details, such as the specific vector field and the surface over which the integral is evaluated, are needed to provide a complete and accurate evaluation of the line integral using Stokes' theorem in this particular case.
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