The inverse of the function f(x) = x + 2 is found by swapping the variables and solving for y, resulting in f^-1(x) = x - 2.
Explanation:The function f(x) = x + 2 is a simple linear function in Mathematics. The inverse of any function can be found by swapping the x and the y, and then solving for y. In this case, step-by-step, it would work like this:
Swap x and y to get x = y + 2.Solve for y by subtracting 2 from both sides to get y = x - 2.So the inverse of the function f(x) = x + 2 is f^-1(x) = x - 2.
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The inverse of the function f(x) = x + 2 is found by switching the roles of x and y and solving for y, resulting in the inverse function h(x) = x - 2. None of the provided options is correct.
Explanation:To determine the inverse of the function f(x) = x + 2, you need to first replace f(x) with y, resulting in the equation y = x + 2. Next, swap x and y to get x = y + 2. Solve for y to find the inverse function: y = x - 2. Therefore, none of the options provided is the correct inverse of the function f(x) = x + 2. The correct inverse is h(x) = x - 2.
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help me please ASAP!!!!!!!!!!!!!!!!!!!!
Which will result in a perfect square trinomial (3x-5) (-3x-5)?
Answer:
-9x² + 25
Step-by-step explanation:
To solve, use FOIL. FOIL:
First
Outside
Inside
Last
Solve "First":
(3x)(-3x) = -9x²
Solve "Outside":
(3x)(-5) = -15x
Solve "Inside":
(-5)(-3x) = +15x
Solve "Last":
(-5)(-5) = +25
Combine like terms:
-9x² - 15x + 15x + 25
-9x² (-15x + 15x) + 25
-9x² + 25
-9x² + 25 is your answer.
~
This is for Algebra 2 and I need help ASAP! 22pts if you show work and explanation
Describe and correct the error in solving the equation.
Answer:
Part 41) The solutions are 3 and 1
Part 42) The solution is 2 only
Step-by-step explanation:
Part 41) we have
[tex]\left|5x-9\right|=x+3[/tex]
step 1
Find the first solution (case positive)
[tex]+(5x-9)=x+3[/tex]
[tex]5x-x=3+9[/tex]
[tex]4x=12[/tex]
[tex]x=3[/tex]
step 2
Find the second solution (case negative)
[tex]-(5x-9)=x+3[/tex]
[tex]-5x+9=x+3[/tex]
[tex]5x+x=9-3[/tex]
[tex]6x=6[/tex]
[tex]x=1[/tex]
therefore
The negative case was resolved incorrectly
The solutions are 3 and 1
Part 42) we have
[tex]\left|n-7\right|=3n-1[/tex]
step 1
Find the first solution (case positive)
[tex]+(n-7)=3n-1[/tex]
[tex]3n-n=-7+1[/tex]
[tex]2n=-6[/tex]
[tex]n=-3[/tex]
Verify
For n=-3
substitute
[tex]\left|-3-7\right|=3(-3)-1[/tex]
[tex]\left|-10\right|=-9-1[/tex]
[tex]10=-10[/tex] ------> is not true
therefore
[tex]n=-3[/tex] -------> is not a solution
step 2
Find the second solution (case negative)
[tex]-(n-7)=3n-1[/tex]
[tex]-n+7=3n-1[/tex]
[tex]3n+n=7+1[/tex]
[tex]4n=8[/tex]
[tex]n=2[/tex]
therefore
The solution is 2
A local coffee store is curious about the size beverages their customers are ordering. The beverages come in three sizes: small, medium, and large. An employee runs a simulation of 15 random outcomes using the values 1, 2, and 3 to represent small, medium, and large, respectively. What is the simulated probability that a customer will order the small beverage? 2 2 3 1 1 2 2 3 1 1 3 2 1 1 3
Answer:
2 out of 5 or 6 out of 15
Step-by-step explanation:
In this pattern, there is two people ordering it every five times. You can write it out as 6/15 or simplify it as 2/5 (six-fifteenths and two-fifths)
The simulated probability that a customer will order the small beverage is:
[tex]\dfrac{2}{5}=0.4[/tex]
Step-by-step explanation:The 1, 2, and 3 to represent small, medium, and large, respectively.
The simulation is as follows:
2 2 3 1 1 2 2 3 1 1 3 2 1 1 3
There are a total outcomes= 15
Also, the number of outcomes that the customer will order small beverage is: 6
( Since, 6 times such that 1 has occurred.
As 1 represent the simulation that the beverage comes in small size )
Hence, the simulated probability is:
[tex]\dfrac{6}{15}=\dfrac{2}{5}=0.4[/tex]
Verify each trigonometric equation by substituting identities to match the right hand side of the equation to the left hand side of the equation
4. sine of x divided by one minus cosine of x + sine of x divided by one minus cosine of x = 2 csc x
(sin x)/(1-cosx) + sinx/(1-cosx) =
2 csc x
We have like denominators.
Just add the numerators.
(2 sin x)/(1 - cos x) = 2 csc x
[1/(1 - cos x)](2 sin x) = 2 csc x
Take it from here.
Answer:
a ) sin x ( \frac{sinx}{cosx}*cosx- \frac{cosx}{sinx}+*cos x)= \\ sinx(sinx- \frac{cos^{2} x}{sin^{2} x})= sin^{2}x-cos^{2} x=1-cos^{2}x-cos^{2} x= \\ 1-2cos^{2}x
b ) 1 + \frac{1}{cos^{2} x} *sin^{2} x=1+ \frac{sin^{2} x}{cos^{2} x} = \\ \frac{cos {2} x+sin x^{2} x}{cos^{2} x} = \frac{1}{cos^{2} x} =sec^{2} x
c) \frac{sinx}{1-cosx} + \frac{sinx}{1+cosx}= \frac{sin x ( 1+cosx)+sinx(1-cosx)}{1-cos^{2} x} = \\ \frac{sinx+sinxcosx+sinx-sinxcosxx}{1-cos^{2}x }= \\ \frac{2sinx}{sin^{2} x} = \frac{2}{sinx}=2 csc x
d) -tan ^{2}x+sec ^{2}x=- \frac{sin ^{2} x}{cos ^{2} x} + \frac{1}{cos^{2} x} = \\ \frac{1-sin^{2x} }{cos ^{2}x }= \frac{cos^{2} x}{cos^{2}x } =1
Step-by-step explanation:
Given the equation y − 4 = three fourths(x + 8) in point-slope form, identify the equation of the same line in standard form.
−three fourthsx + y = 10
3x − 4y = −40
y = three fourthsx + 12
y = three fourthsx + 10
Answer:
[tex]3x-4y=-40[/tex]
Step-by-step explanation:
The standard form of a linear equation is [tex]ax+by=c[/tex].
The given line has equation:
[tex]y-4=\frac{3}{4}(x+8)[/tex]
This is the point-slope form of the given line.
To find the standard form, we clear the fraction
[tex]4y-16=3(x+8)[/tex]
We expand the parenthesis now to get:
[tex]4y-16=3x+24[/tex]
We group the variables on the LHS and the constants on the RHS.
[tex]4y-3x=24+16[/tex]
[tex]-3x+4y=40[/tex]
Multiply through by -1
[tex]3x-4y=-40[/tex]
This is of the form: [tex]ax+by=c[/tex].
Using the graph as your guide, complete the following statement.
The discriminant of the function is
Answer:
Option C. positive
Step-by-step explanation:
we know that
If the discriminant of a quadratic function is positive, then the quadratic function has two real solutions
If the discriminant of a quadratic function is zero, then the quadratic function has one real solution
If the discriminant of a quadratic function is negative, then the quadratic function has two complex solutions
In this problem
The quadratic function has two real solutions (x-intercepts)
therefore
The discriminant is positive
Answer: Option C: Positive
Step-by-step explanation: Answer for Apex
Find the solution of this system of equations -2x=2+y , -6x-y=-2
Answer:
x = 1 and y = -4
Step-by-step explanation:
It is given that,
-2x = 2 + y
-2x - y = 2 ---(1)
-6x - y = -2 ----(2)
To find the solution of equations
Step 1: Subtract eq(2) from eq(1)
-2x - y = 2 ---(1)
-6x - y = -2 ----(2)
4x + 0 = 4
x = 4/4 = 1
Step 2: Substitute the value of x in eq (1)
-2x - y = 2 ---(1)
-2*1 - y = 2
-2 - y = 2
y = -2 - 2 = -4
Therefore x = 1 and y = -4
Need help ASAP I tried to do the problem but I don't know how
Answer:
see below
Step-by-step explanation:
(a) the graph is symmetrical about the horizontal axis. It has a maximum value of r = 3 at θ = π.
__
(b) The graph is symmetrical about both the horizontal and the vertical axis. It has a maximum value of r = 1 at θ = 0 and θ = π. (Note this curve has subtle differences from the inner loop of the above curve.)
_____
About how
As with any graphing problem, when doing it by hand, one chooses enough points to give the general shape of the curve. In some cases, quite a few points may be required. It is often helpful to use a spreadsheet for calculating the point values. Here, we've graphed the equations using "technology"--a graphing calculator.
Please help me with this math question
ANSWER
[tex]x = 54\degree[/tex]
EXPLANATION
The diameter meets the tangent to the circle at right angles.
The sum of interior angles of a triangle is 180°.
This implies that
[tex]x + 36 \degree + 90 \degree = 180 \degree[/tex]
Group the constant terms
[tex]x = 180 \degree - 36 \degree - 90 \degree[/tex]
We simplify to obtain,
[tex]x = 54\degree[/tex]
Which rule describes the composition of transformations that maps ?DEF to ?D''E''F''? R0,90° ? T5,0(x, y) T–5,0 ? R0,90°(x, y) T5,0 ? R0,90°(x, y) R0,90°(x, y) ? T–5,0
Answer:
B. T–5,0 ∘ R0,90°(x, y)
Step-by-step explanation:
Just took Quiz.
Transformation involves changing the size and position of a shape.
The transformation rule from DEF to D"E"F is [tex]\mathbf{(b)\ T-5,0 \circ R0,90^o(x, y)}}[/tex]
From the complete question (see attachment), we have the following observations.
DEF is first rotated 90 degrees counterclockwiseThen translated to the left by 5 unitsThe 90 degrees counterclockwise rotation is represented as:
[tex]\mathbf{R0,90^o(x, y)}[/tex]
The left translation by 5 units is represented as:
[tex]\mathbf{T-5,0(x, y)}[/tex]
When both transformations are combined, we have:
[tex]\mathbf{T-5,0 \circ R0,90^o(x, y)}}[/tex]
Hence, the transformation rule from DEF to D"E"F is [tex]\mathbf{(b)\ T-5,0 \circ R0,90^o(x, y)}}[/tex]
Read more about transformations at:
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Triangle PQR is translated by the rule (x − 1, y − 1) and then dilated by a scale factor of 3 centered at the origin. Which statement describes the properties of triangles PQR and P''Q''R'' after the transformations? ∠P and ∠P'' are congruent after the translation, but not after the dilation. ∠P and ∠P'' are congruent after the dilation, but not after the translation. segment PQ and segment P double prime Q double prime are congruent after the translation, but not after the dilation. segment PQ and segment P double prime Q double prime are congruent after the dilation, but not after the translation
Answer:
segment PQ and segment P double prime Q double prime are congruent after the translation, but not after the dilation
Step-by-step explanation:
Translation and dilation have no effect on angles. All angles are congruent after either or both of translation and dilation.
Translation has no effect on size, so segments are congruent after translation. Dilation changes size, so segments are not congruent after dilation.
___
Comment on the problem wording
Ordinarily, the first transformation (translation) would result in figure P'Q'R', so P'Q' would be congruent to PQ. Then the second transformation (dilation) would change figure P'Q'R' to figure P''Q'' R'', which is no longer congruent to either figure P'Q'R' or figure PQR.
That is, talking about "segment P double prime Q double prime ... after the translation, but not the dilation" makes no sense, because there is no such segment. The segment that exists after the translation, but not the dilation, is segment P'Q'.
Answer:
line PQ and line P double prime Q double prime are congruent after the translation, but not after the dilation
Step-by-step explanation:
Simplify.
(WILL GIVE BRAINLIEST)
Answer:
[tex]\frac{\sqrt{x} }{2x}[/tex]
Step-by-step explanation:
Rationalize the denominator first (keep in mind we are NOT solving this because there is no equals sign here. We are merely simplifying.)
[tex]\frac{\sqrt{5x} }{x\sqrt{20} } *\frac{\sqrt{20} }{\sqrt{20} } =\frac{\sqrt{100x} }{20x}[/tex]
Now simplify by taking the square root of 100 to get:
[tex]\frac{10\sqrt{x} }{20x}[/tex]
Divide numerator and denomiator by 10 to get:
[tex]\frac{\sqrt{x} }{2x}[/tex]
What is obtained by squaring the standard deviation?
Variance
Step-by-step explanation:The standard deviation is related to the variance. The standard deviation measures the variation or dispersion of a set of data and is represented by the Greek letter sigma [tex]\sigma[/tex], while the variance measures how far a set of numbers are spread out from their average value. The variance is obtained by squaring the standard deviation, so the variance can be found as [tex]\sigma^{2}[/tex]
Two farmers pay a total rent of $140 for a pasture. The first farmer placed $4 oxen in the pasture, and the second farmer placed $30 sheep in the pasture. The farmers split the rent based on the proportion of the pasture eaten by their own animals that month. How much should the first farmer pay, if 1 ox eats as much as 10 sheep in a month?
given that 1 ox eats as much as 10 sheep:
4 oxen = 40 sheep
therefore,
first farmer: the equivalent of 40 sheep
second farmer: 30 sheep
that means 30+40 = 70 animals eating
$140 ÷ 70 = $2
so it is $2 per eat
2 x 40 = $80 for the first farmer's oxen
2 x 30 = $60 for the second farmer's sheep
Answer:
$80
Step-by-step explanation:
Since if 1 ox is equal to 10 sheep, then the first farmer posesses the equivalent of 40 sheep. With 70 sheep in total, then one sheep is worth 2 dollars. The first farmer has a total of 4 oxen, equivalent to 40 sheep. 40 times 2 is 80, so the answer is 80 dollars
Kira looked through online census information to determine the average number of people living in the homes in her city. What is true about Kira's data collection? Kira used an observational study where the data is qualitative. Kira used an observational study where the data is quantitative. Kira used published data that is qualitative. Kira used published data that is quantitative.
Answer:
Kira used published data that is quantitative
Step-by-step explanation:
Online census data is published data. It is numerical by nature, hence quantitative.
Answer:
Kira used published data that is quantitative.
Step-by-step explanation:
Firstly, we need to identify if the data is qualitative or quantitative.
The data is average number of people living in the homes.
Qualitative data as its name indicates is an attribute or characteristic. It can not be measured e.g color. Quantitative data is such a data which can be counted or measured.
Since the average number of people can be counted and measured, the data is Quantitative.
In an observational study the individuals are observed. In the given case, Kira did not observed the individuals to gather the data, rather she used an Online resource to gather the data.
Therefore, the correct answer will be:
Kira used published data that is quantitative.
Which algebraic expression represents “the quotient of 7 and a number”?
Answer:
7/x or x/7 i believe
Step-by-step explanation:
I'm relearning them so hope i helped you!
Answer:
[tex]\frac{7}{x}[/tex]
Step-by-step explanation:
Let x represent the number.
We are supposed to write an expression for our given statement.
We have been given that the quotient of 7 and a number. This means that 7 is divided by the number 'x'.
We can represent this information in an expression as:
[tex]\frac{7}{x}[/tex]
Therefore, our required expression would be [tex]\frac{7}{x}[/tex].
If m∠A = m∠B and m∠A + m∠C = ∠D, then
m∠B + m∠C = ∠D.Which property is shown?
A) reflexive property
B) substitution property
C) symmetric property
Answer: substitution
Step-by-step explanation:
edge 2022
When comparing the functions which conclusion can be made
Answer:
Probably the one you have selected.
Step-by-step explanation:
This is a bad question because the domain of f(x) is not restricted, but the domain of its inverse is restricted to x >= 4. I would say you guessed correctly.
Answer:
The answer is C. The domain of f(x) is restricted to x is less than or equal to 0, and the domain of F^-1(x) is restricted to x is greater than or equal to 0.
Step-by-step explanation:
I got it right on edgenuity. :)
Which of these is not a typical application of investors money
Product improvement
Expansion
Employee salaries
Vacations
Vacations are not a typical application of investors' money as they do not contribute to future profitability or growth of a business, unlike product improvement, expansion, or employee salaries.
Explanation:The question asks about a typical application of investors' money which is not common. Of the options provided, vacations would not be a typical application of investor funds. Investors typically allocate capital to a business with the expectation of earning future profits.
Common expenses that may constitute investment in a firm include product improvement, expansion, and even employee salaries, as these are directly related to the operations and growth potential of the business.
Capital invested in the business is expected to generate future income and growth, through means such as buying long-term assets like machinery, building new plants, or initiating research and development projects. It's unlikely that investors would find vacations a viable investment category as it generally does not contribute to the future profitability or growth of a business enterprise.
PLEASE HELP ME!!
Which of these could you find on a credit report? Check all that apply. previous address current employer highest level of education completed bankruptcy and a civil court case monthly income late credit card payments
Answer:
previous address,current employer,bankruptcy and civil court case,late credit card payments.
Step-by-step explanation: you are welcome
Answer:
Previous addressCurrent employerBankruptcy and civil court case Late credit card payments.Step-by-step explanation:
Given information;
Which of these can we find on a credit report.
From the given options one can find following information from a credit report:
Previous addressCurrent employerBankruptcy and civil court case Late credit card payments.For more information visit:
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Tom jugs three fifth mile on Monday and to 6 mile on Tuesday how much farther did Tom jog on Monday, then on Tuesday.
Write the slope-intercept form of the equations
x=-3
and
x=5
Step-by-step explanation:
The slope-intercept form of an euqtion of a line:
y = mx + b
m - slope
b - y-intercept
x = a (a - any real number)
It's the equation of a vertical line. A vertical line has an undefined slope. They also do not have a y-intercept, because they run parallel to the y axis.
Therefore given equations can not write in the slope-intercept form.
Select the correct answer
Diane wants to maintain a record of percent change in sales from the year 2000 to the present year. She enters the values of percent change in sales
and the total percentage change in sales through the years in a spreadsheet. Which tab on the Format Cells dialog box will enable her to display the
total percentage symbol in the spreadsheet?
A
Alignment
B. Numbers
c.
Background
D.
Font
Reset
Next
The number tab allows percentage symbol in the spreadsheet which corresponds to option B.
To display the total percentage symbol in the spreadsheet, Diane should select the Numbers tab in the Format Cells dialog box. This tab allows her to customize the display of numbers and apply percentage formatting.
Drawing five cards from a standard deck has how many possible outcomes and why?
Answer:
Step-by-step explanation:
Lots, even if you make this a combination problem. I'm going to treat it as a permutation first and then we'll look into a combination.
52 P 5 is the same thing as a counting problem
The first card drawn is 1 of 52
The second one drawn is 1 of 51
The third one drawn is 1 of 50
The 4th one drawn is 1 of 49
The 5 one drawn is 1 of 48
The answer you should get is 311 875 200
=====================
If your calculator does this then you should put in 52P5 and it will give you the possible outcomes. Remember the question asks you the number of outcomes not the probability.
=====================
The above number treats the order as different.
So 12345 is not the same as drawing 12354.
Those 2 sets of cards are counted as 2 not one.
I believe this to be the best answer.
======================
But if order does not matter, and you want 1 2 3 4 5 to be the same thing as 1 2 3 5 4 the problem is a combination problem. Ignoring the suits the answer is
52 C 5
which is 52 * 51 * 50 * 49 * 48 / 5! = 2598960
======================
I don't know how far into the course you are but the actual answer would have to account for the suits. This solution assumes that the actual card drawn remains upside down, that is, if it is the king of hearts, you don't know it.
Please help me with this math question
Answer:
Required probability = 1/6
Step-by-step explanation:
It is given that,
A red die is tossed the a green die is tossed
The possible outcomes of getting number greater than three when tossing red die are, 4, 5, and 6
The probability of tossing red die = 3/6
The possible outcomes of getting number less than three when tossing green die are 1 and 2
Probability of tossing green = 2/6
To find the required probability
Probability of getting red die shows greater than three and gree die shows less than three = (3/6)*(2/6) = 1/6
which is the equation for C E
Answer:
im not sure
Step-by-step explanation:
simplify. -3x = 50
a. -150
b. 150
c. 16 2/3
d. -16 2/3
Answer:
[tex]\large\boxed{d.\ -16\dfrac{2}{3}}[/tex]
Step-by-step explanation:
[tex]-3x=50\qquad\text{divide both sides by (-3)}\\\\\dfrac{-3x}{-3}=\dfrac{50}{-3}\\\\x=-16\dfrac{2}{3}[/tex]
look ate the picture down below, and please help me i would really appreciate it
Answer:
46°
Step-by-step explanation:
When secants intersect each other and a circle, the external angle (A) is half the difference of the intercepted arcs:
∠A = (arcDC -arcBC)/2
12° = (arcDC -22°)/2 . . . . . . . fill in the given numbers
24° = arcDC -22° . . . . . . . . . multiply by 2
46° = arcDC . . . . . . . . . . . . . add 22°
The sum of two consecutive numbers is 31. Let x = the smaller number. Which let statement would you use for the larger number?
Answer:
Let (x+1) = the larger number
Step-by-step explanation:
Two consecutive numbers differ by 1. The larger is 1 more than the smaller. The expression for 1 more than x is (x+1).