Answers
If h(x) = f(–x), this is saying that your graph will be reflected over the y-axis. In other words, the x-values of every point on the graph of y=f(x) will be switched to the opposite sign. The graph will be flipped over sideways.
For example, if (1,-4) is a point on y=f(x), then y=h(x) will have (–1,-4) on it.
If h(x) = –f(x), this is saying that your graph will be reflected over the x-axis. In other words, the y-values of every point on the graph of y=f(x) will be switched to the opposite sign. The graph will be flipped upside-down.
For example, if (1,–4) is a point on y=f(x), then y=h(x) will have (1,4) on it.
While you are given the equation for f(x) in each exercise, the function f(x) does not impact the transformation at all. What is said above is true for all functions.
If you want to graph them, then for 4:
f(x) = -3 - x
h(x) = f(-x) = -3 + x
For #5:
f(x) = 1/3 x + 1
h(x) = -f(x) = -1/3 x - 1
Related Questions
100 Points! Algebra question. Photo attached. Please show as much work as possible. Thank you!
Answers
The missing angles are m ∠1 = 53° and m ∠k = 12°.
Given that are two circles we need to find the missing measures,
Using the concept of intersecting chords angles,
When two chords intersect inside a circle, the angle between the chords is half the sum of the intercepted arcs.
And,
When two chords intersect outside a circle, the angle between the chords is half the difference of the intercepted arcs.
So,
a) m ∠1 = 1/2 [arc LP + arc RQ]
m ∠1 = 1/2 [50°+56°]
m ∠1 = 1/2 × 106°
m ∠1 = 53°
b) m ∠k = 1/2 [arc MJ - arc LR]
arc LR = 360° - [72° + 100° + 140°]
arc LR = 48°
So,
m ∠k = 1/2 [72° - 48°]
m ∠k = 12°
Hence the missing angles are m ∠1 = 53° and m ∠k = 12°.
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A circle is inscribed inside a square of a side length of 10 cm. What is the area inside the square and outside the circle
Answers
Answer:
The figure is omitted--please sketch it to confirm my answer.
[tex]\pi {(5 \sqrt{2}) }^{2} - {10}^{2} [/tex]
[tex]50\pi - 100 = 50(\pi - 2) = 57.08[/tex]
The area inside the square and outside the circle is about 57.08 cm^2.
Which statements are true regarding the expression below? Choose three answers. 8 ^-1. 8 ^-3. 8
Answers
The statements that are true regarding the expression with the exponents -1, -3, and 1 are;
An equivalent expression is 8⁷·8⁻¹⁰The sum of the exponent is -3The value of the expression is 1/512What is an exponent?An exponent is a quantity or power to which a value, expression or number is to be raised.
The specified expression can be presented as follows;
8⁻¹ × 8⁻³ × 8
Therefore; 8⁻¹ × 8⁻³ × 8 = 8⁽⁻¹ ⁺ ⁻³ ⁺ ¹⁾ = 8⁻³ = 1/8³
The sum of the exponent is; -1 + (-3) + 1 = -31/8³ = 1/512
Therefore, the value of the expression is; 1/512Similarly, we get; 8⁷ × 8⁻¹⁰ = 8⁽⁷ ⁻ ¹⁰⁾ = 8⁻³ = 1/8³
Therefore, 8⁷ × 8⁻¹⁰ and 8⁻¹ × 8⁻³ × 8 are equivalent expressionsLearn more on exponents here: https://brainly.com/question/29831670
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Identify the axis of symmetry, vertex, and range for the quadratic function.
Answers
The revenue in dollars of a shoe store is modeled by the expression -4.1x² + 9x + 1,325 where x is the number of shoes sold. The cost of selling the shoes is modeled by the expression -10.1x² - 9.6x +10,000. What simplified expression models the profit in
dollars of the company as a function of x?
Answers
The sound emitted from the jet plane has a sound intensity of approximately 149.13 decibels.
How to find determine the expression models the profit in dollars of the company as a function of xUsing the formula:
D = 10 * log(I/I0),
where D represents the sound intensity in decibels, I is the given sound intensity, and I0 is the reference intensity of 10^-12 watts per square meter.
Substituting the given values:
D = 10 * log(8.2*10^2 / 10^-12).
To simplify the calculation, we can rewrite the division as multiplication by the reciprocal:
D = 10 * log(8.2*10^2 * 10^12).
Using the logarithm property log(a * b) = log(a) + log(b):
D = 10 * (log(8.2) + log(10^2) + log(10^12)).
Using the logarithm property log(a^b) = b * log(a):
D = 10 * (log(8.2) + 2 * log(10) + 12 * log(10)).
Since log(10) = 1:
D = 10 * (log(8.2) + 2 + 12).
D = 10 * (log(8.2) + 14).
Using a calculator or logarithm table, we can find log(8.2) ≈ 0.913.
D = 10 * (0.913 + 14).
D = 10 * 14.913.
D ≈ 149.13.
Therefore, the sound emitted from the jet plane has a sound intensity of approximately 149.13 decibels.
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287 megabytes downloaded if 14.4% complete how many are downloaded? Round to nearest tenth
Answers
Answer:
To find out how many megabytes have been downloaded, we can multiply 287 by 0.144 (which represents 14.4% as a decimal).
The calculation is:
287 x 0.144 = 41.328
Rounded to the nearest tenth, the number of megabytes downloaded is 41.3.
Erica bought a road bike using the store’s payment plan. She made a $320 down payment and makes monthly payments of $91. If the total cost is $1,867, how many months will Erica be paying for the bike?
Answers
$1,867 - $320 = $1,547
Each month, Erica pays $91 towards the cost of the bike. To find out how many months she will be paying, we need to divide the remaining cost by the monthly payment:
$1,547 ÷ $91/month ≈ 17 months
So Erica will be paying for the bike for approximately 17 months.
Answer: 17 months
Step-by-step explanation:
Total cost of the bike = $1,867
Down payment = $320
so $1,867 - $320 = $1,547
$91 * 17 = 1,547
(17 = months) so $91 * 17 months = 1,547
A wagon is pulled with a force of 80 pounds by a handle that
makes an angle of 20° with the horizontal.
A
What is the horizontal component of the force correct to the
nearest tenth?
27.4
B
75.2
80
20°
C
76.2
D 76.4
Answers
Explanation:
The horizontal component is found using cos fxn
80 x cos 20 = 75.2 pounds
given the function f(x)=logbase2(X), find the y-intercept of g(x) = f(x+4)+8
Answers
The y-intercept of f(x + 4) + 8 is given as follows:
10.
What is a translation?A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.
The four translation rules for functions are defined as follows:
Translation left a units: f(x + a).Translation right a units: f(x - a).Translation up a units: f(x) + a.Translation down a units: f(x) - a.The parent function for this problem is given as follows:
[tex]f(x) = \log_2{x}[/tex]
The translated function is then given as follows:
[tex]g(x) = \log_2{x + 4} + 8[/tex]
The y-intercept of the function is the numeric value at x = 0, hence:
[tex]g(0) = \log_2{0 + 4} + 8[/tex]
g(0) = 2 + 8 = 10.
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A dinner theater has fixed costs of $1,000 per day. It costs the dinner theater $10 per person for food and a
ticket to the dinner theater costs $30. How many tickets does the dinner theater have to sell in order to break
even?
50 tickets
O 10 tickets
O 100 tickets
O20 tickets
Answers
What is the correct order of the functions from least to greatest according to the average rate of
change on the interval from x=-1 to x-3? (2 points)
Answers
The correct option is the second one, the order is:
g(x), f(x), h(x).
How to find the rates of change?To find the rate of change for a function f(x) on an interval [a, b] we need to get:
R = (f(b) - f(a))/(b - a)
Here the interval is [-1, 3]
The first function is:
f(x)= (x + 3)² - 2
Evaluating we get:
f(-1) = (-1 + 3)² - 2
f(-1) = 2² - 2 = 4 -2 = 2
and f(3) = (3 + 3)² - 2 = 34
Then the rate is:
R = (34 - 2)/(3 + 1) = 8
For g(x) we can use the graph, we have:
R = (0 + 2)/4 = 1/2
For the last function we need to use the table, then we will get:
R = (62 - 14)/(3 + 1) = 12
Then the order, from least to greatest is:
g(x), f(x), h(x).
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Calling card A charges a connect fee of 69¢ plus 1.9¢ perminute. Calling card B has no connect fee but charges 6¢ perminute.
Which system of equations can be used to determine the number of minutes (x) where the price (y) is the same for both cards?
Answers
Answer:
16.829 minutes
Step-by-step explanation:
To solve this problem, we need to set up a system of equations based on the given information. Let's define the variables:
Let x be the number of minutes.
Let y be the price in cents.
For calling card A, the price can be calculated using the formula: y = 69 + 1.9x
For calling card B, the price can be calculated using the formula: y = 6x
We want to find the number of minutes (x) where the price (y) is the same for both cards. To set up the system of equations, we equate the two expressions for y:
69 + 1.9x = 6x
Now, we can solve this equation to find the value of x, which represents the number of minutes where the prices are equal.
69 + 1.9x = 6x
To simplify the equation, we can subtract 1.9x from both sides:
69 = 6x - 1.9x
Combining like terms, we have:
69 = 4.1x
To isolate x, we divide both sides of the equation by 4.1:
69 / 4.1 = x
Simplifying the division gives us:
16.829 = x
Therefore, the number of minutes (x) where the price (y) is the same for both calling cards A and B is approximately 16.829 minutes.
Hope this helps!
Answer:
For calling card A: y = 0.019x + 0.69
For calling card B: y = 0.06x
Step-by-step explanation:
For calling card A: y = 0.019x + 0.69
For calling card B: y = 0.06x
Set the prices equal to each other to find when they are the same:
0.019x + 0.69 = 0.06x
Simplify and solve for x:
0.041x = 0.69
x = 16.83 (rounded to two decimal places)
Therefore, if a person expects to talk for 16.83 minutes or more, calling card A will be cheaper. If they expect to talk for less than 16.83 minutes, calling card B will be cheaper.
Angles A and B are supplementary. Determine the measure of angle A if the measure of angle B is 113.8°.
Answers
Answer:
m<A = 66.2°
Step-by-step explanation:
m<A + m<B = 180°
m<B = 113.8°
m<A + 113.8° = 180°
m<A = 180° - 113.8°
m<A = 66.2°
An office 8.5m long and 6.3m wide is to be carpeted to leave a surrounding 60 cm wide around the carpet, what is (a) the area of the office (b) the area of the carpet (c) the area of the surrounding
Answers
(a) The area of the office is 53.55 meters square.
(b) The area of the Carpet would be 52.6656 meters square.
(c) The area of the surrounding is 0.8844 meters square.
Area of the office floor= Length × Breadth
= 8.5 meters × 6.3 meters
= 53.55 meters square
Area of the Carpet = Length × Breadth
= (8.5-0.06) meters × (6.3-0.06) meters
Since, 60 cm = 0.06 meters
Because 1 meter = 100 cm
= 52.6656 meters square
Area of surrounding = Area of Office floor - Area of Carpet
= 53.55 meters square - 52.6656 meters square
= 0.8844 meters square
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Find the derivative of f(w) = 2/(w^2-4)^5
Answers
The derivative of function f(w) = [tex]2/(w^2 - 4)^5 ~is ~f'(w) = -40~w~(w^2 - 4)^{-6}.[/tex]
We have,
To find the derivative of the function [tex]f(w) = 2/(w^2 - 4)^5[/tex], we can use the chain rule and the power rule for differentiation.
Let's go through the steps:
First, rewrite the function as [tex]f(w) = 2(w^2 - 4)^{-5}.[/tex]
Now, let's differentiate f(w) with respect to w:
[tex]f'(w) = d/dw~ [2(w^2 - 4)^{-5}][/tex]
To apply the chain rule, we need to differentiate the outer function and multiply it by the derivative of the inner function.
Using the power rule, the derivative of (w² - 4) with respect to w is 2w.
Applying the chain rule:
[tex]f'(w) = -10 \times 2(w^2 - 4)^{-6} \times 2w[/tex]
Simplifying further:
[tex]f'(w) = -40w(w^2 - 4)^{-6}[/tex]
Therefore,
The derivative of function f(w) = [tex]2/(w^2 - 4)^5 ~is ~f'(w) = -40~w~(w^2 - 4)^{-6}.[/tex]
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100 Points! Geometry question. Photo attached. Find x and y in the right triangle. Please show as much work as possible. Thank you!
Answers
Answer:
x = 10.5
y =5.25
Step-by-step explanation:
sin60° = 21√3/x
√3/2 = 21√3/x
=> x = 21√3/√3/2 = 10.5
cos60° = y/x
1/2 = y/10.5
y = 10.5/2 = 5.25
1. What are two significant advantages of a 401(k) over an IRA?
Answers
Here are two significant advantages of a 401(k) over an IRA:
Higher Contribution LimitsEmployer Contributions and MatchingThe two significant advantages of a 401(k) over an IRAHigher Contribution Limits: 401(k) plans allow for higher annual contributions compared to IRAs. The contribution limit for a 401(k) is $19,500 (or $26,000 for individuals aged 50 and older), while the limit for an IRA is $6,000 (or $7,000 for individuals aged 50 and older).
Employer Contributions and Matching: 401(k) plans often offer employer contributions and matching programs. Employers may contribute to an employee's 401(k) account, adding to their retirement savings without any direct cost to the employee.
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Some friends start jumping rope during recess at 12:22.They jump rope for 24 minutes.Show and write the they stop jumping rope.Circle A.M or P.M.
Answers
Answer:
They would stop jumping rope at 12:46
Step-by-step explanation:
I'd probably say P.M considering the fact that I don't think kids would be having recess at midnight
What is the lateral surface area of the triangular prism below?
Answers
The lateral surface area of the triangular base prism is 288 m².
How to find the lateral area of a triangular prism?The lateral area of the triangular base prism can be found as follows:
Lateral area of the triangular base prism = (a + b + c)h
where
a, b and c are the side of the triangleh = height of the prismTherefore,
a = 7 m
b = 8 m
c = 9 m
h = 12 m
Therefore,
Lateral area of the triangular base prism = (7 + 8 + 9)12
Lateral area of the triangular base prism = 24 × 12
Lateral area of the triangular base prism = 288 m²
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After drawing a square on the board, Mr. Hinkle asked his class to identify the shape. Timothy stated that Mr. Hinkle had drawn a rhombus. Which of the following statements is true?
Answers
33 + 78 + 10 + 98 + 76
Answers
Answer:
The sum of 33, 78, 10, 98, and 76 is 295.
Answer:
295
Step-by-step explanation:
add the numbers by using the addiction sign
Simplify the following expression.
(6m5g5) 2
Answers
The simplified exponential expression in the context of this problem is given as follows:
[tex](6m^5g^5)^2 = 32m^{10}g^{10}[/tex]
How to simplify the exponential expression?The exponential expression in the context of the problem is defined as follows:
[tex](6m^5g^5)^2[/tex]
The power of a power rule is used when a single base is elevated to multiple exponents, and states that simplified expression is obtained keeping the base, while the exponents are multiplied.
Applying the exponent of 2, we have that:
6² = 36.5 x 2 = 10.Hence the simplified exponential expression in the context of this problem is given as follows:
[tex](6m^5g^5)^2 = 32m^{10}g^{10}[/tex]
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For what value of x is the rational expression below equal to zero?
x-9
(x-4)(x+4)
OA. -4
B.
C.-9
D. 9
SUBMIT
Answers
The value of x is 9
To find the value of x for which the rational expression is equal to zero, we need to set the numerator equal to zero:
x - 9 = 0
Solving for x:
x = 9
Therefore, the value of x = 9.
Looking at the denominator (x - 4)(x + 4), we see that it contains two factors: (x - 4) and (x + 4). For the entire expression to equal zero, either the numerator or one of the factors in the denominator must equal zero.
Setting each factor in the denominator equal to zero:
x - 4 = 0 or x + 4 = 0
x = 4 or x = -4
These are the valid values of x for which the rational expression is equal to zero.
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Ayuda operaciones y respuesta es para ahora
Answers
The perimeter of the given window is 48 centimeter.
From the given figure,
Perimeter of window = 2(Length+Breadth)
= 2(10+14)
= 2×24
= 48 centimeter
Perimeter of house = 2(Length+Breadth)
= 2(37+35)
= 2×72
= 144 centimeter
Perimeter of roof = 2(Length+Breadth)
= 2(37+5)
= 2×42
= 84 centimeter
Therefore, the perimeter of the given window is 48 centimeter.
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Solve for x |x| = 4
Answers
Answer:
x = 2
Step-by-step explanation:
You want the value of x that satisfies x|x| = 4.
DomainThe absolute value function splits the domain of the equation into two parts.
For x < 0, the equation is ...
x(-x) = 4
x² = -4
There are no real solutions in this domain.
For x ≥ 0, the equation is ...
x² = 4
x = √4 = 2
The only solution is x = 2.
__
Additional comment
In the attachment, we have rewritten the equation to ...
x|x| -4 = 0
The graphing calculator readily identifies x-intercepts, so this is a convenient way to find the solution. You will notice that for x < 0, the graph is of -x²-4, which is never zero.
<95141404393>
What is the measure of angle T and angle V?
Answers
The measures of angle T and angle V are T = 90 and V = 90
How to determine the measure of angle T and angle V?From the question, we have the following parameters that can be used in our computation:
The circle
The point T and V are at the tangent of the circle
By definition, the tangent is perpendicular to the radius of the circle, with which it intersects.
This means that the angle T and angle V are right angled
Using the above as a guide, we have the following:
T = 90 and V = 90
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50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answers
Answer: D = 100π square units
Step-by-step explanation:
The formula to calculate the circumference of a circle is C = 2πr, where C is the circumference and r is the radius of the circle.
In this case, we have a circumference of 20π units, so we can set up the equation as follows:
20π = 2πr
To find the radius, we can divide both sides of the equation by 2π:
r = (20π) / (2π)
Simplifying further:
r = 10
Now that we have the radius, we can calculate the area of the circle using the formula A = πr^2:
A = π * (10)^2
A = π * 100
A = 100π
Hello, someone help me with this integral, it gets complicated when they are like this, please help, I need it to pass: c
.....dx
∫ --------
...1−25x²
Answers
Answer:
∫(1 - 25x²) dx
Step-by-step explanation:
stuck on this question any help would be appreciated :)
Answers
The points that represent this data set are shown in the scatter plot attached below.
How to construct and plot the data in a scatter plot?In this exercise, we would plot the number sold on the x-coordinates of a scatter plot while the prices ($) would be plotted on the y-coordinate of the scatter plot through the use of Microsoft Excel.
On the Microsoft Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display a linear equation for the line of best fit on the scatter plot.
Based on the scatter plot shown below, which models the relationship between the number sold and the prices ($), a linear equation for the line of best fit is as follows:
y = 0.23x + 1.00
In conclusion, the slope of the line is 0.23 and the y-intercept is 1.00.
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50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answers
Appling the tangent of circle properties, the length of RS is solved to be
C. 13 in
How to find the length of the tangentTo find the length of the tangent named RS, we applied the tangent of a circle property which says that the length of tangents to a particular point are equal
This leads to the mathematical equation represented below
SR = 7 in + 6 in
SR = 13 in
thus we can say that length of the tangent SR = 13 in
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