Transformation involves changing the form of a function. The function that represents is C; [tex]g(x) =- \sqrt[3]{x+1}[/tex]
What is a function?The function is a type of relation, or rule, that maps one input to specific single output.
Function f(x) is given byy;
[tex]g(x) = \sqrt[3]{x}[/tex]
f(x) is reflected across the x-axis.
The rule of this transformation (i.e. reflection) is:
(x, y) ⇒ (x, - y)
So,
[tex]f'(x) = -f(x)[/tex]
This gives
[tex]f'(x) = - \sqrt[3]{x}[/tex]
Now, f'(x) is translated 1 unit left
The rule of this transformation (i.e. translation) is:
(x, y) ⇒ (x+ 1, y)
So,
g(x) = f'(x+ 1)
This gives
[tex]g(x) = -\sqrt[3]{x+1}[/tex]
Hence, the function that represents g(x) is (c)
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Answer:
Step-by-step explanation:
its B on Edge just did it
What is the average rate of change for this function for the interval from x=3 to x=5
The average rate of change is 12 the interval from x=3 to x=5.
How to find the average rate of change of something?Let the thing that is changing be y and the thing with which the rate is being compared is x, then we have the average rate of change of y as x changes as:
[tex]\text{Average rate} = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
where when
[tex]x = x_1, y = y_1\\and \\x = x_2, y = y_2[/tex]
Given:
Interval; x = 3 to x = 5
We can represent these by
[tex]x_1 = 3\\x_2 = 5[/tex]
The corresponding y values are as follows
When x = 3, y = 8
When x = 5, y = 32
This will also be represented
[tex]y_1 = 8\\y_2 = 32[/tex]
The average rate of change is then calculated as follows
[tex]\text{Average rate} = \dfrac{y_2 - y_1}{x_2 - x_1}\\\\\\m = \dfrac{32 -8}{5-3}\\\\m = \dfrac{24}{2}\\\\m = 12[/tex]
Hence, the average rate of change is 12.
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A circle representing a pool is graphed with a center at
the origin. Grant enters the pool at point A and swims
over to a friend who is located at point B.
-10-
6-
4
2-
A
2 4 6 8 10 x
B
-106422-
№t
4-
-6-
-10-
Which equation represents Grant's path?
O y = 2-4x
Oy=4-
O y = 6-
Oy=8-2x
The equation that represents Grant's path is; y = 4 - ¹/₂x
How to find the equation of a graph?
We are given;
Point A: (8,0),
Point B: (-4,6)
Thus, the slope is;
m = (6 - 0)/(-4 -8)
m = -¹/₂
Thus;
Equation of Grant's path is;
y = -¹/₂(x - 8)
y = 4 - ¹/₂x
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Two angles of a quadrilateral measure 105° and 150°. The other two angles are in a ratio of 4:17. What are the measures of those two angles?
Answer:
20 degrees and 85 degrees.
Step-by-step explanation:
105 degrees+ 150 degrees is equal to 255 degrees. 360 degrees - 255 degrees is 105 degrees. To get the ratio equivalent to 105 degrees you have to multiply both sides by 5 in order to get 20 degrees, and 85 degrees. I hope this helps! :)
A map of a public park shows a circular pond. There is a bridge along a diameter of the pond that is 0.25 mi long. You walk across the bridge, while your friend walks halfway around the pond to meet you at the other side of the bridge. How much farther does your friend walk? Round your answer to the nearest hundredth. Use 3.14 for π.
Your friend walks about
miles farther than you.
The distance further the friend walked is 0.41 miles.
How much farther did the friend walk?The distance the friend walked can be determined by calculating the circumference of a semicircle.
Circumference of a semicircle = πr + 2r
r = 0.25 / 2 = 0.125mi
3.14 x 0.125 + 0.25 = 0.66 mi
Difference in the distance = 0.66 - 0.25 = 0.41 miles
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help pls im being timed
The trigonometric ratios show that the angle FHE is 48.59°.
RIGHT TRIANGLE
A triangle is classified as a right triangle when it presents one of your angles equal to 90º. The greatest side of a right triangle is called hypotenuse. And, the other two sides are called cathetus or legs.
The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean Theorem.
The Pythagorean Theorem says: [tex](hypothenuse)^2=(leg_1)^2+(leg_2)^2[/tex]. And the main trigonometric ratios are:
[tex]sin(\alpha) =\frac{opposite \;leg }{hypotenuse} \\ \\ cos(\alpha) =\frac{adjacent\;leg }{hypotenuse} \\ \\ tan(\alpha) =\frac{sin(\alpha )}{cos(\alpha )}= \frac{opposite \;leg }{adjacent\;leg } \\ \\[/tex]
It is important to remember that the sum of internal angles for any triangle is 180°.
From the question, it is possible to see 2 right triangles (HGF and FHE).
You can find the hypotenuse of the triangle HGF from the trigonometric ratio: sen Θ
[tex]sin45=\frac{opposite\; leg }{hypotenuse} =\frac{\sqrt8}{hypotenuse}\\ \\ \frac{\sqrt{2} }{2} =\frac{\sqrt{8} }{hypotenuse} \\ \\ \sqrt{2}*hypotenuse=2\sqrt{8} \\ \\ hypotenuse=\frac{2\sqrt{8} }{\sqrt{2}} =2\sqrt{4} =2*2=4[/tex]
The hypotenuse of triangle HGF is one of legs for the triangle FHE. The, you can find the angle FHE from the trigonometric ratio: tan β. Thus,
[tex]sin \beta =\frac{opposite\; leg }{adjacent\; leg} =\frac{3}{4}\\ \\ sin \beta=\frac{3}{4}=0.84806\\ \\ arcsin\beta =48.59^{\circ \:}[/tex]
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Please help, thanks!!!
Problem 4
Draw any right triangle you want. Afterward, draw a perpendicular segment that goes from the 90 degree angle to the hypotenuse. Call this new segment the altitude. It might help to have the hypotenuse laying flat or horizontal.
The length of this altitude can be found using the geometric mean formula. Search out "geometric mean for triangles" (or similar) and you should get a diagram that visually summarizes what is going on. I've provided a screenshot of an example using GeoGebra. See below.
==========================================================
Problem 5
The two special types of right triangles are: the 45-45-90 triangle and the 30-60-90 triangle.
If x is the leg length of the first triangle type mentioned, then [tex]x\sqrt{2}[/tex] is the hypotenuse. We can confirm this using the pythagorean theorem. Recall that the legs of any 45-45-90 triangle are the same, meaning we have an isosceles triangle.
For the second type of triangle, the short leg x leads to the hypotenuse 2x and long leg [tex]x\sqrt{3}[/tex]
==========================================================
Problem 6
If you know say the opposite and adjacent sides of a right triangle, then you can use the tangent ratio because tan = opposite/adjacent.
Sine is used for opposite/hypotenuse, while cosine is used for adjacent/hypotenuse. Those are the main 3 trig functions. Technically there are 3 more, but they are just reciprocals of the previous three.
==========================================================
Problem 7
Use inverse trig functions to find the missing angles if you know the sides. The inverse trig functions have an exponent of -1.
For instance, let's say the triangle has an opposite side of 10 and hypotenuse of 15
The reference angle would be...
[tex]\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(x) = \frac{10}{15}\\\\x = \sin^{-1}\left(\frac{10}{15}\right)\\\\x \approx 41.81^{\circ}\\\\[/tex]
==========================================================
Problem 8
Imagine looking completely horizontal at the horizon. The angle in which you are currently looking is 0 degrees. If you look upward, say 10 degrees, then the angle of elevation is 10 degrees. Looking down means we have an angle of depression. These two types of angles help us determine various distances and lengths.
Use the alternate interior angle theorem to help show that angles of depression are congruent to angles of elevation. It will depend on context which type of angle is more useful.
ch statement is true about the graphs of the two lines y=-6 and x =
dx= -1/?
The lines are perpendicular to each other because the graph of y = -6 is a horizontal line with a slope that is
ndefined, and the graph of x = is a vertical line with a slope of 0.
The lines are perpendicular to each other because the graph of y=-6 is a vertical line with a slope that is
ndefined, and the graph of x = is a horizontal line with a slope of 0.
The lines are perpendicular to each other because the graph of y = -6 is a vertical line with a slope of 0, and th
aph of x = is a horizontal line with a slope that is undefined.
he lines are perpendicular to each other because the graph of y=-6 is a horizontal line with a slope of 0, and
e graph of x = is a vertical line with a slope that is undefined.
Answer:
IT'S A !
Step-by-step explanation:
Took the quiz on edge 2022 .
the correct statement is:
"The lines are perpendicular to each other because the graph of y = -6 is a horizontal line with a slope of 0, and the graph of x = dx is a vertical line with an undefined slope."
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Find correct statement is true about the graphs of the two lines y=-6 and x = dx
Since, horizontal line with a slope of 0, and the graph of x = dx is a vertical line with an undefined slope.
Therefore, the correct statement is:
"The lines are perpendicular to each other because the graph of y = -6 is a horizontal line with a slope of 0, and the graph of x = dx is a vertical line with an undefined slope."
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Bobby has a party while his parents are away for the weekend. Bobby estimated that if his 9 friends hep him to clean the house, they will finish in time if they start 8 hours before his parents return. But after only two hours of cleaning, Bobby's parents call and say they are just two hours from home. How many more friends does Bobby need to call to help finish cleaning in time.
Question:
Bobby has a party while his parents are away for the weekend. Bobby estimated that if his 9 friends hep him to clean the house, they will finish in time if they start 8 hours before his parents return. But after only two hours of cleaning, Bobby's parents call and say they are just two hours from home. How many more friends does Bobby need to call to help finish cleaning in time.
Answer:
Bobby need 20 friends.
Step-by-step explanation:
8 x (9 + 1) = 8/o = 80 hours
Suppose Bobby needed to call x friends.
10 x 2 + 2 (10 + x) = 80
20 + 20 +2x = 80
2x = 40
x = 20
Therefore, Bobby needs to call 20 friends to get the cleaning done in time.
Ayuda porfa doy corona
Answer:
goto chrome and search spankbang
Step-by-step explanation:
thet the answer
What equation has the same solution as 3x-5=5x + ll
Answer: -5=2x+11
Step-by-step explanation:
3x-5=5x+11
subtract 3x to both sides
3x-5 - 3x =5x+11 - 3x
simplify
-5 = 2x +11
answer is -5=2x+11
3 substracted from 9 times 2 and 5 is added
Answer:
20
Step-by-step explanation:
It is because 9x2=18
3 subtracted from 18 is 15
15+5=20
please mark brainliest
Classify each polynomial according to its degree and type. Look at the screenshot below!
Answer:
Monomial Binominal Trimoninal
Degree 1: -9x x + 6
Degree 2: -4[tex]x^{2}[/tex] [tex]4x^{2} -x[/tex] [tex]x -3x^{2} + 1[/tex]
Degree 3: 4[tex]x^{3}[/tex] 5 - 2[tex]x^{3}[/tex] [tex]3x^{2} + 3x^{3} -10[/tex]
Step-by-step explanation:
I do not know how to explain how I got to this answer, but here is the answer.
c) What is the equation of line a? (2 points)
The line a is an illustration of a proportional linear equation, and the equation of line a is y = 1.4x
How to determine the equation of the data?The line a passes through the following points:
(x,y) = (0,0) and (1.3, 1.82(
The above means that line a is a proportional linear equation
The constant of proportionality (k) is calculated using:
k = y/x
Using the values on the table, we have:
k = 1.82/1.3
Divide
k = 1.4
Substitute k = 1.4 in k = y/x
y/x = 1.4
Multiply both sides by 1.4
y = 1.4x
Hence, the equation of the line a is y = 1.4x
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Which relation is a function? PLEASE HELP
Answer:
A
Step-by-step explanation:
for the relation to be a function then each value of x in the domain must map to exactly one unique value of y in the range
this is the case for A
in B : 3 → 2 and 3 → 8 ← not a function
in C : - 2 → 5 and - 2 → 7 ← not a function
in D : 2 → 2 and 2 → 3 and 3 → 3 and 3 → 2 ← not a function
How to convert no. Ito persentage
To turn a number (either an integer or a decimal) into a percent, simply multiply by 100. That is the same as moving the decimal point two places to the right. You may need to round to the desired precision. Add a percent (%) sign.
What is percentage? :A percentage is a way of expressing one number as a portion or share of a whole number, and percentages are always based on their relation to 100, which represents the whole number or object.For example, 75% is the same as 75 out of 100. Any percentage lower than 100 is just part of the whole or total.Definition of a number : A number is an arithmetic value used for representing the quantity and used in making calculations.What is Maths? : MATH stands for "Mathematics" in its entire form. Mathematics is a branch of science that studies the logic of form, quantity, and arrangement.Learn more about Mathematics, refer:
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Which statement about ABCD isn’t true
Answer:
The answer is B. AC = BD.
Step-by-step explanation:
ABCD is given as a parallelogram. Most of the line is given to be parallel.
AB = CD and BC = AD are told that they are in a parallel line to each other.
The line inside the parallelogram is yet to be said if they equal each other, thus, statement B. AC = BD must be false.
Whic
the following is an angle? (3 points
Figure A has two rays connected at a vertex, Figure B is a line with one endpoint and the other end has an arrow, Figure C is a line with two endpoints, and Figure D is a line with an arrow at each end
Figure A
Figure B
Figure C
Figure D
Figure A which has two rays connected at a vertex is an angle in this scenario.
What is an Angle?This is formed when two rays share a common endpoint with there being different types of angles.
The common endpoint shared forms a vertex which is why Figure A was chosen as the most appropriate choice.
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Translate the shape A three squares right and one square down.What are the coordinates of the vertices of the image?
If the shape A is translated four squares right and two squares up, the resulting coordinate point will be at (-2, 5), (-2, 2) and (0, 2)
Translation of coordinatesTranslation is a transformation technique of changing the position of an object on the xy plane
Given the coordinates of the vertices (1, 4), (1, 1), (3,1)
If the shape A is translated three squares right and one squares up, the resulting coordinate point will be at (-2, 5), (-2, 2) and (0, 2)
Note that 4 was subtracted from the x-axis and 2 added to the y-coordinates.
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Uv has endpoints at u(4, 6) and v(10, 4). find the midpoint m of uv.
write the coordinates as decimals or integers.
m =
submit
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ U(\stackrel{x_1}{4}~,~\stackrel{y_1}{6})\qquad V(\stackrel{x_2}{10}~,~\stackrel{y_2}{4}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 10 +4}{2}~~~ ,~~~ \cfrac{ 4 +6}{2} \right)\implies \left( \cfrac{14}{2}~~,~~\cfrac{10}{2} \right)\implies (7~~,~~5)[/tex]
You have a list of 7 letters, of which 3 are vowels (a, i, e) and 4 are consonants (b, c, d, f). you need to use these letters to form four-letter words in such a manner that they should contain exactly 2 vowels from the given 3 and exactly 2 consonants from the given 4. how many such four-letter words can you form using the seven given letters?
There are 432 four-letter words you can form using the seven given letters if you have a list of 7 letters.
What are permutation and combination?A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
We have:
A list of 7 letters, of which 3 are vowels (a, i, e) and 4 are consonants (b, c, d, f).
a, i, e - 2 vowels can be selected in 3C2 ways.
b, c, d, f - 2 consonants can be selected 4C2 ways.
We can arrange 4 alphabets in 4! ways.
Total ways = C(3, 2)×C(4, 2)×4!
= 3×6×24
= 432
Thus, there are 432 four-letter words you can form using the seven given letters if you have a list of 7 letters.
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Which shows the equation of the line containing the point (4, 6) and having a slope of 4 in slope-intercept form?

4y=x−28
y=4x−10
y=−4x+10
y=−52x+4
Answer:
y=4x-10
Step-by-step explanation:
See attached image
Find an algebraic expression equivalent to 3 over 2 left paren 6 x squared minus two over 3 x right paren
The equivalent expression of 3/2(6x^2 - 2/3x) is 9x^2 - x
How to determine the equivalent expression?The expression is given as:
3/2(6x^2 - 2/3x)
Open the bracket
3/2*6x^2 - 3/2*2/3x
Evaluate the product
9x^2 - x
Hence, the equivalent expression of 3/2(6x^2 - 2/3x) is 9x^2 - x
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TIME SENSITIVE!!! What will the first row of this multiplication be? (first image is the problem, second is the options)
Answer:
the first option
Step-by-step explanation:
hope the answer helps...
Help me please I dont know what the answer is here...
If you can, please write the steps so i can understand better next time.
For this problem, let's think of this shape as a rectangle and a triangle put together. We'll calculate the area of each shape and add them together to get the total area.
For the rectangle, the equation is b*h. Here the base = 7 cm and the h = 4cm
For the triangle, the equation is 1/2 * (b*h). Here the base is a little tricky to find. We know the total length is 12cm and the rectangle length was 7cm. So 12-7= 5cm, which is the base of the triangle. The height would be the same (4cm).
Once you calculate those two areas and add them up, you'll have the total area of this shape.
Simplify each expression -21v6/-6v8
Answer: The answer to this is [tex]\frac{7\sqrt{3} }{4}[/tex].
I looked it up on my scientific calculator. I hope this helps!! :)
Answer:
7/2v^2
Step-by-step explanation:
Hope this helps!
If not, I am sorry.
3. A farmer needs to dig a rectangular pit that is 5m long, 4m wide and 6m deep. How many cubic meters of soil must he removed?
156 m3
120 m3
231 m3
345 m3
wrong answer/nonsense = report
Answer:
120 m3
Step-by-step explanation:
The volume of a rectangular prism is l*w*h. plug in the 3 measurements and get 5*4*6 = 120
11/12 - 7/9
5/36
5/72
25/36
25/72
c
Step-by-step explanation:
solve pls brainliest
Use completing the square to rewrite the function in vertex form. f(x)=x2+6x−5
Answer:
f(x) = (x + 3)² - 14
Step-by-step explanation:
f(x) = x² + 6x - 5
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² + 6x
f(x) = x² + 2(3)x + 9 - 9 - 5
= (x + 3)² - 14 ← in vertex form
The function in vertex form is f : x → (x + 3)² - 14.
To convert the equation.
f : x → x² + 6x - 5 into the vertex form, you will need to complete the square.
First, you will need to add and subtract the square of half of the coefficient of the x term, which is (6/2)² = 9.
This will give you the equation.
f : x → x² + 6x - 5 + 9- 9
Next, you will need to factor the left side of the equation,
f : x → (x² + 6x + 9) - 5 - 9
Now, you can see that the left side of the equation is the square of
(x + 3)² so you can rewrite it as:
f : x → -(x + 3 )² - 5 - 9
Finally, you can simplify the right side of the equation to get:
f : x → (x + 3)² - (5 + 9)
f : x → (x + 3)² - 14.
Therefore, the vertex form is f : x → (x + 3)² - 14.
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Solve for h: h+4/-2=0.3 ([tex]h+\frac{4}{-2} =0.3[/tex])
Give Explanation please.
Answer: [tex]h=\frac{23}{10} =2.300[/tex]
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
[tex]h+\frac{4}{-2} -((\frac{3}{10} ))=0[/tex]
[tex]Simplify~ \frac{3}{10}[/tex]
[tex](h+\frac{4}{-2} )-\frac{3}{10} =0[/tex]
Subtracting a fraction from a whole
Rewrite the whole as a fraction using 10 as the denominator :
[tex]h-2=\frac{h-2}{1} =\frac{h-2x10}{10}[/tex]
Equivalent fraction: The fraction thus generated looks different but has the same value as the whole
Common denominator: The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to the lowest terms if possible:
[tex]\frac{(h-2)x10-(3)}{10} =\frac{10h-23}{10}[/tex]
[tex]\frac{10h-23}{10} =0[/tex]
When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, CalderonJ multiplys both sides of the equation by the denominator.
Here's how:
[tex]\frac{10h-23}{10} *10=0*10[/tex]
Now, on the left hand side, the 10 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
10h-23 = 0
Add 23 to both sides of the equation :
10h = 23
Divide both sides of the equation by 10:
h = 23/10 = 2.300
Final Answer: 2.3(decimal form) aka 23/10 (fraction)