1
Select the correct answer from each drop-down menu.
The function () = 13 has been transformed, resulting in function h.
h(t) = -(1 + 2)2 – 4
To create function h, function fwas translated 2 units
„. translated 4 units
and reflected across the
Answers
Answer:
To create function h, function f was translated 2 units right , translated 4 units up and reflected across the x axis
Step-by-step explanation:
Given
[tex]f(x) = x^3[/tex]
[tex]h(x) =-(x + 2)^3 - 4[/tex]
Required
Complete chart
First: f(x) was translated right by 2 units
The rule of right translation is [tex](x,y) \to (x + 2,y)[/tex]
So, we have:
[tex]f'(x) = f(x + 2)[/tex]
[tex]f'(x) = (x + 2)^3[/tex]
Next: f'(x) was translated up by 4 units
The rule of down translation is [tex](x,y) \to (x,y+4)[/tex]
So, we have:
[tex]f"(x) = f'(x) +4[/tex]
[tex]f"(x) = (x + 2)^3 +4[/tex]
Lastly, f"(x) was reflected across the x-axis;
The rule of this reflection is: [tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex]h(x) = -f"(x)[/tex]
[tex]h(x) = -[(x+2)^3 + 4][/tex]
Remove bracket
[tex]h(x) = -(x+2)^3 - 4[/tex]
Related Questions
Please help me solve my problem!!!
Answers
Answer:
The answer is E.
Step-by-step explanation:
A quadrilateral that has only one pair of parallel sides is called a Trapezoid.
Three times a number x minus a half a second number y
Answers
Answer:
3x - y/2
Step-by-step explanation:
Each column of the matrix represents a vertex of a triangle. If Rosa scales the triangle by finding 3T, what are the vertices of the scaled triangle?
(3, 3), (3, 9), (9, 3)
(0, 0), (0, 6), (6, 0)
(3, 3), (0, 9), (9, 0)
(0, 0), (0, 9), (9, 0)
Answers
Answer:
(0,0), (0,9), (9,0)
Step-by-step explanation:
The matrix corresponding vertices are:
(0,0)
(0,3)
(3,0)
Rosa scales by 3T, so we need to multiply each point by 3.
(3*0, 3*0)
(0*3, 3*3)
(3*3, 0*3)
=
(0,0)
(0,9)
(9,0)
last answer choice is right.
pls mark me brainly
The vertices of the scaled triangle, 3T is, (0, 0), (0, 9), (9, 0).
What is a scale factor?The scale factor defines a variable in a ratio of two different measurements.
Sometimes drawings of large models are represented in a scale factor of a smaller unit.
Given, A matrix [tex]T=\begin{bmatrix}0 & 0 & 3\\0 & 3 & 0\end{bmatrix}[/tex] represents the vertices of a triangle.
Let, ABC be the triangle,
So, A(0, 0), B(0, 3), C(3, 0).
Now, If [tex]T=\begin{bmatrix}0 & 0 & 3\\0 & 3 & 0\end{bmatrix}[/tex], Then [tex]3T=3\begin{bmatrix}0 & 0 & 3\\0 & 3 & 0\end{bmatrix}[/tex].
Therefore, [tex]3T=\begin{bmatrix}0 & 0 & 9\\0 & 9 & 0\end{bmatrix}[/tex].
Hence, The new vertices are, (0, 0), (0, 9), (9, 0).
learn more about matrices here :
https://brainly.com/question/11367104
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find the area of a circle diameter equals to 30 cm
Answers
Answer:
225Pi (in terms of Pi)
Or
706.5cm
Step-by-step explanation:
Area = Pi * radius^2
Radius is half of the diameter, so it is 15.
Area = Pi*15^2
Which is:
225Pi
Or
706.5
Answer:
The area of the circle is
[tex]225\pi[/tex]
Step-by-step explanation:
The diameter equals 30 cm, so the radio equals 15 cm.
The formula of the circle area is
[tex]\pi \times {r}^{2} [/tex]
Then,
[tex]\pi \times {15}^{2} = 225\pi[/tex]
Which expression can be used to convert 100 USD to Japanese?
Answers
Answer:The expression that can be used to convert 100 USD to Japanese Yen is 100 USD = 100/Y Japanese Yen.
Step-by-step explanation:
What is the equation of the line that is perpendicular to the given line and passes through the point (5, 3)?
A.) 4x - 5y = 5
B.) 5x + 4y = 37
C.) 4x + 5y = 5
D.) 5x - 4y = 8
Answers
Answer: A , 4x - 5y = 5
Step-by-step explanation:
i just did it , duhhh
Answer:
a
Step-by-step explanation:
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answers
Answer:
x = 46°
Step-by-step explanation:
64° + 70° + x = 180°
x = 180° - 64° - 70°
x = 46°
can someone help me I forget how to do this.
Answers
Answer:
If i recall Maria collected 34 cicadas
Answer:
17 Cicadas
Step-by-step explanation:
62 - 28 divided by two will give us the amount Maria collected.
62 - 28 = 34
34/2 = 17
Maria had 17 cicadas.
How to verify:
17 + 28 + 17 Should equal 62
34 + 28 = 62
calculate (4.8×10⁵)÷(1.2×10³),give your answer in standard form to 3 significant figures
Answers
Step-by-step explanation:
pleae mark as brain list please give me some thanks please
= 4 x 10^2
= 4.00 x 10^2 (3 sf)
peter collects antique marbles. he has these two boxes full of marbles
Answers
Answer:
3 marbles
Step-by-step explanation:
and they have died inside too
Find the size of the angle below
Answers
Answer:
i wish i could tell you
Step-by-step explanation:
What is the range of the function?
O all real numbers
O all real numbers greater than 0
O all real number less than or equal to 0
O all real numbers greater than or equal to 0
Answers
in isosceles Triangle RST below what is the value of y
Answers
Answer:
second option
Step-by-step explanation:
y + y + 38 = 180 degree ( sum of interior angle of a triangle is 180 degree)
2y = 180 - 38
y = 142/2
y = 71 degree
Answer:
71 degrees
Step-by-step explanation:
Hi there!
All the interior angles of a triangle add up to 180 degrees.
Knowing this, we can construct the following equation:
[tex]180=y+y+38\\180=2y+38[/tex]
Subtract 38 from both sides
[tex]180-38=2y+38-38\\142=2y\\71=y[/tex]
I hope this helps!
what is energy efficiency
Answers
Answer:
The goal to reduce the amount of energy used to provide products and services; saving the earth vibes.
Students are asked to estimate the number of gumballs in a jar. Sam says there are 228 gumballs. In actuality, there are 240 gumballs. What is the percent error
Answers
Answer:
5%
Step-by-step explanation:
Percent error = (actual - estimated) / actual x 100
(240 - 228) / 240 x 100 = 5%
Can I plsss get some helpp
True or False: The following lengths form a right triangle:
a = 8 units
b = 6 units
C = 10 units
10
op
6
O True
O False
Answers
Answer:
True is the correct answer
Answer:
I believe the answer is true
PLZZ HELPPP!!!!!!!!!!
Answers
Answer:
$375.32
Step-by-step explanation:
100% - 40% = 80%
80/100 = 0.8 (multiplier)
521.28 x 0.8 = 417.024
417.024 to 417.02 (2 d.p.)
100 - 10 = (ans)/100 = 0.9
417.02 x 0.9 = 375.318
$375.32
Step 1: Find the sales price
The surfboard was marked down 40% of its original price, $521.28.
0.40(521.28) = 208.512
521.28 - 208.512 = 312.768
Step 2: Find the final price
We add the tax on the sales price, not the original price. The tax is 10% in this case.
0.10(312.768) = 31.2768
312.768 + 31.2768 = 344.0448
Final price = $344.04
---I did not round until the end in this case, but rounding at every step leads to an answer of $344.05
Hope this helps!
plz help me I will give u branist and like u back plz help me I will also follow u
Answers
Answer:
hi, the answer is Nu5000
250×20=5000
(5x)/7 - x/14 = 9/7 solve for the unknown value this is a linear equation
Answers
Step-by-step explanation:
[tex]\longmapsto \rm \dfrac{5x}{7} - \dfrac{x}{14} = \dfrac{9}{7} \\ [/tex]
[tex]\longmapsto \rm \dfrac{10x + x}{14} = \dfrac{9}{7} \\ [/tex]
[tex]\longmapsto \rm \dfrac{11x}{14} = \dfrac{9}{7} \\ [/tex]
→ 11x(7) = 14(9)
→ 77x = 126
→ x = 126 ÷ 77
→ x = 1.63
I’ve never understood this, please help!
Answers
Answer:
-80
Step-by-step explanation:
So basically what we need to do is find the value of x that satisfies the equation.
When I mean satisfy, I basically mean a value of x that makes one side of the equals sign equal to the other side of the equals sign.
So in this case, we need -6 = -6.
To find this lets solve the equaion step by step:
-6=x/8+4
So first off, you always want to get the variable on one side, and the number on the other.
This means you want to subtract the 4 from both sides, leaving x/8:
-6=x/8+4
-4 -4
-10=x/8
Whenever x is not 1x, you have to divide or multiply to get it equal to 1x.
If this is a bit confusing, here is an example:
100=10x
We need 1x, but above is 10x. The reason why we want 1x is because it is the lowest ratio, and most accurate x value.
You can think of it like a 1 dollar bill. Its easier and better to use than per say a 3 dollar bill.
So in the example above you would divide by 10, since 10x/10 would equal 1x.
Remember the rule however, that what you do on one side you must do on the other. This emans you would divide both sides by 10:
100/10 =10x/10
=
10=1x
We have in our equation:
-10=x/8
Our x is lower than 1. It x/8. Whenever we have a value of x greater than 1, we divide, like we did in the example. However here, it is below x. So we multiply.
In this case we multiply by 8, since its x/8:
-10 * 8 = x/8 * 8
=
-80=x
So x is equal to -80.
I hope you understand it better now :D
Given m||n, find the value of x and y
Answers
Answer:
x=20,y=34
Step-by-step explanation:
x+14=2x-6 (vertically opposite angles)
x-2x = -6-14
-x = -20
x=20
x+14=y (corresponding angles)
20+14=y
y=34
Answer:
x = 20, y = 34
Step-by-step explanation:
(2x - 6) and (x + 14) are vertical angles and are congruent, then
2x - 6 = x + 14 ( subtract x from both sides )
x - 6 = 14 ( add 6 to both sides )
x = 20
Then
2x - 6 = 2(20) - 6 = 40 - 6 = 34
y and (2x - 6) are alternate angles and are congruent , so
y = 34
Problem 2 : Using in the pattern in the image below, how many dots would be in Step 4
Answers
Answer:
20
Step-by-step explanation:
One pattern is that we are adding one row and one column for each step.
The first step has 1 row and 2 columns,
the second one has 2 rows and 3 columns,
and the third has 3 rows and 4 columns.
Thus, it would make sense for the fourth step to have 4 rows and 5 columns. This makes a rectangle with a length and a width, with the area of the rectangle being length * width. 4 * 5 = 20 as our number of dots
can somebody help me with this question please!
Answers
fig 3 would take 18 triangle
fig 4 would take 30 small triangles
if its wrong i am sorry
Answer:
the answer is 33the answer is 18Let f(x)=2(4)x+1−2. The graph of f(x) is translated 7 units to the left to form the graph of g(x).
Answers
During a single day at radio station WMZH, the probability that a particular song is played is 6/7. What is the probability that this song will be played on at least 5 days out of 6 days? Round your answer to the nearest thousandth.
Answers
Answer:
The required probability is 0.462.
Step-by-step explanation:
Probability to play the song = 6/7
Probability not to play the song = 1 - 6/7 = 1/7
Required probability
= Probability to play 5 days x probability not to play 1 one + Probability to play 6 days
[tex]=\left (\frac{6}{7} \right ) ^5\times \frac{1}{7} + \left (\frac{6}{7} \right ) ^6\\\\= \frac{6^5 +6^6}{7^6}\\\\=0.462[/tex]
Daniel trabalha em um zoológico e cuida da parte tá comida dos leões . nesse zoológico, a quantidade de carne que eles consomem é proporciao ao seu peso. Se um dos leões pesa 18arroubas, qual o corespondente em kg
Answers
Answer:
270kg!
Step-by-step explanation:
Which gives the correct values for points A,B,C, and D?
Answers
Answer:
The answer would be A
Step-by-step explanation:
what is 5\8 divided by 1\4
Answers
Answer:
2.5
Step-by-step explanation:
Answer:
2 1/2
Step-by-step explanation:
5/8 ÷ 1/4
Copy dot flip
5/8 * 4/1
Rewriting
5/1 * 4/8
5/1 * 1/2
5/2
Writing as a mixed number
2 1/2
[tex]{(\frac{4}{3}) ^{-1} - (\frac{1}{4} )^{-1})}^{-1}[/tex]
Pls include steps
Answers
Step-by-step explanation:
(4/3)–1 = 3/4 and (1/4)–1 = 4/1
now we have,
(3/4 - 4)–1 = (-13/4)–1
= -4/13
The lengths of the sides of a rectangle are in a ratio of 4:7. If the length is 31.5 in, find the width, perimeter, and area of this rectangle.
Answers
Answer:
L = 31.5 w = (4/7)31.5 = 18 p = 2 * 31.5 + 2 * 18 A = 31.5 * 18
Step-by-step explanation: