Answers
Answer:
B) Vertically stretched by a factor of 3, shifted to the right by 1 unit, and shifted up 2 units.
Step-by-step explanation:
The basic transformations of a rational function as shown here can be modeled by:
[tex]f(x) = \frac{a}{b(x - h)} + k[/tex]
a = vertical stretch / compression.
b = horizontal stretch / compression.
h = horizontal shift.
k = vertical shift.
If there is a negative sign by a, then it is a vertical reflection.
If there is a negative sign by b, then it is a horizontal reflection.
_____________
As seen here, the transformations of
[tex]f(x) = 2 + \frac{3}{x–1} [/tex]
There is no b value because x - 1 is completely factored or it can just be thought of as 1. a or the vertical stretch is a factor of 3 because that is the numerator of the rational expression. There is a horizontal shift of 1 unit to the right because when x is subtracted by 1 in the rational expression, the root of x - 1 by itself is 1 greater than x. Lastly, there is a vertical shift up 2 units because that means all the values of the function will increase by 2 units which moves the whole function up 2.
Related Questions
NEED HELP ASAP!!!!!!!!!!!!!!!
Answers
Answer:
the answer is a
Step-by-step explanation:
The Lopez family is traveling from the beach to their house at a average speed of 65 miles per hour. At noon, they have driven 50 miles. Which equation represents the total distance they have driven, d, in terms of the number of hours since noon, h?
Answers
The equation that represents the total distance they have driven, d, in terms of the number of hours since noon, h is:
d = 65h + 50
Which equation represents the total distance that the family has traveled?The equation that represents the total distance that the family traveled must show the initial distance they started with, the velocity at which they are traveling and the time they have covered.
The initial distance that they started with is = 50 miles
The velocity at which they are traveling is 65miles/hr
Therefore the total distance they have driven, d, in terms of the number of hours since noon, h
= 65h + 50
Therefore, the third option is correct.
Learn more about distance traveled here:
https://brainly.com/question/4931057
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Explain how the net of rectangular prism can help you find the surface area or the prism?
Answers
A 3d cardboard box has 6 sides, each of which are rectangles. If you unfold the 3D box, and flatten it out, then you'll be left with 6 rectangles such as what you see in the attachment below. This is one way to unfold the box. This flattened drawing is the net of the 3D rectangular prism. You can think of it as wrapping paper that covers the exterior of the box. There are no gaps or overlapping portions. If you can find the area of each piece of the net, and add up those pieces, that gets you the total area of the net. This is the exactly the surface area of the box.
In the drawing below, I've marked the sides as: top, bottom, left, right, front, back. This way you can see how the 3D box unfolds and how the sides correspond to one another. Other net configurations are possible.
d is proportional to S^2
d=900 when s=20
calculate the value of D when S=25
Answers
Answer:
d = 1406.25
Step-by-step explanation:
Given d is proportional to s² then the equation relating them is
d = ks² ← k is the constant of proportion
To find k use the condition d = 900 when s = 20
900 = k × 20² = 400k ( divide both sides by 400 )
2.25 = k
d = 2.25s² ← equation of proportion
When s = 25, then
d = 2.25 × 25² = 2.25 × 625 = 1406.25
Solve for 15 ≥ -3x or x ≥ -2.
Answers
Answer:
x≥−5
Step-by-step explanation:
Laura has 160 pounds of green beans at her vegetable stand. If she sells 10 pounds of green beans every hour, what is the percent decrease in green beans after 3 hours?
Answers
Answer:We have,
Beans sold in 1 hour = 10 pounds
So, Beans sold in 3 hours = 30 pounds
Decrease in green beans after 3 hours is 30 pounds.
Now,
Step-by-step explanation:
Answer:
18,75%
Step-by-step explanation:
3 x 10 = 30
so, she sold 30 pounds in 3 hours
160/100=1.6
1% - 1.6 pounds
30/1.6=18,75
Please help wha5nis the answer it’s emergency ✨✨
Answers
Answer:
A. 3.7, because |3.7| = 3.7
I hope this helps!
What is the product? StartFraction 4 k + 2 Over k squared minus 4 EndFraction times StartFraction k minus 2 Over 2 k + 1 EndFraction StartFraction 4 Over 2 k + 1 EndFraction StartFraction 2 Over k minus 2 EndFraction StartFraction 2 Over 2 k + 1 EndFraction StartFraction 2 Over k + 2 EndFraction
Answers
Answer:
[tex]\frac{2}{k+2}[/tex]
Step-by-step explanation:
Given the expression:
[tex]\frac{4k+2}{k^2-4} * \frac{k-2}{2k+1}[/tex]
We are to find the product as shown:
[tex]= \frac{4k+2}{k^2-4} * \frac{k-2}{2k+1}\\\\= \frac{2(2k+1)}{k^2-2^2} * \frac{k-2}{2k+1}\\\\= \frac{2(2k+1)}{(k-2)(k+2)} * \frac{k-2}{2k+1}\\\\= \frac{2}{k+2} * 1\\\\= \frac{2}{k+2}[/tex]
Hence the required function is [tex]\frac{2}{k+2}[/tex]
d. StartFraction 2 Over k + 2 EndFraction
aka
d. 2/k+2
someone please help...i’m trying to get my grade up.
Answers
Answer:
y=2
Step-by-step explanation:
Plsss help'
Algebra
plzzz
Answers
Answer:
f(X)= 3x^2- 30x+5
Step-by-step explanation:
f(X)= 3(x-5)^2-70
= 3(x^2-2.x.5+ 5^2) -70
= 3(x^2-10x+25)-70
= 3x^2-30x+75-70
= 3x^2-30x+5
How do i get the answer x= 3, -1 for equation (3/x^2)+ 2/x =1
Answers
Answer:
Steps below
Step-by-step explanation:
(3/x²)+ 2/x =1 (x ≠ 0)
(3/x²) + 2x/x² = 1
(3 + 2x) / x² = 1
3 + 2x = x²
x² - 2x - 3 = 0
(x + 1) (x - 3) =0
x = -1 or x = 3
is that right? I'm pretty sure it is.
Answers
Answer:
That is correct AS A DECIMAL but since it is asking for the exact form the correct answer would be 3 √ 5
Step-by-step explanation:
Ellen is playing a video game in which she captures butterflies. There are 5 butterflies onscreen, but the number of butterflies doubles every minute. After 4 minutes, she was able to capture 4 of the butterflies. Enter an expression for the number of butterflies after 4 minutes. Use a power of 2 in your answer. An expression is
Answers
Answer:
76
Step-by-step explanation: Given that: There are 5 butterflies onscreen
The number of butterflies doubles every minute.
That is every increase in minute = double in the numbers of butterflies
Expressing in the power of 2
= 5×2^n. .......... 1
Where n is 4 which can as well range from ( 1,2,3,4 )
Hence, using the expression in equation 1
Ist minute where n = 1
5(2^1) = 10 butterflies
2nd minutes: where n = 2
5(2)(2) = 5(2^2) butterflies
After 3rd minutes :
5(2^3) butterflies where n = 3
After 4th minutes : where n = 4
5(2^4) butterflies
But at that point she was able to capture 4.
After 4 min, number on screen = 5(2^4) - 4
= 5(16) - 4
= 80-4
= 76
Neil had $146.82 in his checking account. He deposited $84.27 and wrote a check for $19.12. Then, he wrote another check for $31.86. Which most closely estimates how much money remains in Neil's account?
Answers
Answer:
146.82+ 84.27=231.09-19.12=211.97-31.86=180.11 remaining in his checking account
Use the interactive number line to help complete each exercise. Place points at -1 and -4. Complete the inequality: -1 -4. Place points at the opposites for each number. Which inequality statement is true?
Answers
Question might not be complete
Answer and explanation:
The signs -1 and -4 lie on the negative side of the number line, left of zero(positive right of zero).
The opposites for each number would be +1 and +4 which would all be on the right side of zero on the number line
Inequality signs or statements to represent greater and lesser number on the number line using the numbers above as examples would be:
-1<+1
-4<-1
+1>-1
+1<4
-1-4<1+4
Numbers that don't have signs attached to them are automatically positive numbers
Answer:
1.>
2.1 < 4
Step-by-step explanation
Which expression is equivalent to 2^-3/2^-5
Answers
Answer:16
Step-by-step explanation:
The center of a circle is at (2, −5) and its radius is 12.
What is the equation of the circle?
(x−2)2+(y+5)2=144
(x+2)2+(y−5)2=24
(x−2)2+(y+5)2=24
(x+2)2+(y−5)2=144
Answers
Answer:
The equation of the circle is (x - 2)² + (y + 5)² = 144 ⇒ A
Step-by-step explanation:
The form of the equation of the circle is (x - h)² + (y - k)² = r², where
r is the radius of the circleh, k are the coordinates of the center of the circleLet us solve the question
∵ The center of the circle is at (2, -5)
→ From the rule above
∴ h = 2 and k = -5
∵ The radius of the circle is 12
∴ r = 12
→ Substitute the values of r, h, and k in the form of the equation above
∵ (x - 2)² + (y - -5)² = (12)²
∴ (x - 2)² + (y + 5)² = 144
∴ The equation of the circle is (x - 2)² + (y + 5)² = 144
1.6-4.7n+0.23=-4.4n+2.94 Provide step by step please
Answers
Answer:
n= 0.121978
Step-by-step explanation:
1.6-4.7n+0.23=-4.4n+2.94
4.7n+1.83=-4.4n+2.94
4.7n=-4.4n+2.94-1.83
4.7n=-4.4n+1.11
4.7n+4.4n=1.11
9.1×n=1.11
n=1.11/9.1
n=0.121978
Answer:
n=-3.7
Step-by-step explanation:
1.6-4.7n+0.23=-4.4n+2.94
-4.7n+1.83=-4.4n+2.94
+4.4n both sides
-0.3n+1.83=2.94
-1.83 both sides
-0.3n=1.11
Divide 3 both sides
n=-3.7
{(1, 1), (2, 2), (3, 5), (4, 10). (5, 15)}
Function:
Domain:
Range:
HELPPPPPP
Answers
Answer:
domain is 1,2,3,4,5
rang is 1,2,5,10,15
Step-by-step explanation:
Domain is x
Range is y
Find slope and substitute for function
1) Choose the correct answer.
The ___ of two sets is the set of elements that could be found in both sets at the same time.
intersection
union
conjunction
disjunction
Answers
Answer:
Intersection
Step-by-step explanation:
The intersection of two set A and B is defined as the elements which can be found in both set A and set B.
For instance :
A = {1, 3, 5, 7, 9, 11}
B = {2, 4, 6, 7, 8, 9, 10}
The intersection of the two sets A and B denoted as ;
AnB = {7, 9}
The energy that generates wind comes from what source A. Soar radiation B. Magnetic attraction C. Moon's gravity D. Coriolis effect
Answers
Answer:
A. Soar radiation
Step-by-step explanation:
Blowing wind rotates the wind turbine and generates the energy called wind energy. More the speed of wind, more the energy can be generated.
That's how, wind energy depends on the speed of the wind and the speed of the wind is due to the pressure difference in various regions.
The zone having more solar radiation has low pressure and the zone having less solar radiation have high pressure of air and winds flows from high to low-pressure zone.
Therefore, the energy that generates wind comes from what source soar radiation.
Hence, option (A) is correct.
Lucy and JoJo need to make 140 cupcakes for the school dance. Lucy made 35 of the cupcakes JoJo made 42 cupcakes What fraction of the cupcakes do Lucy and JoJo still need to make? (Use / as a fraction bar.)
Answers
Answer:
16/35
Step-by-step explanation:
From the question we are given:
total number of cupcakes needed for the school dance = 140 cupcakes
Lucy made 35cupckes
JoJo made 42 cupcakes
Total cupcakes made by JoJo and Lucy = 35+42 = 76cupcakes
Remaining cupcakes still needed to be made = 140 - 76 = 64cupckes
Fraction of the cupcakes that Lucy and JoJo still need to make = 64/140
Fraction of the cupcakes that Lucy and JoJo still need to make = 16/35
Hence the fraction of the cupcakes that Lucy and JoJo still need to make is 16/35
Answer:
16/35
Step-by-step explanation:
What are all the exact solutions of square root 2 cosx-1=0 for 0 less than or equal to x less than or equal to 2 pi ?Give your answer in radians.
Answers
Answer: [tex]x=\frac{\pi}{4}\ or\ \frac{7\pi}{4}[/tex]
Step-by-step explanation:
Given equation is
[tex]\sqrt{2}\cos x-1=0[/tex]
solving this
[tex]\sqrt{2}\cos x=1\\\cos x=\frac{1}{\sqrt{2}}[/tex]
There can be two solution because [tex]0<x<2\pi[/tex]
[tex]\cos x=\cos \frac{\pi }{4}\ or\ \cos (2\pi -\frac{\pi}{4})\\[/tex]
so, [tex]x=\frac{\pi}{4}\ or\ \frac{7\pi}{4}[/tex]
Answer:
The answer would be
B
Step-by-step explanation:
What are all the exact solutions of square root 2 cosx-1=0 for 0 less than or equal to x less than or equal to 2 pi ?Give your answer in radians.
What’s the answer?????
Answers
Answer:
1963.85
Step-by-step explanation:
2√72 + 5√242 what is the answer for this question please can u tell me the right answer
Answers
Answer:
67[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Assuming you require to simplify the expression.
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Simplifying the radicals
[tex]\sqrt{72}[/tex] = [tex]\sqrt{36(2)}[/tex] = [tex]\sqrt{36}[/tex] × [tex]\sqrt{2}[/tex] = 6[tex]\sqrt{2}[/tex]
[tex]\sqrt{242}[/tex] = [tex]\sqrt{121(2)}[/tex] = [tex]\sqrt{121}[/tex] × [tex]\sqrt{2}[/tex] = 11[tex]\sqrt{2}[/tex]
Then
2[tex]\sqrt{72}[/tex] + 5[tex]\sqrt{242}[/tex]
= 2(6[tex]\sqrt{2}[/tex] ) + 5(11[tex]\sqrt{2}[/tex] )
= 12[tex]\sqrt{2}[/tex] + 55[tex]\sqrt{2}[/tex]
= 67[tex]\sqrt{2}[/tex]
7. Renting bowling shoes costs $5. Bowling costs $4
per game. Which equation can be used to find y, the
total cost of bowling, if x represents the number of
games played.
A. y = 5x + 4
B. y = 5 + 4x
C. y = 5x + 4x
D. y = 5x - 4
Answers
Answer:
B. y = 5 + 4x
Step-by-step explanation:
x represents the number of games played so its y = 5 + 4x because bowling costs $4 per game
Tyler practiced the clarinet for 64% as much time as Han practiced tge piano. How long did he practice
Answers
Answer: 48 minutes
Step-by-step explanation:
Tyler practised only 64% as much as Han did.
The amount of time Tyler practiced is:
= 75 * 64%
= 48 minutes
The perimeter of a triangle is 34 feet. One side of the triangle is 2 times the second side. The third side is 2 feet longer than the second side. Find the length of each side
Answers
Answer:
6.4 feet
12.8 feet
14.8 feet
Step-by-step explanation:
let x = length of 1st side
let 2x = length of 2nd side
let 2x + 2 = length of 3rd side
add them all together and set sum equal to 34
x + 2x + 2x + 2 = 34
5x + 2 = 34
5x = 32
x = 6.4, which is 1st side
2x = 12.8, which is 2nd side
2x + 2 = 14.8, which is 3rd side
SOMEONE HELP PLEASE!!! BRAINLY TO FIRST PERSON TO ANSWER CORRECTLY
Answers
Answer:
[tex]3\ in.^{3}[/tex]I think the answer is [tex]3\ in.^{3}[/tex] because the math adds up easily for this equation.
#TeamTrees
Hope this helps! <3
When a certain polygon is rotated 60° counterclockwise, it is carried onto itself.
Select all the shapes below that this could describe.
pentagon
pentagon
hexagon
hexagon
octagon
octagon
nonagon
nonagon
dodecagon
dodecagon
Answers
When a hexagon is rotated 60° counterclockwise, it is carried onto itself.
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Rotation is the rotation of a figure about a given point.
The exterior angles of a regular hexagon measures 60 degrees each, hence:
When a hexagon is rotated 60° counterclockwise, it is carried onto itself.
Find out more at: https://brainly.com/question/11707700