The transformed function is defined by:
g(x) = -f(x/5 - 2) - 6
Where f(x) is the given function.
How to get the equation of the transformed function?Here we start with the function:
f(x) = (1/3)*x
(I don't know if this is the actual function, but that does not matter, I will solve it in a general way).
If first, we reflect it vertically, then the new function is:
g(x) = -f(x).
If now we compress it horizontally by a factor of 5, then we get:
g(x) = - f(x/5)
Now we shift it 2 units to the right, then:
g(x) = -f(x/5 - 2)
Finally, we shift it down 6 units, then we get:
g(x) = -f(x/5 - 2) - 6
That is the general form of the function g(x).
Replacing f(x) by what is defined above, we get:
g(x) = -(1/3)*(x/5 - 2) - 6
If you want to learn about transformations:
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eliminate the parameter in the equations x=5cos(t) -7 and y=5sin(t)+9. how can the rectangular equation be described?
circle
ellipse
parabola
hyperbola
Answer:
the answer is A
Step-by-step explanation:
The parameters represent a circle with a radius of 5 units, centered at (-7,9) and the equation of the circle is (x + 7)² + (y - 9)² = 5².
Deducing the figure from the parameters:The given equations are:
x = 5cos(t) - 7, and
y = 5sin(t) + 9
if we rearrange the above equations we get:
(x + 7) = 5cos(t), and
(y - 9) = 5sin(t)
Taking square of both equation we get:
(x + 7)² = 25cos²(t), and
(y - 9)² = 25sin²(t)
Now, adding the equations we get:
(x + 7)² + (y - 9)² = 25cos²(t) + 25sin²(t)
(x + 7)² + (y - 9)² = 25
(x + 7)² + (y - 9)² = 5²
This is an equation of a circle with a radius of 5 units and the center at (-7,9)
since, the equation of a circle with radius R units and centered at (a,b) is given by:
(x -a)² + (y - b)² = R²
Learn more about equation of a circle:
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25a² -4b²+28bc-49c² factorize
Step-by-step explanation:
Since both terms are perfect squares, factor using the difference of squares formula,
Step-by-step explanation:
= 25 a²- ( 4b²- 28bc +49c²)
=. 25a²- {( 2b)²- 2(2b)(7c)+ (7)²}
= 25a²- { (2b - 7c)²}
= (5a)²- (2b -7c)²
= { 5a -(2b-7c)} { 5a+ ( 2b-7c)}
= ( 5a - 2b +7c) ( 5a +2b - 7c)
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
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Find the inverse of each function. f (x) = 2x − 4
Helppppppppppppppppppp
Answer:
1.base
2.Quitiont
3.subtract
4.product
5 multiply the exopnent.
Please can someone help thanks :)
Answer:
x=124
Step-by-step explanation:
The ratio of the interior angles of a triangle is 1 : 3 : 5. What are the angle measures? Write the angle measures from least to greatest.
Answer:
angles
1x
3x
5x
1x +3x +5x = 180 (ASP)
9x = 180
x= 180÷9
x= 20
1x= 20
3x= 60
5x=100
angles are 20°, 60°, 100°
Step-by-step explanation:
hope it helps u
Elan took his cat and dog to the vet, his cat weighed 482 pounds, and his dog weighed 158 pounds, how much pounds did his dog weigh?
Please help due today
Answer:
23 = 1
46 = 2
92 = 4
138 = 6
Step-by-step explanation:
hope this helps
Whitney works at an aquarium. She uses hoses of different sizes to fill the fish tanks. Hose A takes 16 min to fill a 160-gal tank. Hose B takes 30 min to fill a 240-gal tank.
Which hose fills at a faster rate?
Choose one option from each drop-down menu to answer the question.
Hose A fills at a rate of Choose... 0.1, 10, 144, 160 gal per min.
Hose B fills at a rate of Choose... 0.125, 8, 210, 240 gal per min.
Hose Choose... A or B fills at a faster rate.
Answer:
Hose A fills at a rate of 10 gal per min
Hose B fills at a rate of 8 gal per min
Hose B fills at a faster rate
Step-by-step explanation:
Answer:
Hose A=10 gal per min
Hose B=8 gal per min
Hose A is faster
Step-by-step explanation:
A) 160 gallon/16 minutes=10 gallons per minute
B) 240 gallon/30 minutes=8 gallons per minute
Find g. 45° 45° g 3
[tex]3 \sqrt{2} [/tex]
Write your answer in simplest radical form, units
Step-by-step explanation:
sin45=3√2/g
g=3√2/(1÷√2)=3×√2×√2=3×2=6units
Answer:
g = 6 units
Step-by-step explanation:
In the given right angled triangle , rest 2 angles are same i.e. 45° each.
Lets assume the angle opposite to the side whose measure is 3√2 units as α (alpha).
⇒ α = 45°
So ,
[tex]\sin \alpha = \frac{side \: opposite \: to \: \alpha }{hypotenuse}[/tex]
[tex]=> \sin 45 = \frac{3\sqrt{2}}{g}[/tex] ( [tex]\alpha = 45[/tex] )
[tex]=> \frac{1}{\sqrt{2}} = \frac{3\sqrt{2}}{g}[/tex] (∵ [tex]\sin 45 = \frac{1}{\sqrt{2}}[/tex] )
[tex]=> g = 3\sqrt{2} \times \sqrt{2} = 6[/tex]
Five Saturnians are shown below. Bruce is frowning and has the same antennae as Eve. Abby and Cindy are both smiling but only one has three eyes. Dave, Eve, and Cindy all have the same number of eyes. Eve is pictured directly to the left of Dave. Which Saturnian is smiling and has curved antennae.
Answer:
! will edit once i get a response !
Step-by-step explanation:
do you have a picture? if so, please upload it
PLS HELP QUICK !!!!!!!
what is the area of this figure?
Answer:
... what figure?
Step-by-step explanation:
you forgot to add a picture
Answer:
ummmm what...?........
Question
Identify the transformation that was applied to this letter.
y
R
B
A. Reflection over the x-axis
B. Rotation about the origin
C. Reflection over the yaxis
D. Translation
Answer: Your answer would be A :)
Step-by-step explanation:
Answer:A
Step-by-step explanation:
I took the quiz apeex
In Vicky's rose garden, 2 of the rose bushes are blooming and the other 17 rose bushes are not blooming. What is the ratio of the number of bushes that are blooming to the total number of bushes?
Answer:
2 : 19
Step-by-step explanation:
We know 2 of the bushes are blooming (this is the left number in my answer) but the other 17 are not. Neither of these is the total number of bushes. To find that, we need to add these together to get 2 + 17 = 19.
This means 2 out of 19 rose bushes are blooming.
Hope this helps! Have a great day!
giving brainliest to whoever answers correctly, help please!!!
Answer:
Kyle is correct, the quadrilaterals are not similarStep-by-step explanation:
Measure the corresponding sides and verify if the ratios are same or not.
Corresponding sides:
AB and LM, BC and MN, CD and NO, AD and LOThe measures, using coorinates and the distance formula:
AB = √(2-1)² + (4-3)² = √2LM = √(16-14)² + (4-6)² = √8 = 2√2BC = √(5-2)²+(5-4)² = √10MN = √(23-16)²+(2-4)² = √53We can see the ratios of the two pairs are not same:
AB/LM = 1/2BC/MN = √10/531/2 ≠ √10/53We can state that Kyle is correct
Mrs. Trotta drives a total of 378 miles over 6 days. She drives the same amount of miles each day. How many miles does Mrs. Trotta drive each day?
Answer:
63 miles per day
Step-by-step explanation:
The miles she drove: 378
Number of days: 6
Solve:
378/6= 63
Check your math:
63*6=378
Hope this helps!
Consider the following two quadratic equations.
4x ^ 2 - 12x + 4 = - 4
- x ^ 2 + 4x - 3 = 0
What solution is true for BOTH equations?
Answer:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero. x=2,12. Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
x=3,1
Step-by-step explanation:
Hope it is helpful.....
Answer:
x = 1
Step-by-step explanation:
Solving the equations
4x² - 12x + 4 = - 4 ( add 4 to both sides )
4x² - 12x + 8 = 0 ( divide terms by 4 )
x² - 3x + 2 = 0 ← in standard form
(x - 1)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 2 = 0 ⇒ x = 2
-------------------------------------
- x² + 4x - 3 = 0 ( multiply through by - 1 )
x² - 4x + 3 = 0 ← in standard form
(x - 1)(x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 3 = 0 ⇒ x = 3
The solution that is true for both equations is x = 1
I NEED HELP PLS ASAP
ab=
round to the nearest hundredth
a=10t+0 find the y intercept
Answer:
0
Step-by-step explanation:
The y intercept is the constant in this equation, as in the only number unaccompanied or affected by a variable. In this case, assuming y is a and x is t, the y intercept is 0. You can test this by plugging in y=10x+0 into a graphing calculator. The y intercept is where x equals 0, and so if you plug in 0 for x, the result (in this case 0) is the y intercept. Hope this helps, brainliest is always appreciated and have an amazing day!
Math has me dead. Looks simple but it really isnt that easy.
Answer:
I am pretty sure the answer is A. I really hope this helps
Step-by-step explanation:
I dont have time to explain it im sorry my next class starts in 3 mins
Answer:A
Step-by-step explanation:
Five friends share 6 snacks equally.
How many fruit snacks will each friend get?
Answer:
A
Step-by-step explanation:
y=-1/2-16K+10 in vertex form
Step-by-step explanation:
Let's solve for k.
y=
−1
2
−16k+10
Step 1: Flip the equation.
−16k+
19
2
=y
Step 2: Add (-19)/2 to both sides.
−16k+
19
2
+
−19
2
=y+
−19
2
−16k=y+
−19
2
Step 3: Divide both sides by -16.
−16k
−16
=
y+
−19
2
−16
k=
−1
16
y+
19
32
Answer:
k=
−1
16
y+
19
32
i really need help please i am failing amth
Answer:
The correct answer is 95 degree........
Answer:variable is 75
Step-by-step explanation:
uhh- well uh i need help and it would be lovely if ya’ll helped ty very much
Answer:
x + 3 = y
Step-by-step explanation:
Hope that helps!
4. Use SUBSTITUTION to solve the system. x= y + 5 2y + x = -4
Answer:
if I I just want free point so I am
secA-tanA/secA+tanA=cos^2A/(1+sin^2A) could somebody prove this pls......
9514 1404 393
Answer:
it cannot be proven
Explanation:
You cannot prove what isn't true.
We know you know how to use parentheses, so we take the left-side expression at face value. The left-side and right-side functions are different, so cannot be proved to be the same, except at specific angles.
Jason buys a Play Station 5 from Amazon for $500 and wants to sell it at a 50% markup. How much does Jason want to sell the PS5 for?
Suppose that the height H of a Ferris wheel can be modeled by the function H(A=-16cos(pi t/45)+24 where t is the time in seconds. What is the maximum height of a cabin? Use 3.14 for pi
Answer:
Step-by-step explanation:
Range of cosine is -1 to 1
Range of height is 8 to 40
Anthony went shopping for a new pair of sneakers. Sales tax where he lives is 4%. The price of the pair of sneakers is $37. Find the total price including tax. Round to the nearest cent
Answer:
$38.48
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