The function f(x)=x−−√ is reflected over the x-axis, translated 4 units down and 5 units to the left, then vertically stretched by a factor of 3. Which equation best represents the new function created?
Answer:
U dry aint put a answer
Step-by-step explanation:
Transformation involves changing the position of a function.
The equation of the new function is: [tex]\mathbf{g(x) = -3\sqrt{x + 5} - 12}[/tex]
The function is given as:
[tex]\mathbf{f(x) = \sqrt x}[/tex]
The rule of reflection across the x-axis is:
[tex]\mathbf{(x,y) \to (x,-y)}[/tex]
So, we have:
[tex]\mathbf{f'(x) = -\sqrt x}[/tex]
The rule of translation, 4 units down and 5 units left is:
[tex]\mathbf{(x,y) \to ( x + 5,y-4)}[/tex]
So, we have:
[tex]\mathbf{f"(x) = -\sqrt{x + 5} - 4}[/tex]
The rule of vertical stretch by a factor of # is:
[tex]\mathbf{(x,y) \to (x,3y)}[/tex]
So, we have:
[tex]\mathbf{g(x) = 3(-\sqrt{x + 5} - 4)}[/tex]
[tex]\mathbf{g(x) = -3\sqrt{x + 5} - 12}[/tex]
Hence, the equation of the new function is:
[tex]\mathbf{g(x) = -3\sqrt{x + 5} - 12}[/tex]
Read more about transformation at:
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Item 1
Joanna has of a gallon of milk left that has an expiration date in 6 days. If she splits the milk
equally among her next 6 bowls of cereal, how much milk will she use in each bowl?
Answer:
Joanna will use 1 gallon of milk in each bowl.
Step-by-step explanation:
Divide 6 into 6 bowls to get 1
how do I solve mn + 9 when m= 5 and n= 3 do I multiply?
Answer:
yes u would multiply
Step-by-step explanation:
Como parte de un ejercicio topográfico, Salma debe hacer un registro del terreno donde está construido el Taj Mahal que es de 580m de largo x 300m de ancho. Y suponiendo que 9 ayudantes trabajarán junto con ella, ¿cuántos metros cuadrados le toca registrar a cada quién POR DÍA durante un mes? Supongamos que el mes tiene 30 días.
cual es la respuesta? porfa urge
Queremos ver cuantos metros cuadrados debe registrar cada integrante del grupo por día.
Veremos que cada integrante debe registrar 580m^2 por día.
La informacion que se nos da es:
Sabemos que los integrantes son 10, Salma y sus 9 ayudantes.El área que deben investigar esta dada por: 580m*300m = 174,000 m^2Disponen de un total de 30 días para trabajar.Conociendo el área y el número de integrantes, el área que le tocara a cada integrante está dada por:
a = 174,000 m^2/10 = 17,400 m^2
Y sabemos que tendran 30 días para registrar esa área, entonces asumiendo que en cada día registran una cantidad fija de superficie, lo que deben registrar cada día está dado por:
d = a/30 = 17,400 m^2/30 = 580m^2
Eso es lo que cada integrante debe registrar por día,
Sí quieres aprender más, puedes leer:
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Find the value of the power. (2/3)3
Answer:
8/27
Step-by-step explanation:
[tex](\frac{2}{3})^3 = \frac{2}{3} * \frac{2}{3} * \frac{2}{3} = \frac{8}{27}[/tex]
( ax + 2 ) ( bx - 4 )
Answer:
Step-by-step explanation:
(ax + 2 )(bx - 4 ) = ax *(bx - 4) + 2*(bx - 4)
= ax*bx - 4*ax + 2*bx - 4*2
= abx² - 4ax + 2bx - 8
Answer:
[tex]=ax^2b-4ax+2bx-8[/tex]
Step-by-step explanation:
helppppppppppppppp plsssssssssss
Answer:
y=5/1 - 3
Step-by-step explanation:
use rise over run
Complete the table for y=2x-3
Answer:
See attachment also
Step-by-step explanation:
Let y be 0 at first.
Now let x be 0.
y | 0 -3
x | 1.5 0
Can someone pls help me
Answer:
I'm not sure, but I'll try
Step-by-step explanation:
(Side)^2 = (Hypotenuse)^2 - (Side)^2
(Side)^2 = (9)^2 - ( √ 65 )^2
(Side)^2 = (81) - (65)
(Side)^2 = 16
Take root of answer
Side = √16
Side = 4
Answer = 4
_________
[tex] \: [/tex]
a² = c² - b²
a² = 9² - (√65)²
a² = 81 - 65
a² = 16
a = √16
a = 4
Can someone help me please. Write the equation to show what would happen on the 9th term
plz help me what the coordinate points for each
Answer:
A. (-4, -3)
B. (5, 3)
C. (-1, 3)
Step-by-step explanation:
Ok, bear with me, its been a while since I have done this so make sure you double check.
A. So, we already know where point A is(1,-3) and we need that to find B
It says we need a reflection which is basically mirroring it across the y-axis(note: if it were across the x-axis then this would turn out much differently.)
Its hard to explain but i will tell you that reflecting point A will give us (-1, -3)
Now we need to translate it 3 units to the left
(-4, -3)
B. Ok, next we have point C which is a reflection using the x-axis (now you will see how important it is to make sure you are reflecting in the right place.) Over the x-axis, will give us (1, 3).
Now we need to translate to the right... (5, 3)
C. Point D... we need to rotate it. Now, rotating is a little bit more work than reflecting and translating but its not hard.
since we are rotating 180 degrees then we are basically just turning it around halfway from 360...
A is (1, -3) so D would be (-1, 3)
Hope this helps :)
Which angle in the isosceles triangles is the biggest?
Answer:
Since the two base angles are congruent (same measure), they are each 70°. If we are given a base angle of say 45°, we know the base angles are congruent (same measure) and the interior angles of any triangle always add to 180°.
Answer:
degrees
Step-by-step explanation:
Find an ordered pair (x, y) that is a solution to the equation
3x+y=7
(x,y) = 0.0
X 00
?
Answer:
(0, 7) is an ordered pair solution to 3x + y = 7
Step-by-step explanation:
Given the equation 3x + y = 7, find a solution (ordered pair).
There are an infinite number of possible solutions. Let's focus on just one:
Let x = 0. Then y = 7, and (0, 7) is an ordered pair solution to 3x + y = 7
a basket holds n apples. U-Pick 2n-3+ apples, and your friend picks n+4 apples. How many apples do you and your friend pick all together? How many baskets do you need to carry all the apples? Justify your answer.
Answer:
3n+1
Step-by-step explanation:
2n-3+n+4=3n+1
...............
solution:
1. A carnival charges $2.50 per
ride
after an entrance fee. You paid a total
of $22.50 after 6 rides and the initial
entrance fee.
a. Write an equation that gives the
total cost as a function of the number
of rides.
1
b. Find the total cost for 10 rides.
Answer:
a. 2.50(6) + X = 22.50
b. $25.00
Step-by-step explanation:
A.
a ride = $2.50
total spent = $22.50
2.50(6) + X = 22.50
15.00 + X = 22.50
X = 22.50 - 15.00
X = 7.50
entrance fee = $7.50
B.
10*2.50= $25.00
Answer:
$22.50
Step-by-step explanation:
:)
At a school event, adults are seated in groups of exactly 6 and children are seated in groups of exactly 12. If there are the same number of adults as children, what is the minimum number of adults attending?
Answer:
72 is the minimum amount of adults
Step-by-step explanation:
brainliest please
These are two similar triangles
What is the measure of x?
24
12
X
4
x = [?]
=
Find the value of each variable.
Answer:
x=17
Step-by-step explanation:
their interior angles so they equal each other
40=2x+6
34=2x
x= 17
100- 58.90 is equal to what
Answer:
41.1
Step-by-step explanation:
use calculator
What is the slope-intercept equation
for the following line?
Answer: y = -1/2x + 1
Write a possible polynomial function in factored form with roots 0, -2, and 7. Group of answer choices
f(x)=(x+1)(x+2)(x−7)
f(x)=x(x+2)(x−7)
f(x)=x(x−2)(x+7)
f(x)=(x+2)(x−7)
Answer:
2nd option
Step-by-step explanation:
Given x = a is a root of a polynomial function then (x - a) is a factor
Given roots are x = 0, x = - 2, x = 7 , then corresponding factors are
(x - 0) , (x - (- 2) ) , (x - 7) , that is
x , (x + 2) , (x - 7)
The polynomial function f(x) is then the product of the factors, so
f(x) = x(x + 2)(x - 7)
Find the measure of the missing angle.
Answer:
a = 34
Step-by-step explanation:
Tell me in the comments if you want an explanation!
Hope This Helps! •v•
Please help me with this geometry
Answer:
no
Step-by-step explanation:
How would you teach something you have learned this year in Math to someone younger than you? Write more than 5 sentences
Answer:
ok here ya go
Step-by-step explanation:
A way that I would teach someone something that I learned in math this year to someone else is simple. I would start by writing everything out so that they have a visual of what I am teaching them. I would also use a visual of a real world situation so that it relates to something they would understand. Teaching someone younger than you means they probably will not understand as easy as you understood it so, I would be very slow and make sure if they are confused to help them. I would also make sure not to be too bossy, understanding that they may not understand and that is ok.
Given (x-2)2/25 +(y+3)2/4
<1, which point lies in the solution set
Answer:
B. (3, -2.5)
Step-by-step explanation:
Got it Right on EDGE
please do this for me
Answer:
63 degrees
Step-by-step explanation:
HINT: know that in a triangles angles add up to 180 degrees.
1. 96+21= 117
2. 180-117=63
3. 63 degrees
6 friends go strawberry picking. They pick 30 strawberries on Friday and 12 strawberries on Saturday. How many strawberries dose each person get?
The line passes the points (-6,2) and (3,-5)
Answer:
Slope-intercept form:
y = -7/9x - 8/3
The slope:
m = -7/9
Picture is of it graphed
help me help me help me help me help me
Answer:
2/5 * 4/5 = 8/25 7/9 * 2/3 = 14/27 4/7 * 2/3 = 8/21 1/6 * 7/8 = 7/48 2/3 *3/9 = 2/9
Step-by-step explanation: Just multiply the top with top and bottom with the bottom To draw = just use a ruler for the width we know if you measure the square box say it is already { 20 mm } wide then you 2 * 4 = 8 is 2/5 of 20 so you shade the 8mm Then to get the 4 as ultiplier we know 20/5 =4
on a shopping trip, Gina buys two books priced $4.99 and $12.99. She also buys 2 notebooks, 2 packs of pencils, and 3 composition books. The books are on sale for 10% off the list price and school supplies are 15% off. The store charges 6.5% sales tax. Item Cost ($) Notebooks 2.88 Composition Books 0.79 Pencil Packs 1.89
The total cost of items Gina bought on her shopping trip given the percentage discount is $26.31
Given:
cost of two books = $4.99 + $12.99
= $17.98
Amount paid for books = $17.98 - 10% of $17.98
= 17.98 - 0.1 × 17.98
= 17.98 - 1.798
= $16.182
Cost of notebooks = quantity × price
= 2 × $2.88
= $5.76
cost of composition books = quantity × price
= 3 × $0.79
= $2.37
cost of pencil packs = quantity × price
= 2 × $1.89
= $3.78
Total cost = $5.76 + $2.37 + $3.78
= $11.91
Amount paid for school supplies = $11.91 - 15% of $11.91
= 11.91 - 0.15 × 11.91
= 11.91 - 1.7865
= $10.1235
Therefore,
total cost of all items Gina bought = $16.182 + $10.1235
= $26.3055
Approximately, $26.31
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