Answer:
Step-by-step explanation:
Reflecting a function across the Y axis means replacing x with -x.
First one could *almost* work, if there wasn't the minus sign at the beginning, so it's a no.
Second one is also a no, the original one is always positive, the second one is always negative.
3rd one is reflecting the graph all right, but it's also adding some sort of stretch (try with the point x=1 in both cases, [tex]f(1) = \frac 32[/tex] while [tex]g_3(1) = 2/3[/tex]
4th one is the charm.
The function that represents a reflection of f(x) = (3/8) 4^x across the y-axis is [tex]g(x) = (3/8) 4^{-x}.[/tex]
Option D is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To reflect the function f(x) = (3/8) 4^x across the y-axis, we need to replace x with -x in the function.
This will cause the function to be reflected across the y-axis.
So,
The function that represents the reflection of f(x) = (3/8) 4^x across the y-axis is:
g(x) = (3/8) 4^(-x)
We replaced x with -x in f(x) and simplified to obtain g(x).
Therefore,
The function that represents a reflection of f(x) = (3/8) 4^x across the y-axis is [tex]g(x) = (3/8) 4^{-x}.[/tex]
Learn more about functions here:
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if a pool is 20,000 gallons and when the hose is placed in the pool to start filling up there are already 5000 gallons in there. The pool is filling up at a 1250 gallons per hour rating. how long would it take to fill up?
Answer:
12 hours
Step-by-step explanation:
Given trapezoid WXYZ, what is XY?
Answer:
XY = 16 ft
Step-by-step explanation:
The mid segment DE is half the sum of the parallel bases, that is
[tex]\frac{XY+WZ}{2}[/tex] = 20 ( multiply both sides by 2 to clear the fraction )
XY + WZ = 40
XY + [tex]\frac{3}{2}[/tex] XY = 40 ( multiply through by 2 to clear the fraction )
2XY + 3XY = 80
5XY = 80 ( divide both sides by 5 )
XY = 16
Please help me with this question. I don't think I understand it. Quadratic functions graphing #15-19.
Will pick brainliest answer, thank you :)
Answer:
15) (1, 1) and (-1, 1)
16) (1, 2) and (-1, 2)
17 (1,1/2) and (-1, 1/2)
18) (1,1/4) and (-1, 1/4)
19) 16 is vertical stretch, 17 and 18 is vertical compressed
Step-by-step explanation:
for qs 15-18 since x is 1 or -1 if you sq 1 or -1 you will always get 1
so y is the "a" value in the equation y=ax²
for qs 19
y=ax²
so if a>1 -- then vertical stretch
when 0<a<1 -- then vertical compressed
There are three main parts to a division problem: the dividend, the divisor, and the quotient. The dividend is the number that will be divided. The divisor is the number of “people” that the number is being divided among. The quotient is the answer.
Answer:its a because its a
Step-by-step explanation:
Answer:
it is the letter a
Step-by-step explanation:
(3^-2 × 4^-2)^-3 = 12^x
In the given expression find the value of x.
Given that (3^-2×4^-2)^-3 = 12^x
⇛ [(3×4)^-2]^-3 = 12^x
Since a^m × b^m = (ab)^m
⇛(12^-2)^-3 = 12^x
⇛ 12^(-2×-3) = 12^x
Since (a^m)^n = a^mn
⇛ 12^6= 12^x
⇛6 = x
Since the bases are equal then exponents must be equal
Therefore,x = 6
Additional comment:-
If the bases are equal then exponents must be equal.
also read similar questions:- will give brailiest will give brailiest Which expression models the given phrase? half of the product of x and 3. 3x/2 (3+x)/2 2(3x) 2(x+3) Simplify the followi...
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help me please (show work)
Answer: A, B, C, and D have the same volumes: 100 units^3
Step-by-step explanation:
The details are attached. Use the volume formula for the respective shapes. Bear in mind that B is he area of the base (I assume). It is the
[tex]\pi[/tex][tex]r^{2}[/tex] in the formulas that have a round base, and the width x length for bases that are rectangular (or square).
what is the slope of the line?
Answer:
The slope is 3 or 3/1
Step-by-step explanation:
9 is multiplied by the cube of a number.
Answer:
81
Step-by-step explanation:
9×9=81
also known as 9²
Help meeeeeeeeeeeeee asapppp
Write two expressions for the perimeter of the figure.
Answer:
(a) 5 + 7 + 6x + 8x + 6
(b) 18 + 14x
Step-by-step explanation:
Shop A has repaired 55 cars and repairs
5 more each week. Shop B has repaired
30 cars and repairs 10 more each week.
How many weeks (w) will it be before
Shop B repairs as many cars (C)
as Shop A?
C5W + 55
C= 10W + 30
Using a system of equations, it will take 5 weeks for Shop B to repair as many cars as Shop A.
What is a system of equations?A system of equations is called simultaneous equations.
Simultaneous equations are two or more equations solved concurrently.
Shop A Shop B
The number of cars already repaired 55 30
The number of cars repaired per week 5 10
Let the number of cars repaired by Shop A in w weeks = 5w + 55
Let the number of cars repaired by Shop B in w weeks = 10w + 30
For the number of cars repaired by each shop to equate, 5w + 55 = 10w + 30
5w - 10w = 30 - 55
-5w = -25
w = 5
Thus, using simultaneous equations, we can conclude that it will take Shop B 5 weeks to repair as many cars as Shop A.
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8
Which does NOT describe the quadrilateral below?
O A. trapezoid
B. square
C. parallelogram
О
D. rectangle
divide 81 ft in the ratio 5 :4
Answer:
Rr = 51 : 68
Step-by-step explanation:
For the equation y = -x +5, find y when x = -2
Answer:
y = 7
Step-by-step explanation:
y = -x + 5
when x = -2
y = - (-2) + 5
Double negative is positive
y = 2 + 5
y = 7
Answer:
y=7
Step-by-step explanation:
When x=-2,
y=-x+5
=-(-2)+5
=2+5
=7
Grace rides her bike 21 km in 1 1/6 hours. What is her average speed in kilometers per hour?
Explain how to apply the substitution property of equality to the equation
a
+
42
=
b
if
a
=
−
16
and
b
=
26
.
Answer: Substitute the values given. The equation is a + 42 = b. Since a = -16 and b = 26, the equation will become -16 + 42 = 26. This equation holds true so it is correct.
Would appreciate brainliest <3
You ordered several pizzas from
Tonys Pizzeria, The pizzas cost
$50 but you also have to pay 6%
tax and want to leave a 10% tip.
How much will you pay in total,
after the tax and tip?
PLEASE HELP MEEEEEEEE
no links allowed please)What is the value of the expression 17.36 ÷ 2.8?
5.2
6.2
7.2
8.2
Answer:
7.14
Step-by-step explanation:
Rob is saving to buy a new MP3 player. For every $13 he earns babysitting, he saves $9. On Saturday, Rob earned $52 babysitting. How much money did he save?
Answer:
$36
Step-by-step explanation:
$13 babysitting, $9 saved.
$52 babysitting, $x saved.
Cross multiply
13/13x=468/13
Divide both sides by 13
x=$36
A color printer prints 23 pages in 10 minutes. How many minutes does it take per page?
your amazing and beautiful or handsome or whatever you are comfortable with!:D
Answer:
1. C
2. E
3. D
4. A
5. B
Step-by-step explanation:
1. It shows that the number of students decrease.
2. It increases more than the breakfast (B)
3. It's on thin line representing the students and workers whom stayed in the cafeteria.
4. It increases showing the same amount of students that entered the other day.
5. The same
YALL I RLLY DONT KNOW HOW I HAVE 13 OVERDUE ASSIGNMENTS BUT PLEASE HELPING ME JUST ON MATH would make my day....
Answer:
Should be second option: (-6.5,-3.5)
The actual coordinates are (-6.4,-3.6) but the points are rounded.
Step-by-step explanation:
Since these two lines are both in slope-intercept form, all you have to do is graph them, and what ever point they cross each other at, is the solution to this system of equations. (Hint: you can also go online and search desmos graphing calculator, to see how it's graphed, for additional help).
(I've graphed and labeled them for you above btw⤴⤴⤴)
Hope this helps you :)
Complete #25 (MUST SHOW WORK)
in the equation 3(x-1)=2x+c for what value of c will x=3? explain your reasoning.
Answer:
0
Step-by-step explanation:
if x is 3 then;
3(3-1)=2×3+c
c=0
so if c=0 then
x=3
At the football game, 3 hamburgers and 6 soft drinks cost $24, and 4 hamburgers and 3 soft drinks cost $22. Which two equations can be used to determine the price of a hamburger and the price of a soft drink?
Let x represent the cost of a hamburger and y represent the cost of a soft drink.
Answer: it would be A
Step-by-step explanation:
x the cost in dollars of a hamburger and y the cost in dollars of a soft drink.
The cost of 4 hamburguers can be represented with this expression:
4x
And the cost of 6 soft drinks can be represented with this expression:
6y
The total cost for 4 hamburgers and 6 soft drinks is $34, you can write the following equation
3x+6y=24
The following expression represents the the cost of 3 soft drinks:
3y
According to the information given in the exercise, the total cost for 4 hamburgers and 3 soft drinks is $25. Then, the equation that represents this is:
4x+3y=22
Vernon lives in New Mexico and pays 5% in sales tax. He bought an air conditioner, and the amount he paid after sales tax was $1527.75. What was the cost of the air conditioner before sales tax was applied?
x - 7 < -20 inequalify
ps. also tell me is it's closed or open ⭕ (I tried to get a picture and it wasn't working)
Step-by-step explanation:
x - 7 < -20
x < -20 + 7
x < -13
X = (-12, -11, -10,...)
[tex] \sf \longmapsto{x}−7<−20[/tex]
Let's start.
Add [tex]\text7[/tex]to both sides[tex] \sf \longmapsto \: x−7+7<−20+7[/tex]
Answer[tex] \sf \longmapsto \: x<−13[/tex]
Math pls I need help
Answer:
24
Step-by-step explanation:
First of all to check whether a number is divisible by 3 or not. We have to add the numbers and if the result is divisible by 3. Our number is divisible by 3 (no doubt). So 72 (7+2=9 is divisible by 3) ÷3 = 24
plsss helppp
can you pls do this?
Who many can fill it ?
Answer:
6×3×4= 72 unit cubes
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