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:
https://brainly.com/question/28533782
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A number b subtracted from seven is greater than eight. What is the sentence as an inequality?
Answer:
7 - b > 8
Step-by-step explanation:
I need a step by step explanation
n - 31
--------- = 2
4
Answer:
39
Step-by-step explanation:
4 x 2 = 8
8+ 31 is 39
I just need someone to explain this to me.
Answer:
23.6
Step-by-step explanation:
Answer:
23.6 is the correct answer
HELPPPPPP plsssssssssss
Answer:
270°
Step-by-step explanation:
∠ PQR = 90° ( angle in a semicircle )
PRST is a cyclic quadrilateral
The opposite angles in a cyclic quadrilateral are supplementary, sum to 180°
Then
∠ PRS + ∠ PTS = 180°
∠ PQR + ∠ PRS + ∠ PTS = 90° + 180° = 270°
expand and simplify (x-2)(x-3), please help
Answer:
hope it helps you
(•‿•).........
GIVING BRAINLIEST PLEASE HELP
Answer:
S=16×2
S=32
................................
A chest shaped as a rectangular prism can hold 432 wooden cube blocks with edge lengths of 13 ft. What is the volume of the chest? Enter your answer in the box.
Answer:
i believe it is 16
Step-by-step explanation:
Use a calculator to find log 0.0019. round answer to 2 decimal places
Answer:
Step-by-step explanation:
-2.72
The steps used to solve this are (for most calculators ) is
log
0.0019
=
If you do not own a scientific calculator, you can use the one that came from windows.
Unfortunately it is slightly different. Make sure you are in scientific mode. Type in 0.0019. Then click on log. Same answer just much longer.
Mandy has 1 drink and Karl has 2 Mandy takes all of Karl's drinks
Answer:
What is this question asking? If you give me a question to answer I can help you.
Step-by-step explanation:
Is anyone can do this?
Answer:
Surface of[tex]35,875.86 cm^2[/tex]
Voliume of [tex]234,671.58 cm^3[/tex]
Long and painful calculations
Ok, this is going to take some time. The volume is the sum of all the solids, minus the half cylinder that makes the "tunnel" beneath it. That said, we can split the item into 3 main shapes, and the cylinder: The pyramid in the top left, the square based prism below the pyramid, and the trapezoid prism to the right. I edited a bit the image with paint to add measurements. It's paint so quality is what it is and deal with comic sans as a font.
Let's find the total surface first. We have the surface of the four faces of the pyramid, which are triangles of base 54 and height (red line)[tex]\sqrt{36^2+(\frac{54}2)^2} =\sqrt{2025}=45cm[/tex], givins us a total area of [tex]4\times \frac{bh}2 = 2\times 45\times 54 = 4860 cm^2[/tex]
We add the two lateral faces of the left prism: they are two rectangles of side length 70 and 54, for a total area of [tex]2(70)(54) = 7580 cm^2[/tex]
Take the rectangle to the side of the prism, of sides 54 and 70-34 = 36, giving an area of [tex]54\times 36 = 1944 cm^2[/tex]
Pick the inclined "roof" of the right prism, again a rectangles, sides 54 and 61: surface is [tex]3294 cm^2[/tex]
Two side faces of the right building: first pick the height (magenta line), with pythagorean theorem again, equal to [tex]\sqrt{ 61^2-11^2} = \sqrt{3600} = 60 cm[/tex]. The surface becomes [tex]2 \frac{(B+b)h}2 = (34+45)(60)= 4740 cm^2[/tex]
Missing the short sides and the half cylinder making the gallery. The sides - if you imagine un-hinging one and attaching to the bottom of the other - will make a rectangle of sides (45+70) cm and 54 cm with a circular hole in the middle. surface is [tex](45+70)\times54 - \pi(54/2)^2 =[/tex][tex]3920.94 cm^2[/tex].
Finally, the half cylinder. It's a "rectangle) tall (60+54) cm - the length of the whole contraption, and long half the circle, or [tex]27\pi[/tex]. It's surface is [tex](60+54)\times\27\pi = 9664.92 cm^2[/tex]
Done with surfaces. At this point we just add everything together. Grab a calculator and start adding up, if I didn't miss anything the total surface will be [tex]35875.86 cm^2[/tex]
Volumes now. You wished this was over? I totally did.
Bulk of the calculations are done luckly. It's just to cut and paste here and there.
Pyramid first. We know the side length, we know the height, volume is the usual formula
[tex]\frac 13l^2h = \frac 13 54^2\times 36= 33,048 cm^3[/tex]
Cube beneath. This one is also easy Sides are 54cm, 54cm and 70cm, volume is their product:
[tex]54*54*70= 204,120 cm^3[/tex]
Side prism now: again base surface times height, let's use the trapezoid as a base since we already have the area from above:
[tex]A_th = 2370\times54 = 127,980 cm^3[/tex]
From this we take half a cylinder of radius 27 tall as the whole structure is long. [tex]\frac12 \pi r^2h = \frac12 \pi (27)^2(60+54) = 130,476.42 cm^3[/tex]
We're done. Let's add the volume of the first 3 solids and subtract the last one - hope you have your calculator handy, to get in total a volume of [tex]234,671.58 cm^3[/tex]
Double and triple check numbers, even if I rand them with excel.
Hello please help me with this question
Help me
pleaseeee
i need help
Answer:
A=2, B=28
Step-by-step explanation:
A:6:7
8:24:B
A=8÷4
=2
B=7×4
=28
Answer:A=2
B=28
Step-by-step explanation:
Write an inequality that represents the following. Employees receive a bonus
of $80 plus $15 per hour, h, for working on New Year's Eve. If an employee
earned no more than $205.
So Is This (80+15) or something
What is the value of x? If necessary leave your answer in the simplest radical form.
Explanation:
This is a 30-60-90 triangle as shown by the angles. These types of triangles have their shortest leg opposite the smallest angle, and the connection between the short and long legs is
long = short*sqrt(3)
We see that the long leg is 16*sqrt(3) units long, which must mean the short leg is 16 units. This doubles to 32 when we go from short leg to hypotenuse
hypotenuse = short*2
Find two positive numbers whose difference is 13 and whose product is 230
Answer:
23 and 10
Step-by-step explanation:
23 - 10 = 13
23 * 10 = 230
Answer:
10 and 23
Step-by-step explanation:
A hot air balloon went from an elevation of 4,940 feet to an elevation of 3,122 feet in 36 minutes. What was its rate of descent?
Can someone tell me the slope of this graph
Answer:
Slope = 3
Step-by-step explanation:
The formula to find the slope of a graph using two points is:
m = Δy/Δx
where m is the slope
We can start off by choosing two points on the graph. Two easy ones to pick out would be (6,30) and (1,15). Notice that the 15 and the 30 are y-coordinates and the 6 and the 1 are x-coordinates. To find the slope we will do
m = Δy/Δx = (30-15)/(6-1)
= 15/5
= 3
Thus the slope of this graph is 3
what is the point slope equation of the line that passes through (9,-1) and has a slope of 5
Answer:
y=5x+46
Step-by-step explanation:
apply point
-1=5(9)+n
-1=45+n
n=-46
y=5x+46
Answer:
y + 1 = 5(x - 9)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
Here m = 5 and (a, b ) = (9, - 1 ) , then
y - (- 1) = 5(x - 9) , that is
y + 1 = 5(x - 9)
What is the slope for this table?
=======================================================
Explanation:
Pick any two rows you want. I'll pick the middle two rows where every value is positive. So I'll pick these two rows:
x = 0 and y = 4x = 1 and y = 1They lead to the points (0,4) and (1,1). Apply the slope formula for these rows.
m = (y2-y1)/(x2-x1)
m = (1-4)/(1-0)
m = -3/1
m = -3
The slope is -3
Answer:
is not proportional
Step-by-step explanation:
10/-2= -5
7/-1=-7
4/0=0
1/1=1
-2/2=-1
-5/3= -1 2/3
pls help, algebra 1
Answer:
20, 35, 50
Step-by-step explanation:
max has x dollars. Keisha has four more dollars then max
Answer:
4x
Step-by-step explanation:
Simply add 4 and x, and that is 4x.
Find the perimeter. Simplify the answer.
Answer:
4u
Step-by-step explanation:
add up all the sides: u+u+u+u=4u
If RS=x+5 and HJ + Lk = 4x+6, find RS
what is the slope of the line parallel to the line whose equation is -y = -4x + 7 ?
Hello there!
Parallel lines have the same slope.
So if one line has a slope of 4, then the slope of the line parallel to it has a slope of 4 as well.
Hope it helps!
Please mark Brainliest!
~Just a determined gal
[tex]MysteriousNature[/tex] here to help
Jason compares the price of oranges at 4 stores,
Kroger is selling oranges at $1.52 for 4 oranges.
Publix is selling 5 oranges for $175, Ingles is
selling oranges at $1.02 for 3 oranges, Walmart
is selling 6 oranges for $2.46. Which store has
the best price?
Answer/Step-by-step explanation:
To Find the best price divided each
Kroger → 1.52/4=0.38
Publix → 175/5=35
Ingles → 1.02/3=0.34
Walmart → 2.46/6=0.41
Base on the data we can tell that Ingles have the best price.
Jill is building a wooden-raised bed garden for her vegetables. She wants the frame to have dimensions x feet by x + 3 feet. If she wants the garden to have a maximum area of 50 square feet, what are the possible values of x?
Answer:
x less than or equal to 16.6
Step-by-step explanation:
50 divided by 3 is 16.6
since Jill wants 50 square feet as the maximum area x can be less than 16.6.
Please solve correctly :)
Part C only!!!
Answer:
So, the average rate of change is 0.475.
Step-by-step explanation:
If n = 2, then f(n) = 8.82. If n = 6, then f(n) ≈ 10.72. Now, 10.72 – 8.82/ 6 – 2 = 1.9/ 4 = 0.475.
PLS HELP ASAP !!
i'll mark as brainliest if u answer:))
Answer:
A = 60
B:25
Step-by-step explanation:
A looks about 1/3 of a 180
B looks about 1/3 of A
100 POINTS IF U GET THIS RIGHT!
Answer:
●y= mx + c
y = 9x + 1/2
slope m =9
HELP! ILL TIVE BRAINLIST IF RIGHT!! Joe earns a percentage of his monthly sales. If his commission rate stays the same each month, how much does he need to sell in March to earn $200 more than he did in February? (Picture below)
$3000
$76
$3800
$900
Answer:
$3800
Step-by-step explanation:
If the ratio between sales and commission is 5:1, we can find that commission for February was 560. 560+200 is 760 and 760*5=3800