y=1/4e^3x-5
After a whole year this hasn't been answered
The resulting function of y=e^(−3x), when vertically stretched by a factor of 4, reflected across the y-axis, and then shifted up 5 units is y=[4e^(−3x)] + 5.
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units, y=f(x+c) (same output, but c units earlier)Right shift by c units, y=f(x-c)(same output, but c units late)Vertical shift
Up by d units: Down by d units: y = f(x) - dStretching:
Vertical stretch by a factor k: [tex]y = k \times f(x)[/tex]Horizontal stretch by a factor k: [tex]y = f(\dfrac{x}{k})[/tex]Given the function [tex]y=e^{-3x}[/tex] is vertically stretched by a factor of 4. Therefore, the function will be written as,
[tex]y = 4 \times e^{-3x}[/tex]
Now, the function is shifted up by 5 units, therefore, the function will become,
[tex]y = (4e^{-3x})+5[/tex]
Hence, the resulting function of y=e^(−3x) , when vertically stretched by a factor of 4, reflected across the y-axis, and then shifted up 5 units is y=[4e^(−3x)] + 5.
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After 7 examinations Jordeen's average mark was 62. Her next result increased her average to 64. What was the next mark?
Answer:
Step-by-step explanation:76
In the image above x=4 cm and y=8 cm. Find the surface area of the figure. (Note: Figure is not to scale.)
Answer:
96
Step-by-step explanation:
4×8×3=96 is the surface area
Which of the following is NOT an example of a right angle?
Ο Α.The corner of a door
O B.The corner of a book
C.The point of a pencil
D.The corner of a piece of notebook paper
Answer:
The point of a pencil
Step-by-step explanation:
all other three mesure 90 the point of pencil is not square shape in order for it to be right angle its gotta be square shape hope this helps! may i be marked brainliest?
Difference in the 2 in 92.5 and the 4 in 8.49
Step-by-step explanation:
Raja Dilip aashram Mein Gaye
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
∠KJL and ∠KJG
Step-by-step explanation:
Anyone know What 4/3 divided by 16 is
Answer:
1/12
Step-by-step explanation:
That's the same as
4/3 * 1/16
3 x 16 = 48
4/48
simplify
1/12
Answer:
4/3 divided by 16 is 0.0833333333333
Step-by-step explanation:
f(x)= -2x^2+3x-7, calculate the average rate of change on the interval [1, 1+h]
Answer:
[tex]Rate = -2h-1[/tex]
Step-by-step explanation:
Given
[tex]f(x) = -2x^2 + 3x - 7[/tex]
[tex]Interval: [1,1+h][/tex]
Required
The average rate of change
This is calculated as:
[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]
Where:
[tex][a,b] = [1,1+h][/tex]
So, we have:
[tex]Rate = \frac{f(1+h) - f(1)}{1+h - 1}[/tex]
[tex]Rate = \frac{f(1+h) - f(1)}{h}[/tex]
Calculate f(1+h) and f(1)
[tex]f(x) = -2x^2 + 3x - 7[/tex]
[tex]f(1) = -2 * 1^2 + 3 * 1 - 7 = -6[/tex]
[tex]f(1+h) = -2 * (1+h)^2 + 3 * (1+h) - 7[/tex]
Evaluate squares and open bracket
[tex]f(1+h) = -2 * (1+h+h+h^2) + 3+3h - 7[/tex]
[tex]f(1+h) = -2-2h-2h-2h^2 + 3+3h - 7[/tex]
[tex]f(1+h) = -2-4h-2h^2 + 3+3h - 7[/tex]
Collect like terms
[tex]f(1+h) = -2h^2-4h +3h-2+ 3 - 7[/tex]
[tex]f(1+h) = -2h^2-h-6[/tex]
So, we have:
[tex]Rate = \frac{f(1+h) - f(1)}{h}[/tex]
[tex]Rate = \frac{-2h^2-h-6 - -6}{h}[/tex]
[tex]Rate = \frac{-2h^2-h-6 +6}{h}[/tex]
[tex]Rate = \frac{-2h^2-h}{h}[/tex]
Factorize the numerator
[tex]Rate = \frac{h(-2h-1)}{h}[/tex]
Divide
[tex]Rate = -2h-1[/tex]
there are 96 boys and 120 girls in grade 9. write down the ratio of the number of boys to the number of girls in the class.
Step-by-step explanation:
96/120=8/12
=2/3
ratio of boys to girls in the class
=2:3
Adam thinks of a number.
He multiplies it by 8, adds 6 and then divides it by 2.
He ends up with 131.
What was the number he started with?
The number Adam started with is 32.He ends up with 131.
Let's denote the number Adam started with as "x." After multiplying by 8, we have 8x.
He adds 6 to the result.
The expression becomes 8x + 6.
He divides the result by 2.
The expression becomes (8x + 6) / 2.
The final result is 131.
Setting up the equation:
(8x + 6) / 2 = 131
To find x, we can solve this equation.
Multiplying both sides by 2:
8x + 6 = 262
Subtracting 6 from both sides:
8x = 256
Dividing both sides by 8:
x = 32
Therefore, the number Adam started with is 32.
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Jimmy believes that the shuffle feature on his music player is malfunctioning by not playing songs that meet this distribution of music types. To test this, he listens to 100 songs randomly chosen when his player is in shuffle mode and records the number of songs in each category. Which inference procedure should he use to test whether or not the shuffle feature is working correctly
Answer:
A chi-square goodness-of-fit test
Step-by-step explanation:
GOF test is used to determine if the data meets the expected values.
A chi-square goodness-of-fit test procedure should be used to test whether or not the shuffle feature is working correctly.
What is a distribution?
A distribution includes an algebraic function that calculates the likelihood that long-been-considered outcomes will occur. In the perspective of its population space as well as event probability, it is a schematic representation of random phenomena.
To ascertain regardless of whether the observed sample frequency deviates noticeably from those given in the null hypothesis, should use the chi-square goodness of fit test.
He notes the number of tracks in each classification after listening to 100 songs selected at random while his player is in shuffle mode. One can determine out whether the quality of fit is "good enough" and draw the conclusion that the population matches the distribution by applying the chi-square goodness of fit test.
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write the absolute value inequality in the form lx-bl c that has the solution set x<-5 or x<7
A pat check Math. This is a assignment
PLEAS HELP ASAP :)))))
Answer:
18 inches
Step-by-step explanation:
54*1/3=18(inches)
if these two shapes are similar, what is the measure of the missing length X?please answer i’ve been doing IXL for 3 hours
It would take ___ hours to drive 240 miles from Boston to New York, if one drives at a constant speed of 40 mph.
Answer:
6 hours.
Step-by-step explanation:
To find how many hours it would take to drive a 240 mile distance at a constant speed of 40 miles per hour, you'd divide 240 by 40 and the result of that is 6.
Answer:
6 hours
Explanation:
240/40= 6
HELP ASAP I WILL MARK BRAINLEY
What is the mean of the following data? Given the set { 8, 3, 6, 1, 79, 8, 30, 6, 71, 5, 3}
Answer:
20
Step-by-step explanation:
if we add all these numbers together we get 220
220 divided by 11 is 20
11 (4) + 33
Help pls
Answer:
11 (4) + 33
= 11 × 4 + 33
= 44 + 33
= 77
Answer:
77
Step-by-step explanation:
11(4)+33=? Multiply 11 by 4 [when a number is in parentheses it means to multiply it by the number in front of it]
44+33=77
Write the equivalent fraction with a denominator of 100.
What number will go in the numerator? 9/10=
1) 10
2) 50
3) 90
Answer:
90/100
Step-by-step explanation:
Hope this helps you...
Answer:
9/10 = 9×10/10×10 = 90/100
3) 90
What is the solution of the equation 3/4x + 5 = -9 ?
Answer:
x = -56/3
And that will be ur answer
What is 73 as a decimal?
Answer
Step-by-step explanation:
ayme built a box in the shape of a rectangular prism with the dimensions shown. What is the volume of the box, in cubic inches? A rectangular prism has a length of 8 inches, a width of 2 inches, and a height of 4 inches. Use the formula V = l w h, where V represents the volume, l represents the length, w represents the width, and h represents the height. Inches cubed
Answer:
[tex]64(in)^{3} [/tex]
Step-by-step explanation:
The volume of a box is equal to the length l times the width w times the height h.
[tex](lenght) \times (width) \times (height)[/tex]
Substitute the values of the length l=8, the width w=2, and the height h=4 into the formula.
[tex]8 \times 2 \times 4[/tex]
Multiply 8 by 2.
[tex]16 \times 4[/tex]
Multiply 16 by 4.
[tex]64 {in}^{3} [/tex]
Hence, the volume of the rectangle prism is 64(in)³.
Answer:
64 in³Step-by-step explanation:
Given dimensions:
l = 8 inw = 2 inh = 4 inVolume of the prism is:
V = lwhV = 8*2*4 = 64 in³Which of the following ordered pairs does not lie on the graph of y=log_(2)^x? (1/2, -1) (0, 1) (1, 0)
Answer:
(0,1)
Step-by-step explanation:
I put it in desmos :)
Answer:
0,1
Step-by-step explanation:
What is the elapsed time between 10:05am 10:51am
46 minutes is the elapsed time :)
Answer:
46 minutes
Step-by-step explanation:
In order to find the time elapsed, you must subtract 10:51 and 10:05 which equals 46 minutes.
9. Ella bought a $379 tablet for 15% off. The
next day, she saw that it was marked down
an additional 20% off the sale price. How
much more money would she have saved by
waiting a day to purchase the tablet?
A. $18.95
B. $24.52
C. $48.16
D $64.43
how many term of the A.P 3,6,9,12....must be taken at the least to have a sum not less than 2000?
I dont wantonly help you I just want points ahahhaahahah
PLEASE HELP ME ASAP WITH WORK!! I WILL GIVE BRIANLIEST!!
Ba) Xander needs to collect at least 120 cans for a food drive to earn
community service credit. He has already collected 64 items. Write and
solve an inequality to represent the number of cans, c, that Xander must
still collect.
8b) describe the graph of the solution set for the question above. Be sure to describe the circle and tell the direction on the arrow
Answer:
he needs to collect at least 56 more
Step-by-step explanation:
c+64[tex]\geq[/tex]120
c[tex]\geq[/tex]120-64
c[tex]\geq[/tex]56
Answer:56 more
Step-by-step explanation:
15f=45 find the variable
if the ball rolled 20 meters in 5 secoundes whats its speed
Answer:
4 meters/ sec
Step-by-step explanation:
20/5 = 4 Lol
Pls mark brainliest
Answer:
20/5=4m/s
Step-by-step explanation:
speed=distance/time
so speed=20/5
find the GCF
find the GCF
**WILL GIVE BRAINIEST Whats the value of x
Answer:
109.899098772yd
Step-by-step explanation:
90-16=74
cos(74)=x/640
