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Sedaia [141]
3 years ago
6

Which two transformations must be applied to the graph of y = ln(x) to result in the graph of y = –ln(x) + 64?

Mathematics
1 answer:
stiks02 [169]3 years ago
3 0

Answer: A) reflection over the x-axis, plus a vertical translation

Step-by-step explanation:

Ok, when we have a function y = f(x)

> A reflection over the x-axis changes a point (x, y) to a point (x, -y), then for a function (x , y = f(x)) the point will change to (x, -y =- f(x))

then for a funtion g(x), this tranformation can be written as h(x) = -g(x).

> A vertical translation of A units (A positive) up for a function g(x) can be written as: h(x) = g(x) + A.

Then in this case we have:

y = g(x) = ln(x)

and the transformed function is h(x) = -ln(x) + 64

Then we can start with h(x) = g(x)

first do a reflection over the x-axis, and now we have:

h(x) = -g(x) = -ln(x)

And now we can do a vertical translation of 64 units up

h(x) = -g(x) + 64 = -ln(x) + 64

Then the correct option is:

A) reflection over the x-axis, plus a vertical translation

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the number of miles per hour

Step-by-step explanation:

5 0
3 years ago
3) Lane and Zack purchased a house for $245,000 in 2016. The house loses 4% of its value each year,
alina1380 [7]

Answer:

$138,345

Step-by-step explanation:

This is a compound decline problem, which will be solve by the compound formula:

F=P(1-r)^t

Where

F is the future value (value of house at 2030, 14 years from  2016)

P is the present value ($245,000)

r is the rate of decline, in decimal (r = 4% = 4/100 = 0.04)

t is the time in years (2016 to 2030 is 14 years, so t = 14)

We substitute the known values and find F:

F=P(1-r)^t\\F=245,000(1-0.04)^{14}\\F=245,000(0.96)^{14}F=138,344.96

Rounding it up, it will be worth around $138,345 at 2030

8 0
3 years ago
Juma earns $12.50 for each newspaper subscription he sells. He also earns a $50 base salary each week. If he wants to earn $400
garik1379 [7]

Answer: 400=12.50x+50

400-50=12.50x

350=12.50x

350÷12.50=x

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Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
What is 3/4 + 2/5<br><br> A. 23/30 <br> b. 40/50<br> c.1 3/20<br> D. 1/50
natta225 [31]
It would be A. 23/30 if it was not simplified but if you need it to be simplified it would be C. 1 3/20

Your welcome
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3 years ago
What is the constant variation of 2x+y=-4?
jeka94

Answer:

What is the constant variation of Y =- 2 3x?

The constant of variation, k , is 23 .

What is the constant variation of Y 1 2x?

The constant of variation, k , is 12 .

Step-by-step explanation:

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