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SCORPION-xisa [38]
3 years ago
15

How does replacing f(x) with f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative) affect

the graph?
Mathematics
1 answer:
ivann1987 [24]3 years ago
4 0
F(x) + k - Moves the graph k units up.

k f(x)   stretches the graph parallel to y-axis by a facor k

f (kx) stretches  the  graph by a factor 1/k parallel to x-axis

f(x + k)  moves the graph   3 units to the left.

For k negative the first one moves it k units down

for second transform negative does same transfoormation but also reflects the graph in the x axis

For the third transform negative k :- same as above but also reflects in y axis

4th transform -  negative k moves graph k units to the right


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The solution to the equation x + 11 = 18 is x = 7.<br><br><br> True<br><br> False
Usimov [2.4K]

Answer:

True

Step-by-step explanation:

X+11=18

subtract 11 from both sides

18-11=7

x=7

5 0
3 years ago
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A telephone pole has a wire to its top that is anchored to the ground. The distance from the bottom of the pole to the anchor po
Bumek [7]

Answer:

The height of the pole is 105ft,

Step-by-step explanation:

Let us call h the height of the pole, then we know that the distance from the bottom of the pole to the anchor point is 49, or it is h - 49.

The wire length d is 14 ft longer than height h, hence

d= h+14.

Thus we get a right triangle with hypotenuse d= y+14, perpendicular  h, and base h-49; therefore, the Pythagorean theorem gives

(h-49)^2+h^2 = (h+14)^2

which upon expanding we get:

h^2-98h+2401 = h^2+28h+196

further simplification gives

h^2-126h+2205=0,

which is a quadratic equation with solutions

h =21ft\\h = 105ft.

Since the first solution h =21ft will give the triangle base length of 21ft-49ft = -28ft which is negative; therefore, we disregard it and pick the solution h = 105ft.

Hence, the height of the pole is 105ft.

3 0
3 years ago
Frank is lending $1,000 to Sarah for two years. Frank and Sarah agree that Frank should earn a real return of 4 percent per year
Montano1993 [528]

Answer:

nominal rate of interest is 31.7 %

Step-by-step explanation:

given data

payment = $1000

time = 2 year

rate = 4%

CPI = 100

CPI final yer = 127.7

to find out

nominal rate of interest

solution

we know nominal rate of interest formula that is

nominal rate of interest = real interest rate + inflation rate    .........1

so here inflation rate is express as

inflation rate = ( CPI final year - CPI )  / CPI  × 100    ...........2

put here value

inflation rate = ( 127.7 - 100 )  / 100  × 100

inflation rate is 27.7 %

so from equation 1

nominal rate of interest = real interest rate + inflation rate

nominal rate of interest = 4% + 27.7%

nominal rate of interest is 31.7 %

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3 years ago
Find the measure of 659<br> 670<br> In
sineoko [7]
The question doesn’t make sense.
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2 years ago
in Ryan's V. Class 50% of the students like the teacher if 15 of the students like the teacher how many students are in that cla
Anton [14]

Answer: 30 students.

Step-by-step explanation: They are saying 50% of the class like the teacher. We know that 50% is half of the 100% so that mean only half of the students like the teacher. Is 15 students like the teacher it means that 15 are half of the students in the class. The other half should be another 15. So 15+15=30 or 15x2=30.

I hope I didn’t make it to confusing.

6 0
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