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kvv77 [185]
3 years ago
15

Rewrite each expression as a sum -8x^2 + 3xy - 9x - 3

Mathematics
1 answer:
Gnesinka [82]3 years ago
3 0
-8x^2 + 3xy - 9x - 3
 

There \ are \ no \ like \ terms. 

No \ Solution
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1. A sine function has the following key features:
andrew11 [14]
Problem 1

See the attached image (figure 1)

16pi seems like a typo. I'm going to assume that it's a fraction and it is 1/(6pi)
f = 1/(6pi) = frequency
T = 1/f = 1/(1/(6pi)) = 6pi
Amplitude = 2
a = 2
b = 2pi/T = 2pi/(6pi) = 1/3
Midline: y = 3
d = 3

The function is
y = a*sin(bx-c)+d
y = 2*sin(1/3*x-0)+3
y = 2*sin(x/3)+3

===============================================

Problem 2

See the attached image (figure 2) 

T = 12 is the period
a = 4 is the amplitude
b = 2pi/T = 2pi/12 = pi/6
y = 1 is the midline so d = 1
The y intercept is (0,1) which is the midline, which indicates no phase shifts have occurred so c = 0

The function is
y = a*sin(bx-c)+d
y = 4*sin((pi/6)x-0)+1
y = 4*sin((pi/6)x)+1

===============================================

Problem 3

See the attached image (figure 3)

Period = 4pi
T = 4pi
b = 2pi/T = 2pi/(4pi) = 1/2 = 0.5
Amplitude = 2
a = 2
Midline: y = 3
d = 3
y-intercept: (0,3)
The function is a reflection of its parent function over the x-axis, so 'a' is negative meaning a = -2 instead of a = 2

The function is
y = a*sin(bx-c)+d
y = -2*sin(0.5x-0)+3
y = -2*sin(0.5x)+3

===============================================

Problem 4

See the attached image (figure 4)

a = 10 which is half of the distance between the highest and lowest points
T = 8 is the period
b = 2pi/T = 2pi/8 = pi/4
c = -pi/2 is the phase shift since its really a cosine graph
d = 0 is the midline

The function is
y = a*sin(bx-c)+d
y = 10*sin((pi/4)*x+(-pi/2))+0
y = 10*sin((pi/4)*x+pi/2)

===============================================

Problem 5

See the attached image (figure 5)

a = 2 is the amplitude since it bobs up and down this distance from the midline
T = 8 seconds is the period (double that of the time it takes for it to go from the highest to the lowest point)
b = 2pi/T = 2pi/8 = pi/4
c = 0 is the phase shift as the buoy starts at normal depth of 20 meters
d = 20 is the midline

The function is
y = a*sin(bx-c)+d
y = 2*sin((pi/4)x-0)+20
y = 2*sin((pi/4)x)+20

===============================================

8 0
2 years ago
Read 2 more answers
Please help me out on this one please thank hope y’all are safe love you all
inysia [295]

Answer:

it

Step-by-step explanation:

it is C hope this helps

8 0
2 years ago
Read 2 more answers
A magazine provided results from a poll of 1000 adults who were asked to identify their favorite pie. Among the 1000 ​respondent
Gwar [14]

Answer:

The answer to the given problem is given below.

Step-by-step explanation:

What values do p, q,n,E and p represents?

The value of p is the sample proportion.

The value of q is found from evaluating 1− p.

The value of n is the sample size.

The value of E is the margin of error.

The value of p is the population proportion.

If the confidence level is 90%, what is the value of α?

α = 1- 0.90

α = 0.10

8 0
3 years ago
Use mental math to find the sum. <br><br> 150 + 20 + 25
stiv31 [10]

Answer:


50 + 20 = 70
70 + 25 = 95
150 + 95 = 245

In conclusion, 150 + 20 + 25 equals to a total amount of 215.


Step-by-step explanation:

Have a great rest of your day
#TheWizzer

6 0
2 years ago
Read 2 more answers
39.2 is what percent p of 112
madam [21]
39.2 is what percent p of 112

39.2/112

39.2 ÷ 112 = 0.35

Convert to percent:-

0.35 × 100 = 35
35%

3.92 is 35% of 112.
3 0
3 years ago
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