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Zolol [24]
3 years ago
12

Consider the equation 4x – 3y = 9. Write the equation in slope-intercept form, y = mx + b, and

Mathematics
1 answer:
Dafna1 [17]3 years ago
5 0
Y=4/3x-3. Slope is 4/3
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Find constants a and b such that the function y = a sin(x) + b cos(x) satisfies the differential equation y'' + y' − 7y = sin(x)
Elza [17]
The first thing we must do in this case is find the derivatives:
 y = a sin (x) + b cos (x)
 y '= a cos (x) - b sin (x)
 y '' = -a sin (x) - b cos (x)
 Substituting the values:
 (-a sin (x) - b cos (x)) + (a cos (x) - b sin (x)) - 7 (a sin (x) + b cos (x)) = sin (x)
 We rewrite:
 (-a sin (x) - b cos (x)) + (a cos (x) - b sin (x)) - 7 (a sin (x) + b cos (x)) = sin (x)
 sin (x) * (- a-b-7a) + cos (x) * (- b + a-7b) = sin (x)
 sin (x) * (- b-8a) + cos (x) * (a-8b) = sin (x)
 From here we get the system:
 -b-8a = 1
 a-8b = 0
 Whose solution is:
 a = -8 / 65
 b = -1 / 65
 Answer:
 
constants a and b are:
 
a = -8 / 65
 
b = -1 / 65
4 0
3 years ago
PLSSSSSS HELP GIVING 10 POINTS
TEA [102]

Answer:

I'm pretty sure that it's C.

6 0
3 years ago
The function T(n) is defined below. Which of the following are equal to T(8)? Check all that apply. T(n) = 4n - 5
Klio2033 [76]
T(n)=4n-5\\\\T(8)=4\cdot8-5=32-5=27\\\\T(5)+T(3)=4\cdot5-5+4\cdot3-5=20-5+12-5=22\neqT(8)\\\\T(7)+4=4\cdot7-5+4=28-5+4=27\\\\Answer:\\B.\ 27\\D.\ T(7)+4
3 0
3 years ago
There are 12 months in a year. Use the drop-down menus to help write the equation that can be used to find the number of months,
stepladder [879]

Answer:

Honestly I don’t know I need help

Step-by-step explanation:

8 0
2 years ago
How to do this. It’s hard
Black_prince [1.1K]
I think the answer is y=10
4 0
3 years ago
Read 2 more answers
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