Sorry i need pointsss so 15 is your answer and i can leave
We are given with the equation y"+ 9 y = t^2 * e^3 t + 6 and asked to determine the general solution to this equation. we convert the equation into r^2 + 9 = 0. The solution to this equation is r = +/- 3i. This solution converted to trigonometric function is equivalent to <span>y</span>= <span>C1 </span>cos3t + <span>C2 </span>sin<span>3t. </span>
Answer:
see below
Step-by-step explanation:
First find the slope
m= ( y2-y1)/(x2-x1)
= (-5- -7.5)/ ( 2 - -3)
= (-5+7.5) / ( 2+3)
= 2.5 /5
=1/2
Then using the slope intercept equation of a line
y = mx+b where m is the slope and b is the y intercept
y = 1/2x+b
Using a point from above
-5 = 1/2(2) +b
-5 =1+b
Subtract 1 from each side
-6 = b
We have the y intercept
y = 1/2x-6
Tahlia forget to find the y intercept for the equation
The correct answer is 0.78. Hope this helps.
0.12 x 70 = 8.4
12% of 70 is 8.4