Answer:
y= -5x +24
Step-by-step explanation:
<u>Slope-intercept form</u>
y= mx +c, where m is the slope and c is the y-intercept.
Given that the slope is -5, m= -5.
Substitute m= -5 into the equation:
y= -5x +c
To find the value of c, substitute a pair of coordinates that the line passes through into the equation:
When x= 3, y= 9,
9= -5(3) +c
9= -15 +c
c= 9 +15
c= 24
Thus, the equation of the line is y= -5x +24.
Answer:
Evaluate ∫3x2sin(x3)cos(x3)dx
Step-by-step explanation:
hello (a) using the substitution u=sin(x3) because
du =3x²(cos x3)dx
you have ∫3x2sin(x3)cos(x3)dx = ∫udu=u²/2 +c............continu
Plug in -3 for x
f(-3) = 2(-3) - (-3 + 6)
f(-3) = -6 - (3)
f(-3) = -9
Solution: f(-3) = -9
Answer:
x=5
y=2
Step-by-step explanation:
5x + 3y= 31
-6x - 3y = -36 (multiple by -3)
-x=-5
x=5
2(5)+y=12 or 25 + 3y= 31
10+y=12 3y=6
y=2 y=2