Answer:
x+27
Step-by-step explanation:
Let's simplify step-by-step.
4(x+3)+3(5−x)
Distribute:
=(4)(x)+(4)(3)+(3)(5)+(3)(−x)
=4x+12+15+−3x
Combine Like Terms:
=4x+12+15+−3x
=(4x+−3x)+(12+15)
=x+27
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Answer:
V = 

Step-by-step explanation:
Volume of a cone is:

Substitute values given:


V = 
V = 

Y = xe^x
dy/dx(e^x x)=>use the product rule, d/dx(u v) = v*(du)/(dx)+u*(dv)/(dx), where u = e^x and v = x:
= e^x (d/dx(x))+x (d/dx(e^x))
y' = e^x x+ e^x
y'(0) = 1 => slope of the tangent
slope of the normal = -1
y - 0 = -1(x - 0)
y = -x => normal at origin
Answer:
The value of k is -21
Step-by-step explanation:
ax² + bx + c = 0
Sum of the roots = -b/a
3x² + kx + 1 = 0
= sum of the roots = -k/3
-k/3 = 7
Now, Multiply both side by (-3) we get,
(-3)-k/3 = 7(-3)
k = -21
Thus, The value of k is -21
<u>-TheUnknownScientist</u><u> 72</u>