Answer:
Step-by-step explanation:
x³+23x²+162x+360=0
x³+12x²+11x²+132x+30x+360=0
x²(x+12)+11x(x+12)+30(x+12)=0
(x+12)(x²+11x+30)=0
(x+12)[x²+6x+5x+30]=0
(x+12)[x(x+6)+5(x+6)]=0
(x+12)(x+6)(x+5)=0
x=-12,-6,-5
In this item, we are to determine the equation that would allow us to express the given. If x is the number of barrels of water and y is weight, the points are:
(10, 98.4) and (20, 181.8)
To determine the equation of the line, we use,
y - y₁ = ((y₂ - y₁)/(x₂ - x₁))(x - x₁)
Substituting,
y - 98.4 = ((181.8 - 98.4)/ (20 - 10))(x - 10)
Simplifying,
y = 8.27x + 88.4
We can use the points (10, -11) and (10, -2).
Slope formula: y2-y1/x2-x1
= -2-(-11)/10-10
= 13/0
Since the denominator is 0, the slope is undefined.
Best of Luck!
So k in the first problem would =1/2
and i guess in the second problem just put k in place of the first space and in the second space put 8 for x. y would then =4. Idk if I did this right, though, I'm honestly a little confused too.
Answer:
Step-by-step explanation:
we will solve this using integration by parts as the problem is a product of two functions which none of them are constants.
∫udv = uv -∫vdu ..............equ 1
∫
u=x ,
du= 1
dv =
v=∫dv=
Substituting into equ 1
∫udv = - ∫
<em>∫udv = 
</em>
