Answer:
16x^2-12x+9
explanation:
64x^3-27 by 4x-3 = 16x^2-12x+9
If they are all in a line then we can find the equation of their line using: y = mx + b
First find m using points (2,5) and (3,3)
m = (5-3)/(2-3) = 2/-1 = -2
Now using (3,3) and m= -2 to solve for b:
3 = -2(3) + b
3 = -6 + b
9 = b
So our equation is y = -2x + 9
That is the solution for question b)
Now to find the mystery point, solve:
1 = -2x + 9
-8 = -2x
4 = x
So our mystery point is (4,1)
So for part a) the answer is k = 4
In order to see how many real roots it has you have to see what the Δ is
So if Δ>0 then there are 2 real roots
If Δ=0 there is 1 real root
If Δ<0 no real root
And we know that:
Δ=b^2-4ac
So in the equation: Δ=b^2+4 and b^2 is always a number greater than or equal to 0 so when you add 4 to it, it is always greater than 0
So it has 2 real roots
Answer:
Volume of wheat = 147.26 m³ (check the explanation)
Step-by-step explanation:
The question still lacks some details such as the size of the silo. We will go forward by assuming the size of the silo to aid our calculation. Silos are cylindrical storage structures that range from 3 - 27 m in diameter and 10 - 90 m in height. For the purpose of this question, let's assume that the size of the silo is 5 m (diameter) by 15 m (height).
Let's list out the parameters to be used:
diameter (D) = 5 m; r = D ÷ 2 ⇒ r = 5/2 = 2.5 m,
height (h) = 15 m
Volume of silo = πr²h = π * 2.5² * 15
V (silo) = <u>294.52</u> m³
The silo is half full ⇒ ½ * V
Volume of wheat stored is given by half of the silo volume, since the silo is half-full
V (wheat) = ½ * 298.52
V (wheat) = <u>147.26</u> m³
Answer:
-8
Step-by-step explanation:
If 3x-4y=2, then for any number a we also have a(3x-4y)=a(2) by multiplication property of equality.
Therefore, for a=-4 we have -4(3x-4y)=-4(2) which means the value of -4(3x-4y) is -8.
