Answer:

Step-by-step explanation:
Given

Required
Determine the x intercept
To get the value of x intercept; we simply substitute 0 for y;
i.e. y = 0
becomes



Multiply both sides by -1



<em>Hence, the x intercept is 6</em>
Answer:
the factors of f(x)=x^3+8x^2+5x-50 are (x-2)(x+5)(x+5)
Step-by-step explanation:
We need to factorise the function 
If a number is a factor of this function than it must be completely divisible by last co-efficient. Our last co-efficient is -50
Checking few numbers:

So, f(2)=0 which means x-2 is a factor of the given function. Now we will perform long division of
by (x-2) to find other factors
The long division is shown in figure attached.
After long division we get: 
The equation
can be further simplified as: (x+5)(x+5) or (x+5)^2
So, the factors of f(x)=x^3+8x^2+5x-50 are (x-2)(x+5)(x+5)
P(t+1) = -2
divide by P
Subtract 1
T equals negative 2 over P minus 1
T = -2/P -1
Answer:
8x⁴ - 7x³ + 12x
Step-by-step explanation:
=(4x⁴ + 7x + 5x³) + (8x⁴ + 6x³ - 3x)- (4x⁴ + 4x³ - 8x)
=4x⁴ + 7x + 5x³ + 8x⁴ + 6x³ - 3x - 4x⁴ - 4x³ + 8x
=4x⁴ + 8x⁴ - 4x⁴+ <em>5x³ + 6x³ - 4x³</em> + <u>7x - 3x + 8x</u>
=8x⁴ + 7x³ + 12x
I set this up as an inequality,

. If you take the cubed root of 800, you get the lower bound of the side length, which is 9.2. Then I just worked my way up until I hit the first number that put me over a volume of 800. That number is 9.29, because 9.28 cubed is 799.1 (not high enough) and 9.29 cubed is 801.8. Therefore, the bounds of the sides exist within a conjunction:

. That's the best I could come up with to help on that one. Wasn't sure if there was another method you were taught at school. I just used common sense more than any rule.