-vp+40<95
subtract 40 from each side
-vp < 55
divide by -p (which flips the inequality) assuming p>0
v > -55/p
Answer:
Two imaginary solutions:
x₁= 
x₂ = 
Step-by-step explanation:
When we are given a quadratic equation of the form ax² +bx + c = 0, the discriminant is given by the formula b² - 4ac.
The discriminant gives us information on how the solutions of the equations will be.
- <u>If the discriminant is zero</u>, the equation will have only one solution and it will be real
- <u>If the discriminant is greater than zero</u>, then the equation will have two solutions and they both will be real.
- <u>If the discriminant is less than zero,</u> then the equation will have two imaginary solutions (in the complex numbers)
So now we will work with the equation given: 4x - 3x² = 10
First we will order the terms to make it look like a quadratic equation ax²+bx + c = 0
So:
4x - 3x² = 10
-3x² + 4x - 10 = 0 will be our equation
with this information we have that a = -3 b = 4 c = -10
And we will find the discriminant: 
Therefore our discriminant is less than zero and we know<u> that our equation will have two solutions in the complex numbers. </u>
To proceed to solve the equation we will use the general formula
x₁= (-b+√b²-4ac)/2a
so x₁ = 
The second solution x₂ = (-b-√b²-4ac)/2a
so x₂=
These are our two solutions in the imaginary numbers.
Answer:
We show that f(x) n+8/6n = 6 x n = 0
which flips the n+8/1 = 0+8/0-6= x = 3 this is the range.
For the HA we would work left to right.
x goes to positive or negative infinity and is determined by the highest degree terms of the polynomials in the numerator and the denominator. This particular function has polynomials of degree 0 in both the numerator and the denominator
If say n+8 was n+2 then we would use the 2/-2+3 and get 1 and show the hole as the source;
hole : -2+1 as non equal sign. but not in the case of n+8/6n
-2+1 represents 1/3 symmetry.
We see for n+8/6n with interpreted back into the zero format minus
-0+8/-0-6 we see there is symmetry and can work on the left side of graph and flip over. Where 0 = n+8 and 1=nx6
Step-by-step explanation:
There would be no way of doing the others unless the exponents had been squared ^2
If they were squared then the domain will be (-infinity -3) parenthesis
union of( -3 -2) union of +2 to negative infinity.
There is not a vertical asymptote as the numerator divides into dominator at point 8 as a decimal.
The holes are then closed.
Answer:
9x/-1 is the correct answer
Step-by-step explanation:
Answer:
x = 14
Step-by-step explanation:
1 Add 8 to both sides.
x=6+8
2 Simplify 6+8 to 14.
x=14