Answer: T=1/2 Y + -5/2
Step-by-step explanation:
y=2t+5
2t+5 +-5= y +-5
2t=y-5 2t/2=y-5/2
t=1/2y+-5/2
= t=1/2y + -5/2
Answer:
(3,1)
Step-by-step explanation:
y=-4x^2+24x-35
x-intercept of the vertex formula:
v=-b/2a
a=-4
b=24,
c=-35
v = - 24/2(-4)
v = -24/-8
v = 3
substitute x as v
y= -4(3)^2 + 24(3) - 35
y= -4(9) + 72 - 35
y = -36 +72 - 35
y = 36 - 35
y = 1
therefore the vertex is
(3,1)
let's recall that i⁴ = 1 so then 
Answer:
x = 1680 / N, where N is the number of people and x the amount each person has to give for equal contribution. So for N = 10 ==> x = 168.
Step-by-step explanation:
Answer:
f(x) = 
is the required polynomial.
Step-by-step explanation:
Given the zeroes (roots) of the polynomial are 
and 
.
We know that complex roots occur in conjugate pairs.
So, this means that 
and 
would also be the roots of the polynomial.
If 
are to be the roots of the polynomial then the polynomial should have been: 
.
Now, to determine the polynomial for which 
would be the roots.
Roots of the polynomial are nothing but the values of x (any variable) that would make the polynomial zero.
⇒ 
⇒ 
The required polynomial would be the product of all the above polynomials.
Multiply this to get the required equation.
⇒
∴ The required polynomial is x⁴ - 2x³ + 49x² - 18x + 360 = 0.
