Answer:
b. (x-3) / (x+1)
c. x/(x+5)
Step-by-step explanation:
b. (x+2)(x-3) / (x+1)(x+2)
c. x(x - 5) / (x + 5 ( x - 5)
= x / x+5
Answer:
{0,1,3,4}
Step-by-step explanation:
Given, total no of slices=8.
Total no of friends=4.
also each friend didnt ate more than the other three.
let a,b,c,d be no of slices ate by the friends 1,2,3,4 respectively.
given sum of a+b+c+d=8.
now applying the second condition
so each of a,b,c,d must be less than or equal to 4.
which means 5 values are possible{0,1,2,3,4}.from this set you have to select 4 values such that their sum is 8.hence, those values are {0,1,3,4}.
450/15 = 30 mpg -- Adam's
416/13 = 32 mpg -- Kenny's
Kenny is going to get the better gas mileage at 32 mpg (miles per gallon)
Short AnswerThere are two numbers
x1 = -0.25 + 0.9682i <<<<
answer 1x2 = - 0.25 - 0.9582i <<<<
answer 2 I take it there are two such numbers.
Let one number = x
Let one number = y
x + y = -0.5
y = - 0.5 - x (1)
xy = 1 (2)
Put equation 1 into equation 2
xy = 1
x(-0.5 - x) = 1
-0.5x - x^2 = 1 Subtract 1 from both sides.
-0.5x - x^2 - 1 = 0 Order these by powers
-x^2 - 0.5x -1 = 0 Multiply though by - 1
x^2 + 0.5x + 1 = 0 Use the quadratic formula to solve this.
a = 1
b = 0.5
c = 1
x = [-0.5 +/- sqrt(0.25 - 4)] / 2
x = [-0.5 +/- sqrt(-3.75)] / 2
x = [-0.25 +/- 0.9682i
x1 = -0.25 + 0.9682 i
x2 = -0.25 - 0.9682 i
These two are conjugates. They will add as x1 + x2 = -0.25 - 0.25 = - 0.50.
The complex parts cancel out. Getting them to multiply to 1 will be a little more difficult. I'll do that under the check.
Check(-0.25 - 0.9682i)(-0.25 + 0.9682i)
Use FOIL
F:-0.25 * -0.25 = 0.0625
O: -0.25*0.9682i
I: +0.25*0.9682i
L: -0.9682i*0.9682i = - 0.9375 i^2 = 0.9375
NoticeThe two middle terms (labled "O" and "I" ) cancel out. They are of opposite signs.
The final result is 0.9375 and 0.0625 add up to 1
Answer:
x - 5
Step-by-step explanation: