1) x^2=36
x=6
3) x^2-8x+13=0 —> x= (8±√64-4(1)(13))/2(1)
x=4±√3
5) x^2-6x+9-k=0 —> x=(6±√36-4(1)(9-k))/2(1) —> (6±√4k)/2 —> (6±2√k)/2
x=3±√k
7) y=x^2-4x+11 —> y-11=x^2-4x —> take the half of the coefficient of the single x term and square it and add it on both sides —> y-11+4=x^2-4x+4 —> y-7=(x-2)^2 —> y=(x-2)^2+7
Minimum: (2,7)
Maximum: n/a
X intercepts: none (never crosses the x-intercept)
9) y=x^2+2x-8 —> y+8+1=x^2+2x+1 —> y=(x+1)^2-9
Minimum: (-1,-9)
Maximum: n/a
x-intercepts: (x+4)(x-2) —> (-4,0),(2,0)
11) c
13) (x+7)(x+3)
15) x=(-6±√36-4(1)(10))/2 —> x=(-6±√-4)/2 —> (-6±2i)/2
x=-3±i OR no real solutions
Answer:
2/5 + 1/5 = (3/5) rent and utilities
(3/4) of (2/5) = food and recreation
(3/4) of (2/5) = 3/10
Savings = (5/5) -(3/5) -(3/10) = 1/10
So, if he is saving $193.50 then monthly income = $1,935.00
***** DOUBLE-CHECK ********
Rent & Utilities = (3/5) * 1,935.00 = 1,161.00
food and recreation = 3/10 * 1,935.00 = 580.50
Savings = $193.50
Total = 1,161.00 + 580.50 + 193.50 = $1,935.00
Correct!!
Step-by-step explanation:
C. to the left
when the 2 is inside the absolute value it goes the opposite way so instead of right it would be to the left. If it were on the outside, then you would shift it up or down according to the + or -.
Answer:
x= -5/6
Step-by-step explanation:
this is the answer
Answer: X= -5
Step-by-step explanation: