Step-by-step explanation:
ax^2+bx+c=0
a=leading term
ok so if the leading term is positive then opens up and has a <u>min</u>
if leading term is negative then opens down and has a <u>max</u>
leading term is positive
1x^2+8x
it has a min
to complete the square, move c aside take 1/2 of b and square it
b=8
8/2=4
4^2=16
now add that to both sides
x^2+8x+16+6=0+16
factor perfect square
(x+4)^2+6=16
subtract 6
(x+4)^2=10
subtract 10
(x+4)^2-10=0
vertex aka min or max is (h,k) when ou have
y=a(x-h)+k
h=-4
k=-10
Answer:
Step 1 Eliminate fractions by multiplying all terms by the least common denominator of all fractions.
Step 2 Simplify by combining like terms on each side of the inequality.
Step 3 Add or subtract quantities to obtain the unknown on one side and the numbers on the other.
Step 4 Divide each term of the inequality by the coefficient of the unknown. If the coefficient is positive, the inequality will remain the same. If the coefficient is negative, the inequality will be reversed.
Step 5 Check your answer.
I believe the answer would b y^2 x^3•12/10
A=abby's shirts
b=bik's shirts
c=cari's shirts
d=dawn's shirts
e=ellen's shirts
a> everybody
b=2.5c
d=(1/3)c
a+b+c+d=120
e=2d+1
e=13
oook
e=13=2d+1
13=2d+1
12=2d
d=6
d=(1/3)c
6=(1/3)c
18=c
b=2.5c
b=2.5(18)
b=45
a+b+c+d=120
a+45+18+6=120
a+69=120
a=51
Answer:
x = 200
Step-by-step explanation:
Given
x -
y = 30 ← substitute y = 15 into the equation
x -
× 15 = 30 , that is
x - 10 = 30 ( add 10 to both sides )
x = 40 ( multiply both sides by 5 to clear the fraction )
x = 200