Question 1 of 10 A state gets its money from a state lottery, a property tax, a sales tax of 5%,
and an excise tax. This year it projects that it will receive $32 million from the
state lottery, $40 million from the property tax, and $10 million from the
excise tax. If the state needs $100 million to cover its expenses, how many
dollars worth of taxable items must be purchased in the state this year for the
state to break even?
A. $18,000,000
B. $900,000
C. $90,000,000
D. $360,000,000

80 the answer is 80

step-by-step explanation:

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0

step-by-step explanation:

rectangles are made up of 4 right angles, which means that a side and a base meet perpendicular to one another.   their slopes then have to reflect perpendicular slopes.   perpendicular slopes are opposite reciprocals of one another.   for example, if the slope of one line is +2/3, then the perpendicular slope to that would be -3/2.   so we look for that combination in our choices.

all of them satisfy that condition (so what's the question, i guess? )