A scientist places 7.35 grams of a radioactive element in a dish. The half-life of the element is 2 days. After d days, the number of grams of the element remaining in the dish is
d/2
R(d) = 7.350
given by the function
Which statements are true about the equation when it
is rewritten without a fractional exponent? Select all that apply.
(2 points)
13:09)
A
An approximately equivalent equation is R(d) = 7.35(0.250).
B.
An approximately equivalent equation is R(d)= 7.35(0.707).
C.
The base of the exponent in this form of the equation can be interpreted to mean
that the element decays by 0.250 grams per day.
D.
The base of the exponent in this form of the equation can be interpreted to mean
that the element decays by 5.707 grams per day.
E.
The base of the exponent in this form of the equation can be interpreted to mean
that about 25% of the element remains from one day to the next day.
F.
The base of the exponent in this form of the equation can be interpreted to mean
that about 70.7% of the element remains from one day to the next day

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.

where is the graph, sweetheart?

step-by-step explanation:

for certain loans like mortgage loans, lenders scrutinize your debt to income ratio when you are applying for credit because it them evaluate your ability to repay your debts.

there is only one way to arrange all the eight relative to each other because they are not distinct. we have

now there are nine places to place an (and not more than one in one place).   because we have four symbols, we need to choose four of these nine places to insert an . order does not matter because the are not distinct.

thus there are 1 · c(9,4) ways, or, if we calculate it,

thus there are 126 ways to form such "words."