Answer:
D: -5(-6x^2 + x + 2)
E: 5(2x + 1)(3x − 2)
Step-by-step explanation:
The <em>first two answer choices have incorrect constants</em> (25 and 3 vs -10). A factor of 5 is removed from the remaining answer choices, so let's remove a factor of 5 and see what we get:
30x^2 -5x -10 = 5(6x^2 -x -2)
An additional x cannot be factored from the expression, so <em>choice C can be eliminated</em>.
Multiplying each of these factors by -1 will make the product correspond to answer choice D.
Factoring will make it correspond to answer choice E, best verified by finding the x-term of the product of the binomial factors:
E: 2x(-2) +1(3x) = -x, as required
F: 2x(2) -1(3x) = x, wrong sign
The equivalent expressions are those of choices D and E.
Answer:
2,000(1.04)t
Step-by-step explanation:
To determine this answer, you would use the formula initial value (1 + interest) times the number of years. This would equal 2,000(1.04)t.
The quotient for the given mixed fraction is 1.9318
Step-by-step explanation:
Step 1; First we must convert the mixed fractions into improper fractions. To do that the whole number is multiplied with the denominator and add with it the numerator while the denominator does not change. To convert this fraction 
we multiply 4 with 4 and then add 1 and keep the 4 as the fraction's denominator so we get 
. Similarly, we get the improper fraction 
for converting the mixed fraction 
.
Step 2; After conversion, it's just a matter of division. The fraction equals 4.25 while the denominator equals 2.2. Dividing 4.25 by 2.2 we get 1.9318.
Answer:
Step-by-step explanation:
