2.8 = 2 + 0.8
*let's analyze the decimal 0.8 as a fraction
0.8 = 8/10
*but if we divide the numerator and denominator by the same common factor of 2, we find that the fraction can be reduced to:
(8/2)/(10/2) = (4)/(5) = 4/5
*now evaluating the whole value of 2 (from the 2.8), we know there are a total of (5) - fifths in order to make a whole, so for 2 whole, we require:
2*(5/5) = (2*5)/5 = 10/5
*Now we add the fractions together:
2 = 10/5
0.8 = 4/5
10/5 + 4/5
*add numerators only, the denominator stays as a 5
(10 + 4)/5 = 14/5
*there are no common factors between 14 & 5 (other than 1, but that won't help reduce the fraction any), so the fraction is in it's simplest form:
answer is: 14/5
(4x + 3y)² =
<span>(4x)² + 2 (4x) (3y) + (3y)² = </span>
<span>16x² + 24xy + 9y²</span>
Answer:
choice 2, y=1/4x
Step-by-step explanation:
Answer:
the answer is B
Step-by-step explanation:
it is B cause the line is going up so it is a positive linear function and the more he studies the higher he gets on his test
Step by step solution :
Step 1 :
Step 2 :
Pulling out like terms :
2.1 Pull out like factors :
2y + 8 = 2 • (y + 4)
Equation at the end of step 2 :
(0 - (4 • (4y - 10))) + 6 • (y + 4)
Step 3 :
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
4y - 10 = 2 • (2y - 5)
Equation at the end of step 4 :
(0 - 8 • (2y - 5)) + 6 • (y + 4)
Step 5 :
Step 6 :
Pulling out like terms :
6.1 Pull out like factors :
64 - 10y = -2 • (5y - 32)
Final result :
-2 • (5y - 32)
