Answer: V≈1547.5
Step-by-step explanation:
Answer:
8 [ (x-3) (2x+1) ]
Step-by-step explanation:
Factoring 2x2 - 5x - 3
The first term is, 2x2 its coefficient is 2 .
The middle term is, -5x its coefficient is -5 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 2 • -3 = -6
Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is -5 .
-6 + 1 = -5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 1
2x2 - 6x + 1x - 3
Step-4 : Add up the first 2 terms, pulling out like factors :
2x • (x-3)
Add up the last 2 terms, pulling out common factors :
1 • (x-3)
Step-5 : Add up the four terms of step 4 :
(2x+1) • (x-3)
Which is the desired factorization
Answer:
54 minutes
Step-by-step explanation:
The sum of fractions is ...
2/5 + 3/20 + 1/3 = 11/20 +1/3 = (3·11 + 20·1)/(20·3) = 53/60
Then the 42 minutes devoted to English represents 1 - 53/60 = 7/60 of her study time.
Kaya's social studies time is 3/20 = 9/60 of her total, so the ratio of SS to Eng is ...
SS : Eng = (9/60) : (7/60) = 9 : 7
When we multiply the numbers in this ratio by 6, we find ...
SS : Eng = 54 : 42
Kaya spent 54 minutes studying social studies.
The sum of two rational numbers will always be rational. A rational number is a number that can be expressed in the form a/b with b ≠ 0. So, if we can prove that the sum of two rational numbers has a denominator, we have proven this statement. Since any rational number can be written as a/b, we can write sum of two rational numbers as a/b + c/d. We can make this ad+bc/bd. Since we proved that the sum of two rational numbers has a denominator, we also prove that their sum is rational.
