d) You have a <u>difference of squares</u>:
49y² - 9 = (7y)² - 3²
Recall the identity,
a² - b² = (a - b) (a + b)
So,
49y² - 9 = (7y - 3) (7y + 3)
e) Pull out the common factor 3 from each term:
3x² - 3x - 90 = 3 (x² - x - 30)
Now use the <u>sum-product method</u>. Notice that we can write 30 = 5 • 6, and 5 - 6 = 1, so
3x² - 3x - 90 = 3 (x + 5) (x - 6)
f) Same as in (e), use the <u>sum-product method</u>. Notice that 42 = 7 • 6, and -7 - 6 = -13, so
x² - 13x + 42 = (x - 7) (x - 6)
Number of ways of picking a smaller number out of a bigger number is called combination.
Number of way of picking 3 stamps out of 4 is 4C3 (4 combination 3) = 4! / (3! x (4 - 3)!) = 4! / (3! x 1!) = (4 x 3 x 2 x 1) / (3 x 2 x 1 x 1) = 24 / 6 = 4 ways.
It would take 60 days to add 30 million new accounts
<h2>
Answer: x=-2(-y+4)</h2>
Step-by-step explanation:
-2x+4y=16
Subtract 4y from both sides
-2x+4y-4y=16-4y
Simplify
-2x=16-4y
Divide both sides by -2
-2x/-2=16/-2- 4y/-2
<h2>
x=-2(-y+4)</h2>
Answer:
let's take lcm of 4 and 5 is 20
so (3/4)*(5/5) =15/20
and (4/5)*(4/4)=16/20
so 4/5 Is bigger
Step-by-step explanation:
4/5 is bigger
