The theorem is: a^2 - b^2 = (a+b) (a-b)
So, let's do this:
64x^2 - 49=
(8x)^2 - (7)^2=
(8x+7) (8x-7)
Answer:
$225 of interest in 5 years.
Step-by-step explanation:
Step 1: 5% x 5 = 25%.
Step 2: 900 ÷ 4 = 225.
Karl will earn $225 of interest in 5 years.
Answer:
3x-15
Step-by-step explanation:
(x-5)(8-5)
(x-5)(3)
re-order
(x-5)×3
3(x-5)
Distribute
3(x-5)
3x-15
72.3 - 39.1 = 4 tens - 7 ones - 2 tens is the correct order after rewriting.
Given the formula 72.3 + (-39.1)
removing the parentheses:
= 72.3 + (-39.1) (-39.1)
= 72.3 - 39.1
converting decimal numbers to place values
72.3 = 7tens plus 2units plus 3tenths
72.3 = 7(10) (10)
+2(1)+3(1/10)
72.3 =70+2+0.3
Similarly, 39.1
39.1 = 3tens plus 9units plus 1tenth
39.1 = 3(10)+9(1)+1(1/10)
39.1 =30+9+0.1
72.3 - 39.1 = 70+2+0.3 - (30+9+0.1)
72.3 - 39.1 = 70+2+0.3 - 30-9-0.1
72.3 - 39.1 = 70-30+2-9+0.3-0.1
72.3 - 39.1 = 40 - 7 +0.2
Hence after rewriting we get 72.3 - 39.1 = 4 tens - 7 ones - 2 tens
Learn more about mathematical expressions at
brainly.com/question/17178740
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1. We need to get rid of those pesky parentheses. We do this by distributing the 3.
2. We need to get "n" by itself, so we add 9 to both sides.
3. Add like terms.
4. Now, we need to get rid of the -9, so we divide both sides by -9. Remember that dividing by negative numbers changes the direction of the "greater than or equal to" symbol.
5. We divide, and the negatives cancel.
I wrote the answer both ways so that I could tell what the number line needed to look like.