<h2>
Converting Words into Equations</h2>
We can convert word problems into equations by translating key terms into operations:
- <em>sum</em> = we add
- <em>difference</em> = we subtract
- <em>twice</em> = multiply by 2
- <em>is</em> = equals
<h2>Solving the Question</h2>
We're given:
- sum of two numbers is 5
- difference between the first number and twice the second number is 29
Let the first number be <em>a</em> and the second number be <em>b.</em>
Translate the words into numbers:
- <u>sum</u> of two numbers <u>is</u> 5
- <u>difference</u> between the first number and <u>twice</u> the second number <u>is</u> 29
Subtract the second equation from the first to isolate <em>b</em>:
Therefore <em>b</em> is -8.
Substitute <em>b</em> back into the first equation to find <em>a</em>:
Therefore, <em>a</em> is 13.
<h2>Answer</h2>
<em>a</em> = 13
<em>b</em> = -8
Answer:
-1 and -2
Step-by-step explanation:
f(x) = 4x² − 8kx + 8x −9
f(x) = 4x² − 8(k−1)x − 9
If one root of f(x) is the opposite of the other, then f(x) must be a difference of squares, which means -8(k−1) = 0.
-8(k−1) = 0
k = 1
Therefore, the other polynomial is:
x² + 3x + 2
(x + 1) (x + 2)
The zeros are -1 and -2.
Answer:
10+3i
Step-by-step explanation:
Subtract 3 and 1 which is 2, Now the equation looks like this:
(12+3i)-(2)
Multiply the negative with 2:
12+3i-2
Subtract 12 and 2:
10+3i
Answer: 10+3i
Hope this helps!
Reflection is when the pre-image is flipped over a line.
Just multiply the cost by the tax rate (use the decimal fraction 0.0625 for this):
0.0625($498) = answer