1)
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
1). x² - 10x + a²
By using the formula of (a - b)² = a² - 2ab + b²
x² - 2(5)x + a²
Therefore, for a perfect square of the expression a should be equal to 5.
Therefore, (x² - 10x + 25) will be the answer.
2). x² + 2ax + 36
= x² + 2(a)x + 6²
For a perfect square of the given expression value of a should be 6.
x² + 2(a)x + 6² = x² + 2(6)x + 6²
= (x + 6)²
Therefore, x² + 12x + 36 will be the answer.
3).
To make this expression a perfect square,
a² =
=
Therefore, the missing number will be .
The value of home today is $ 424527.63
<em><u>Solution:</u></em>
Given that, Twenty years ago, Mr. Davis purchased his home for $160,000
Since then, the value of the home has increased about 5% per year
To find: Exponential function to find the value of home today
<em><u>The exponential growth function is given by:</u></em>
Where, "y" is the worth after "t" years
"a" is the initial amount
"r" is the rate of interest per year
From given information,
a = 160000
t = 20 years
Substituting the values we get,
Thus the exponential function is found
Let us find the value
Thus the value of home today is $ 424527.63