The correct expression is (a) n = 100; (x + 10)^2
<h3>How to determine the value of n?</h3>
The expression is given as:
x^2 + 20x + n
Take the coefficient of x
k = 20
Divide by 2
k/2= 10
Square both sides
(k/2)^2 = 100
The above value represents the value of n
i.e.
n = 100
So, we have:
x^2 + 20x + 100
Expand
x^2 + 10x + 10x + 100
Factorize
x(x + 10) + 10(x + 10)
Factor out x + 10
(x + 10)^2
Hence, the correct expression is (a) n = 100; (x + 10)^2
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Answer:
60%
Step-by-step explanation:
Formula:
Percentage decrease = (amount of decrease)/(original price)
✪ Solve ✪
3.85 - 1.54/3.85 x 100
2.31/3.85 x 100 = 60%
Hence, Percent decrease is 60%
<em>~Lenvy</em>
The true statement is that renting from Company B will be cheaper if Samir drives the truck 100 miles. Then the correct option is D.
<h3>What is a linear equation?</h3>
The linear equation is given as,
y = mx + c
Where m = the slope of the line
c is the y-intercept of the line.
Let y be the total amount and x be the number of miles.
Samir can rent a moving truck from Company A for $35 plus $0.50 per mile. Then the equation will be
y = 0.5x + 35 ....1
Company B for $25 plus $0.70 per mile. then the equation will be
y = 0.7x + 25 ....2
For the same rent, the number of miles will be
0.7x + 25 = 0.5x + 35
0.2x = 10
x = 50 miles
Renting from Company B will be cheaper if Samir drives the truck 100 miles. Then the correct option is D.
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