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pentagon [3]
3 years ago
15

For any three consecutive numbers, prove algebraically that the largest number and the smallest number are factors of the number

that is one less than the square of the middle number.
Mathematics
1 answer:
Burka [1]3 years ago
8 0
"For any three consecutive numbers": x,y,z:
x
y=x+1
z=x+2

"prove algebraically that the largest number and the smallest number are factors"
x*z=

"of the number that is one less than the square of the middle number"

=y²-1

x*z=y²-1
x*(x+2)=(x+1)²-1
x²+2x=x²+2x+1-1
x²+2x=x²+2x

both sides of the equation are the same, so the statement is correct
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Is .634 rational number
Ksivusya [100]
Yes 0.634 is a rational number.
Rational numbers are those numbers that can be still expressed in standard form or in fraction form and vice-versa. Unlike irrational numbers that are opposed to the definition of rational numbers. These values include pi, square root of two and etc. These values are impossible to fractionize. To better illustrate this circumstance.

We can have calculate a number that will have a quotient of 0.634 or a fraction that is equal to the given value. <span><span>
1. </span><span> 634/1000 = 0.634</span></span>
<span><span>2. </span><span> 317/500 = 0.634 </span></span>



3 0
3 years ago
A vehicle is purchased for $18,000, with a down payment of $6,098. The balance in financed for three years at an annual rate of
mestny [16]
The Present value of an annuity is given by PV = P(1 - (1 + r/t)^-nt)/(r/t)
where: P is the monthly payment, r is the annual rate = 7% = 0.07, t is the number of periods in one year = 12 and n is the number of years = 3.

18,000 - 6,098 = P(1 - (1 + 0.07/12)^-(3 x 12)) / (0.07/12)
11,902 = P(1 - (1 + 0.07/12)^-36) / (0.07/12)
P = 0.07(11,902) / 12(1 - (1 + 0.07/12)^-36) = 367.50

Therefore, monthly payment = $367.50
7 0
3 years ago
PLS ILL GIVE BRAINLIEST
Nesterboy [21]

Answer:

Positive-Real

Zero-Complex

Negative-Real

Really hope this is right

5 0
2 years ago
What is the area of the shaded region and what steps do I have to do to find it out
natima [27]

Answer:

Usually, we would subtract the area of a smaller inner shape from the area of a larger outer shape in order to find the area of the shaded region.

Step-by-step explanation:

6 0
2 years ago
Which conditional statement is true?
Zigmanuir [339]

Answer:

if it is wednesday, it is a weekday.

Step-by-step explanation:

not all tables have 4 legs, not all printed words are in books, and not all months have 30 days.

5 0
3 years ago
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