Answer:
x= -8 x=2
Step-by-step explanation:
x^2 +6x-6= 10
Subtract 10 from each side
x^2 +6x-6-10= 10-10
x^2 +6x-16 = 0
What 2 number multiply to -16 and add to 6
8 * -2 = -16
8 -2 = 6
(x+8) (x-2)=0
Using the zero product property
x+8=0 x-2=0
x= -8 x=2
825
1,800/120 = 15
55 x 15 = 825
Selecting 5 students to participate in a math contest would require combinations.
<u>SOLUTION:
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given that, Selecting 5 students to participate in a math contest would require the calculating of a permutation or combination?
So, we need to differentiate between permutations and combinations.
Permutations - In mathematics, permutation is the act of arranging the members of a set into a sequence or order
Combinations - In mathematics, a combination is a selection of items from a collection, such that the order of selection does not matter.
So, now, for our math test, we just require students but not in an order nor with arrangements.
Hence, selecting 5 students to participate in a math contest would require combinations.
Given :
Marisa wants to buy a home in Atlanta with a 30-year mortgage that has an annual interest rate of 4.9%.
The house she wants is $250,000 and she will make a $55,000 down payment and borrow the remainder.
To Find :
What is Marisa's monthly mortgage payment to the nearest dollar.
Solution :
Money remains, m = $( 250000 - 55000 ) = $195000 .
Total price after interest, T = m( 1 + rt )
T = 195000×( 1 + 0.049×1)
T = $204555
Monthly payment,
Therefore, monthly payment is $17046.25 .
Hence, this is the required solution.
The factors of 100 are 1, 2, 4, 5, 10, 20, 25 50 and 100
the factors of 73 are 1 and 73. 73 os a prime number
