Firstly, solve 38C15.
Then solve 42C12.
Compare your answers.
The goal here is to see if 38C15 = 42C12.
Here is the formula:
nCr = n!/(r!(n - r)!
Go for it.
Answer: In June 2097
Step-by-step explanation:
According to the model, to find how many years t should take for
we must solve the equation
. Substracting 21100 from both sides, this equation is equivalent to
.
Using the quadratic formula, the solutions are
and
. The solution
can be neglected as the time t is a nonnegative number, therefore
.
The value of t is approximately 85 and a half years and the initial time of this model is the January 1, 2012. Adding 85 years to the initial time gives the date January 2097, and finally adding the remaining half year (six months) we conclude that the date is June 2097.
Answer: $35
Step-by-step explanation:
From the question, we are informed that the current bill of the person is $140.00 per month and that the person wants to decrease the bill by 25%.
To know the amount that the person needs to deduct, we have to calculate 25% of $140.00. This will be:
= 25% of $140
= 25/100 × $140
= 1/4 × $140
= 0.25 × $140
= $35
The person will need to remove $35. The person will now pay ($140 - $35) = $105 monthly.
Answer:
4x−7
Step-by-step explanation:
Being given our polynomial:
+ x - 14,
We must find the roots to get our answer.
x = (- 1 ± √(1 - 4*4*(-14)) / 8
x = (- 1 ± √225) / 8
x = ( -1 ± 15) / 8
x₁ = (- 1 + 15)/ 8 = 14/8 = 7 / 4
x₂ = (- 1 - 15) / 8 = - 16/2 = - 8
The factors we came up with:
(x - x₁)(x - x₂)
(x - 7/4)(x + 8)
1/4(4x - 7)(x + 8)
So,
The correct option is C.
:)
Answer:
The coordinates of
are
and
.
Step-by-step explanation:
Let be
and
endpoints of segment AB and
a point located 7/10 the way from A to B. Vectorially, we get this formula:


By Linear Algebra we get the location of
:



If we know that
and
, then:




The coordinates of
are
and
.