
The ratio of
= - 34
How to solve such questions?
Such Questions can be easily solved just by some Algebraic manipulations and simplifications. We just try to make our expression in the form which question asks us. This is the best method to solve such questions as it will definitely lead us to correct answers. One such method is completing the square method.
Completing the square is a method that is used for converting a quadratic expression of the form
to the vertex form
. The most common application of completing the square is in solving a quadratic equation. This can be done by rearranging the expression obtained after completing the square:
, such that the left side is a perfect square trinomial
= 
=
(Completing Square method)
=
On comparing with the given equation we get
p = -
and q = 
∴
= 
= - 34
Learn more about completing the square method here :
brainly.com/question/26107616
#SPJ4
38 i think it means infinite
Your answer would be <em />answer choice C. The initial number of transactions is a dependent variable, because the number of transactions made are dependent on the number of hours that have passed.
Hope this helps,
<em>♥A.W.E.<u>S.W.A.N.</u>♥</em>
Set up an equation to solve.
$8.50x (since it is the rate of change) + $12 (flat fee) = total money earned (or y). In this case, we have the total, amount, and are looking for x. Plug $139.50 into the equation.
$8.50x + $12 = $139.50
Now, solve for x.
$8.50x + $12-12 = $139.50-12 > <em>$8.50x = $127.5</em>
$8.50/8.50x = $127.5/8.50 > <em>x = 15</em>
So, the correct answer is <u>D. Olivia babysat for 15 hours.</u>
Answer:
Step-by-step explanation:
Given that there are six different toys and they are to be distributed to three different children.
The restraint here is each child gets atleast one toy.
Let us consider the situation as this.
Since each child has to get atleast one toy no of ways to distribute
any 3 toys to the three children each. This can be done by selecting 3 toys from 6 in 6C3 ways and distributing in 3! ways
So 3 toys to each one in 6x5x4 =120 ways
Now remaining 3 toys can be given to any child.
Hence remaining 3 toys can be distributed in 3x3x3 =27 ways
Total no of ways
= 120(27)
= 3240