Consider the expression
To factorize the expression in the denominator we use difference of squares:
To factorize
we use the following method:
where a, b are 2 numbers such that a+b= -1, the coefficient of x,
and a*b= -6, the constant.
such 2 numbers can be easily checked to be -3 and 2
(-3*2=6, -3+2=-1)
So
for x>2
thus
for x>2,
Answer:
for x>2
, (but the expression is never 0)
Hello! 3x + 20 and 8x - 5 are equal. To find the value of "x", we should set up and solve an equation. It would be written like this:
3x + 20 = 8x - 5
First off, subtract 3x from both sides in order to get 20 = 5x - 5. Add 5 to both sides to get 25 = 5x. Now, divide each side by 5 to isolate the "x". 25/5 is 5. Now, let's plug in the value and see if it works. 3 * 5 is 15. 15 + 20 is 35. 8 * 5 is 40. 40 - 5 is 35. 35 = 35. There. x = 5.
If we look at the series, one third of the current term gives the numerical value of the next term.
If we need to express it algebraically, we can write the following equation.
Therefore, our common multiplier can be found as follows. Because this sequence is a geometric sequence.
In geometric sequences, any term can be written in terms of the first term. Below is an example.
Since we know the numerical values of the first term and the common factor of the series, we can easily find the seventh term.
Answer:
Q(x)=(x+3)^2+4
Step-by-step explanation:
The new function, Q(x), would be Q(x)=(x+3)^2+4.
Problem 1 is asking "the other cost."
It is described in the problem statement as "a cost for every one-tenth of a mile traveled." It is described in the table header as "Mileage Cost in Dollars."
The only value in the "Mileage Cost in Dollars" column is 1, which corresponds to a distance of 1/10 mile. So, it appears the numerical value of "the other cost" is $1 for each tenth-mile traveled.
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The problem statement does not make clear whether the desired answer is the description of the other cost, or its numerical value.
