Factor the trinomial below. 4x^2+23-6. which two binomials are factors of the trinomial
1 answer:
Answer:
4x - 1 and x + 6 are the factors of given Trinomial
Step-by-step explanation:
The given Trinomial is:
We can factorize this trinomial by mid-term splitting. The mid-term(23x) can be split up in two terms (24x and -x) such that their sum is 23x and their product(-24x²) is equal to the product of other two terms (4x² and -6)
So, the above expression can be written as:
Therefore, 4x - 1 and x + 6 are the factors of given Trinomial
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Answer:
Unfortunately, your answer is not right.
Step-by-step explanation:
The functions whose graphs do not have asymptotes are the power and the root.
The power function has no asymptote, its domain and rank are all the real.
To verify that the power function does not have an asymptote, let us make the following analysis:
The function , when x approaches infinity, where does y tend? Of course it tends to infinity as well, therefore it has no horizontal asymptotes (and neither vertical nor oblique)
With respect to the function we can verify that if it has asymptote horizontal in y = 0. Since when x approaches infinity the function is closer to the value 0.
For example: 1/2 = 0.5; 1/1000 = 0.001; 1/100000 = 0.00001 and so on. As "x" grows "y" approaches zero
Also, when x approaches 0, the function approaches infinity, in other words, when x tends to 0 y tends to infinity. For example: 1 / 0.5 = 2; 1 / 0.1 = 10; 1 / 0.01 = 100 and so on. This means that the function also has an asymptote at x = 0
<h2 /><h2 /><h2>Question</h2>
6.A small ball is dropped from a tall building.which equation could present the ball's height, <em>h</em>, in feet, relative to the ground, as a function of time, <em>t</em><em>,</em>in seconds
✒ Answer
Answers:
- 300 = 12i+36s
- i = 10
- Yes it's reasonable
- i = -11
Refer to the diagram below.
The explanation for each part is below as well.
========================================================
Part 1
i = number of individual nail polish bottles
s = number of sets of 4
12i = money earned from just selling the individual bottles only
36s = money earned from just selling the sets of 4 only
12i+36s = total money earned = 300
12i+36s = 300 is the equation to set up
This is the same as 300 = 12i+36s because A = B is the same as B = A.
========================================================
Part 2
Plug in s = 5 to represent she sold 5 sets. Let's solve for i
12i+36s = 300
12i+36(5) = 300
12i+180 = 300
12i = 300-180
12i = 120
i = 120/12
i = 10
If she wants to sell $300 worth of product overall, and she already sold 5 sets so far, then she needs to sell 10 individual bottles to reach this monthly goal.
========================================================
Part 3
Yes it's reasonable to reach this goal. This is because the value of i (from part 2) was some positive whole number.
========================================================
Part 4
We'll repeat part 2 but with s = 12
12i+36s = 300
12i+36(12) = 300
12i+432 = 300
12i = 300-432
12i = -132
i = -132/12
i = -11
As the instructions state, we get a negative value. This is not reasonable because we can't sell a negative number of items. A negative number of items in general doesn't make sense.
The instructions further state that $432 was already made and that she exceeded her goal. Meaning that she doesn't have to worry about selling the individual bottles if selling the sets has her reach something over $300.
