Question 5
1 answer:
Hello!
Firstly, you can notice that this graph has a range of . Amplitude is the maximum displacement on the graph of a function, and it can be determined if it is located on the front of a function. It's like a vertical stretch, it located on the front of function, but different.
If y = A cos x , then the amplitude is |A|. Note this is the absolute value of A. For a limited domain, the value of A would determine the maximum height of these functions. Therefore, the amplitude is 1/2.
Therefore, the only function that has a amplitude of 1/2 is choice C, f of x equals one-half times cosine of x or f(x) = 1/2cos(x).
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Answer:
The difference between their bonus is £2.60
Step-by-step explanation:
The bonus Tom receives is 30% of £96
Tom's bonus
So the bonus Tom received is £28.8
From the question, Sally gets a bonus of £31.40
We need to find the difference between the bonus Tom gets and the bonus Sally gets.
This given by:
£31.40 -£28.8=£2.60
Question (1):
The general formula of the quadratic equation is:
ax² + bx + c = 0
The given equation is:
5x² + 9x = 4
Rearrange the given equation to look the standard one:
5x² + 9x - 4 = 0
Now, compare the coefficients in the given equation with the standard one, you will find that:
a = 5, b = 9 and c = -4
Question (2):
The given expression is:
-5 + 2x²<span> = -6x
</span>Rearrange this expression to be in standard form:
2x² + 6x - 5 = 0
This means that:
a = 2
b = 6
c = -5
The roots of the equation can be found using the formula in the attached image.
Substituting in this formula with the given a, b and c, we would find that the correct choice is third one (I have attached the correct choice)
Question (3):
Quadratic formula (the one used in the previous question, also shown in attached images) is the best method to get the solution of any quadratic equation. This is because, putting the equation in standard form, we can simply get the values of a, b and c, substitute in the formula and get the precise solutions of the equation.
Hope this helps :)
The general formula of the quadratic equation is:
ax² + bx + c = 0
The given equation is:
5x² + 9x = 4
Rearrange the given equation to look the standard one:
5x² + 9x - 4 = 0
Now, compare the coefficients in the given equation with the standard one, you will find that:
a = 5, b = 9 and c = -4
Question (2):
The given expression is:
-5 + 2x²<span> = -6x
</span>Rearrange this expression to be in standard form:
2x² + 6x - 5 = 0
This means that:
a = 2
b = 6
c = -5
The roots of the equation can be found using the formula in the attached image.
Substituting in this formula with the given a, b and c, we would find that the correct choice is third one (I have attached the correct choice)
Question (3):
Quadratic formula (the one used in the previous question, also shown in attached images) is the best method to get the solution of any quadratic equation. This is because, putting the equation in standard form, we can simply get the values of a, b and c, substitute in the formula and get the precise solutions of the equation.
Hope this helps :)