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Studentka2010 [4]
2 years ago
13

Zero of the functions f(x)= x^2 + 4x+3 and why ?

Mathematics
1 answer:
slava [35]2 years ago
6 0
There are two zeros: -3 and -1. This is because when you factor f(x)<span>= x^2 + 4x + 3, it becomes f(x) = (x + 3)(x + 1). In order to find the zeros, set f(x) to 0, and then solve for x for both (x + 3) and (x + 1). You can check your answer by substituting either -3 or -1 for x in the equation 0 = </span>x^2 + 4x + 3.
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analyze the diagram below and complete the instructions that follow. find the value of x and the value of y
Aleks [24]
Answers:
x = 2√2 units
y = 2√6 units

Explanation:
The given diagram is a right-angled triangle. This means that the special trig functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent

For getting x and y, we can choose to either work with θ = 30 or θ = 60.
I will work with 30.

1- For x:
We have:
θ = 30
x is the opposite side to θ
4√2 is the hypotenuse
Therefore, we can apply the sine function as follows:
sin θ = opposite / hypotenuse
sin (30) = x / 4√2
x = sin (30) * 4√2
x = 2√2 units

2- For y:
We have:
θ = 30
x is the adjacent side to θ
4√2 is the hypotenuse
Therefore, we can apply the cosine function as follows:
cos θ = adjacent / hypotenuse
cos (30) = y / 4√2
y = cos (30) * 4√2
y = 2√6 units

Hope this helps :)


8 0
3 years ago
Read 2 more answers
Find the median of the data set: -66, -48, -52, -42
olga2289 [7]
-66, -52, - 48, -42


If you can have 2 medians (since there is only 4 numbers), it is -52 and -48

If you can only have one,then i believe you choose -50, because it is in between -48 and -52

hope this helps
6 0
3 years ago
Assume a fair deck of playing cards. Find the probability of drawing a 10, replacing it and drawing an ace.
cupoosta [38]

Answer:

There are 52 cards in a deck. The total number of outcomes possible when picking 2 cards and replacing them is 52 * 52 = 2704.

There are 4 10s and 4 aces so the total number of successful outcomes = 4 * 4 = 16.

Probability = 16 / 2704 = 1 / 169

6 0
2 years ago
The point (2,-5) is reflected over the y-axis. Which of the following points is the image?
docker41 [41]
2,5 would be the answer
7 0
3 years ago
How many ordered pairs do you need in order to use the Slope Formula?
Fantom [35]
You only need two separate ordered pairs for the slope formula
8 0
2 years ago
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