Use the quadratic function f(x) = 2x2 + 4x +3 to answer the following questions.

1 answer:

8 0

The vertex is (-1,1)

Explanation

The vertex formula to find the x coordinate of the formula is -b/2a

So we plug in the values into the formula which is

-4/2(2)

Simplify it

-4/4
=-1
-1 is now the x cord of the vertex.

So now we will plug in the x into the quadratic equation which is 2x^2+4x+3

2(-1)^2 + 4(-1) + 3 = 2 -4 +3

Simplify it

5 - 4= 1

Y=1
So the Coordinates of the vertex is (-1,1)

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Slope for (6,5) (14, -3)

otez555 [7]

Answer:

m= -1

I hope this helped, have a great day!! <3

7 0

2 years ago

How many permutations are there of the letters in the words (a) TRISKAIDEKAPHOBIA (fear of the number 13)? (b) FLOCCINAUCINIHILI

zubka84 [21]

Answer: Hello!

Let's start with the word TRISKAIDEKAPHOBIA wich has 17 letters (some of them repeat, but it does not matter in this problem)

We want to know how many permutations we can do with 17 letters: then think this way, Lets compose a word. The first letter of this word has 17 options, the second letter of the word has 16 options (you already took one of the set) the third letter of the word has 15 options, and so on.

The total number of permutations is the product of the number of options that you have for each letter, this is:

17*16*15*14*....*3*2*1 = 17! = 3.6e+14

(b) FLOCCINAUCINIHILIPILIFICATION now we have 30 letters in total, using the same reasoning as before, here we have 30! permutations; this is

30! = 2.65e+32

then P = 47! = 2.59e+59

(d) DERMATOGLYPHICS: here are 18 letters, then:

p = 18! = 6.4e+15

6 0

2 years ago

I need accurate answer please because this is the last attempt

matrenka [14]

Answer:

I'm not very sure, however I think you have to replace the sign - for a +.

Step-by-step explanation:

7 + 4√13

3 0

3 years ago

Please help :((((((

Alik [6]

Answer: c)

Step-by-step explanation:

This can be done through trial-and-error. Use the pythagoreas' theorem $a^{2} +b^{2} =c^{2}$ and if the left side of the equation is equal to the right, that is the answer.