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yaroslaw [1]
2 years ago
15

Which are the solutions of x2 = –13x – 4? 0, 13 0, –13

Mathematics
2 answers:
MrRissso [65]2 years ago
8 0

Answer:

Option 3 and 4 - 0,-13

Step-by-step explanation:

Given : Expression x^2=-13x-4

To find : What are the solutions?

Solution :

The quadratic formula of the quadratic equation ax^2+bx+c=0 is

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

Comparing with general equation, x^2+13x+4=0

where, a=1 ,b=13, c=4

Substitute in the formula,

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

x=\frac{-13\pm\sqrt{13^2-4(1)(4)}}{2(1)}

x=\frac{-13\pm\sqrt{169-16}}{2}

x=\frac{-13\pm\sqrt{153}}{2}

x=\frac{-13+\sqrt{153}}{2},\frac{-13-\sqrt{153}}{2}

The value of x is x=-0.315,-12.68

Approximately the solution of the expression is x=0,-13.

masha68 [24]2 years ago
3 0
It's defiantly not C. I made a 90%  but missed this question. I hope this helps you cross it down.  My next guess would be D.

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Mr zuro finds the mean height of all 14 students in his class to be 69.0 inches. Just as Mr Zuro finishes explaining how to get
ycow [4]

Answer:

69.1

Step-by-step explanation:

<em>Mean height of 14 students = 69.0 inches</em>

<em>Mean = sum of data/number of data</em>

<em>69 = sum of data/14</em>

<em>sum of data = 966</em>

<u>FOR NEW MEAN:</u>

<em>Height of additional student = 70.5</em>

Mean = sum of data/ number of data

Mean = 966+70.5/14+1

Mean = 1036.5/15

Mean = 69.1

Therefore, the mean height of the 15 students in the class is 69.1

4 0
2 years ago
You are tired at the end of the term and decide to borrow $500 to go on a trip to whatever land. You go to the bank and borrow t
seropon [69]

Answer:

A)55

B)110


Step-by-step explanation:500 /11%=55

55*2=110






3 0
2 years ago
A scuba diver starts at 79.5 meters below the surface and descends until he reaches 108.3 meters below sea level. How many meter
nata0808 [166]

Answer:

28.8

Step-by-step explanation:

You are looking for the number between 108.3 and 79.5, so you have to do this 108.3-79.5

8 0
2 years ago
Read 2 more answers
There are two misshapen coins in a box; their probabilities for landing on heads when they are flipped are, respectively, .4 and
Leokris [45]

Answer:

E(X) = 6.0706

Step-by-step explanation:

1) Define notation

X = random variable who represents the number of heads in the 10 first tosses

Y = random variable who represents the number of heads in range within toss number 4 to toss number 10

And we can define the following events

a= The first coin has been selected

b= The second coin has been selected

c= represent that we have 2 Heads within the first two tosses

2) Formulas to apply

We need to find E(X|c) = ?

If we use the total law of probability we can find E(Y)

E(Y) = E(Y|a) P(a|c) + E(Y|b)P(b|c) ....(1)

Finding P(a|c) and using the Bayes rule we have:

P(a|c) = P(c|a) P(a) / P(c) ...(2)

Replacing P(c) using the total law of probability:

P(a|c) = [P(c|a) P(a)] /[P(c|a) P(a) + P(c|b) P(b)] ... (3)

We can find the probabilities required

P(a) = P(b) = 0.5

P(c|a) = (3C2) (0.4^2) (0.6) = 0.288

P(c|b) = (3C2)(0.7^2) (0.3) = 0.441

Replacing the values into P(a|c) we got

P(a|c) = (0.288 x 0.5) /(0.288x 0.5 + 0.441x0.5) = 0.144/ 0.3645 = 0.39506

Since P(a|c) + P(b|c) = 1. With this we can find P(b|c) = 1 - P(a|c) = 1-0.39506 = 0.60494

After this we can find the expected values

E(Y|a) = 7x 0.4 = 2.8

E(Y|b) = 7x 0.7 = 4.9

Finally replacing the values into equation (1) we got

E(Y|c) = 2.8x 0.39506 + 4.9x0.60494 = 4.0706

And finally :

E(X|c) = 2+ E(Y|c) = 2+ 4.0706 = 6.0706

6 0
2 years ago
The amount of profit, p, you earn by selling knives, k, can be determined by: p=200k-500 a) Determine the constraints on profit
Natalka [10]
We are given with the formula
p = 200k - 500
a) The constraint for this formula is obtained from the idea that the profit must be positive
200k - 500 > 0 
k > 500/200
k > 2.5
b) To make 14000 profit
 14000 = 200k - 500
k = 72.5 or 73 knives must be sold
3 0
2 years ago
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