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mojhsa [17]
3 years ago
10

Solve. 3x2 + 4x = –5 using quadratic equation ...?

Mathematics
1 answer:
cupoosta [38]3 years ago
6 0
3x^2 + 4x - 5 = 0 
x = [-b ±√(b^2 - 4ac)]/2a 

a = 3 
b = 4 
c = -5 

x = [-4 ±√(16 + 60)]/6 
x = [-4 ±√76]/6 
x = [-4 ±√(2^2 * 19)]/6 
x = [-4 ±2√19]/6 
x = [-2 ±√19]/3 

x = [-2 + √19]/3 
x = [-2 + 4.35]/3 
x = 2.35/3 
x = 0.78 (rounded to the nearest hundredth) 

x = [-2 - ±√19]/3 
x = [-2 - 4.35]/3 
x = -6.35/3 
x = -2.12 (rounded to the nearest hundredth) 

<span>∴ x = -2.12 , 0.78 (rounded to the nearest hundredth)</span>
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Minchanka [31]

Answer: what type of math is this

Step-by-step explanation:

3 0
3 years ago
Plz don’t be rude if i got brainly i’m gonna use it
SSSSS [86.1K]

Answer:

y=-5x-36

Step-by-step explanation:

-66-(-61)= -5

6-5= 1

-5/1= -5

Y=-5x + B

-66= -5(6) + B

-66= -30 + B

-66 + 30 = (-30 +30) + B

-36 = B

Y= -5x-36

4 0
3 years ago
For a binomial process, the probability of success is 40 percent and the number of trials is 5. Find the standard deviation.
Yakvenalex [24]

Answer:

Sd(X) =\sqrt{1.2}=1.095

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=5, p=0.4)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

The mean for the binomial distribution is given by:

E(X) =np=5*0.4=2

And the variance is given by:

Var(X) = np(1-p) =5*0.4*(1-0.4)=1.2

And the deviation is just the square root of the variance so we got:

Sd(X) =\sqrt{1.2}=1.095

7 0
3 years ago
Factor each trinomial completely.<br> 4x^2 - 25b^2 and x^2 - 81
GenaCL600 [577]

Step-by-step explanation:

4x2 - 25b2

We can solve it by the squares so

(2x - 5b) (2x + 5b)

2) x2 - 81

The same case is here so

(x - 9) (x + 9)

8 0
3 years ago
ou live in the building on the left in the drawing, and a friend lives in the other building. the two of you are having a discus
Alenkinab [10]

Answer:

1.3

Friend is wrong

Step-by-step explanation:

Given:

friend's claim: height of his building is more than 1.50 times the height of yours

line of sight to the top edge of the other building makes an angle of 21° above the horizontal

line of sight to the base of the other building makes an angle of 52° below the horizontal

Solution:

Let A be the height of your building is A

Let B+A his building is B higher than yours.

Let the distance between the buildings is x.  

then

tan 52 = A/x

tan 21 = B/x  

A/B = tan 52 / tan 21

      =  1.27994 / 0.38386

A/B = 3.33

(A + B) / A = 1.5 0

A/A + B/A = 1.50

1 + B/A = 1.50

B/A is basically (B/x) / (A/x)

So

1+ 3.33 / 3.33

= 4.33/3.33

= 1.3

Since 1.3 is not equal to 1.5

Hence the friend's claim is wrong.

5 0
3 years ago
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