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lapo4ka [179]
3 years ago
14

Write the equation of a linear function for which f=(-4)=0 and f=(0)=-2

Mathematics
1 answer:
densk [106]3 years ago
6 0

Answer:

y = -0.5x - 2

Step-by-step explanation:

equation: f(x) = mx + b

f(-4) : -4m + b = 0  ...(1)

f(0):   0m + b = -2            b = -2   ... plug in (1)

-4m - 2 = 0

m = - 1/2 = - 0.5

linear equation: y = -0.5x - 2

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Can someone please help me solve this? <br><br> 2x+5y=-1 <br><br> -10x-25y=5
fredd [130]

this is system of equations

2x + 5y = -1   times this one by 5 to make the y's opposite

-10x -25y = 5

10x - 25y = -5  (this is it times by 5, now add them)

__________

0 + 0       = 0    

now since everything cancels and both sides are equal it has infinite solutions beaus they are actually the same line.  


3 0
4 years ago
When studying radioactive material, a nuclear engineer found that over 365 days,
Gnom [1K]

Answer:

a) The mean number of radioactive atoms that decay per day is 81.485.

b) 0% probability that on a given day, 50 radioactive atoms decayed.

Step-by-step explanation:

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\lambda}*\lambda^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\lambda is the mean in the given interval.

a. Find the mean number of radioactive atoms that decayed in a day.

29,742 atoms decayed during 365 days, which means that:

\lambda = \frac{29742}{365} = 81.485

The mean number of radioactive atoms that decay per day is 81.485.

b. Find the probability that on a given day, 50 radioactive atoms decayed.

This is P(X = 50). So

P(X = 50) = \frac{e^{-81.485}*(81.485)^{50}}{(50)!} = 0

0% probability that on a given day, 50 radioactive atoms decayed.

5 0
3 years ago
Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following p
strojnjashka [21]

Answer:

P(X = 3) = 0.14680064

Step-by-step explanation:

Formula=============================

p\left( X=k\right)  =C^{k}_{n}p^{k}(1-p)^{n-k}\ \ ;\ k\in \left\{ 0,\ldots ,n\right\}

……………………………………………………………………..

Given :

n = 8

p = 0.2

1 - p = 1 - 0.2 = 0.8

k = 3

Then

p\left( X=3\right)  =C^{3}_{8}(0.2)^{3}(0.8)^{5}

               =0.14680064

4 0
2 years ago
URGENT !!! ANSWER NUMBER 7, right answer will get the brainlest!!!!
ra1l [238]

Answer:

Most likely wrong but i thinkkk C

Step-by-step explanation:

5 0
2 years ago
4. Simplify the expression:
Natalija [7]

Answer:

<h2>A. 2x² + 5x + 1</h2>

Step-by-step explanation:

7x^2-6+4x+7-5x^2+x\qquad\text{combine like terms}\\\\=(7x^2-5x^2)+(4x+x)+(-6+7)\\\\=2x^2+5x+1

3 0
3 years ago
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