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3 years ago

Write a quadratic equation to represent a function with the vertex (-4, 1)

Mathematics

1 answer:

pishuonlain [190]3 years ago

6 0

Answer:

y=a(x+4)^2 +1, for a real number a hat is different of 0.

Step-by-step explanation:

If we know only the vertex, there are many quandratic equations.

* Result: Vertex (m,n), the quadratic equation is y= a(x-m)^2 + n for a real number a that is different of 0.

Here, the vertex (-4,1), we have the equation: y=a(x+4)^2 +1, for a real number a hat is different of 0.

Hope you understand.

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Math question : 2x + 4 [2-(5x - 3)] use pemdas to solve it

EleoNora [17]

Answer:

Step-by-step explanation:

simply 69

4 0

3 years ago

Jenny & Natasha are working on a problem together: Solve x/3 + 8 = −2. Natasha thinks the first step is to multiply by 3. Je

ratelena [41]

The individual that is correct is Natasha. This is because the answer can be gotten using Natasha's method

The given equation is $\frac{x}{3} + 8 = -2$

Solving the equation using Natasha's method

the fist step is to multiply by 2

x + 24 = - 6

The second step is to combine and add similar terms

x = -24 - 6

x = -30

Second method of solving the equation

The equation the friends are trying to solve is $\frac{x}{3} + 8 = -2$

The first step is to combine similar terms

$\frac{x}{3}$ = - 8 - 2

The second step is to add similar terms together

$\frac{x}{3}$ = - 10

The third step is to multiply both sides of the equation by 3

x = (-10 x 3)

x = -30

A similar question was answered here: brainly.com/question/18613652?referrer=searchResults

5 0

2 years ago

Suppose that the distance, in miles, that people are willing to commute to work is an exponential random variable with a decay p

garik1379 [7]

Answer:

m = $\frac{1}{20}$
μ = 20
σ = 20

The probability that a person is willing to commute more than 25 miles is 0.2865.

Step-by-step explanation:

Exponential probability distribution is used to define the probability distribution of the amount of time until some specific event takes place.

A random variable X follows an exponential distribution with parameter m.

The decay parameter is, m.

The probability distribution function of an Exponential distribution is:

$f(x)=me^{-mx}\ ;\ m>0, x>0$

Given: The decay parameter is, $\frac{1}{20}$

X is defined as the distance people are willing to commute in miles.

The decay parameter is m = $\frac{1}{20}$ .
The mean of the distribution is: $\mu=\frac{1}{m}=\frac{1}{\frac{1}{20}}=20$ .
The standard deviation is: $\sigma=\sqrt{variance}= \sqrt{\frac{1}{(m)^{2}} } =\frac{1}{m} =\frac{1}{\frac{1}{20}} =20$

Compute the probability that a person is willing to commute more than 25 miles as follows:

$P(X>25)=\int\limits^{\infty}_{25} {\frac{1}{20} e^{-\frac{1}{20}x}} \, dx \\=\frac{1}{20}|20e^{-\frac{1}{20}x}|^{\infty}_{25}\\=|e^{-\frac{1}{20}x}|^{\infty}_{25}\\=e^{-\frac{1}{20}\times25}\\=0.2865$