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Bond [772]
1 year ago
11

Domain and range of linear and quadratic functions worksheet

Mathematics
1 answer:
Vlad [161]1 year ago
7 0

If the value of a is negative, then the range will be (-∞, k) and if the value of the a is positive then the range will be (k, ∞).

<h3>What is a quadratic equation?</h3>

It's a polynomial with a worth of nothing.

There exist polynomials of variable power 2, 1, and 0 terms.

A quadratic condition is a condition with one explanation where the degree of the equation is 2.

Domain and range of linear and quadratic functions

Let the linear equation be y = mx + c.

Then the domain and the range of the linear function are always real.

Let the quadratic equation will be in vertex form.

y = a(x - h)² + k

Then the domain of the quadratic function will be real.

If the value of a is negative, then the range will be (-∞, k) and if the value of the a is positive then the range will be (k, ∞).

More about the quadratic equation link is given below.

brainly.com/question/2263981

#SPJ4

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Answer:

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Step-by-step explanation:

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3 0
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kirza4 [7]

Answer:

a

   P(X <  24 )=  21.186\%  

b

    x =  19.78 \  months

Step-by-step explanation:

From the question we are told that

 The mean is   \mu  =  26 \  months

 The standard deviation is  \sigma  =  4 \  months

 Generally 2 year is  equal to  24 months

Generally the percentage of total production will the company expect to replace is mathematically represented as

      P(X <  24 )=  P(\frac{X - \mu }{ \sigma} <  \frac{24 - 26}{4}  )

Generally  \frac{X - \mu}{\sigma } =Z (The  \ standardized \  value  \  of  \  X )

     P(X <  24 )=  P(Z <  -0.8  )

Generally from the z-table  

       P(Z <  -0.8) =  0.21186

So

       P(X <  24 )=  0.21186

Converting to percentage

      P(X <  24 )=  0.21186  * 100

=>    P(X <  24 )=  21.186\%  

Generally the duration that should be the guarantee period if  Accrotime does not want to make refunds on more than 6% is mathematically evaluated as

    P(X <  x) =  P(\frac{X - \mu }{\sigma}  < \frac{x - 26}{4} )= 0.06

=> P(X <  x) =  P(Z < \frac{x - 26}{4} )= 0.06

From the normal distribution table the z-score for  0.06 at the lower tail  is

       z = -1.555

So

    \frac{x - 26}{4} = -1.555

=> x =  19.78 \  months  

7 0
3 years ago
The line representing a proportional relationship always goes through the point (0,0). If x is zero, multiplying x by the consta
Sidana [21]

Answer:

B (2, 4)

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem the constant of proportionality k is given and is equal to

k=2

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The linear equation is given by

y=2x

That means ----> the y-coordinate is two times the x-coordinate

therefore

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Because

For x=2, y=4

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3 years ago
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lisabon 2012 [21]

Answer:

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Step-by-step explanation:

Please vote for Brainliest and hope this helps!

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Sandwich cost $7.70 and the soda costs $2.20.
8 0
3 years ago
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