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kow [346]
2 years ago
12

Determine whether a quadratic model exists for the set of values below. If​ so, write the model. f(0) = -4, f(3) = -19, f(-1) =

-11
Select the correct choice below​:

A) A quadratic model does exist. It is ​f(x)= ?
B) A quadratic model does not exist.
Mathematics
1 answer:
Vikentia [17]2 years ago
7 0

Answer:

  A) The model exists: f(x) = -3x^2 +4x -4

Step-by-step explanation:

A quadratic model will always exist for 3 given points, provided they are not on a line. In that case, a linear model is appropriate.

Here, the slope between -1 and 0 is positive, and the slope between 0 and 3 is negative. Thus, we know these points are not collinear, and a model must exist.

The model is most easily found using a quadratic regression tool. Such is shown in the attachment. It tells us that ...

  f(x) = -3x^2 +4x -4

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The elevation of city A is 72 feet above sea level; the elevation of City C is 24 feet above sea level. The elevation of city D
emmasim [6.3K]

Answer:

<h2> D=C/4</h2>

Step-by-step explanation:

Given that elevation of the cities are

A=72 feet

C=24 feet

D=1/4 of C

The expression for the elevation of city D is

D=C/4

substituting C=24 in the expression we have

D=24/4

D=6

The answer is positive because the elevation is above sea level

7 0
3 years ago
Consider the standard form equation 2x-Ry=30. What value of R causes the graph to have a y-intercept of 5?
DochEvi [55]

Answer:

R = 6

Step-by-step explanation:

Given the equation of the line is 2x - Ry = 30

We know that the equation of a line with a as x-intercept and b as y-intercept is \frac{x}{a} +\frac{y}{b} =1

Now convert the above given line to the standard form

Divide the line by 30 we get

\frac{2x}{30}-\frac{Ry}{30} =\frac{30}{30}

\frac{x}{15} -\frac{y}{\frac{30}{R} } =1

Here the y-intercept is 30/R

Given y-intercept = 5

\frac{30}{R} =5

R = 6

4 0
3 years ago
Sam earned $40 on his investment of $400. He earned 5% interest on his investment. How long did Sam leave his money in the bank?
gogolik [260]

Answer:

2yrs

Step-by-step explanation:

Given parameters:

Amount of interest earned  = $40

Principal  = $400

Interest rate  = 5%

Unknown:

Time taken for the money to be in bank = ?

Solution:

   The formula for interest is given as:

         I = \frac{PRT}{100}  

    Where I is the interest

              P is the principal

               R is the rate

               T is the time

    So;

    100I  = PRT

       T  = \frac{100I }{PR}   = \frac{100 x 40}{400 x 5}  = 2yrs

8 0
2 years ago
Find the value of each variable.<br> x = and y =
alex41 [277]

Answer:

x = 16

y = 16√3

Step-by-step explanation:

sin(30 degrees) = 1/2

x = 32/2 = 16

cos(30 degrees) = √3/2

y = 16√3

4 0
3 years ago
Read 2 more answers
Please help
Varvara68 [4.7K]

Answer:

$6 = cost of small box

$8 = cost of large box

Step-by-step explanation:

Let s = cost of small box

     l  = cost of large box

(1)    12s + 3l = 96            (2)     6s + 6l = 84

    Multiply by -2                    <u> -24s - 6l = -192</u>

                                                -18s   = - 108

                                                     s = $6 = cost of small box

      12(6) + 3l = 96

         72 + 3l = 96

                 3l = 24

                   l = $8 = cost of large box

7 0
2 years ago
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