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Setler [38]
3 years ago
13

The graph of f(x) = x2 has been shifted into the form f(x) = (x − h)2 + k: a parabola with a vertex of 3, 3 What is the value of

h?
Mathematics
1 answer:
KATRIN_1 [288]3 years ago
3 0
If we write y=f(x)=(x-h)²+k, then y-k=(x-h)². This is vertex form where the vertex is (h,k)=(3,3) so h and k are both 3. We can see this if we put x=3 in the shifted function. This is a minimum point for the function because for every other x f(x) is greater then 3. The minimum point is the vertex.
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The table shows the temperature of an amount of water set on a stove to boil, recorded every half minute. a 2-row table with 10
olga nikolaevna [1]

According to the line of best fit, the value of time when the temperature reach 100°c, the boiling point of water is 5.

<h3>What is linear regression?</h3>

Linear regression is a type of regression which is used to model the statement in which the growth or decay initially with constant rate, and then slow down with respect to time.

The table shows the temperature of an amount of water set on a stove to boil, recorded every half minute. a 2-row table with 10 columns.

  • Time (minutes X)                 0, 0.5,1.0, 1.5, 2.0,2.5,3.0, 3.5, 4,  4.5.
  • Temperature (° Celsius Y)  75, 79, 83, 86, 89, 91, 93,  94, 95, 95.5.

The sum of time is 22.5 and the sum of temperature value is 880.5. In this table,

  • The mean of time value, 2.25.
  • The mean of temperature value 88.05
  • Sum of squares 20.625
  • Sum of products 93.625

The regression equation for this data can be given as,

\hat y=4.53939 X+77.83636

Put the value of temperature (y) 100 in this equation.

100=4.53939 X+77.83636\\X=\dfrac{100-77.83636}{4.53939}\\X\approx 5

Hence, according to the line of best fit, the value of time when the temperature reach 100°c, the boiling point of water is 5.

Learn more about the regression here;

brainly.com/question/25226042

4 0
2 years ago
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Kryger [21]

Answer:

W number - blank is 51.

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I don't understand what the question is. What is the number unless you want something random then here:

Blank - 52

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kirill115 [55]

Answer:

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Here, the arc length is s = (4 in)(3 radians) = 12 in

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3 years ago
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