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nordsb [41]
3 years ago
9

Given the function h(x) = x2 – 7x + 6, determine the average rate of change of

Mathematics
1 answer:
guapka [62]3 years ago
4 0

Step-by-step explanation:

the average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

so,

(h(7) - (h(3)) / (7 - 3)

h(7) = 7² - 7×7 + 6 = 49 - 49 + 6 = 6

h(3) = 3² - 7×3 + 6 = 9 - 21 + 6 = -6

7 - 3 = 4

(6 - -6)/4 = 12/4 = 3

the average change rate in that interval is 3 (or fully 3/1).

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Class a had a mean score of 7.8 and a standard deviation of 1 class b had a mean score of 8.1 and a standard deviation of 0.2 wh
Karo-lina-s [1.5K]

Class 2 scored better on average

<h3>How to determine which class scored better on average?</h3>

The averages and the standard deviations are given as:

Class 1

Mean score = 7.8

Standard deviation = 1

Class 2

Mean score = 8.1

Standard deviation = 0.2

As a general rule, the smaller the standard deviation; the better the average

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6 0
1 year ago
Find the center, vertices, and foci for the ellipse 25x^2+64y^2=1600
Ronch [10]

Answer:

Step-by-step explanation:

Answer:

Data

Equation               25x² + 64y² = 1600

Process

1.- Divide all the equation by 1600

                            25x²/1600 + 64y²/ 1600 = 1600/1600

-Simplify

                             x²/64 + y²/ 25 = 1

2.- Equation of a horizontal ellipse

                            

3.- Find a, b and c

   a² = 64             a = 8

   b² = 25             b = 5

-Calculate c with the Pythagorean theorem

                  a² = b² + c²

-Solve for c

                  c² = a² - b²

-Substitution

                  c² = 8² - 5²

-Simplification

                 c² = 64 - 25

                 c² = 39

-Result

                 c = √13

4.- Find the center

         C = (0, 0)

5.- Find the vertices

         V1 = (-8, 0)     V2 = (8, 0)

6.- Find the foci

         F1 = (-√13, 0)   F2 = (√13, 0)

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3 years ago
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tiny-mole [99]

Answer:

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Step-by-step explanation:

Google said that three out of four people wear corrective lenses which is also 75%. So whats 75% out of 320 million? <u>Half of 320 million is 160 million</u>. <u>Half of 160 million is 80 million, 160 million plus 80 million is </u><u>240 million.</u>

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Scott will need 3 more to meet his goal

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Jesse has a 13.47-ounce bar of gold. He cuts 1.55 ounces off to make a piece of jewelry. How much gold is left in the bar?
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