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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which description best describes the solution to the following system of equations y= -2x +3 y= -x + 1

marin [14]

For this case we have the following system of equations:
$y = -2x +3

y = -x + 1$
Equating the values of y we have:
$-2x +3 = -x + 1
$
From here, we can clear the value of x.
We have then:
$-2x + x = 1 - 3

-x = -2

x = 2$
Then, we look for the value of y.
For this, we substitute x in any of the equations:
$y = -x + 1

y = -2 + 1

y = -1$
Answer:
The ordered pair solution of the system of equations, is given by:
$(x, y) = (2, -1)$