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3 years ago

What is the average rate of change for this exponential function for the interval from x = 2 to x = 4?

Mathematics

1 answer:

Hunter-Best [27]3 years ago

8 0

Answer:

The average rate of change over the interval is 120

Step-by-step explanation:

For a function f(x) the average rate of change over an interval [a,b] is given as;

f(b)-f(a)/b-a

in this case, a is 2 and b is 4

f(b) is 256 and f(a) is 16

Substituting these values in the equation for rate of change, we have;

(256-16)/(4-2) = 240/2 = 120

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What type (irrational, Rational, whole, natural, integer) of numbers are these?

laiz [17]

Answer:

See Below

Step-by-step explanation:

1) Rational AND Integer

2) Irrational

3) Whole Number

4) Natural Number

Hope this helps!

5 0

3 years ago

Select the correct answer.

Marina CMI [18]

The concept of historical cost in accounting involves valuing business resources at their purchase price. This is further explained below.

<h3>What is the historical cost?</h3>

Generally, historical cost is a value of measure used in accounting that records the value of an asset on the balance sheet at its original cost when purchased by the firm.

In conclusion, valuing business resources at their purchase price is what historical cost is about.

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5 0

2 years ago

Read 2 more answers

Write the equation of a parabola having the vertex (1, −2) and containing the point (3, 6) in vertex form. Then, rewrite the equ

In-s [12.5K]

PART A

The equation of the parabola in vertex form is given by the formula,

$y - k = a {(x - h)}^{2}$

where

$(h,k)=(1,-2)$

is the vertex of the parabola.

We substitute these values to obtain,

$y + 2 = a {(x - 1)}^{2}$

The point, (3,6) lies on the parabola.

It must therefore satisfy its equation.

$6 + 2 = a {(3 - 1)}^{2}$

$8= a {(2)}^{2}$

$8=4a$

$a = 2$
Hence the equation of the parabola in vertex form is

$y + 2 = 2 {(x - 1)}^{2}$

PART B

To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

$y + 2 = 2{(x - 1)}^{2}$

This implies that

$y + 2 = 2(x - 1)(x - 1)$

We expand to obtain,

$y + 2 = 2( {x}^{2} - 2x + 1)$

This will give us,

$y + 2 = 2 {x}^{2} - 4x + 2$

$y = {x}^{2} - 4x$

This equation is now in the form,

$y = a {x}^{2} + bx + c$
where

$a=1,b=-4,c=0$

This is the standard form

7 0

3 years ago

Rewrite the following expression using base only once 7^6 x 7^8

chubhunter [2.5K]

Answer:

$7^{14}$