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3 years ago

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What is the average rate of change of the function on the interval from x = 1 to x = 2?

2 answers:

miskamm [114]3 years ago

5 0

<span>The average rate of change is 247.5. The average rate of change of a function f(x) over the interval x1 to x2 is given by AROC=(f(x2)-f(x1))/(x2-x1). In this case, x1=1 and x2=2. f(1) = 55 and f(2)=302.5. This the average rate of change is given by (302.5-55)/(2-1). When we simplify this, we get that the average rate of change in 247.5.</span>

Elis [28]3 years ago

5 0

I know you asked two weeks ago and maybe you can come back on to give confirm answer.

I believe the answer is 302.5.

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The roots of a quadratic equation ax2+bx+c=0 are 3+sqrt2 and 3−sqrt2. Find the values of b and c assuming that a=1.

slamgirl [31]

Answer:

$b=-6\\c=7$

Step-by-step explanation:

we know that

The general equation of a quadratic function in factored form is equal to

$y=a(x-x_1)(x-x_2)$

where

a is a coefficient of the leading term

x_1 and x_2 are the roots

we have

$a=1\\x_1=3+\sqrt{2}\\x_2=3-\sqrt{2}$

substitute

$y=(1)(x-(3+\sqrt{2}))(x-(3-\sqrt{2}))$

Applying the distributive property convert to expanded form

$y=x^2-x(3-\sqrt{2})-x(3+\sqrt{2})+(3+\sqrt{2})(3-\sqrt{2})$

$y=x^2-(3x-x\sqrt{2})-(3x+x\sqrt{2})+(9-2)$

$y=x^2-3x+x\sqrt{2}-3x-x\sqrt{2}+7$

$y=x^2-6x+7$

therefore

$b=-6\\c=7$

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2 years ago

Which relationship has a zero slope

vesna_86 [32]

Answer:

The first table.

Step-by-step explanation:

A slope of 0 means that as x increases, y stays the same. In the first table, all of our y-values are 2; this means that y stays constant.

To prove it, we use our formula for slope:

$m=\frac{y_2-y_1}{x_2-x_1}$

The slope of the line between the first two points is

(2-2)/(-3--1) = 0/-2 = 0

The slope of the line between the second pair of points is

(2-2)/(-1-1) = 0/-2 = 0

The slope of the line between the next pair of points is

(2-2)/(1-3) = 0/-2 = 0

Since the slope between each pair of points is 0, the slope of the entire line is 0.

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Step-by-step explanation:

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3 years ago

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olasank [31]

Answer:

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Step-by-step explanation:

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3 years ago

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postnew [5]

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3 years ago

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