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3 years ago

7

The distance (in miles) traveled by a cyclist is given by d(t) = 5t, where t is the time in seconds. The domain of the function

includes
a- all real numbers that are perfect squares
b- all positive real numbers and zero
c- all real numbers other than 5
d- all real numbers

2 answers:

Ivahew [28]3 years ago

5 0

Answer: option b - all positive real numbers and zero.

The only restriction is that the time cannot be negative (and of course, it has to be a real number, not imaginary).

ASHA 777 [7]3 years ago

4 0

Answer:

b. All positive real numbers and zero

Step-by-step explanation:

We are given that the distance traveled by a cyclist is given by

$d(t)=5t$

Where t=Time in seconds

We have to find the domain of the function .

We know that distance is always positive.

Given function is linear function .

We know that domain of linear function is set of all real numbers.

But t is time and t is always positive.

Therefore, domain of function includes all positive real numbers and zero.

Answer: b. All positive real numbers and zero.

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3 years ago

Find the slope of the line on the graph. Write your answer as a fraction or a whole number, not mixed number or decimal.

Vesna [10]

Answer:

<em>The slope is:</em>

$m=-\frac{3}{2}$

Step-by-step explanation:

The slope m of a line is calculated using the following formula

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3 years ago

6-√8 divide √2-1

agasfer [191]

Answer:

4 $\sqrt{2}$ +2

Step-by-step explanation:

$\frac{6-\sqrt{8}}{\sqrt{2}-1}$

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= $\frac{(6-\sqrt{8})(\sqrt{2}+1)}{2-1}$

=6 $\sqrt{2}$ + 6 - $\sqrt{8}\sqrt{2}$ - $\sqrt{8}$

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=6 $\sqrt{2}$ + 2 - $\sqrt{8}$

=6 $\sqrt{2}$ + 2 - 2

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for $\sqrt{8}$ = 2 $\sqrt{2}$ ,

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3 years ago

In 1980, the median age of the U.S. population was 30.0; in 2000, the median age was 35.3.

miss Akunina [59]

Answer:

y = 0.265x - 494.7

Step-by-step explanation:

Let median age be represent by 'a' and time be represent by 't'

In 1980, median age is given 30

which means that

a₁ = 30

t₁ = 1980

In 2000, the median age is given 35.3

which means that.

a₂ = 35.3

t₂ = 2000

The slope 'm' of the linear equation can be found by:

m = (a₂ - a₁) /(t₂ - t₁)

m = (35.3 - 30)/(2000-1980)

m = 0.265

General form of linear equation is given by:

y = mx + c

y = 0.265x +c

Substitute point (1980,30) in the equation.

30 = 0.265(1980) + c

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y = mx + c

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4 0

3 years ago

Through: (-3,0), perp. to y = 3x - 1

Marrrta [24]

Answer:

$y=-\dfrac{1}{3}x-1$

Step-by-step explanation:

<u>Given: </u>

line y=3x-1

point (-3,0)

<u>Write:</u> equation of the line that is perpendicular to the given and passes through the point (-3,0)

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The slope of the given line is $m=3$

If $m_1$ is the slope of perpendicular line, then

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So, the equation of the needed line is $y=-\dfrac{1}{3}x+b.$

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