Answer:
y + 3 = 1/2(x + 3)
Step-by-step explanation:
Point Slope Form: y - y1(y coordinate) = m(slope)(x - x1(x coordinate))
The hours it would take to type 3.2 x 10^5 words is 1.33 x 10^2 hours.
<h3>How many hours would it take to
type 3.2 x 10^5 words?</h3>
Standard form is used in expressing large numbers in smaller numbers. It is used to transform large numbers into smaller number.
In order to write a number in standard form, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.
For example: 1 x 10² is equivalent to 100
The first step is to determine how many words he can type in 1 hour : 40 x 60 = 2400 words = 2.4 x 10³
The second step is to divide 3.2 x 10^5 words by 2.4 x 10³
3.2 x 10^5 ÷ 2.4 x 10³ = 1.33 x 10^(5 - 3)
1.33 x 10^2 hours
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Answer:
Step-by-step explanation:
two semicircles each of diameter 8 inches makes one circle with diameter=8 in.
radius r=8/2=4 in.
area of shaded region= πr^2=π×4²=16 π in²
≈16×3.14
≈50.24
≈50.2 in²
The two equations would yield no solution if they are dependent. That means that both equations are equivalent. You can determine this by manipulating the equations through simplification. For example, a dependent equation would be:
3x - 4y = 2
3x/2 - 2y = 1
Another dependent equation is when you multiply the whole equation with a number, say 3.
(3x - 4y = 2)3
9x - 12y = 6
The inverse of the given function 3x - 12 is determined as f⁻¹(x) = x/3 + 4.
<h3>
What is inverse of a function?</h3>
An inverse of a function is a function that serves to replace another function.
That is, if f(x) produces y, then putting y into the inverse of f produces the 0ut-put x .
Thus, an inverse function or an anti function is defined as a function, which can reverse into another function.
The inverse of the given function; f(x)= 3x − 12 is calculated as follows;
y = 3x - 12
replace y with x and x with y as shown below;
x = 3y - 12
now, solve for y
x + 12 = 3y
divide both sides of the equation by 3
x/3 + 12/3 = 3y/3
x/3 + 4 = y
f⁻¹(x) = x/3 + 4
Thus, the inverse of the given function 3x - 12 is determined as f⁻¹(x) = x/3 + 4.
Learn more about inverse of a function here: brainly.com/question/3831584
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The complete question is written below:
find the inverse of the function, f(x) = 3x - 12
