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2 years ago

Without graphing, determine the range of the function f(x)=5|x-7|+2

Mathematics

1 answer:

Dvinal [7]2 years ago

7 0

The range of the function is y >= 2

<h3>How to determine the range of the function?</h3>

The equation of the function is given as:

f(x) = 5|x - 7| + 2

The above function is an absolute value function.

An absolute value function is represented as:

f(x) = a|x -h| + k

Where

Leading coefficient = a

Vertex = (h, k)

This means that

a = 5

(h, k) = (7, 2)

If a is positive, then the vertex is a minimum

This means that the vertex (7, 2) is a minimum

Remove the x value

y = 2

Express as a range

y >= 2

Hence, the range of the function is y >= 2

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Write the standard equation of the circle with the given center and passes through the given point. Center (7,-2); Point= (1,-6)

vodomira [7]

Answer:

(x - 7)² + (y + 2)² = (2√13)²

Step-by-step explanation:

We already know that the center is at (7, -2), but must find the radius. The radius is the distance between the points (7, -2) and (1, -6):

r = √ [6² + 4²] ) = √(36 + 16) = √52 = √4√13 = 2√13.

Then the desired equation is (x - 7)² + (y + 2)² = (2√13)²

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3 years ago

Sylvia plans to place 617 stamps in an album. Each page of the album holds 5 stamps. She uses division to find out how many full

bija089 [108]

Answer:

123 full pages

Step-by-step explanation:

Given

$Total\ Stamps = 617\ stamps$

$Each\ Page = 5\ stamps$

Required

Determine the number of full page

To do this, we simply divide the total stamps by stamps in each page;

$Pages = \frac{Total\ Stamps}{Each\ Page}$

$Pages = \frac{617}{5}$

$Pages = 123.4$

Then we record only the quotient

The quotient is the digits before the decimal

$Pages = 123$

<em>Hence, she has 123 full pages</em>

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3 years ago

Solve using square roots

blsea [12.9K]

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4 years ago

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3 years ago

Read 2 more answers

Use the following for long division x^2+3x+1sqrt 3x^4+7x^3+2x^2+13x+5

goldenfox [79]

In plain text, it is appropriate to express the division using a division bar (/) and parentheses around the numerator and denominator:
(3x^4 +7x^3 +2x^2 +13x +5)/(x^2 +3x +1)

It is best to reserve the square root symbol (√) for an actual square root.

Your quotient is
3x^2 -2x +5

8 0

3 years ago