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gladu [14]
3 years ago
15

What is the solution of |x-4| < 13

Mathematics
1 answer:
Mashcka [7]3 years ago
3 0

Answer:

- 9 < x < 17

Step-by-step explanation:

An inequality of the type | x | < a , always have a solution of the form

- a < x < a

This can be extended to include expressions in the absolute value, that is

- 13 < x - 4 < 13 ( add 4 to each of the 3 intervals )

- 9 < x > 17

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Lamar wants to replace a glass window in his restaurant. The window is in the shape of a square. Its side lengths are 11 feet. S
Over [174]

Answer:

55

55x11 = 55

(Meeting character limit)

7 0
3 years ago
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The volume of the box shown in the diagram is 40π3 cubic units. Find the length of ‘x’.
Nimfa-mama [501]

Answer:

4: 4\pi^2

Step-by-step explanation:

2\pi x 5 x x = 10\pi x

10\pi x = 40\pi ^3}

x = 4\pi^2

7 0
3 years ago
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17. The weight of one serving of Hot Cheetos is 1.5 ounces. How many servings are
steposvetlana [31]

Answer:

1 oz.

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Step-by-step explanation:

8 0
3 years ago
Which function has an inverse that is also a function? g(x) = 2x – 3 k(x) = –9x2 f(x) = |x 2| w(x) = –20.
blondinia [14]

The function has an inverse that is also a function is g(x) = 2x – 3.

The correct option is A.

<h3>Inverse function;</h3>

The inverse of a function is the equation where x and y have switched places.

We have to determine

Which function has an inverse that is also a function?

If when you solve for y again, the function passes the vertical line test, the inverse if a function.

1. Here g(x) = 2x - 3 has inverse x = 2y - 3 which simplifies to;

\rm y=\dfrac{(x-3)}{2}

This is a line and is a function;

\rm y=\dfrac{1}{2}x-\dfrac{3}{2}

2. k(x) = -9x^2 has the inverse x = -9y^2 which simplifies to;

\rm y=\sqrt{\dfrac{x}{-9}}

This is a function but only for certain values of x.

3. f(x) = |x+2| is an absolute value function.

All absolute value functions do not have inverses which are functions.

4. w(x) = -20 does not have an inverse which is a function.

Hence, the function has an inverse that is also a function is g(x) = 2x – 3.

To know more about inverse function click the link given below.

brainly.com/question/20663378

5 0
3 years ago
Simplify 5/4+4/1(3/4-1/2)^2
Olegator [25]
You have to start within the parenthesis. To subtract fractions you need a common denominator. You'll get (3/4 - 2/4) Subtract them (1/4)and square both the top and bottom. (1/16) After that multiply by the 4. The number next to the parenthesis.(4/16 = 1/4) After that you add 5/4 to 1/4  and you'll get 6/4 which reduces to 3/2. That is the answer 
6 0
3 years ago
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