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Slav-nsk [51]
3 years ago
8

Please help!!☺️☺️ Will mark brainilest!!

Mathematics
2 answers:
mezya [45]3 years ago
4 0

Answer:

C

Step-by-step explanation:

The graph of the absolute value function y = | x | has its vertex at the origin and has the shape V

The graph here is the absolute value translated vertically 3 units down, so

y = | x | - 3 → C

Mazyrski [523]3 years ago
3 0

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

c)  |x| - 3

»»————- ★ ————-««  

Here’s why:  

  • The graph given is an absolute value function. This eliminates options A and B, since they are not absolute value functions.  
  • The graph shows the parent function of f(x) = |x| that is shifted 3 units down. This can be written as f(x) = |x| - 3.

⸻⸻⸻⸻

Option C should be the correct answer.  

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

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The width of a rectangle is 9 in. shorter than its length. The area of the rectangle is 252 in². What is the length of the recta
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Answer:

the length of the rectangle is, 21 in.

Step-by-step explanation:

Area of the rectangle(A) is given by:

A=lw           .....[1]

where,

l is the length of the rectangle

w is the width of the rectangle.

As per the statement:

The width of a rectangle is 9 in. shorter than its length.

⇒w = l-9

It is also given that:

The area of the rectangle is 252 in².

⇒A = 252  in².

Substitute in [1] we have;

252 = l(l-9)

⇒252 = l^2-9l

⇒l^2-9l -252 = 0

Factorize this equation:

Split the middle term;

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⇒l(l-21)+12(l-21)=0

⇒(l-21)(l+12)=0

By zero product property we have;

l-21 =0 and l+12 =0

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Since, length cannot be in negative

⇒l = 21 in.

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Step-by-step explanation:

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