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Aleksandr-060686 [28]
3 years ago
6

Why is the answer A? Plzzz explain.

Mathematics
1 answer:
Contact [7]3 years ago
8 0

Answer:


Step-by-step explanation:

f(x) = x^2 + 4x + 4

f(x + a) = (x + a)^2 + 4(x + a) + 4

f(x + a) = x^2 + 2ax + a^2 + 4x + 4a + 4   Now combine like terms and use the distributive property.

f(x + a) = x^2 + (2a + 4)x + a^2 + 4a + 4

We are told that f(x + a) = x^2 - 6x + 9

So that means that

2a + 4 = - 6      Subtract 4 from both sides.

2a = - 6 - 4

2a = - 10          Divide by 2

a = - 10/2

a = - 5.            

But you are not finished. You have to check the last part.

a^2 + 4x + 4 = 9

(a + 2)^2 = 9

Take the square root of both sides

sqrt(a+ 2)^2 = +/- 3

a+2 = 3

a = 1.

Does this work or is it extraneous? It is extraneous because it will not work for  2(a) + 4 = - 6  

You get 6 = - 6 which is not correct. But you did give the second best answer.

a + 2 = - 3

a = - 3 - 2

a = - 5 which agrees with your previous answer.

===========

This is an extremely hard or tricky or sneaky problem. It takes a lot of conniving to get the right answer and 1 is not a left field answer. It just does not happen to be correct.

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Answer:

Step-by-step explanation:

A. The first inequality is graphed as a shaded area below the solid line with x-and y-intercepts of 7.5 and 5, respectively. The second inequality is graphed as a shaded area above the solid line with x- and y-intercepts of 3.

The solution set is the set of integer-valued grid points one or between the lines.

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B. The point (5, 1) is included in the solution area. Mathematically, it can be shown to satisfy the two inequalities:

  2(5) +3(1) ≤ 15   ⇒   13 ≤ 15   True

  (5) +(1) ≥ 3   ⇒   6 ≥ 3   True

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C. The point (5, 1) is in the solution set. It means Michael can purchase 5 sandwiches and 1 hot lunch within his budget constraints. That will provide 6 meals, which is more than the minimum of 3 that he wants to provide.

8 0
3 years ago
The price of a shirt is 18.50, but you have a coupon that lowers the price by 20%. What is the price of the shirt after using th
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SpyIntel [72]
Y=3x-5

Y=5/4x+3/4

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Mr. Alvarez has 36 kids in his 7th period class The ratio of boys to girls is 5:7. How many boys are there? How many girls are t
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4 0
3 years ago
Is 4/5 equal to 5/10?
vfiekz [6]
No, 4/5 does not equal to 5/10.

Because:- When you try to see if it is proportional, it does not equal it.

4/5 ≠ 5/10

Simplify to make sure.

4/5 ≠ 1/2

4/5 is NOT equal to 1/2.

Therefore, our final answer is that 4/5 does not equal 5/10.
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3 years ago
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