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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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Henry located 2 1/4 and 2.1 on a number line. He wrote the following related story:
Rzqust [24]

Answer:

Jerry ran a farther distance and not Henry.

Step-by-step explanation:

We are given the following information in the question:

Jerry rain 2\frac{1}{2} miles and Henry ran 2.1 miles.

Henry claimed that he ran a farther distance.

This is a wrong claim because when we compare:

2\frac{1}{2} and 2.1

2\displaystyle\frac{1}{2} = \displaystyle\frac{5}{2} = 2 + 0.5 = 2.5\\\\2.5 > 2.1

Hence, Jerry ran a farther distance and not Henry.

Henry may have made some mistake in plotting   2\frac{1}{2} and 2.1 on the number line.

4 0
3 years ago
Need help fast!!!!!!
Alex17521 [72]

Answer:

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Step-by-step explanation:


7 0
3 years ago
5 × (2 + 1)2 ÷ 3 = what's the answer I wrote this cus it said it was to short to post
shepuryov [24]

Answer:

10

Step-by-step explanation:

Follow PEMDAS

5 (2+1) x 2 divided by 3

calculate within parenthesis

(2+1) : 3

5 x 3 x 2 divided by 3

multiply and divide (left to right)

= 10

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8 0
3 years ago
The probability that a mature hen will lay an egg on a given day is 0.80. Hannah has 12 hens. What is the probability that 10 of
OleMash [197]

Answer: 0.28

Step-by-step explanation:

Binomial probability formula :

P(X=x)=\ ^nC_xp^x(1-p)^x , where  x = Number of success , n= sample size , p= probability of success for each trial.

Let x = Number of hens lay eggs.

then, p=  0.80

n= 12

For x=10

P(x=10)=\ ^{12}C_{10}(0.80)^{10}(0.20)^{2}\\\\=\dfrac{12!}{10!2!}\times 0.1073741824\times 0.04\\\\\approx0.28

Hence, the required probability = 0.28

3 0
2 years ago
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True or False: The FOIL method is an example of the distributive<br> property.
vova2212 [387]

Answer:

True

Step-by-step explanation:

7 0
3 years ago
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