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uysha [10]
4 years ago
12

Can the polynomial below be factored into a perfect square? If not, select the answer that best describes why not.

Mathematics
2 answers:
zaharov [31]4 years ago
8 0
Option B;
A suitable x-coefficient for a quadratic function that factors into a perfect square has to be even.
Nonamiya [84]4 years ago
6 0

Answer:

Option B is correct.

Step-by-step explanation:

We will work with the formula : (a+b)^{2}

= a^{2}+2ab+b^{2}

Given polynomial is :

64x^{2} +49x+8

here a = \sqrt{64x^{2} } =8x

b = \sqrt{8}= 2\sqrt{2}

2ab = 2*8x*2\sqrt{2} =32\sqrt{2}x

Now, we can see that the middle term should be 32\sqrt{2} x but in the question, it is given 49x

So, option B is true that - The x^2 coefficient does permit the factoring, but the x coefficient does not permit the factoring.

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Given the diagram below find the value of x if the area is 21 aquare meters
Oksanka [162]

Answer:

The answer is <u><em>7</em></u>!

Step-by-step explanation:

(x-4) (x) = 21, x^2 - 4x = 21, x^2 - 4x - 21 = 0, (x - 7) (x + 3) = 0, x = 7 and -3; x can't be negative so the answer is 7!

x = 7 and x - 4 (other side) = 3

5 0
3 years ago
184500 $ are to be divided between 2 people. One person has 80% of what the other person has. How much does each one receive in
Annette [7]

Given:

$184500 are to be divided between 2 people.

One person has 80% of what the other person has.

To find:

The amount each one receive in $.

Solution:

Let $x be the amount received by first person. Then,

Amount received by the second person = 80% of x

                                                                   = 0.80x

Total amount = Amount received by first person + by second person

                      =x+0.80x

                      =1.80x

Total amount is 184500. So,

1.80x=184500

x=\dfrac{184500}{1.80}

x=102500

So, the amount received by the first person is $102,500.

0.80x=0.80\times 102500

0.80x=82000

So, the amount received by the second person is $82,000.

6 0
3 years ago
How would the graph of the function y=x^2-3 be affected if the function were changed to y=x^2+2?
Norma-Jean [14]

Answer: The graph of the function would move five units up on the vertical axis.

Step-by-step explanation:

3 0
3 years ago
What is the surface area for this?
DanielleElmas [232]

It is 6 sq. units. I hope you do well. Have a wonderful day.

6 0
3 years ago
The price of a technology stock has risen $9.65 today. Yesterday’s price was $9.58 find the percentage increase round your answe
bezimeni [28]

1% (I'm pretty sure)

Step-by-step explanation:

you would do 9.65 ÷ 9.58 to to get 1.0073 and rounding it would give you 1

3 0
3 years ago
Read 2 more answers
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