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butalik [34]
3 years ago
12

Which of the following must be true for and expression to be a difference of two squares?

Mathematics
2 answers:
Rudik [331]3 years ago
5 0
<span>Let's say e=a^2−b^2 and take each affirmation:

a. </span><span>both coefficients are perfect squares.
</span><span>a could be equal to 2 which is not a perfect square 

b. </span><span>there are only two terms - obviously yes
</span><span>
c. </span>both terms have negative coefficients - as we can see just b has a negative <span>coefficient

Final answer b. </span><span>there are only two terms.</span>
<span>

</span>
Soloha48 [4]3 years ago
3 0

The <em><u>correct answers</u></em> are:

a. both coefficients are perfect squares.; and b. there are only two terms.

Explanation:

In order to have a difference of squares, we will have only two terms.  Algebraically, this can be represented by a²-b².  This is by definition.

Since this is the difference of <em>squares</em>, both terms must be perfect squares.  If they are not, then it is no longer the difference of squares.

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Please help |x+10| , if x=−12
Pani-rosa [81]

Answer:

2

Step-by-step explanation:

All you do is substitute x.

Add.

|-12 + 10|

Find the absolute value of |-2|.

|-2|

2

4 0
3 years ago
Can someone explain this, please?
Lostsunrise [7]
If you notice the terms, they're

7, -21, 63, -189 and so forth.

7*-3 = -21  and -21 * -3 is 63 and so forth, meaning the "common ratio" is -3.

now, for a common ratio say "r", which is a fraction, namely less than ±1 and more than 0, or |r| < 1 ,  you do have a convergent sequence.

however this one notice, |-3| is 3, and that's greater than 1 clearly, therefore is divergent, meaning the summation has no finite value.
6 0
3 years ago
Simplified form of the expression (x^3+3x^2+6)-(9x^2-5x+7)
JulijaS [17]

(x^3 + 3x^2 + 6) - (9x^2 - 5x + 7)\\\\x^3 + 3x^2 + 6 - 9x^2 + 5x - 7\\x^3 - 6x^2 + 5x  -1


8 0
3 years ago
A car rental agency rents 190 cars per day at a rate of 29 dollars per day. for each 1 dollar increase in the daily rate, 5 fewe
Leviafan [203]

The equation that we can create from this situation is:

i = (190 – 5 x) * (29 + x)

where i is the income and x is the increase in daily rate

Expanding the equation:

i = 5510 + 190x – 145x - 5x^2

i = -5x^2 + 45x + 5510

Taking the 1st derivative:

di/dx = -10x +45

Set to zero to get the maxima:

-10x + 45 = 0

x = 4.5

 

So the cars should be rented at:

29 + x = 33.5 dollars per day

 

The maximum income is:

i = (190 – 5*4.5) * (33.5)

i = 5,611.25 dollars

7 0
3 years ago
A family is staying in a hotel for 2 nights. The hotel costs $91.35 a night. About how much will they pay for the hotel?
statuscvo [17]
All we need to do to find the correct answer is to double the prize for a night. I'll "cut" it into pieces so you can see exactly how I calculated it:

$91.35 * 2 =
= $90.00 * 2 + $1.00 * 2 + $0.35 * 2 =
= $180.00 + $2.00 + $0.70 =
= <u>$182.70</u>

Answer: They will pay $182.70 for two nights at the hotel.
7 0
3 years ago
Read 2 more answers
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