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3 years ago

Determine whether the polynomial is a difference of squares and if it is, factor it.

1 answer:

8 0

Remember these three formulas (really, learn these by heart):

${(a + b)}^{2} = a^{2} + 2ab + b^{2}$

${(a - b)}^{2} = a^{2} - 2ab + b^{2}$

$(a + b)(a - b) = a^{2} - b^{2}$

The stated formula is a manifestation of the last of these three. So indeed,

$(y + 15)(y - 15) = y^{2} - 225$

You might be interested in

What is the cost of one cranberry and one banana nut muffin?

Bezzdna [24]

So for the cranberry muffin, for every 12 (a dozen) it's $3
Banana nut muffin: for every 12, it's $4.32
take the $3 and divide it by 12 which is $0.25 for every cranberry muffin
take $4.32 divide by 12 and you get $0.36 for every banana nut muffin
so $0.25 + $0.36 = $0.61
Therefore the answer is B

8 0

3 years ago

Read 2 more answers

What is the domain of the sine and cosine functions?

eimsori [14]

Answer:

domain of the sine and cosine functions is all real numbers

Step-by-step explanation:

range of both the sine and cosine functions is [−1,1]

graph can go left and right to infinity

graph goes up and down between 1 and -1

graph looks like a wave or

like U letters next to each other

UUUU

sine and cosine of an angle have the same absolute value as the sine and cosine of its reference angle.

mathlibretextsorg

8 0

2 years ago

Factor the trinomial completely <br><br> 3x^2-5x-2

nignag [31]

Answer:

(x − 2)×(3x+1)

Step-by-step explanation:

We can use this method:

$\begin{aligned}3 x^{2}-5 x-2 &=3 x^{2}-5 x-x+x-2 \\\\&=3 x^{2}-6 x+x-2 \\\\&=3 x \cdot(x-2)+(x-2) \\\\&=(x-2)(3 x+1)\end{aligned}$

All I did is Subtracting x then adding x which will not affect the result because -x + x = 0

8 0

2 years ago

Which spreadsheet would you use to compute the first seven terms of the arithmetic sequence: an = –6(n – 1) 22?

Greeley [361]

Here, just substitute the value of n = 7
an = -6(n-1)
an = -6(7-1)
an = -6(6)
an = -36

In short, Your Final Answer would be -36

Hope this helps!

6 0

3 years ago

A meteorologist recorded the temperature outside of his weather studio for two days. The first day the temperature was −3.1° Cel

Zigmanuir [339]

None of the options is less than both temperatures the meteorologist recorded

<h3>How to find the temperature that is less than both temperatures?</h3>

Since the first day the temperature was −3.1° Celsius. The second day the temperature was 1.2° Celsius.

For a temperature to be less than both temperatures, it has to be less than the lowest temperature which is −3.1° Celsius. Since −3.1° Celsius is less than 1.2° Celsius.

Now comparing both numbers with the the given options.

<h3>Option 1 : 5.1 °Celsius </h3>

We see that 5.1° Celsisus is greater than -3.1° Celsius.

So, this option is wrong

Option 2 : 5.5 degrees Celsius

We see that 5.5° Celsisus is greater than -3.1° Celsius.

So, this option is wrong

Option 3 : 0 °Celsius

We see that 0° Celsisus is greater than -3.1° Celsius.

So, this option is wrong

Option 4 : -2.9° Celsius

We see that -2.9° Celsisus is greater than -3.1° Celsius.

So, this option is wrong

So, none of the options is less than both temperatures the meteorologist recorded

Learn more about temperature scale here:

brainly.com/question/4309964

#SPJ1

4 0

1 year ago