Answer:
The product of 8x(5x−6) is 40x^2−48x
The product of (x−3)(5x−6) is 5x^2−21x+18
Step-by-step explanation:
<u><em>Verify each option</em></u>
Part 1) The product of 8x(5x−6) is 40x^2−48x
we have
Applying distributive property
Compare with the given value
therefore
The statement is true
Part 2) The product of −4x(2x2+1) is −8x^3−5x
we have
Applying distributive property
Compare with the given value
therefore
The statement is not true
Part 3) The product of (x−3)(5x−6) is 5x^2−21x+18
we have
Applying distributive property
Compare with the given value
therefore
The statement is true
Part 4) The product of (2x+3)(x^2+3x−5) is 2x^3+9x^2+9x−25
we have
Applying distributive property
Compare with the given value
therefore
The statement is not true
Answer: Barbara did not include a variable in the term 
, which must represents the number of bottles of iced tea she needs to sell.
Step-by-step explanation:
Let be "x" the number of bottle of water Barbara needs to sell and "y" the number of bottle of iced tea she needs to sell.
She sells iced tea for $1.49 per bottle and water for $1.25 per bottle, so she can write the following equation in order to calculate the number of bottles she needs to sell to earn $100:
Since Barbara wrote this equation:
We can conclude that the error Barbara made in writing the equation was: She did not include a variable in the term , which must represents the number of bottles of iced tea she needs to sell.
An example should make this clear.
If $50 is 40% what is the value of the whole amount?
Answer:- Whole amount = 100^%
By proportion this = (100/ 40) * 50
= 2.5 * 50
= $125 (answer)
Fermat's little theorem states that
≡a mod p
If we divide both sides by a, then
≡1 mod p
=>
≡1 mod 17
≡1 mod 17
Rewrite
mod 17 as
mod 17
and apply Fermat's little theorem
mod 17
=>
mod 17
So we conclude that
≡1 mod 17
Considering that the sine is negative and that the cosine is positive, the angle is on the fourth quadrant, hence option C is correct.
<h3>What are the signs of the sine and of the cosine in each quadrant?</h3>
- Quadrant 1: Both positive.
- Quadrant 2: Sine positive, cosine negative.
- Quadrant 3: Both negative.
- Quadrant 4: Sine negative, cosine positive.
Hence, since the sine is negative and that the cosine is positive, the angle is on the fourth quadrant, hence option C is correct.
More can be learned about quadrants at brainly.com/question/28021191
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