(a).
The product of two binomials is sometimes called FOIL.
It stands for ...
the product of the First terms (3j x 3j)
plus
the product of the Outside terms (3j x 5)
plus
the product of the Inside terms (-5 x 3j)
plus
the product of the Last terms (-5 x 5)
FOIL works for multiplying ANY two binomials (quantities with 2 terms).
Here's another tool that you can use for this particular problem (a).
It'll also be helpful when you get to part-c .
Notice that the terms are the same in both quantities ... 3j and 5 .
The only difference is they're added in the first one, and subtracted
in the other one.
Whenever you have
(the sum of two things) x (the difference of the same things)
the product is going to be
(the first thing)² minus (the second thing)² .
So in (a), that'll be (3j)² - (5)² = 9j² - 25 .
You could find the product with FOIL, or with this easier tool.
______________________________
(b).
This is the square of a binomial ... multiplying it by itself. So it's
another product of 2 binomials, that both happen to be the same:
(4h + 5) x (4h + 5) .
You can do the product with FOIL, or use another little tool:
The square of a binomial (4h + 5)² is ...
the square of the first term (4h)²
plus
the square of the last term (5)²
plus
double the product of the terms 2 · (4h · 5)
________________________________
(c).
Use the tool I gave you in part-a . . . twice .
The product of the first 2 binomials is (g² - 4) .
The product of the last 2 binomials is also (g² - 4) .
Now you can multiply these with FOIL,
or use the squaring tool I gave you in part-b .
Answer:
YES
Step-by-step explanation:
Why is the classmate correct?
The reason why the classmate is correct is that everything can turn 360 degrees. This means that a square, has to turn 360 degrees, and it does that by doing 90x4. This means that it has 90-degree angles, which turn 4 times. And that makes 360. That's how this is also correct. Because this classmate turned a figure 270 degrees clockwise, and also, 360-270=90, which means that turning that figure 90 degrees counter-clockwise will make it in that same position.
To check whether this is right or not, take an object, probably like a book. Then turn it 90 degrees to counter-clockwise, and note down the position, that the front of the book is now facing left, and the back of the book is now facing right. Then, turn it back to normal position, (back of the book facing you), then, turn it 3 times 90 degrees towards Clockwise, in that way, you can see, that the book turns in the same way it did when you did 90 degrees counter-clockwise!
<h2>
I checked this, it's 176 words long.</h2>
Thanks!
Answered by: FieryAnswererGT
#learnwithbrainly
It is 10, and 15 I believe
We know that:
Mean = 82 mm and SD = 10 mm ( standard deviation )
82 - 3 * SD = 82 - 3 * 10 = 82 - 30 = 52 mm
82 + 3 * SD = 82 + 3 * 10 = 82 + 30 = 112 mm
Population between 52 and 112 mm is within +/- 3 standard deviations from the mean.
By the 66- 95 - 99.7 % rule it is: 99.7% of the test group.
0.977 * 500 = 498.5
Answer:
99.7 % of the test group have a diastolic pressure between 52 and 112 mm, or 498 men.
After calculating the stock and savings account total I found out that the difference in earning between them is $104.738.
