Answer:
f(x) = x² - 6x
g(x) = (x³)² = x^6
( f o g) x
Wherever you see x in f(x) replace it by g(x)
That's
( f o g)(x) = (x^6)² - 6(x^6)
= x^12 - 6x^6
Hope this helps
Answer:
8.75 cups
Step-by-step explanation:
3.5:1 (the ratio of batches to 1 batch)
x:2.5 (the ratio of cups of sugar used to the amount used for only 1 batch)
3.5/1=x/2.5 (proportion)
x= 8.75
Your answer is D. 16x² - 56xy + 49y².
A perfect square trinomial is the result of a squared binomial, like (a + b)². Using this example, the perfect square trinomial would be a² + 2ab + b², as that is what you get when you expand the brackets.
Therefore, to determine which of these is a perfect square trinomial, we have to see if it can be factorised into the form (a + b)².
I did this by first square rooting the 16x² and 49y² to get 4x and 7y as our two terms in the brackets. We automatically know the answer isn't A or B as you cannot have a negative square number.
Now that we know the brackets are (4x + 7y)², we can expand to find out what the middle term is, so:
(4x + 7y)(4x + 7y)
= 16x² + (7y × 4x) + (7y × 4x) + 49y²
= 16x² + 28xy + 28xy + 49y²
= 16x² + 56xy + 49y².
So we know that the middle number is 56xy. Now we assumed that it was (4x + 7y)², but the same 16x² and 49y² can also be formed by (4x - 7y)², and expanding this bracket turns the +56xy into -56xy, forming option D, 16x² - 56xy + 49y².
I hope this helps!
Answer:
The last one.
Step-by-step explanation:
Answer:Y=3/1 X -1
Step-by-step explanation:rise over run 3/1 and then y intercept is -1
