Answer:
Step-by-step explanation:
I'm not sure how you are finding this in class, but the easiest way by far is to use the expressions for h and k:
and
(Just a fun fact: Those expressions come from the quadratic formula that help us to factor a quadratic equation.)
Filling in for h:
simplifies to
Filling in for k:
which simplifies a bit to
which simplifies a bit more to
The vertex, then, is (4, -25).
You would also find this if you completed the square. But again, I'm not sure how you're solving for the vertex in class.
4(8) - 3 • 81
The first one
If you have 1 nickle, how many quarters do you have? (3)
If you have 4 nickles, you have 3 times as many quarters (3)(4) = 12
If you have n nickles, then you have 3n quarters so 3n = q, you have a slightly different equation.
If you fix this equation and use substitution like you did, you can get the right answer; you can also try to work in the other information that you have - converting all coin values to cents
5n + 10d + 25q = 460
Answer:
5 + 5 = 10
5 + 6 = 11
5 + 7 = 12
5 + 8 = 13
5 + 9 = 14
5 + 10 = 15
5 + 11 = 16
Step-by-step explanation:
<span>Volume of a square = (s)(s)(s) and s=5a+4b
Therefore: (5a+4b)(5a+4b)(5a+4b)=
(25a^2+40ab+16b^2)(5a+4b)=
(125a^3+200a^2b+80ab^2+100a^2b+160ab^2+64b^3)= (125a^3+300a^2b+240ab^2+64b^3)
You just multiple the first time the second and then do so again with the combination of the first two times the second. A little cleaning up and you are left with an equation in terms of a and b.</span>
