Answer: Scalene and isosceles
Step-by-step explanation:
3/4*d = amount of money saved, because you're taking 1/4 away, so you're left with 3/4 of the price.
Standard form is where the degree of each monomial decreases from left to right. Degree can be found by adding the exponents on each variable.
The only one where this is true is the first one.
The degree goes from 7 to 4 to 2
A simple way you could solve this is by drawing a tape graph.
Draw a long rectangular box.
Cut the box into 8 pieces, seeing as how 5/8 of the coins are dimes.
We have to take 48 and divide it by 8, we get 6, so now we know how many dimes are evenly split into each piece.
Now color in 5 pieces of the tape.
This represents the 5 in 5/8.
Now to find the number of coins, simply multiply 5 by 6, you get the answer of 30.
I hope this helps, if you are confused with any part of my explanation, ask and I will clarify.
Answer:
![\boxed{\boxed{y = 7(x+3)^2-63}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboxed%7By%20%3D%207%28x%2B3%29%5E2-63%7D%7D)
Step-by-step explanation:
The general vertex form of parabola is,
![y=a(x-h)+k](https://tex.z-dn.net/?f=y%3Da%28x-h%29%2Bk)
where,
(h, k) is the vertex of the parabola.
The given function is,
![\Rightarrow f(x) = 7x^2 + 42x](https://tex.z-dn.net/?f=%5CRightarrow%20f%28x%29%20%3D%207x%5E2%20%2B%2042x)
![\Rightarrow y = 7x^2 + 42x](https://tex.z-dn.net/?f=%5CRightarrow%20y%20%3D%207x%5E2%20%2B%2042x)
![\Rightarrow y = 7(x^2 + 6x)](https://tex.z-dn.net/?f=%5CRightarrow%20y%20%3D%207%28x%5E2%20%2B%206x%29)
![\Rightarrow y = 7(x^2 + 2\cdot x\cdot 3)](https://tex.z-dn.net/?f=%5CRightarrow%20y%20%3D%207%28x%5E2%20%2B%202%5Ccdot%20x%5Ccdot%203%29)
![\Rightarrow y = 7(x^2 + 2\cdot x\cdot 3+3^3-3^2)](https://tex.z-dn.net/?f=%5CRightarrow%20y%20%3D%207%28x%5E2%20%2B%202%5Ccdot%20x%5Ccdot%203%2B3%5E3-3%5E2%29)
![\Rightarrow y = 7(x^2 + 2\cdot x\cdot 3+3^3)-7\cdot 3^2](https://tex.z-dn.net/?f=%5CRightarrow%20y%20%3D%207%28x%5E2%20%2B%202%5Ccdot%20x%5Ccdot%203%2B3%5E3%29-7%5Ccdot%203%5E2)
![\Rightarrow y = 7(x+3)^2-7\cdot 9](https://tex.z-dn.net/?f=%5CRightarrow%20y%20%3D%207%28x%2B3%29%5E2-7%5Ccdot%209)
![\Rightarrow y = 7(x+3)^2-63](https://tex.z-dn.net/?f=%5CRightarrow%20y%20%3D%207%28x%2B3%29%5E2-63)
This is vertex form the given function.