Answer:
no
Step-by-step explanation:
the bottom one isnt a triangle
A nickel is equal to 5 cents or 0.05 dollars.
A quarter is equal to 25 cents or 0.25 dollars.
Let number of nickels be = n
Let number of quarters be = q
...........(1)
As it is given, there are 3 more nickels than quarters so equation becomes,
................(2)
Plug in the value of 'n' from (2) in (1)
![0.05(q+3)+0.25q=2.85](https://tex.z-dn.net/?f=0.05%28q%2B3%29%2B0.25q%3D2.85)
= ![0.05q+0.15+0.25q=2.85](https://tex.z-dn.net/?f=0.05q%2B0.15%2B0.25q%3D2.85)
![0.30q=2.70](https://tex.z-dn.net/?f=0.30q%3D2.70)
![q=9](https://tex.z-dn.net/?f=q%3D9)
As
we get, ![n=9+3=12](https://tex.z-dn.net/?f=n%3D9%2B3%3D12)
Hence, there are 12 nickels and 9 quarters.
Answer:
(18/5, 0) is the x intercept
(0,-2) is the y intercept
Step-by-step explanation:
-5x+9y = -18
Set y = 0 and solve for x to find the x intercept
-5x +0 = -18
Divide each side by -5
x = -18/-5
x = 18/5
(18/5, 0) is the x intercept
Set x = 0 and solve for y to find the y intercept
0 +9y = -18
Divide each side by 9
y = -18/9
y = -2
(0,-2) is the y intercept
Answer:
y = -1/2 ( x − 4 )^2 + 8
Step-by-step explanation:
First find the vertex form
y = a ( x − h )^ 2 + k where ( h,k) is the vertex
The vertex is ( 4,8)
y = a ( x − 4 )^2 + 8
Now we need to determine a
Pick a point on the graph (0,0)
and substitute this point into the equation
0 = a ( 0 − 4 )^2 + 8
0 = a (16) +8
-8 = 16a
-8/16 =a
-1/2
y = -1/2 ( x − 4 )^2 + 8