Standard form for a parabola:
( x - h )² = 4 p ( y - k )
Vertex: ( h, k ) = ( -4, 2 )
Displacement from vertex to focus:
p = 2/8 = 1/4
( x + 4 )² = 4 · 1/4 ( y - 2 )
y = ( x + 4 )² + 2
or general form:
x² + 8 x - y + 18 = 0
Answer:
13 quarters, 26 nickels.
Step-by-step explanation:
n will be number of nickels, q will be number of quarters, and we have 39 total coins
so n + q = 39 (number of nickels + number of quarters = 39 coins.
The problem also says there are twice as many nickels as quarters. so we can call the number of nickels n or we can call it 2q (2 times the number of quarters)
which means
n + q = 39
2q + q = 39
3q = 39
q = 13
and she has 2 times as many nickels as quarters... 2 x 13 = 26 nickels
LMK if you have questions.
If you want to double check the money,
n(0.05) + q(0.25) = 4.55 is the equation to use.
26(0.05) + 13(0.25) = 1.3 + 3.25 = $4.55
Answer:
x=0
Step-by-step explanation:
Subtract 1 from both sides
2x+1-1<1-1
Simplify the arithmetic
2x<1-1
Simplify the arithmetic
2x<0
Isolate the X
X=0
When you cut the apples into thirds, each apple gives you 3 pieces of equal size.
1 apple = 3 pieces
4 * 1 apple = 4 * 3 pieces
4 apples = 12 pieces
2e^(x+3)=10
e^(x+3)=5
ln[e^(x+3)]=ln 5
(x+3)ln e=ln 5
(x+3)=ln 5
x=(ln 5)-3
Answer: x=(ln 5) - 3
