The vertex is at (4, -49) and the axis of symmetry is at x= 4.
To find the vertex of this equation, use this method:
a=2
b=-16
This will help get your x value and the axis of symmetry. To find the y value of the vertex, insert the x value, 4 to get your y value, -49.
Set each expression from the parentheses equal to 0 separately like so:
Equation 1: x - 4 = 0
Equation 2: -5x + 1 = 0
Now for each equation solve for x!
Equation 1:
x +(- 4 + 4) = 0 + 4
x = 4
Equation 2:
-5x +( 1-1) = 0 - 1
-5x/ -5 = -1 / -5
x = 1/5
Check:
(4 - 4)(-5*4 + 1)
(0) (-20 + 1)
(0) (-19)
0 = 0 -------------------------> correct!
(1/5 - 4)(-5 * 1/5 + 1)
(-19/5)(-1 + 1)
(-19/5)(0)
0 = 0 -------------------------> correct!
smaller x = 1/5
larger x = 4
Hope this helped!
Answer:
750 grams of 60% alloy
Step-by-step explanation:
Define x = amount of 60% alloy and y = amount of 20% alloy
Equating the amounts of gold:
0.6x+0.2y = 1000(0.5)
Since there must be 1000 grams total:
x+y = 1000
Writing the 2 resulting equations together:
0.6x + 0.2y = 500
x + y = 1000
Multiply the first equation by 5:
3x + y = 2500
x + y = 1000
Subtracting the 2nd equation from the 1st:
2x = 1500
x = 750
Answer: 750 grams of 60% alloy
Answer:
I=PRT 9.5% in decimal form is .095=11 times rate times tax but we don't know what the tax is.
We actually need the choices but oh well, we can simpify and hopefuly it is one of the choices
remember the distributive property
a(b+c)=ab+ac
so
7(p+2n)+n
distribute first
7(p)+7(2n)+n
7p+14n+n
7p+15n is an equivilent expression
