Hello :
x²-2x-24 =( x²-2x+1)-1-24
= (x-1)² -25 ..... ( vertex form)
<span>. Vertex: (1, -25);
intercepts: x = 6, -4 because :
</span>f(x) = 0..... (x-1)² -25 =0
(x-1)² = 5²
x-1=5 or x-1 = -5
x=6 or x=-4
Answer:
a=8
Step-by-step explanation:
X=pounds of coffee bean ($0.20 per pound)
y=pounds of coffee bean ($0.68 per pound )
We can suggest this system of equations:
x+y=120
(0.20x+0.68 y) / (x+y)=0.54 ⇒ (0.2x+0.68y)=0.54(x+y)
We can solve this system by substitution method.
x+y=120 ⇒ y=120-x
0.2x+0.68(120-x)=0.54[x+(120-x)]
0.2x+81.6-0.68x=0.54(120)
-0.48x+81.6=64.8
-0.48x=64.8-81.6
-0.48x=-16.8
x=-16.8/-0.48
x=35
y=120-x=120-35=85
Answer: the coffee mixture has 35 pounds of coffee beans sold to $0.2 a pound, and 85 pounds of coffee beans sold to $0.68 a pound, the solutions is reasonable because the price of a coffee mixture ($0.54 a pound) is greater than $0.2 and smaller than $0.68.
300 miles is equal to 528,000 yards
