We observe that we have a polynomial of the form:
ax2 + bx + c
Therefore, to complete the square, we must use the following formula:
a (x + (b / 2a)) ^ 2 + c - (b ^ 2 / 4a)
Thus,
Step 1:
We define:
a = 5
b = 15
c = -4
Step 2:
we use the formula:
5 (x + (15 / (2 * 5))) ^ 2 + (-4) - ((15) ^ 2 / (4 * 5))
5 (x + (15 / (2 * 5))) ^ 2 - 15.25
5 (x + 1.5) ^ 2 - 15.25
5 (x + 3/2) ^ 2 - 61/4
Answer:
Gio should do first:
a (x + (b / 2a)) ^ 2 + c - (b ^ 2 / 4a)
a = 5
b = 15
c = -4
Initial price of car = $x
After one year the price of car = $0.88x
to find the change in price we subtract the price after one year from initial price.
It means change in price = (x-0.88x)= 0.12x
By this we can easily see that , price dropped by 0.12
Or we can say that price dropped by 12%
So option C is the correct answer
C) 12% decrease
Answer:
Charlie had 1340 more stamps than Ryan
Step-by-step explanation:
altogether, they have 1608 stamps.
Because if Charlie has 5 times more plus Ryan's portion equals 6 portion total.
Divide 1608 by 6 and that equals 268
Meaning that Ryan has 268 stamps.
To confirm, subtract 268 from 1608
this equals 1340.
268 * 5 = 1340
This is a geometric sequence of the form:
a(n)=ar^n, a=initial value, r=common ration, n=term number, if we relabel it for h(b) we have
h(b)=14(0.8^b)
h(3)=14(0.8^3)
h(3)≈7.2 ft (to nearest tenth of a foot)
Answer:
Step-by-step explanation:
P≥300
300≤P
P=2(L+W)
300≤2(L+W)
L=3
W=x+5
300≤2(3+x+5)
300≤2(8+x)
divide both sides by 2
150≤8+x
minus 8 both sides
142≤x
x is at least 142
width is at least 147
