Answer:
The is answer is B. 278,500
Step-by-step explanation:
Below is the solution:
f(x)=−4(x2−6x+9−9)−29
<span> (</span>x2−6x+9)=(x−3)(x−3)
f(x)=−4((x−3)2−9)−29
f(x)=−4(x−3)2−4(−9)−29
f(x)=−4(x−3)2+36−29
f(x=−4(x−3)2+7
f(x)=−4(x−3)2+7
That's
the equation we got by completing the square.
y=a(x−h)2+k
That's
the formula of a parabola in "vertex" form. Notice the similarity?
The two are equal if we say
y=f(x)
a=−4
h=3
k=7
Therefore the answer is C, <span>−4(x − 3)2 + 7; The maximum height of the water is 7 feet.</span>
Answer:
100cubic inches
Step-by-step explanation:
varies inversely
pv = k
Find the constant of variation:
volume of 180 cubic inches under a pressure of 5 pounds
5 * 180 = k
k = 900
volume if the pressure is increased to 9 pounds per square inch?
9v = 900
divide both sides by 9
v = 100
Answer:
You'd earn $825 in interest.
Step-by-step explanation:
The appropriate formula for simple interest is i = p·r·t, where p is the principal, r is the interest rate as a decimal fraction, and t is the time in years. Because 8 months constitutes 2/3 year, we have:
i = $45,000·(0.0275)(2/3) = $825.
You'd earn $825 in interest.
Answer: After 4 months they will have the same number of Stamps
Xian and Kai will have 124 stamps each one.
Step-by-step explanation:
60+16x = 76+12x (Subtract 12 from both sides)
-12 -12
60+4x = 76 (Subtract 60 from both sides)
-60 -60
4x/4x = 16/4x (Divide 16 by 4)
X = 4
