Answer:
f(x) has a minimum value of -10.
Step-by-step explanation:
It will have a minimum value because the coefficient of x^2 is positive.
To find its value we convert to vertex form:
f(x) = 4x^2 - 16x + 6
= 4(x^2 - 4x) + 6
= 4[(x - 2)^2 - 4] + 6
= 4(x - 2)^2 - 16 + 6
= 4(x - 2)^2 - 10.
So the minimum value is -10.
x³ + y³ + z³ - 3xyz is a multiple of x+y+z.
<h3>What is a multiple?</h3>
It should be noted that a multiple simply means a number that van be divided by another a certain number if times without a remainder.
Put x + y + z = 0
= x³ + y³ + z³ - 3xyx
= 0(x² + y² + z² - xt - yz - zx)
= x³ + y³ + z³ - 3xyz = 0.
x³ + y³ + z³ = 3xyz
Learn more about multiples on:
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Answer:
1,946,075.95 AED
Step-by-step explanation:
Firstly, we write the general formula for an exponential increase as follows;
V(t) = A( 1 + r)^t
where V(t) is the value after some number of years t
A is the investment amount which is 100,000 AED
r is the rate of increase which is 16% = 16/100 = 0.16
t is the number of years which is 20
substituting these values;
V(20) = 100,000( 1 + 0.16)^20
V(20) = 100,000(1.16)^20
V(20) = 1,946,075.95 AED
Answer:
? is 24
Step-by-step explanation:
Step-by-step explanation:
A)
The length of the box is 30 − 2x inches.
The width of the box is 30 − 2x inches.
The height of the box is x inches.
So the volume is:
V = x (30 − 2x)²
B)
V(3) = 3 (30 − 6)² = 1728
V(4) = 4 (30 − 8)² = 1936
V(5) = 5 (30 − 10)² = 2000
V(6) = 6 (30 − 12)² = 1944
V(7) = 7 (30 − 14)² = 1792
As x increases, the volume of the box increases to a maximum and then decreases.
C)
The ends of the domain occur when V = 0.
0 = x (30 − 2x)²
x = 0 or 15
So the domain is (0, 15).
