Answer:
m = - 3
Step-by-step explanation:
a³ + 27 ← is a sum of cubes and factors in general as
a³ + b³ = (a + b)(a² - ab + b²), thus
a³ + 27
= a³ + 3³
= (a + 3)(a² - 3a + 9)
comparing a² - 3a + 9 to a² + ma + 9, then
m = - 3
Answer:
Height of the kite from the ground is 29.2 feet.
Step-by-step explanation:
For better explanation of the solution, see the figure attached :
The angle formed by the height of kite to that of the surface of the ground is right angle.
⇒ m∠ABC = 90°
Let angle of elevation be θ
Now, to find height of the kite : find length of AB
In right angled triangle ABC , using tan rule, we have
Hence, Height of the kite from the ground is 29.2 feet.
Answer:
Step-by-step explanation:
we know that
when
-------> complementary angles
so
Because
-------> complementary angles
In this problem the product of
is equal to
therefore
Answer:
0.531 > 0.456
0.63 > 0.47
0.267 < 0.539
0.07 < 0.7
Step-by-step explanation:
a. 0.531 _____ 0.456
compare the numbers from left to right
5 is greater than 4 so 0.531 greater than 0.456
0.531 > 0.456
b. 0.63 _____ 0.47
6 is greater than 4. 0.63 > 0.47
c. 0.267 _____ 0.539
2 is less than 5 . so 0.267 less than 0.539
0.267 < 0.539
d. 0.07 _____ 0.7
0 is less than 7
0.07 < 0.7
Company 1: f(x) = 0.25x² - 8x + 600
f(6) = 0.25(6²) - 8(6) + 600 = 9 - 48 + 600 = 561
f(8) = 0.25(8²) - 8(8) + 600 = 16 - 64 + 600 = 552
f(10) = 0.25(10²) - 8(10) + 600 = 25 - 80 + 600 = 545
f(12) = 0.25(12²) - 8(12) + 600 = 36 - 96 + 600 = 540
f(14) = 0.25(14²) - 8(14) + 600 = 49 - 112 + 600 = 537
company 2:
x g(x)
6 862.2
8 856.8
10 855
12 856.8
14 862.2
Based on the given information, the minimum production cost of company 2 is greater than the minimum production cost of company 1.
