Answer:
<h2>
258</h2>
Step-by-step explanation:
Long story short ,
Distribute the -2 to get
-16x + 8 < 2x + 5
3 < 18x
1/6 < x
so x > 1/6
9 on the top as well so 9 x 2 18 3x2 6 3
Answer:
8,567
Step-by-step explanation:
Given the cost function expressed as C(x)=0.7x^2- 462 x + 84,797
To get the minimum vaklue of the function, we need to get the value of x first.
At minimum value, x = -b/2a
From the equation, a = 0.7 and b = -462
x = -(-462)/2(0.7)
x = 462/1.4
x = 330
To get the minimum cost function, we will substitute x = 330 into the function C(x)
C(x)=0.7x^2- 462 x + 84,797
C(330)=0.7(330)^2- 462 (330)+ 84,797
C(330)= 76230- 152460+ 84,797
C(330) = 8,567
Hence the minimum unit cost is 8,567
9514 1404 393
Answer:
a) ∆RLG ~ ∆NCP; SF: 3/2 (smaller to larger)
b) no; different angles
Step-by-step explanation:
a) The triangles will be similar if their angles are congruent. The scale factor will be the ratio of any side to its corresponding side.
The third angle in ∆RLG is 180° -79° -67° = 34°. So, the two angles 34° and 67° in ∆RLG match the corresponding angles in ∆NCP. The triangles are similar by the AA postulate.
Working clockwise around each figure, the sequence of angles from lower left is 34°, 79°, 67°. So, we can write the similarity statement by naming the vertices in the same order: ∆RLG ~ ∆NCP.
The scale factor relating the second triangle to the first is ...
NC/RL = 45/30 = 3/2
__
b) In order for the angles of one triangle to be congruent to the angles of the other triangle, at least one member of a list of two of the angles must match for the two triangles. Neither of the numbers 57°, 85° match either of the numbers 38°, 54°, so we know the two triangles have different angle measures. They cannot be similar.
