Answer:
$15.63 ≤ x ≤ $54.365
Step-by-step explanation:
Profit of the phone company is modeled by the equation,
p(x) = -50x² + 3500x - 2500
For the profit of at least $40000,
-50x² + 3500x - 2500 ≥ 40000
-50x² + 3500x ≥ 40000 + 2500
-50x² + 3500x ≥ 42500
-x² + 70x ≥ 850
x² - 70x + 850 ≤ 0
By quadratic formula,
x - intercept of the inequality will be,
x = 
x = 
x = 15.635, 54.365
Therefore, $15.635 ≤ x ≤ $54.365 will be the range of cost for which profit will be at least $40000.
C .............................
Answer:
one solution
Step-by-step explanation:
Given
17 - 
x = 10 ( subtract 17 from both sides )
- x = - 7 ( multiply both sides by - 9 to clear the fraction )
x = 63
Answer:
There will be 128 organisms after 30 minutes.
Step-by-step explanation:
30/5=6
1.) 2*2=4
2.) 4*2=8
3.) 8*2=16
4.) 16*2=32
5.) 32*2=64
6.) 64*2=128
Answer:
-39
Step-by-step explanation:
This sequence follows the pattern of subtracting 7 each time. We can prove this:
31 - 7 = 24, 24 - 7 = 17, 17 - 7 = 10
So if we were to continue to the 11th term, we would subtract 7 more times.
1. 10 - 7 = 3
2. 3 - 7 = -4
3. -4 - 7 = -11
4. -11 - 7 = -18
5. -18 - 7 = -25
6. -25 - 7 = -32
7. -32 - 7 = -39
The 11th term in the sequence would be -39.
