Answer:
B
Step-by-step explanation:
1.
- 3(x+3) - 2 < 4
- 3x + 9 -2 < 4
- 3x < 4-7
- 3x < - 3
- x < -1
- x = (-oo, -1)
2.
- 1 - x ≤ -1
- - x ≤ -1 - 1
- -x ≤ -2
- x ≥ 2
- x = [2, +oo)
Correct choice is B.
0Answer:
A
Step-by-step explanation:
Find the zeros by letting y = 0 , that is
x² - x - 6 = 0 ← in standard form
(x - 3)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x + 2 = 0 ⇒ x = - 2
Since the coefficient of the x² term (a) > 0
Then the graph opens upwards and will be positive to the left of x = - 2 and to the right of x = 3 , that is in the intervals
(-∞, - 2) and (3, ∞ ) → option A
Answer: AB = 150 degrees
Step-by-step explanation: 90 + 60 = 150
Answer:
Step-by-step explanation:
<u>Given</u>
- A costs 5$
- B costs $0.25
- C costs $0.05
- A + B + C = 100
- 5A + 0.25B + 0.05C = 100 ⇒ 100A + 5B + C = 2000
<u>Subtract the first equation from the second:</u>
<u>We have a restriction in numbers:</u>
<u>Since 4B can be max 400, we get 99A > 1500 and 99A < 1900 so:</u>
and
A can be 16 or 18 as it should be even number to get B the whole number.
<u>If A = 16:</u>
- 99*16 + 4B = 1900
- 4B = 1900 - 1584
- 4B = 316
- B = 316/4 = 79
<u>If A = 18:</u>
- 99*18 + 4B = 1900
- 4B = 1900 - 1782
- 4B = 118
- B = 118/4 = 29.5, discarded as decimal
<u>So we get:</u>
- A = 16, B = 79 and C = 100 - (16 + 79) = 5
<u>Let's proof the numbers:</u>
- 16*5 + 79*0.25 + 5*0.05 = 100, confirmed
Which of these two? Do you have a picture maybe?
