-5 ≤ 3m + 1 < 4
- 1 - 1 - 1
-6 ≤ 3m < 3
3 3 3
-2 ≤ m < 1
Solution Set: {m|-2 ≤ m < 1}, {m|m ≥ -2 and m < 1}, [-2, 1)
The answer is A.
Answer:
h(3) = - 140
Step-by-step explanation:
Generate the terms in the sequence by substituting n = 2 and 3 into h(n)
h(2) = h(2 - 1) × 2 = h(1) × 2 = - 35 × 2 = - 70
h(3) = h(3 - 1) × 2 = h(2) × 2 = - 70 × 2 = - 140
Step-by-step explanation:
last week there were 19+30+77 = 126 customers.
19/126 = 1/14 paid cash.
30/126 = 5/21 paid by debit card.
77/126 = 11/18 paid by credit card.
next week he expects 1800 customers.
that is compared to 126 a factor of
1800/126 = 300/21 = 100/7
now we actually only need to apply the same factor to any part of the total sum to get their share in the new total sum.
it simply follows the rule
(a + b + c) × d = ad + bd + cd
so,
77 × 100/7 = 11 × 100 = 1100 customers are expected to pay per credit card.
Answer:
14). 2nd quadrant
15). 1st quadrant
Step-by-step explanation:
14).Coordinates of a point → J(-8, -12)
Coordinates of the new point J' after reflection of x-axis will follow the rule,
(x, y) → (x, -y)
Coordinates of J' → (-8, 12)
Therefore, point J' will lie in 2nd quadrant.
15). Coordinates of a point → W(-6, 7)
Rule for the rotation by 90°clockwise about the origin,
(x, y) → (y, -x)
Coordinates of point W → (-6, 7)
Following this rule,
W(-6, 7) → W'(7, 6)
Therefore, point W' will lie in the first quadrant.
A^2 + 16^2 = 20^2
(Third one)
