Step-by-step explanation:
if |A|≥B then
A≥B or A≤-B
4x-10≥14 or 4x≤-14
solve 4x-10≥14
add 20 on both sides
4x≥10+14
4x≥24
divide by 4 on both ends
x≥24/4
x≥6
now solve
4x-10≤-14
add 10 on both sides
4x≤-14+10
4x≤-4
divide both sides by 4
x≤-1
(-∞,-1] U [6,∞)
The area of the triangle could be determined by multiplying the length and the width. Since, we are given the area and the length, to find the width, you divide the area by the length:
w = A ÷ l
w = (x2 - 2x - 15) ÷ (x+3)
What do you have to multiply to (x+3) to yield x2 - 2x - 15? That would be x - 5. Since the sum of -5 and 3 = -2 (middle term) and the their product is -15 (last term).
Hence, the width is (x-5).
Step-by-step explanation:
I am only sure about the first one but as for the rest I am not really but I tried...if you need explanations to the first one feel free to ask me
Answer:
The required number of plants is 10.
Step-by-step explanation:
Nursery P charges $15 per plant plus a $50 delivery fee on any order. Nursery Q charges $20 per plant and no delivery fee.
If x number of plants that must be delivered for the total cost to be the same at both nurseries, then
15x + 50 = 20x
⇒ 5x = 50
⇒ x = 10
Therefore, the required number of plants is 10. (Answer)
The answer is 2.6 m/s
The speed (v) is distance (d) through time (t).
v = d/t
We know:
d = 390 m
t = 150 s
v = d/t
v = 390 m / 150s
v = = 2.6 m/s
