The 3rd choice is the correct
if x >0 then f(x) >0 is always true
Answer:
2. 4x³ - 2x² + 4y
3. (2x+3)(2x−5)² (To expand, it would be 8x³ - 28x² - 10x + 75)
Step-by-step explanation:
2.
(4x³ + 2y) - (2x² - 2y)
<em>Find the opposite of 2x² - 2y by finding the opposite of each term.</em>
4x³ + 2y - 2x² + 2y
<em>Add 2y and 2y to get 4y.</em>
4x³ - 2x² + 4y
3.
To simplify this expression, simply multiply 2x - 5 by itself to get (2x + 3)(2x - 5)².
I know this is extra, but I'll expand it out.
(2x + 3)(2x - 5)²
<em>Use binomial theorem (a−b)² =a²−2ab+b² to expand (2x−5)
²</em>
(2x + 3)(4x² - 20x + 25)
<em>Use the distributive property to multiply 2x + 3 by 4x² - 20x + 25.</em>
8x³ - 40x² + 50x + 12x² - 60x + 75
<em>Combine -40x² and 12x² to get -28x².</em>
8x³ - 28x² + 50x - 60x + 75
<em>Combine 50x and -60x to get -10x.</em>
8x³ - 28x² - 10x + 75
Answer: p = 7.50h
Step-by-step explanation: If you compare the hours worked (h) with pay (p) you'll find that the pay is always 7.50 times the hours worked in dollars. Hence, p = 7.50h.
Answer:
5 m/s
Step-by-step explanation:
According to law of conservation of momentum :
m1u1 + m2u2 = m1v1 + m2v1
m1 = 7kg ; u1 = 9m/s ; m2 = 2kg ; u2 = 0 ; v2 = 14 m/s
m = masses ; u = initial velocities ; v = final velocities
m1u1 + m2u2 = m1v1 + m2v1
7*9 + 2*0 = 7*v + 2*14
63 + 0 = 7v1 + 28
63 = 7v1 + 28
63 - 28 = 7v1
35 = 7v1
v1 = 35 / 7
v1 = 5 m/s