It would be a completely false statement to say that English economist Thomas R. Malthus predicted that there would not be any problems resulting from population growth. He predicted just the opposite of what is being written in the question. The correct option among all the options that are given in the question is the second option.
Answer:
70:82
Step-by-step explanation:
Right Handed People : Total
70 : 70+12
70 : 82
Answer:
One leg - 15 inches
Second leg - 36 inches.
Step-by-step explanation:
One leg - x inches.
Second leg - (x + 21) inches.
Hypotenuse - 39 inches.
Using Pythagorean theorem
x² + (x + 21)² = 39²
x² + x² + 2*21x + 21² = 39²
2x² + 42x - 39² + 21² = 0
2x² + 42x - 1080 = 0
x² + 21x - 540 = 0
(x - 15)(x + 36) = 0
x = 15, x = - 36
We can use only positive value.
One leg - x inches = 15 inches
Second leg - (x + 21) inches = 15+21=36 inches.
Answer:
a) P(x)=14x-224,000 and b) P(21,000)=70,000.
Step-by-step explanation:
a.) Use the formulas shown to write the company's profit function, P, from producing and selling x radios.
The company's profit is given by its revenue minus the production cost. Then, the profit function P(x) will be given by
b.) Find the company's profit if 21,000 radios are produced and sold
To obtain the company's profit we just need to substitute the value given (x=21,000) in the formula 1). Therefore,
.
Answer:
Step-by-step explanation:
13) x⁴-12x² +36
(a-b)² = a²-2ab+b²
a = x² ; b = 6
(x²)² - 2 * x² * 6 + 6² = (x² - 6)²
14) w⁴- 14w² - 32 = w⁴+ 2w² - 16w² - 32 = w² (w² + 2) - 16 (w²+2)
= (w² + 2) (w² -16 )
15) k³ + 7k² - 44k = k ( k² + 7k -44) = k ( k+11 ) ( k-4 )
16) 2a³ +28a²+96a =2a(a²+14a+48) = 2a(a+6)(a+8)
17) -x³ +4x² +21x = (-x) ( x² - 4x - 21) = (-x)(x-7)(x+3)
18) m⁶ - 7m⁴ -18m² = m² ( m⁴-7m²-18) = m² (m²-9)(m²+9)
= m² (m+1) (m-1)(m²+9)
19) 9y⁶ +6y⁴ + y²= y² ( 9y⁴+6y²+1) = y² (3y²+1)²
20) 8c⁴+10c² -3 = (4c +1)(2c-3)
