Answer: C. 31
Explanation:
Set A contains [50, 51, 52, … , 99, 100]. Set B contains [70, 71, 72, … , 136, 137]
Notice that Set B and Set A have an overlap from 70 to 100. So that is 31 elements in total. Hence the set A intersect B is [70, 71, 72, … , 99, 100] which is 31 elements.
Cheers.
Answer:
-4
Step-by-step explanation:
given
f(x) = 4x - 12
if x = 2,
f(2) = 4(2) - 12
= 8 - 12
= -4
Answer: 6, 8, 10, 12
Step-by-step explanation:
Given that x is the number, the 4 numbers would be
x, x + 2, x + 4, x + 6
so the two smallest numbers would be x and x + 2
and the two largest numbers would be x+4 and x+6
now set up an equation
x(x+2) = (x+4)(x+6) - 72
now FOIL
x^2 + 2x = x^2 + 6x + 4x + 24 - 72
combine like terms
x^2 + 2x = x^2 + 10x -48
subtract x^2 from both sides
2x = 10x - 48
subtract 2x from both sides
0 = 8x - 48
add 48 to both sides
48 = 8x
divide both sides by 8
6 = x
so the four numbers, x, x+2, x+4, and x+6 when you plug in x are equal to
6, 8, 10, 12
The question is incomplete, the complete question is below:
Scientists have found a relationship between the temperature and the height above a distant planet's surface. , given below, is the temperature in Celsius at a height of kilometers above the planet's surface. The relationship is as follows: T(h) = 30.5 -2.5h.
a) Calculate T^-1(x)
b) T^-1(15)
Answer:
a) 
b) 6.2 °C
Step-by-step explanation:
a) 
b) 
