Answer:
Not independent
Step-by-step explanation:
The number of single bedroom apartments is 90;
The number of single occupants in that 90 is 64;
64/90 or 32/45 is the rate that a single occupant lives in a 1 bedroom apartment.
The number of multiple bedroom apartments is 110;
The number of single occupants in that 110 is 12;
12/110 or 6/55 is the rate that a single occupant lives in a multiple-bedroom apartment.
The rate of single occupants in any type of apartment is 76/200 or 19/50
32/45>19/50>6/55; since the rate of single occupants in 1 bedroom apartments is higher than the rate of single occupants living in any type of apartment and a multiple-room apartment, the event that an apartment has 1 bedroom and 1 occupant is not indepenent.
y = (x - 2)(x + 5) First I would multiply (x - 2) and (x + 5) together
y = x² + 5x - 2x - 10
y = x² + 3x - 10
Next I would plug in a number for x to find its y value. I will plug in 0
y = 0² + 3(0) - 10
y = -10
(0, -10) [this is the y-intercept (the y value when x = 0)]
Your answer is Graph A because the y-intercept is (0,-10)
2x^2 + x + 3=0 has only complex roots.
The determinant is 1-4*2*3 = -23
-23 (or any determinant) is the part under the square root sign, If that determinant is negative, knowing you cannot take the square root of a negative number, we know the answers must be complex.
9514 1404 393
Answer:
15
Step-by-step explanation:
In vector form, the equation of point p on the line can be written as ...
p = (-3, -4) +t(25 -(-3), 38 -(-4)) . . . . . for some scalar t
p = (-3, -4) +t(28, 42)
p = (-3, -4) +14t(2, 3)
where t takes on any value between 0 and 1.
If we let t = n/14 for some integer 0 ≤ n ≤ 14, then the coordinates of point p will be integers.
There are 15 values that n can have in the allowed range.
The caterpillar touches 15 points with integer coordinates.
Answer:
6
Step-by-step explanation:
f(6) = -6 this is the value when the x value is 6
g(5) = -5 this is the value when the x value is 5
4 * f(6) -6*g(5)
4*-6 - 6* -5
-24 + 30
6
