Answer:
$4
Step-by-step explanation:
because 1/5 of 30 is 5
1/6 of 30 is 6
1/2 of 30 is 15
so you add 5+6+15
which equals 26
then you would subtract 30-26 to get how much is left over, which would be $4
Answer:
(- ∞, - 4 ] ∪ [7, + ∞ )
Step-by-step explanation:
Determine the zeros by equating to zero, that is
x² - 3x - 28 = 0 ← in standard form
(x - 7)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 7 = 0 ⇒ x = 7
x + 4 = 0 ⇒ x = - 4
The zeros divide the domain into 3 intervals
(- ∞ , - 4 ], [ - 4, 7 ], [ 7, + ∞)
Choose a test point in each interval and compare value with required solution
x = - 5 : (- 5)² - 3(- 5) - 28 = 25 + 15 - 28 = 12 > 0
x = 0 : 0 - 0 - 28 = - 28 < 0
x = 10 : 10² - 3(10) - 28 = 100 - 30 - 28 = 42 > 0
Solutions are the first and third interval, that is
x ∈ (- ∞, - 4 ] ∪ [ - 7, + ∞)
Answer:
C. the mean increases more
Step-by-step explanation:
the mean is more affected by outliers because it is an average of all the numbers.
Answer:
Perpendicular line y = (- 8/3)x - 76/3.
Parallel line y = (3/8)x - 1
Step-by-step explanation:
y = 3/8
x + 3
1) Perpendicular line has negative reciprocal slope.
m = - 8/3
y = (- 8/3)x + b
Point (-8, - 4)
- 4 = (- 8/3)*(-8) + b
-4 - 64/3 = b
b = - 76/3
y = (- 8/3)x - 76/3
2) Parallel line has the same slope.
m = 3/8
y = (3/8)x + b
Point (-8, -4)
- 4 = (3/8)*(- 8) + b
- 4 + 3 = b
b = - 1
y = (3/8)x - 1
Answer:
The slope is 2.5
Step-by-step explanation:
y = 2.5x + 5 or
y =
5/2x + 5
When x=0, y = 5
When y=0, x = -2
