Answer:
k = 6
Step-by-step explanation:
Solution:
p(x) = 2x^3 + 5x^2 - x - k
x + 2 = 0
x = -2
p(-2) = 2(-2)^3 + 5(-2)^2 - (-2) - k
0 = -16 + 20 + 2 - k
0 = 6 - k
Therefore, k = 6
OPTION (a) 6
PLZ MARK ME AS BRAINLIEST!!!
Answer:
5.39
Step-by-step explanation:
if you are trying to find MN then it means you need to find the length.
we cant use slope, but we CAN make it a triangle!
*see the attached image*
we can use A^2+B^2 to get what the hypotenuse is or C^2 is
2^2+5^2
4+25=29
the square root of 29 is 5.385
then we just round to the hundreth!
5.39
(8>5, so we bump him up)
hope this helped!
Answer:
£1.48
Step-by-step explanation:
0.74 x 2= 1.48
Answer:
• substitute for j as -35
• but since it is magnitude, every magnitude has a positive value, therefore;
Answer:
Answer: the service charge per hour for premium services is $5.5
the service charge per hour for regular services is $3
Step-by-step explanation:
Let x represent the service charge per hour for premium services.
Let y represent the service charge per hour for regular services.
One customer was charged $38 after spending 2 h in premium areas and 9 regular hours. It means that
2x + 9y = 38- - - - - - - - - - - 1
Another customer spent 3 h in premium areas and 6 regular hours and was charged $34.50. It means that
3x + 6y = 34.5- - - - - - - - - - -2
We would eliminate x by multiplying equation 1 by 3 and equation 2 by 2. It becomes
6x + 27y = 114
6x + 12y = 69
Subtracting, it becomes
15y = 45
y = 45/15
y = 3
Substituting y = 3 into equation 1, it becomes
2x + 9 × 3 = 38
2x + 27 = 38
2x = 38 - 27 = 11
x = 11/2 = 5.5