Answer:
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes.
The exemplar equation has slope
9x - 3y = 18
- 3y = -9x + 18
y = 3x - 6
m = 3
so perpendicular slope will be -1/3
D has such a slope
3y = -x + 1
y = (-1/3)x + 1/3
This is an unanswerable question there are no graphs for us to look at.
But if the points are scattered randomly and you can’t make up if it’s going left to right or right to left then it’s no correlation.
Answer:
I believe its C?
Step-by-step explanation:
Answer: The balance in the account after 10 years is $3374.65
Step-by-step explanation:
The exponential equation for growth [ compounded continuously] is
, where P= Present value
r= growth rate ( in decimal)
t= time (years)
By considering the given information , we have
p=$2500 r = % =0.03 and t= 10
Substitute all the values in the above equation , we get
[Round to the nearest cent]
Therefore, the balance in the account after 10 years is $3374.65
Solve for x over the real numbers:x = -2. x^2 - 8 x + 6
Hint: | Rewrite the right hand side of the equation.-2. x^2 - 8 x + 6 = -2 x^2 - 8 x + 6:x = -2 x^2 - 8 x + 6
Hint: | Move everything to the left hand side.Subtract -2 x^2 - 8 x + 6 from both sides:2 x^2 + 9 x - 6 = 0
Hint: | Write the quadratic equation in standard form.Divide both sides by 2:x^2 + (9 x)/2 - 3 = 0
Hint: | Solve the quadratic equation by completing the square.Add 3 to both sides:x^2 + (9 x)/2 = 3
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.Add 81/16 to both sides:x^2 + (9 x)/2 + 81/16 = 129/16
Hint: | Factor the left hand side.Write the left hand side as a square:(x + 9/4)^2 = 129/16
Hint: | Eliminate the exponent on the left hand side.Take the square root of both sides:x + 9/4 = sqrt(129)/4 or x + 9/4 = -sqrt(129)/4
Hint: | Look at the first equation: Solve for x.Subtract 9/4 from both sides:x = sqrt(129)/4 - 9/4 or x + 9/4 = -sqrt(129)/4
Hint: | Look at the second equation: Solve for x.Subtract 9/4 from both sides:Answer: x = sqrt(129)/4 - 9/4 or x = -9/4 - sqrt(129)/4
