Answer: v(t)= 2(t-3)^2-32
-32 thousand dollars
Step-by-step explanation:
Did the quiz
Put the coordinates of the point in for x, y, and z and see what the new constant is.
Your plane is
5x +4y +2z = -31
Answer:
(x + 4)(2x - 3)
Step-by-step explanation:
Given
f(x) = 2x² + 5x - 12
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × -12 = - 24 and sum = + 5
The factors are + 8 and - 3
Use these factors to split the x- term
2x² + 8x - 3x - 12 ( factor the first/second and third/fourth terms )
2x(x + 4) - 3(x + 4) ← factor out (x + 4) from each term
(x + 4)(2x - 3)
Thus
f(x) = 2x² + 5x - 12 = (x + 4)(2x - 3) ← in factored form
Answer:
total = 96 sweets
Step-by-step explanation:
sweets shared in the ratio 4 : 5 : 7 = 4x : 5x : 7x ( x is a multiplier )
Seth got 18 more sweets than Frank , that is
7x = 4x + 18 ( subtract 4x from both sides )
3x = 18 ( divide both sides by 3 )
x = 6
Then
total = 4x + 5x + 7x = 16x = 16 × 6 = 96 sweets
O centroid
Step-by-step explanation:
In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has three medians, one from each vertex, and they all intersect each other at the triangle's centroid.
