Answer:
C it has the largest rate of change
Step-by-step explanation:
To find the greatest rate of change, we need the largest slope
In equation form y =mx +b where y is the slope
A. 6x – 7y = 21
Solve for y
Subtract 6x from each side
-7y = -6x+21
Divide by -7
y = 6/7x + 21/7
The slope is 6/7
B. y = 2x – 2
The slope is 2
C. x 2 3 4
y 7 13 19
slope = (y2-y1)/(x2-x1)
= (19-7)/(4-2)
= 12/2
=6
D. A linear function that goes through point 1, 2 and point 0, negative 1
(1,2) (0,-1)
slope = (y2-y1)/(x2-x1)
= (-1-2)/(0-1)
= -3/-1
=3
This is classic Pythagorean solving:
Side^2 + Side^2 = Hypotenuse^2
The hypotenuse is the longest side of a triangle, and it connects the leg and the base usually. In this triangle, 18 is the hypotenuse -- so since we are solving for the unknown side, the equation is:
a^2 + 5.7^2 = 18^2 -- now solve
a^2 = 18^2 - 5.7^2
a^2 = 291.51
a = sqrt(291.51)
a = 17.07 -- because height is the square root of the difference of the squares of 18 and 5.7
The answer is choice B.
*Commutativity*, which basically says that order does matter.
2 + 1 is the same as 1 + 2, and 3 x 4 is the same as 4 x 3.
Whether an object will sink or float depends on how the buoyant force compares with the object`s weight. This, in turn, depends on the object`s density.
Answer: B ) The objects probably have different densities.
2 consecutive odd integers....x and x + 2
x + 44 = 3(x + 2)
x + 44 = 3x + 6
44 - 6 = 3x - x
38 = 2x
38/2 = x
19 = x
x + 2 = 19 + 2 = 21
ur 2 numbers are : 19 and 21
