Answer:
2x + 4
To model 2x+4, you need :
2 positive x-tiles to represent 2x.
4 positive unit tiles to represent 4.
3x+(-1)
To model 3x+(-1), you need :
3 positive x-tiles to represent 3x.
1 negative unit tile to represent (-1).
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Answer:
1.6 meters per second.
Step-by-step explanation:
We have been given an position function and we are asked to find the speed of the rock after 1 second.
Derivative of this function will give us speed function.
Now let us find derivative when t=1,
Therefore, the speed of the rock after 1 second will be 1.6 meters per second.
Answer:
B
Step-by-step explanation:
B 28 square inches
The range of the possible values of x is:
x > 4
For the given triangle:
AB = 4x + 25
BC = 3x - 2
AC = 9x - 5
The sum of two of the sides of the triangle should be greater than the length of the third side
That is:
AC + BC > AB
9x - 5 + 3x - 2 > 4x + 25
12x - 7 > 4x + 25
Collect like terms
12x - 4x > 25 + 7
8x > 32
x > 32/8
x > 4
Therefore, the range of the possible values of x is:
x > 4
Learn more triangle theorems here: brainly.com/question/2102943
Answer:
y = (2/3)x + 4
Step-by-step explanation:
(Step 1)
Pick two points from the line.
Point 1: (0,4)
Point 2: (-6, 0)
(Step 2)
Use the point-slope formula to calculate the slope(m) of the line. This equation requires the input of the "x" and "y" values from the points.
y₁ - y₂ = m(x₁ - x₂) <----- Point-slope form
4 - y₂ = m(0 - x₂) <---- Plug in "x" and "y" values from Point 1
4 - 0 = m(0 - (-6)) <---- Plug in "x" and "y" values from Point 2
4 = m(6) <---- Simplify left side and parentheses
2/3 = m <---- Divide both sides by 6
(Step 3)
Use the slope-intercept formula to calculate the y-intercept of the line. This equation requires the input of one of the point's "x" and "y" values and the slope.
y = mx + b <---- Slope-intercept form
y = (2/3)x + b <---- Plug (2/3) in for "m"
4 = (2/3)(0) + b <---- Plug in "x" and "y" values from Point 1
4 = b <---- Multiply
(Step 4)
Now you have the necessary values to determine the equation of the graph. Substitute the values for "m" and "b" into the slope-intercept formula to find the final answer.
m = 2/3
b = 4
y = mx + b
y = (2/3)x + 4