W = words per minute = 80
t = time in minutes = 30
The total number of words per 30 minutes is w*t = 80*30 = 2400 words
Answer:
11 min and 525 words
Step-by-step explanation:
I put 140 words/ 4 mins and simplified it to 35 words /1 min
Doing so i plug in what was given and used cross multiply and divid :D
Answer: 
Step-by-step explanation:
Given
Position of the particle moving along the coordinate axis is given by
Speed of the particle is given by
Acceleration of the particle is
velocity can be negative, but speed cannot
The vertex form of a quadratic function is:
f(x) = a(x - h)² + k
The coordinate (h, k) represents a parabola's vertex.
In order to convert a quadratic function in standard form to the vertex form, we can complete the square.
y = 2x² - 5x + 13
Move the constant, 13, to the other side of the equation by subtracting it from both sides of the equation.
y - 13 = 2x² - 5x
Factor out 2 on the right side of the equation.
y - 13 = 2(x² - 2.5x)
Add (b/2)² to both sides of the equation, but remember that since we factored 2 out on the right side of the equation we have to multiply (b/2)² by 2 again on the left side.
y - 13 + 2(2.5/2)² = 2(x² - 2.5x + (2.5/2)²)
y - 13 + 3.125 = 2(x² - 2.5x + 1.5625)
Add the constants on the left and factor the expression on the right to a perfect square.
y - 9.875 = 2(x - 1.25)²
Now, we need y to be by itself again so add 9.875 back to both sides of the equation to move it back to the right side.
y = 2(x - 1.25)² + 9.875
Vertex: (1.25, 9.875)
Solution: y = 2(x - 1.25)² + 9.875
Or if you prefer fractions
y = 2(x - 5/4)² + 79/8
Answer:
x = 34
Step-by-step explanation:
Angles are supplementary:
x + 7 + 4x + 3 = 180
5x + 10 = 180
5x = 170
x = 34
