Answer:
- time: t = -0.3
- minimum: v = 0.55
Step-by-step explanation:
For quadratic ax^2 + bx + c, the extreme value is found at x=-b/(2a). For your quadratic, the minimum is found at ...
t = -(3)/(2(5))
t = -0.3 . . . . . time of minimum velocity
__
The value of velocity at that time is ...
v = 5(-0.3)^2 +3(-0.3) +1 = 5(.09) -.9 +1
v = 0.55 . . . . . value of minimum velocity
Answer:
y = 5
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (7, 5) and (x₂, y₂ ) = (- 9, 5)
m =
=
= 0
This means the line is horizontal and parallel to the x- axis with equation
y = c
where c is the value of the y- coordinates the line passes through.
The line passes through (7, 5) and (- 9, 5) with y- coordinates 5, thus
y = 5 ← equation of line
Answer:
The answer is C. 6.4 X 8 in
Step-by-step explanation:
If the scale factor from the original to the trimmed photo is 5:4
The statement above just means the scale of the old dimension is 5 while the scale of the new dimension is 4.
To get the new dimensions, multiply each of the old dimensions by 4/5
4/5 X 10 = 8
4/5 X 8 = 6.4
Therefore the new dimension is 6.4 X 8 in
Answer:
The margin of error is 3.465
Step-by-step explanation:
Margin of error = t × sd/√n
n = 92, degree of freedom = n - 1 = 92 - 1 = 91, t-value corresponding to 91 degrees of freedom and 90% confidence level is 1.6618, sd = 20
Margin of error = 1.6618×20/√92 = 33.236/9.592 = 3.465
First, we must understand that to find the perimeter of an object you must add up the lengths of each side.
Some options are:
A square (4 sides) with sides of 4 units long.
4x4=16
A rectangle (4 sides) that is 6 units long and 2 units wide
6+2+6+2=16
An octagon (8 sides) with sides 2 units long
8x2=16