Answer:
1 root
Step-by-step explanation:
A linear equation should only cross the x-axis at one point. That means there would only be 1 root. (Root is when y= 0)
Answer:
B. 4
Step-by-step explanation:
Determine the constant of variation for the direct variation given.
(0, 0), (3, 12), (9, 36)
A. 3
B. 4
C.12
Direct variation is given by:
y = kx
Where,
k = constant of variation
(3, 12)
x = 3; y = 12
y = kx
12 = k*3
12 = 3k
k = 12 / 3
k = 4
(9, 36)
x = 9; y = 36
y = kx
36 = k * 9
36 = 9k
k = 36 / 9
= 4
k = 4
Constant of the variation = 4
Answer:
The solution is
.
Step-by-step explanation:
A first order differential equation
is called a separable equation if the function
can be factored into the product of two functions of
and
:

where
and
are continuous functions.
We have the following differential equation

In the given case
and
.
We divide the equation by
and move
to the right side:

Next, integrate both sides:

Now, we solve for 

We use the initial condition
to find the value of C.

Therefore,

There are 5280 feet in a mile
There are 3600 seconds in an hour
to get 40 miles per hour
we multiply 40 by 5280 and divide by 3600
40 * 5280 / 3600
this gets us 58.666666...
but since they want us to round to the nearest whole number, our answer would be 59 feet per second
The parent function is y = x^2
There is a compression of 3:
y = 3x^2
There is a shift by 1 unit to the left:
y = 3(x + 1)^2