Perpendicular lines have slopes that are opposite signs and reciprocals.
Example: If one line has a slope of 5/3, then the perpendicular slope is -3/5.
In your case, your first line has a slope of -1/5. The perpendicular slope will be positive and will be 5/1.
The slope of a line perpendicular to the given one is 5.
Answer:
3/4 teaspoons of pepper
Step-by-step explanation:
1/4 teaspoons : 3 potatoes = x teaspoons : 9 potatoes
(1/4)/3 = x/9
3x = 9 * 1/4
x = 3 * 1/4
x = 3/4
Answer: 3/4 teaspoons of pepper
Answer:
<u>x=3</u>
Step-by-step explanation:
Addition property of equality is adding the same number to both sides of an equation does not change the equation.
a+c=b+c
3x-7=2
add 7 both sides of an equation.
3x-7+7=2+7
simplify.
3x=9
divide by 3 both sides of an equation.
3x/3=9/3
simplify.
9/3=3
3*3=9
9/3=3
<u>x=3 and 3=x</u>
Hope this helps!
Thanks!
The next step is to solve the recurrence, but let's back up a bit. You should have found that the ODE in terms of the power series expansion for
which indeed gives the recurrence you found,
but in order to get anywhere with this, you need at least three initial conditions. The constant term tells you that
, and substituting this into the recurrence, you find that
for all
.
Next, the linear term tells you that
, or
.
Now, if
is the first term in the sequence, then by the recurrence you have
and so on, such that
for all
.
Finally, the quadratic term gives
, or
. Then by the recurrence,
and so on, such that
for all
.
Now, the solution was proposed to be
so the general solution would be
The answer would be C because you would do 60 x 25 which would give you 1,500