Answer:
( , 8 )
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 10x - 2 ← is in slope- intercept form
with slope m = 10
Parallel lines have equal slopes
then the tangent to the parabola with a slope of 10 is required.
the slope of the tangent at any point on the parabola is
differentiate each term using the power rule
(a ) = na , then
= 6x + 2
equating this to 10 gives
6x + 2 = 10 ( subtract 2 from both sides )
6x = 8 ( divide both sides by 6 )
x = =
substitute this value into the equation of the parabola for corresponding y- coordinate.
y = 3( )² + 2
= (3 × ) + 2
= +
=
= 8
the point on the parabola with tangent parallel to y = 10x - 2 is ( , 8 )
36.08 = 8.8t
The distance is a positive because it shows the total distance traveled
36.08 = 8.8t
4.1=t
Answer:
5 4/7
Step-by-step explanation:
2 1/7 + 3 3/7
15/7 + 24/7
39/7
5 4/7
At the beginning it was 22 inches below normal (-22).
Then it decreased by 3 1/6 (-19/6).
Then increased by 1 6/7 (+13/7)
-22 - 19/6 + 13/7
-924/42 - 133/42 + 78/42
-1057/42 + 78/42
-979/42
-23 13/42
It was 23 13/42 inches below normal after April.
Answer:
Option D.
Step-by-step explanation:
The total stock of currency and other liquid instruments circulating in the economy of a country as of a particular time is known as money supply.
If the reserve requirements of banks is least then banks are able to loan more money, that will increases the overall supply of money in the economy.
In 100% reserve banking system, 100% amount of each depositor's funds would be required to keep by bank for immediate withdrawal on demand.
100% reserve banking system is also known as Full-reserve banking system.
It means, if a customer deposits $100 of currency into a bank with 100% reserve banking system, then the money supply remains the same.
Therefore, the correct option is D.