Gradient = 

This means the gradient is 4x.
The y intercept is where the line crosses the y axis. We can see this is at -3.
<h2>
Rule: <u>y = 4x -3</u></h2>
Substitute your values to check if it's right.
y = 4x -3
5 = 4(2) - 3
5 = 8 - 3
5 = 5
1 = 4(1) - 3
1 = 4 - 3
1 = 1
Let n = number of nickels, and p = number of pennies.
The number of coins is 25, so we get this equation.
n + p = 25
The value of the coins is 0.05 per nickel, and 0.01 per penny.
0.05n + 0.01p = 0.73
Now you have a system of equations.
n + p = 25
0.05n + 0.01p = 0.73
Solve the first equation for n:
n = 25 - p
Now substitute into the second equation.
0.05(25 - p) + 0.01p = 0.73
1.25 - 0.05p + 0.01p = 0.73
-0.04p = -0.52
p = 13
There were 13 pennies.
Now we substitute 13 for p in n + p = 25 to find out the number of nickels.
n + 13 = 25
n = 12
There are 13 pennies and 12 nickels.
Check: 13 pennies and 12 nickels does total 25 coins.
13 * 0.01 + 12 * 0.05 = 0.13 + 0.60 = 0.73
The value is $0.73.
Our answer is correct.
Answer:
The coordinates of the midpoints are D(1.5, 2.5) and E(3.5, 2.5).
Step-by-step explanation:
plato
Answer:
0 ( zero) is a number, and the numerical digit used to represent that number in numerals. It fulfills a central role in mathematics as the additive identity of the integers, real numbers, and many other algebraic structures. As a digit, 0 is used as a placeholder in place value systems.
Step-by-step explanation:
) y2 = 4x
differenting both side with respect to x
dy²/dx=d4x/dx
2y dy/dx=4
dy/dx=4/2y=2/y