A baseball manager bought 4 bats and 9 balls for $76.50. On another day, she bought 3 bats and a dozen balls at the same prices and paid $81.00. How much did she pay for each bat and each ball. Write a system of equations in order to solve this problem.

bat, $9.00; ball, $4.50

Step-by-step explanation:

Unit cost of bat (y) in terms of unit cost of ball (x)—2 equations combined:

4y + 9x - 3y - 12x = $76.50 - $81.00

y = 3x - $4.50  

Price of a ball (x)—1st equation, substitute y:

4(3x - $4.50) + 9x = $76.50

12x - $18.00 + 9x = $76.50

21x = $94.50

x = $4.50

Cost of a bat—2 equations combined:

= 3($4.50) - $4.50

= $13.50 - $4.50

= $9.00

when studying polynomials, you often hear the terms zeros, roots, factors and x x the multiplicity of a zero is important because it tells us how the graph of the let's look at the graph of a function that has the same zeros

step-by-step explanation:

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w