Answer:
bags of snack = x = 6
bottles of water = y = 5
Step-by-step explanation:
The system of equations can be used to determine how many of each item they bought.
20.00=2.50x+1.00y
11=x+y
how many bags of snack mix did they buy?
Let
bags of snack = x
bottles of water = y
20.00 = 2.50x + 1.00y (1)
11 = x + y (2)
From (2)
x = 11 - y
Substitute x = 11 - y into (1)
20.00 = 2.50x + 1.00y
20.00 = 2.50(11 - y) + 1.00y
20.00 = 27.5 - 2.50y + 1.00y
20.00 - 27.5 = -2.50y + 1.00y
-7.5 = -1.5y
y = -7.5/-1.5
y = 5
Substitute y = 5 into (2)
11 = x + y
11 = x + 5
11 - 5 = x
x = 6
bags of snack = x = 6
bottles of water = y = 5
Area = 91 in²
Step-by-step explanation:
Hope it helps you!
Answer:
Volume of solid = 737 cm³ (Approx)
Step-by-step explanation:
Given:
Radius r = 4 cm
Length of cylinder = 12 cm
Find:
Volume of solid
Computation:
Volume of solid = Volume of hemisphere + Volume of cylinder
Volume of solid = (2/3)πr³ + πr²h
Volume of solid = (2/3)π(4)³ + π(4)²(12)
Volume of solid = 134 + 603
Volume of solid = 737 cm³ (Approx)
Remember that to find the vertical asymptotes of rational functions, we just need to set the denominator equal to zero and solve for the variable, in this case
, so lets do it:
As you can see, our rational functions has
2 vertical asymptotes: 
and
Answer:
Step-by-step explanation:
Remark
f(x) = 9x^2 - 5x + 3 is given. The notation means that wherever you see and x on the right, you replace it with the x in the brackes on the left. f(3) is a direction, not anything you have to adjust or manipulate.
Solution
f(-3) = 9*(-3^2) - 5*(-3) + 3 (-(3))^2 = -3 * -3 = 9 two minuses make a +
f(-3) = 9*(-3)(-3) + 15 + 3 -3 times an operation of minus equals a +
f(-3) = 9 * 9 + 15 + 3
f(-3) = 81 + 15 + 3
Answer: f(-3) = 99
