Answer:
(g - f)(x) = 3x - 33
Step-by-step explanation:
Arrange f(x)= 2x + 13 and g(x) = 5x -20 vertically as shown below:
g(x) = 5x - 20
-f(x) = -2x - 13
----------------------
(g - f)(x) = 3x - 33
<span>Amount
of Rice (cups) Amount of Water (cups)
2 5
3 7.5
5 12.5
8 20
Let's find the ratio of rice and water:
5 / 2 = 2.5 => 2 * 5 = 5
7.5 / 3 = 2.5 => 3 * 2.5 = 7
12.5 / 5 = 2.5 => 5 * 2.5 = 12.5
20 / 8 = 2.5 => 8 * 2.5 = 20
So, as the ratio of water ot rice is constant, and the first variable is the amount of rice, you can calculate the amount of water given the amount of rice.
So, the amount of rice is independent value and the amount of water is dependent (it depends on the amount of rice).
The amount of rice is
the dependent value. FALSE
The amount of water is the dependent value.TRUE
The
amount of rice is the independent value. TRUE
The amount of water is the
independent value.</span>FALSE
Answer:
the surface area should be 544 (whatever the unit is)
Step-by-step explanation:
You start by taking the rectangles on the side and finding their area.
1. (10×14)×2 ←Because there are two rectanglular sides.
2. find the area of the triangles on the side. 1/2bh = area of triangle.
(.5×8×6)×4 ← in order to find the area for all of the triangles.
3. lastly take the base of the prism and find the area then add the previously found values together.
(12×14)+(.5×8×6)×4+ (10×14)×2 = 544
Answer:
17 feet
Step-by-step explanation:
A right angle has 3 sides: the adjacent, the opposite and the hypotenuse.
The hypotenuse is the largest side of the right angle
The shorter sides are 15 feet and 8 feet which should represent opposite and adjacent sides respectively
Opposite = 15 feet
Adjacent = 8 feet
Hypotenuse = x feet
Using Pythagoras theorem to solve
Hypotenuse ² = opposite ² + adjacent ²
x² = 15² + 8²
x² = 225 + 64
x² = 289
Find the square root of both sides
√x² = √289
x = 17 feet
The 3rd side is 17 feet
