Answer:
(x - 2)(x + 1)(2x -1)
Step-by-step explanation:
We use synthetic division as a tool for factoring the given expression. The coefficients of the terms given are {2, -3, -3, 2}. If x - 2 is a factor of this expression, then 2 is a root. We perform synthetic division as follows:
2 / 2 -3 -3 2
4 2 -2
-------------------------------
2 1 -1 0
Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s). Using -1 as divisor, we get:
-1 / 2 1 -1
-2 1
---------------------
2 -1 0
Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor. Answer D is correct.
Answer:
- Mass
- Surface area
- Volume
Step-by-step explanation:
The size of a surface. The amount of space inside the boundary of a flat (2-dimensional) object such as a triangle or circle, or surface of a solid (3-dimensional) object
<u>Mass </u>
A property of a physical body and a measure of its resistance to acceleration when a net force is applied.
<u>Surface </u>
The area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
<u>Volume </u>
The Measure of the amount of space that a substance or an object takes up.
Answer: for every 3 triangles there are 5 squares. not 4. so the ratio is 3:5.
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Answer:
V= 7,241.1
Step-by-step explanation:
V = 4/3 × π × r^3
V = 4/3 × 22/7 × 1,728
V = 88/21 × 1,728
V = 4.190 × 1,728
V= 7,241.1
Answer:
- The total Minutes of the tasks involving animals.-D+F (Dog and fish)
- The total Minutes of the tasks not involving animals.-G (Garden)
- The total Minutes of the Inside tasks.-F (Fish)
- The total Minutes of the Outside tasks.-G+D (Garden and Dog)
Step-by-step explanation:
Given that:
- D = number of minutes it takes to walk his dog
- G = number of minutes it takes to water the garden; and
- F = number of minutes it takes to feed his fish
We want to match the given situations to its respective expressions:
Situation
- The total Minutes of the Inside tasks.
- The total Minutes of the Outside tasks.
- The total Minutes of the tasks involving animals.
- The total Minutes of the tasks not involving animals.
Expression
- D+F
- G+D
- G
- F
The match of the situation and respective expressions are:
- The total Minutes of the tasks involving animals.-D+F (Dog and fish)
- The total Minutes of the tasks not involving animals.-G (Garden)
- The total Minutes of the Inside tasks.-F (Fish)
- The total Minutes of the Outside tasks.-G+D (Garden and Dog)
