Answer:
12πx⁴, 15x⁷, 16x⁹
Step-by-step explanation:
Volume of a cylinder: πr²h
Volume of a rectangular prism: whl
Plugging in variables for the volume of a cylinder, we get: 3x²·(2x)²·π
3x²·(2x)² = 3·2·2·x·x·x·x
= 12·x⁴
=12x⁴
Now, we just multiply that by π.
12x⁴·π = 12x⁴π
A monomial is a 1-term polynomial, so 12x⁴π is a monomial.
Plugging in variables for the volume of a rectangular prism, we get: 5x³·3x²·x²
5x³·3x² = 5·3·x·x·x·x·x
= 15·x⁵
= 15x⁵
Now, we just multiply that by x².
15x⁵·x²
= 15·x·x·x·x·x·x·x
= 15·x⁷
=15x⁷
A monomial is a 1-term polynomial, so 15x⁷ is a monomial.
Same steps for the last shape, another rectangular prism:
2x²·2x³·4x⁴
2x²·2x³
= 2·2·x·x·x·x·x
= 4·x⁵
= 4x⁵
Now, we just multiply that by 4x⁴.
4x⁵·4x⁴
= 4·4·x·x·x·x·x·x·x·x·x·
= 16·x⁹
= 16x⁹
A monomial is a 1-term polynomial, so 16x⁹ is a monomial.
Answer:
x = 2
Step-by-step explanation:
2(2x+1-x)=6
2(x+1)=6 add common factors
2x+2=6 distribute the 2
2x=4 subrtract 2 on both sides
x=2 divide 2 on both sides
Answer:
the solution set consists of {x < -2 ∪ x > 10/3}
Step-by-step explanation:
|3x - 2| > 8 is equivalent to the following set of inequalities:
1) 3x - 2 > 8
and
2) -(3x - 2) > 8
In case 1, above, add 2 to both sides, obtaining 3x > 10, or x > 10/3.
In case 2, above, carry out the indicated multiplication first:
-3x + 2 > 8. Next, subtract 2 from both sides: -3x > 6.
Next, divide both sides by -3, remembering to reverse the direction of the inequality sign: x < -2.
Thus, the solution set consists of {x < -2 ∪ x > 10/3}
A:1500 x 2.99 +200= $4685
1500 ft^2=166.67 yard^2
B: 166.67 x 19.99+500= $3831.7333
= $3831.75
Company B is the better deal
The sum of angles in a quadrilateral = 360 degrees.
Let the fourth angle be x:
Therefore: 60 + 95 + 150 + x = 360
305 + x = 360
x = 360 - 305
x = 55
Option B. I hope this helps.
