Answer:
Volume = (24x⁵ + 78x⁴ - 147x³ - 624x² - 360x)
Step-by-step explanation:
Container given in the picture is in the shape of a cuboid.
And volume of a cuboid is measured by the expression,
Volume of a cuboid = Length × width × height
Now substitute the measure of the container's dimensions given in the picture
Volume = (4x² + 3x)(x²- 8)(6x + 15)
= [(4x² + 3x)(x²- 8)](6x + 15)
= [4x²(x² - 8) + 3x(x² - 8)](6x + 15)
= (4x⁴ - 32x² + 3x³ - 24x)(6x + 15)
= (4x⁴ + 3x³ - 32x² - 24x)(6x + 15)
= 6x(4x⁴ + 3x³ - 32x² - 24x) + 15(4x⁴ + 3x³ - 32x² - 24x)
= 24x⁵+ 18x⁴ - 192x³ - 144x² + 60x⁴ + 45x³ - 480x² - 360x
= 24x⁵ + 78x⁴ - 147x³ - 624x² - 360x
Answer:
104x + 52
None of the expressions listed are equivalent to 52(2x + 1)
Step-by-step explanation:
52(2x + 1)
Apply the distributive law: a(b + c) = ab + ac
⇒ 104x + 52
Therefore, 52(2x + 1) = 104x + 52
Answer: questions one and two
Step-by-step explanation:
2 (x - 5) = 8
To solve, you use the distributive property as shown below!! :)
2x - 10 = 8
2x = 18
x = 9
Hope this helped you :)
It is exponentially each time you are dividing by 4/3
