Answer:
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Step-by-step explanation:
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
This question is about how transformations can affect graphs.
First, we'll want to get rid of that -4 on the function of F.
So we can reflect the function over the y-axis and then compress it by a factor of 4 to make the graph
.
Then we can move the graph over to the left 3 because the c value is positive, meaning that we move the graph over to the left.
Finally, we can move the function of by
because the d value is positive, meaning that we move the graph up.
Hope this helps.
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Yes, it's possible for the rounded number to have six digits. For example - if you round 99999 to the 10000 place then you'll get 100000, which is a 6-digit number :)