2x²(3x - 5y) - 5x² (2x – 7y)

Mathematics

1 answer:

damaskus [11]4 years ago

8 0

Answer:

−4x^3+25x^2y

Step-by-step explanation:

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Morton needs to have his car repaired. The auto repair shop charges a fixed dollar amount for labor, plus another dollar amount

Mrrafil [7]

The y-intercept of the function is $50 and it represents the fixed amount for the labor charges.

<h3>How to find the y-intercept of a graph?</h3>

From the attached graph, we see that the x-axis is represented by time in hours while the y-axis is represented by labor charges in dollars.

Now, from the graph we see that the coordinates are;

(0, 50), (1, 125), (2, 200), (3, 275), (4, 350)

Now, the y-intercept of a linear graph is simply the point at which the graph crosses the y-axis.

In this graph attached, we see that the y-intercept is at the coordinate (0, (0, 50).

Thus, we conclude that the y-intercept of the function is $50 and it represents the fixed amount for the labour charges.

Read more about y-intercept at; brainly.com/question/26509774

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4 0

2 years ago

Item 18 A spherical ball with a volume of 972π in.3 is packaged in a box that is in the shape of a cube. The edge length of the

alexandr402 [8]

Check the picture below.

so, the diameter of the sphere, is the same as a side's length of the cube, bearing in mind that all sides in a cube are the same length.

since all sides in the cube are "d", then its volume is V = d*d*d or V = d³.

$\bf \textit{volume of a sphere}\\\\
V=\cfrac{4\pi r^3}{3}~~
\begin{cases}
r=radius\\
-----\\
V=972\pi 
\end{cases}\implies 972\pi =\cfrac{4\pi r^3}{3}\implies 2916\pi =4\pi r^3
\\\\\\
\cfrac{2916\pi }{4\pi }=r^3\implies 729=r^3\implies \sqrt[3]{729}=r\implies \boxed{9=r}$

since the diameter is twice as much as the radius, thus d = 2r, or namely d = 18.

therefore, the volume of the cube will be V = 18³.