How to i expand this ? x3 (3x - 5)

Mathematics

1 answer:

Nikitich [7]3 years ago

5 0

Use the distributive formula

a(b - c) = ab - ac

$x^3(3x - 5) = \boxed{\bf{3x^4 - 5x^3}}$

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If 2/3 of the distance from the y-axis to point A (−30, −45) is equal to 1/4 of the distance from the x-axis to point B(5a, 2a),

Aliun [14]

Answer:

The value of a is 80

Step-by-step explanation:

The distance of a point $(x_o,y_0)$ from the y-axis can be written as $d_y=|x_o|$ because the x-coordinate of the y-axis is zero.

Similarly, the distance of a point from the x-axis can be written as $d_x=|y_0|$

since the y-coordinate of the x-axis is zero.

In this problem:

- The distance of the point A (−30, −45) from the y-axis can be written as

$d_A=|-30|=30$

- The distance of point B (5a,2a) from the x-axis can be written as

$d_B=|2a|=2a$

Since $a>0$

We are told that 2/3 of the distance from the y-axis to point A (−30, −45) is equal to 1/4 of the distance from the x-axis to point B(a, a), which means

$\frac{2}{3}d_A=\frac{1}{4}d_B$

Therefore,

$\frac{2}{3}(30)=\frac{1}{4}(2a)$

And solving for a,

$20=\frac{1}{2}a\\a=40$

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2 years ago

I need help on this question

dem82 [27]

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3 years ago

Y=5•(0)<br> Which graph represents the function<br> ?

Juli2301 [7.4K]

Answer:
The graph that represents the function should look like the image I attached. To graph the function simply multiply five by zero to find the value of y. Once you see that the value of y is zero graph the y-intercept at (0, 0). Finally, you draw a horizontal line from the y-intercept.