3 years ago

Factor out the gcf from each polynomial 30x^2-18x^3+6x^4

Mathematics

1 answer:

inn [45]3 years ago

4 0

Answer:

Step-by-step explanation:

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find the equation for the line that passes through (10, 10) that has slope -1/3. give your answer in point-slope form. you do no

chubhunter [2.5K]

Y - 10 =(-1/3) ( X - 10 )

Y = ( -1/3) X + ( 40/3)

Step-by-step explanation:

Step 1:

The basic form of Slope Intercept equation is

$Y - Y_{1} = m ( X - X_{1})$

Step 2:

Points are (10,10) and m=-1/3

Y-10 = (-1/3)(X-10)

Y = ( (-X + 10 )/3) + 10

Y =( - X / 3 ) +( 40 / 3)

3 0

3 years ago

If a basketball has a volume of 12,114.7 cm3, what is the distance across of a basketball

kirza4 [7]

All we need to do is start with the volume formula. Then, input the volume and solve the equation for the radius. And double it to get the diameter.

V = (4/3)pi(r^3)
12114.7 = (4/3)pi(r^3) Divide both sides by (4/3) and pi
2893.64 = r^3 Take the cube root of both sides
14.25 = r

So the diameter is about 28.5 cm (14.25 x 2 = 28.5)

4 0

3 years ago

Use the following graph of the function f(x) = x3 − 3x2 − x + 3 to answer this question: graph of x cubed minus 3 x squared minu

Marina CMI [18]

The average rate of change is also known as the slope. If we are looking to find the average rate of change between x = -1 and x = 2, in order to find the slope between those 2 x values, we need the y's that go along with them. Fill in -1 for x in the function and solve for y: $(-1)^3-3(-1)^2-(-1)+3=0$ . That means that the coordinate is (-1, 0). Fill in 2 for x in the function and solve for y: $(2)^3-3(2)^2-(2)+3=-3$ . The coordinate there is (2, -3). Now we can set up the slope formula to find the average rate of change between those 2 points: $\frac{-3-0}{2-(-1)}=\frac{-3}{3}=-1$ . Therefore, the average rate of change between x = -1 and x = 2 is -1