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algol [13]
2 years ago
15

How to factor 9X^3-27

Mathematics
1 answer:
azamat2 years ago
4 0
You will find teh GCF of that this will give you 9(x3-3) now you can fator it teh factors of these can be (x2+1) and (x-3)
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A cylindrical pressure vessel has a height of 9 feet and a diameter of 6 feet. How much gas can the pressure vessel hold when fu
notka56 [123]

since the diameter of the base of the cylinder is 6 feet, then its radius is half that, or 3 feet.


\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h~~
\begin{cases}
r=radius\\
h=height\\[-0.5em]
\hrulefill\\
r=3\\
h=9
\end{cases}\implies V=\pi (3)^2(9)\implies V=81\pi

5 0
2 years ago
Read 2 more answers
Help please: A bus and a train leave a station at the same time, t = 0. The graph shows the bus's distance to the next station o
Nonamiya [84]

Answer:

y = (5/2)x + 20

Step-by-step explanation:

Since the bus and train are both at the station at time 0, the y-intercept for the new equation is 20. That is one point on the new graph: (0,20) The question said that the train travels faster, that means it spends less time getting to the next station. The existing graph shows the bus got to the next station in 10 minutes, so maybe the train got there in 8 minutes. So another point on the graph is (8,0) We can use a slope formula to calculate the slope of a new line. Or just count squares on the graph (se image) to find the slope. Slope tells how steep a line is, whether the line is going up or down, but also the slope is like directions how to get from one point to another point on the line.

All you need to write an equation is the slope, m and the y-intercept, b and fill those two numbers into the formula y=mx+b Here slope is 5/2 and y-intercept is 20. So you get

y=(5/2)x +20

5 0
2 years ago
Solve (x+y) if x=-1/2 and y=-3
bixtya [17]

Answer:

-3\frac{1}{2}

Step-by-step explanation:

Solve

(x+y)

For x=-1/2 and y=-3

substitute the value of x and the value of y in the expression above

x+y=(-\frac{1}{2})+(-3)

Remember that

(+1)(-1)=-1

so

x+y=-\frac{1}{2}-3=\frac{-1-6}{2}=-\frac{7}{2}

Convert to mixed number

-\frac{7}{2}=-\frac{6}{2}-\frac{1}{2}=-3\frac{1}{2}

7 0
3 years ago
Which represents the solution of –9.5 + 6x ≥ 42.1 using interval notation?
OlgaM077 [116]
Hello : 
<span>–9.5 + 6x ≥ 42.1
6x </span>≥ 42.1 + 9.5
6x ≥ 51.6
x ≥ 51.6/6
x ≥ 8.6
using interval notation: <span>[8.6  ; +∞[ </span>
5 0
3 years ago
Is this employee correct? please help and explain your thinking.
e-lub [12.9K]

Answer: yes it is

Step-by-step explanation:

7 0
2 years ago
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