MATHEMATICS HIGH SCHOOL

Whats the prime factorization of 30

Answers

Answer 1
Answer:

Answer:

2 x 3 x 5

Step-by-step explanation:
Answer 2
Answer:

Answer:

2 x 3 x 5

Step-by-step explanation:

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A number, twice that number, and one-third of that number are added. The result is 20. What is the number?
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The roots of an equation are x = -1 ± i. The equation is x2 + + 2 = 0.

Answers

im pretty sure its x=-1

Factor the Polynomial using the Grouping Method:
2ax-7a-2bx+7b

Answers

2ax-7a-2bx+7b
1.)multiply the twos together.
4ax-7a-2bx+7b
2.) subtract 4a from 7a
-3ax-2bx+7b
3)Combine like terms
6ax^2+7b

Assuming the average composition of air weighs approximately 0.0807 lbs per cubic foot, what is the weight of air in a giant balloon with a diameter of 6 feet?

Answers

Assuming the balloon is spherical in this occasion :3^2 x pi = 23.37 (ish)23.37 x 6 = 140.22 (ish)140.22 x 0.0807 = 11.315754 (ish)(ish) is explained by my use of piAnd I was also unsure of the unit the diameter was measured

What is the end behavior of the graph of the polynomial function f(x) = 2x3 – 26x – 24?

Answers

Answer: The end behaviour to the left is decreasing and to the right is increasing

The end behaviour of a polynomial function depends on the degree "n" of the polynomial ("n" even or odd) and the sign on the leading coefficient (the coefficient of the "x" has the biggest exponent):
For even degree polynomial (biggest exponent "n" even) and leading coefficient positive the end behaviour is increasing in both ends; and for leading coefficient negative the end behaviour is decreasing in both ends.
For odd degree polynomial (biggest exponent "n" odd) and leading coefficient positive the end behavior to the left is decreasing and the end behaviour to the right is increasing; for leading coefficient negative, the end behaviour to the left is increasing and the end behaviour to the right is decreasing.

In this case the degree of the polynomial (biggest exponent) is n=3 (odd) and the leading coefficient (the coefficient of the "x" has the biggest exponent) is 2 (positive), then the end behaviour to the left is decreasing and to the right is increasing

Answer:A

Step-by-step explanation: jus took it

a on edge

solve by substitution ( show steps)

y=3x+2

3x-y=2


Answers

\left\{\begin{array}{ccc}y=3x+2\n3x-y=2\end{array}\right\n\nsubstitute\n\n3x-(3x+2)=2\n3x-3x-2=2\n-2=2-FALSE\n\nAnswer:No\ solution
y=3x+2\n 3x-y=2\n\n 3x-(3x+2)=2\n 3x-3x-2=2\n -2=2\n x\in\emptyset \Rightarrow y\in\emptyset

Find the standard form of the equation of the parabola with a focus at (0, -2) and a directrix at y = 2.

Answers

Answer:

y=-(1)/(8)x^2

Step-by-step explanation:

Find the standard form of the equation of the parabola with a focus at (0, -2) and a directrix at y = 2

The distance between the focust and the directrix is the value of 2p

Distance beween focus (0,-2) and y=2 is 4

2p=4, p=2

The distance between vertex and focus is p that is 2

Focus is at (0,-2) , so the vertex is at (0,0)

General form of equation is

y-k=-(1)/(4p)(x-h)^2

where (h,k) is the vertex

Vertex is (0,0) and p = 2

The equation becomes

y-0=-(1)/(4(2))(x-0)^2

y=-(1)/(8)x^2
Hello,
The parabola having like focus (0,p/2) and as directrix y=-p/2 has as equation x²=2py

Here -p/2=2==>p=-4

x²=-8y is the equation.
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