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pogonyaev
3 years ago
12

The expression 1/3b−1/3 factored is

Mathematics
2 answers:
expeople1 [14]3 years ago
6 0
(1/3)(b-1) is the simplest set of factors.

artcher [175]3 years ago
5 0

Answer:

\frac{1}{3}[b-1]

Step-by-step explanation:

we have

\frac{1}{3}b-\frac{1}{3}

Factor the coefficient \frac{1}{3} of both terms

\frac{1}{3}b-\frac{1}{3}=\frac{1}{3}[b-1]

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Match the surfaces with the verbal description of the level curves by placing the letter of the verbal description to the left o
irakobra [83]

Answer:

Step-by-step explanation:

1. (2/z)x^2 + (3/z)y^2 is an equation for an ellipse, so the answeris A.

2. We can rewrite this as x^2 + y^2 = 25 - z^2. This is theequation for a circle, so the level curves are circles. However,they are unevenly spaced, because the radius of each circle issqrt(25-z^2). So the answer is F.

3. Rewriting, we have y = z/x. This is the equation of a hyperbola(except when z = 0). So the answer is B.

4. Rewriting, we have x^2 + y^2 = z^2. This is the equation for acircle of radius z, so the level curves are evenly spaced circles.The answer is C.

5. Solving for x, we have x = 1 + 1/z. These level curves arevertical lines, which are obviously parallel. However, they areunequally spaced, since the distance between them gets smaller as zgets larger. The answer is E.

6. x^2 + y^2 = z is the equation for a circle of radius sqrt(z).They are unevenly spaced once again, because the radii do notincrease linearly with z. The answer is F.

7. Solving for y gives: y = (-2/3)x + z/3. This is the equation fora line of slope -2/3 with y-intercept z/3. These are parallelbecause they all have the same slope, and evenly-spaced becauseeach time we increase z by 1 the y-intercept moves up by 1/3. Theanswer is D.

6 0
3 years ago
What is the Slope and y intercept
Inessa [10]

Answer:

The slope is .075 and the y intercept is -.125

Step-by-step explanation:

8y = .2(3x -5)

Distribute the .2

8y = .6x - 1

Divide by 8

8y/8 = .6x/8 -1/8

y = .075x -.125

This is in slope intercept form  y= mx+b  where m is the slope and b is the y intercept.

The slope is .075 and the y intercept is -.125

5 0
3 years ago
PLEASE HELP PRE CAL!!
Len [333]

Answer:

Width = 2x²

Length = 7x² + 3

Step-by-step explanation:

∵ The area of a rectangle is 14x^{4}+6x^{2}

∵ Its width is the greatest common monomial factor of 14x^{4} and 6x²

- Let us find the greatest common factor of 14 , 6 and x^{4} , x²

∵ The factors of 14 are 1, 2, 7, 14

∵ The factors of 6 are 1, 2, 3, 6

∵ The common factors of 14 and 6 are 1, 2

∵ The greatest one is 2

∴ The greatest common factor of 14 and 6 is 2

- The greatest common factor of monomials is the variable with

   the smallest power

∴ The greatest common factor of x^{4} and  x² is x²

∴ The greatest common monomial factor of  14x^{4} and 6x² is 2x²

∴ The width of the rectangle is 2x²

To find the length divide the area by the width

∵ The area = 14x^{4}+6x^{2}

∵ The width = 2x²

∴ The length = ( 14x^{4}+6x^{2}) ÷ (2x²)

∵  14x^{4} ÷ 2x² = 7x²

∵ 6x² ÷ 2x² = 3

∴ ( 14x^{4}+6x^{2}) ÷ (2x²) = 7x² + 3

∴ The length of the rectangle is 7x² + 3

8 0
3 years ago
I can't figure out how to do <br> -5+x/3=-11
-BARSIC- [3]
Add 5 to both sides
5-5+x/3=5-11
0+x/3=-6
x/3=-6
times both sides by 3
3x/3=-18
x=-18
3 0
3 years ago
Match eith the appropiate property:​
kotykmax [81]

Answer:

Commutative property of multiplication.

Step-by-step explanation:

This property says that changing the order of factors doesn't change the product.

Here 5×3 will be 15..... If we interchange the places of 3 & 5 , still then the product will remain same i.e. 3×5 = 15

3 0
3 years ago
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