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2 years ago

Help pls!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

skad [1K]2 years ago

8 0

The denominator factors to (x+1)(x-1), so the function reduces to
h(x) = (x+1)/(x-1)
This has a vertical asymptote at x=1, where the denominator is zero. It has a horizontal asymptote at y = x/x = 1. The appropriate choice is
c. x=1, y=1

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The volume of a rectangular prism is b3 + 8b2 + 19b + 12 cubic units, and its height is b + 3 units. The area of the base of the

omeli [17]

Given:

The volume of the rectangular prism is

$b^{3}+8 b^{2} +19b+12$ ,

the height is h=(b+3)

1. The volume of a rectangular prism is (base area)*height

also, notice that the volume is a third degree polynomial, the height is a 1st degree polynomial, so the base area must be a 2nd degree polynomial, whose coefficients we don't know yet.
Let this quadratic polynomial be $(mb^{2}+nb+k)$

2

$b^{3}+8 b^{2} +19b+12=(mb^{2}+nb+k)*(b+3)$

notice that $b^{3}$ is the product of the largest 2 terms: $mb^{2}$ and b, so m must be 1

also, notice that 12 is the product of the constants, k and 3

so k*3=12, this means k=4

3
we write the above equality again:

$b^{3}+8 b^{2} +19b+12=(b^{2}+nb+4)*(b+3)$

$(b^{2}+nb+4)(b+3)= b^{3}+3 b^{2} +nb^{2}+3nb+4b+12$

= $= b^{3}+(n+3)b^{2}+(3n+4)b+12$

4
now compare the coefficient with the left side:

$8 b^{2}=(n+3)b^{2}$

8=n+3

n=5

substituting n=5:

the base area is $b^{2}+5b+4$

Answer: $b^{2}+5b+4$

3 0

2 years ago

1/4+2/3-1/2= how do I solve this

Ann [662]

Answer:

5/12

Step-by-step explanation:

First you add 1/4+2/3.

You need to change the denominator so that they are equal to each other

If you multiply the 1/4 by 3/3 you will get 3/12 which is equal to 1/4

Then you need to do the same to 2/3. This time you need to multiply it by 4/4 to get the same denominator which will be 2/3*4/4=8/12

Then you add 3/12+8/12=11/12. You don't need to add the denominator.

After this you will need to subtract 11/12 and 1/2. This time you need to only change the denominator for 1/2.

You multiply the denominator and numerator by 6/6 to 1/2 and you will get 6/12 then you are going to subtract 11/12-6/12 and you will get 5/12

6 0

2 years ago

What r the answers to these questions(picture above)?PLEASE HELP

kirill [66]

Problem 3

The constant term is 290. This is the term that stays the same no matter what the value of 'a' happens to be. Contrast this with the variable term 2.50a which changes if 'a' changes (hence the name "variable" for "vary" or "change")

If Mike sold 0 accessories, then a = 0 and the expression would be

2.50*a + 290 = 2.50*0 + 290 = 290

Selling 0 accessories leads to $290. This is the amount he is guaranteed with the 2.50a portion being additional money to motivate him to sell more.

------------

Answer: Choice (3) 290, amount he is guaranteed

======================================

Problem 4

Plug y = 0 into the equation. Solve for x

9x - 14y = -3

9x - 14*0 = -3 .... replace y with 0

9x - 0 = -3

9x = -3

9x/9 = -3/9 ... divide both sides by 9

x = -3/9

x = -1/3

------------

Answer: Choice (3) which is -1/3

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2 years ago

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alexandr1967 [171]

8.40/3 = £2.80 each
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2 years ago

What are the characteristics of a quadrilateral?

gregori [183]

Answer:

Most known one: 4 sides

Step-by-step explanation:

They are closed shapes, their sides should be straight, they are strictly 2 dimensional, and finally, all quadrilaterals have 4 sides.

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2 years ago