Which of the following rational functions is graphed below?

9514 1404 393

Answer:

Step-by-step explanation:

The limit of any polynomial function at a point is the value of the polynomial at that point. A polynomial is defined and continuous for all values of the independent variable.

The limit of a rational function at a "hole" is the value of the simplified function at that point.

1a) lim = 4+3+2-2 = 7

1b) lim = (3)(-3)(3) = -27

1c) lim = 3^2+9 = 18

1d) lim = (x+4) = 4+4 = 8

1e) lim = 3x+1 = 3(1/3) +1 = 2

1f) lim = x^2/x^2 = 1

_____

The expressions of (e) and (f) can be simplified by factoring the difference of squares: a^2 -b^2 = (a -b)(a +b). In each case, one of the factors cancels the one in the denominator, so the remaining function can be evaluated at the limit point.

As x approaches infinity, the only terms of a rational expression that matter are those of the highest degree in numerator and denominator. (There's a little more to it if the numerator has a higher degree than the denominator.)

Answer:

60 square cm

answer c

Step-by-step explanation:

hsjsbsjsbjzbzjsbjzbshzi

Answer:

A 300 square cm

Step-by-step explanation:

Answer:

correct and incorect

Step-by-step explanation:

Answer:

2 (l+b)= 70

2(l+13)=70

2l+26=70

2l= 44

l=22

Step-by-step explanation:

Hope this helps!!!

Answer:8

Step-by-step explanation:

4x4=16 divided by 2 is 8

Answer:

Step-by-step explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

m = -¹/₂

(2, 3)    ⇒   x₀ = 2,  y₀ = 3

The point-slope form of the equation:

y - 3 = -¹/₂ (x - 2)

So:

y - 3 = -¹/₂ x + 1         {add 3 to both sides}

y = -¹/₂ x + 4            ←  the slope-intercept form of the equation

Answer:

y=58°

Step-by-step explanation:

calculator

Answer: D

Step-by-step explanation:

Answer:

identity property of zero

Step-by-step explanation:Got it right on a test

Answer:

Additive identity property

Step-by-step explanation:

Additive identity is a number, which when added to any number, gives the sum as the number itself. It means that additive identity is “0” as adding 0 to any number, gives the sum as the number itself. For any set of numbers, that is, all integers, rational numbers, complex numbers, the additive identity is 0.

Answer:

X = 10 or scale factor is 2.5

Step-by-step explanation:

first look at the scale factor going from 4 to 10, to get from 4 to 10 you would need to multiply 4 by 2.5. Since this problem doesnt give us the smaller scale factor first we need to divide 25 by 2.5 which equals 10.

Answer:

The answer is "Option C".

Step-by-step explanation:

Please find the correct question in the attached file.

[tex]\to 1 \frac{2}{5} = \frac{7}{5} \\\\let \\ \to \frac{7}{5} =1.4\\\\\to \frac{2}{5}= 0.4\\\\\to 1.4- 0.4\\\\ \to 1\\[/tex]

Its outcome is 1.4 if we subtract from 0.4. However, a fraction of less than 2/5 may be deducted. This means that the outcome still exceeds 1, that's why choice C is correct.

Answer:

f(n) = 2.8n + 0.7

Step-by-step explanation:

The form of the linear function is f(x) = m x + b, where

Let us solve the question

∵ The rule of the arithmetic sequence is a[tex]_{n}[/tex] = 3.5 + 2.8(n - 1), where

→ To write it as a function replace a[tex]_{n}[/tex] by f(n)

∵ a[tex]_{n}[/tex] = f(n)

∴ f(n) = 3.5 + 2.8(n - 1)

→ Simplify the right side to make it in the form of the function above

∵ f(n) = 3.5 + 2.8(n) + 2.8(-1)

→ Remember (+)(-) = (-)

∴ f(n) = 3.5 + 2.8n - 2.8

→ Add the like terms in the right side

∵ f(n) = 2.8n + (3.5 - 2.8)

∴ f(n) = 2.8n + 0.7

Answer:

I believe david lives 34 units away from the school. I cannot see Owen's house. It may be cut off.

Step-by-step explanation:

Answer:

Step-by-step explanation: 25.5

Answer:

Yes.

Step-by-step explanation:

A fourth degree function is defined as a function with a multiplicity of four. This can be done with any number distinct roots less than or equal to four. If the three distinct roots given must be the only roots, we can choose any of the roots to square and make the function a fourth degree polynomial. Otherwise, we can add another root to make a fourth degree polynomial. Either way, it's possible.

Answer:

Perimeter = 60ft = 2(4x + x)

breadth = 6ft

length =  24ft

Step-by-step explanation:

Perimeter = 2 (L + B)

L =length

B = Breadth

x= breadth

4x = length

Perimeter = 60ft = 2(4x + x)

Dividing both sides by 2 :

30ft= 4x + x

30ft = 5x

divide both sides by 5

6ft= x

breadth = 6ft

length = 4x= 4 x 6 = 24ft

Answer:

28.6 inches

Step-by-step explanation:

3 percent of 52 is 1.56 so it is melting at a rate of 1.56 inches per minute

15x1.56 is 23.4

52-23.4=28.6 so after 15 minutes the sculpture will be only 28.6 inches tall

Answer:

The answer is 77.

I hope this helps.

Answer:

ans below

Step-by-step explanation:

your gonna be 13

Answer:

13

Step-by-step explanation:

please mark this answer as brainlest

9514 1404 393

Answer:

  A(x) = x(280 -x)

Step-by-step explanation:

The perimeter is given by the formula ...

  P = 2(L +W)

Using the given values, we can solve for the length of the rectangle:

  560 = 2(L +x)

  280 = L +x

  280 -x = L

The area is the product of length and width, so the area is ...

  A = LW

  A(x) = (280 -x)x

Answer:

The coordinates of point B are: (29,-15)

Option D is correct option.

Step-by-step explanation:

Endpoint of diameter of a circle = A(5,7)

Centre of circle = P(17,-4)

We need to find coordinates of other endpoint of diameter of a circle i.e. B

The formula used is: [tex]Midpoint=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

We are given coordinates of centre (midpoint) P(17,-4)

and A (5,7) x₁=5, y₁=7

We need to find Point B i.e. (x₂,y₂)

Putting values and finding point B

[tex]Midpoint=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\\(17,-4)=(\frac{5+x_2}{2}, \frac{7+y_2}{2})\\We\:can\:write:\\17=\frac{5+x_2}{2}\:and\: -4=\frac{7+y_2}{2}\\17\times 2=5+x_2\:and\: -4\times 2=7+y_2\\34=5+x_2\:and\: -8=7+y_2\\34-5=x_2\:and\: -8-7=y_2\\x_2=29\:and\: y_2=-15[/tex]

so, we get: x₂ = 29 ,y₂ = -15

The coordinates of point B are: (29,-15)

Option D is correct option.

Answer:

i will help plz put the question here copy it so i can help u

Step-by-step explanation:

Answer: y(0.5+7)

= 0.5y+7y

7.5y

Step-by-step explanation:

Answer:

10 5

Step-by-step explanation:

Answer:  Yes

Step-by-step explanation:

First find the unit rate by find the cost per box.

To find the cost per post you will divide the cost by the number of boxes.

5/ 2 = 2.5

7.50/ 3  = 2.5  

2.5  is indeed equal to 2.5 so they are equivalent.

Answer:

1000 less 35% == 650

so 250 given to charity

total cost making the pins was 1000x 1.10 = 1100

so you need to find 60 percent of 650 =390

and 40 percent of 650 = 260

so then you need to find the cost 390 x 3 pounds each so × this and gives you 1170 cost sold for intotal

Then you have 260 ÷2 = 130 x 5 = 650

so you have 650+1170 = 1820 - 1100 cost to make =720 pounds

think this right