need help with problem.

Answer: (b)

Step-by-step explanation:

Given

The function is given as

[tex]f(x)=\dfrac{x^2-12x+20}{x-2}[/tex]

Solving the function

[tex]f(x)=\dfrac{x^2-2x-10x+20}{x-2}\\\\f(x)=\dfrac{(x-2)(x-10)}{(x-2)}\\\\f(x)=x-10[/tex]

for [tex]x=2[/tex]

[tex]f(2)=2-10\\f(2)=-8[/tex]

The function is continuous at [tex]x=2[/tex] because [tex]\lim_{x \to 2} f(x)[/tex] exists.

If the limit exists at a point, then the function is continuous.  

Answer:

on edge its fs not b or c

Step-by-step explanation:

Answer:

X = 65 degrees

Step-by-step explanation:

180 = 70 + 45 + X

180 = 115 + X

X = 65 degrees

Answer:

The second answer choice is right

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

A triangular prism is described as a triangle stretched on the third dimension, so the bottom of it will be a square or a rectangle. Two of the sides will also be squares or rectangles. B is the only option that applies to BOTH of these requirements.

Answer:

B

hope it helped !!

Answer: 44.59 or 44.6

Step-by-step explanation:

30^2+33^2= 900+ 1089

= 1989^2

square root = 44.6

hope this helps

Answer:

oh no

Step-by-step explanation:

sorry about that I guess

Answer:

26 customers

Step-by-step explanation:

First:  determine the z score from standard normal probability table with an indicative area of 0.1

Z-score from probability table  = - 1.28

mean   = 3.5 minutes

std  = 3 minutes

next determine the Z-score based on the information given in the question

Z = ( std -  mean )  / processing time

  = ( 3 - 3.5 ) / 2 = -0.25

Finally determine the number of customers

N = [tex](\frac{-1.28}{-0.25} )^2[/tex]  = 1.6384 / 0.0625 = 26.21 ≈ 26 customers  

Answer:

Step-by-step explanation:

y = x^2 - 2x - 4

Convert to vertex form:

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

y = (x - 1)^2 - 5

From this we conclude that there is a minimum vertex at (1, -5). It is a minimum because the coefficient of x^2 is positive.

It looks like a letter U  and its symmetrical about the line x = 1.

You can plot 3 more points at say, where x = -2  ( and y = (-2)^2 - 2(-2) - 4)

and x = 4 ( y = 4^2 - 2(4) - 4 ) . Also where x = 0 and y = -4.

then draw the graph through these 3 points and the vertex.

Answer:

you should multiply or add

Step-by-step explanation:

Answer:

A) 81 sq units

Step-by-step explanation:

Area of a trapezoid = one-half of height multiplied by the sum of the bases (the bases are the parallel sides)

the problem gives us all the values we need:

height = 9

smaller base is 'x' which is 7

larger bases is 2y+x which is 2(2)+7 = 11

A = 1/2·(9)(7+11)

= 1/2·9·18

= 9·9 which is 81 sq units

Answer:

36

Step-by-step explanation:

3(15.9 - 3.9)

3 · (15.9 - 3.9)

3(15.9) - 3(3.9)

47.7 - 3(3.9)

47.7 - 11.7

36

Answer:

I believe the answer is 15

Step-by-step explanation:

15.9 - 3.9 (line up the decimals correctly)

then subtract it and you get 12.0

add 12.0 + 3 (under the 2)

12.0

+3

and you get 15 as your answer :)

Answer:

Since there are 7.5 gallons in each cubic foot, multiply the cubic feet of the pool by 7.5 to arrive at the volume of the. 3.14 x 25 ft x 3 ft x 7.5 = 1766.25 gallons

Step-by-step explanation:

Answer:

11.17

Step-by-step explanation:

arc length = 2πr(θ/360)

= 2π(8)(80/360)

= 11.1701072...

= 11.17 to nearest hundredth

Answer:

9

Step-by-step explanation:

Substitute 8 in place of x

f(x) = 2*8-7

f(x) = 9

Answer:

9

Step-by-step explanation:

plug in 8 where x is so it would look like

2(8)-7 = 9

do 2 *8 first which is 16

then do 16-7 which gives you 9

Answer:

I think the answer is 3:5

Answer:

3.5

Step-by-step explanation:

Answer:

XY is a tangent

Step-by-step explanation:

Given

[tex]XY = 12[/tex]

[tex]WY = 20[/tex]

[tex]WZ = 8[/tex]

Required

Is XY a tangent?

XY is a tangent if:

[tex]WY^2 = XY^2 + WX^2[/tex]

Because XY should make a right angle at point X with the circle

Where

[tex]WX = 2 * WZ[/tex]

So, we have:

[tex]WY^2 = XY^2 + WX^2[/tex]

[tex]WY^2 = XY^2 + (2*WZ)^2[/tex]

[tex]WY^2 = XY^2 + (2WZ)^2[/tex]

[tex]WY^2 = XY^2 + 4WZ^2[/tex]

This gives:

[tex]20^2 = 12^2 + 4*8^2[/tex]

[tex]400 = 144 + 256[/tex]

[tex]400 = 400[/tex]

Yes, XY is a tangent

Answer:

7/3

Step-by-step explanation:

7 is in numerator's and 3 is in denominator's position.

Answer:

P=34ft

Step-by-step explanation:

Solution

P=2(l+w)=2·(12+5)=34ft

Answer: Prism

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

I think it depends how far bill wants to hike..

Step-by-step explanation:

Answer: 200cm

Calculation: 15cm times 8=120

20cm times 4= 80

Add 120+80= 200cm

Answer:

I believe it would be "505 times n"

Step-by-step explanation:

If tis is not what you are looking for I am sorry, but the question was vague.

Answer:

Yes the bots answer was deleted!

Anyways x = 29 because 29 + 151 = 180

Hope that helps!

Answer: If a parallelogram has diagonals that are perpendicular, it is a rhombus. … This definition can also be stated as: A square is a quadrilateral that is also a rectangle and a rhombus.

Step-by-step explanation:

Answer:

y= 12x

Step-by-step explanation:

36/3=12

12× x =y

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