Which of the following represents the ratio of the short leg to the hypotenuse
in the right triangle shown below?

The answer is "[tex]\bold{x^3-4x^2-29x-24, y=x-3,\ and\ x=2}[/tex]" and following are the complete solution to the given parts:

For point A)[tex]\to \bold{f(x)=(x-8)(x+1)(x+3)=(x^2-7x-8)(x-8)=(x^3-4x^2-29x-24)}[/tex]For point B)

[tex]\to \bold{x^2-x-2=(x-2)(x+1)}\\\\\to \bold{g(x)=\frac{(x-8)(x+1)(x+3)}{(x-2)(x+1)}}[/tex]

When  [tex]x \neq -1[/tex] then  

[tex]\to \bold{g(x)=\frac{(x-8)(x+3)}{x-2}}\\\\\to \bold{\lim_{n \to \infty} \frac{g(x)}{x}}[/tex]

So  

For point C)

It is discontinuity when a [tex]\bold{x=2}[/tex] that is a vertical asymptote.

Learn more:

brainly.com/question/24520259

Answer:

Part A:

x^3 - 4x^2 - 29x -24

(x + 1)(x - 8)(x + 3)

Part B.

(x + 1)(x - 8)(x + 3) / x^2 - x - 2= (x + 3)(x - 8) / x - 2

g(x)=  (x + 3)(x - 8) / x - 2= y= x - 3

Part C.

x=2.

Step-by-step explanation:

See images for more information, it wouldn't let me post it.

Answer:

A) 95

B) 1140

Step-by-step explanation:

If you need explanation I will give one

Answer:

∠DAB = 68

Step-by-step explanation:

∠DAB we need to find this

∠DAB = ∠C (vertically opposite angles are equal)

∠DAB = 68

Answer:

Explore - ??? (What are you suppose to put for that (Add comment))

Plan - First week - 53 Second week - 62

Solve - 53 + 62 = 115

Examine - (Use a graph to see the rise?)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The expanded form of 79 is 70+ 9. To apply the distributive property you rewrite the problem 3(70 + 9) which is the same as (3x70) + (3x9). Next do the multiplication 3x70= 210 + 3x9= 27

Next add the sums: 210 + 27 = 237.

Answer:

Step-by-step explanation:

The balls - multiples of 3 are:

The probability of a multiple of 3 is:

30% probability is in the range 0%-50% so this event is unlikely

Total multiples=3

[tex]\\ \sf\longmapsto P(3)=\dfrac{Multiples\:of\:3}{Total \:balls}[/tex]

[tex]\\ \sf\longmapsto P(3)=\dfrac{3}{10}[/tex]

[tex]\\ \sf\longmapsto P(3)=30\%[/tex]

So it is unlikely to happen.

Answer:

[tex]5.72[/tex]g of fiber is contained in the black beans.

Step-by-step explanation:

Given:

No.of. ounces[tex]=4.4[/tex]

Each ounce contains [tex]1.3[/tex]g of fiber

To calculate the fiber contained in the black beans

Total Fiber = No.of. ounces × Fiber contained in each ounce

[tex]=4.4[/tex] × [tex]1.3[/tex]

[tex]=5.72[/tex]g

Therefore, fiber contained in the black beans is [tex]5.72[/tex]g.

Learn more about multiplication, refer:

Answer:

600400

Step-by-step explanation:

How to solve -7+7s-3s-5-6-5s

→ -7+7s-3s-5-6-5s

→ -7 -5 -6 + 7s-3s-5s

→ -18 - 1s

The answer is -18-1s

Answer:

The first option, as x approaches infinity, y approaches infinity and as  x approaches negative infinity, y approaches negative infinity

Step-by-step explanation:

Answer:

7 quaters and 19 dimes

Step-by-step explanation:

Let say x the numbers of quaters,

2*x+5 the numbers of dimes

In cents,: 25*x+10*(2x+5)=365

25x+20x+50=365

45x=365-50

45x=315

x=7

Number of quaters: 7

Number of dimes: 2*7+5=19

Proof:

7*25+10*19=365

Answer:

1.414214

Step-by-step explanation:

I think this is right lol.

Answer:

b

Step-by-step explanation:

its literally right there

Answer:

C

Step-by-step explanation:

For every 7 students there is one adult, so you just have to do your multiplcations of 7. If there are 3 adults, there's 21 students, if there are 6 adults, there's 42 students, etc.

Answer:

8 GB

Step-by-step explanation:

Cost = sum of fees 1, 2, and 3

C = 56 + .95g +  .08t

so

68 = 56 + .95g + .08(55)

68 = 56 + .95g + .08(55)

68 = 56 + .95g + 4.4

68 - 56 - 4.4 = .95g

7.6 = .95 g

7.6/.95 = g

8 = g

Answer:

=>x=k/y

=>15=k/6

=>k=90

=>9=90/y

=>9y=90

=>y=10

Step-by-step explanation:

please make me brainllist

Resposta:

A vara mede 5,35 m.

Explicação:

[tex] \sin 20^\circ = \dfrac{1,83~m}{x} [/tex]

[tex] x = \dfrac{1,83~m}{\sin 20^\circ} [/tex]

[tex] x = 5,35~m [/tex]

Answer:

$141

Step-by-step explanation:

150x.06=9

150-9=141

not sure this is right, its off the top of my head and it's been a while since I've been in a math class that does this so i apologize in advance

Answer:

-6

Step-by-step explanation:

Hope I understand your "f(x) = 12 over the quantity of 4 x + 2" correctly

f(x) = 12 / 4x +2

Now so they want a f(-1), as u can see they substituted the x for - 1, therefor do that the same to the right side

f(-1) = 12/ 4(-1) + 2

f(-1) = 12 / - 4+2

= 12/ - 2

= - 6

Answer:

B

Step-by-step explanation:

4 (x - 7) - 2 (x + 1) = 10

x = 10

B. -2 (x - 7) + (x + 1) = 5

x = 10

your equation is equivalent to B!

Answer: -2(x-7) +(x +1)= 5

Step-by-step explanation:

Answer:

x = 74 degrees

Step-by-step explanation:

180 - 32 = 148

148 / 2 = 74

Answer:x=11

65.25x + 1063.50= 1781.25

To solve this equation, subtract the rental cost of the bus to get $717.75.

Now the equation should be 65.25x= 717.75

Divide both sides by 65.25, and you should get that x = 11. That’s your finally answer!

Step-by-step explanation:

Answer:

number is 3

Step-by-step explanation:

let the number be n then the product of 3 and the number is 3n , so

16 = 7 + 3n ( subtract 7 from both sides )

9 = 3n ( divide both sides by 3 )

3 = n

That is the number is 3

Answer:

Step-by-step explanation:

[tex] \frac{3}{8} p = 9[/tex]

[tex] = > p = 9 \times \frac{8}{3} [/tex]

=> p = 3 × 8

=> p = 24 (Ans)

Answer:

Fei cheng

15.940 rounded equals 16

[tex]5x-4=4x\\\\5x-4x=4\\\\\huge\boxed{x=4}[/tex]

Answer:

4=x

Step-by-step explanation:

5x-4=4x

-4=-x

4=x

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

4x + y = 1 ( subtract 4x from both sides )

y = - 4x + 1 ← in slope- intercept form

with slope m = - 4 and y- intercept c = 1

Answer:

Step-by-step explanation:

13 , 52

Here 13 is a prime number. So, check if 52 is  a multiple of 13.

Yes, 13*4 = 52

LCM = 52

Answer:

52

Step-by-step explanation:

L.C.M of 13 and 52 is,

13  | 13 , 52

4  |  1 , 4

     | 1 ,  1

L.C.M = 13 x 4 = 52