Pls help me on this question look at the image.

Answer:

  A) see attached for a graph. Range: (-∞, 7]

  B) asymptotes: x = 1, y = -2, y = -1

  C) (x → -∞, y → -2), (x → ∞, y → -1)

Step-by-step explanation:

A graphing calculator is useful for graphing the function. We note that the part for x > 1 can be simplified:

  [tex]\dfrac{-x^2+x+2}{x^2-3x+2}=-\dfrac{(x-2)(x+1)}{(x-2)(x-1)}=-\dfrac{x+1}{x-1}\quad x\ne 2[/tex]

This has a vertical asymptote at x=1, and a hole at x=2.

The function for x ≤ 1 is an ordinary exponential function, shifted left 1 unit and down 2 units. Its maximum value of 3^-2 = 7 is found at x=1.

The graph is attached.

The range of the function is (-∞, 7].

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As we mentioned in Part A, there is a vertical asymptote at x = 1. This is where the denominator (x-1) is zero.

The exponential function has a horizontal asymptote of y = -2; the rational function has a horizontal asymptote of y = (-x/x) = -1. The horizontal asymptote of the exponential would ordinarily be y=0, but this function has been translated down 2 units.

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The end behavior is defined by the horizontal asymptotes:

  for x → -∞, y → -2

  for x → ∞, y → -1

Answer:

50x + 200

Step-by-step explanation:

50 dollars each month (for x months) is 50x, and the initial cost is 200 (flat fee) which means that the expression is 50x+200

Answer:

50x+200

Step-by-step explanation:

Our constant term is the 200, because it's the upfront charge. Our coefficient is going to be 50, because 50 dollars are being charged each month.

Answer:

25m

Step-by-step explanation:

A square is a parallelogram having all sides equal. Hence, if Casey walked diagonally, she should have gone 25m as the rules of square states.

please mark brainliest

Answer:

let the length be x and breadth be y and h be the height of the triangle

therefore ,

breadth=base

[tex]x \times y + \frac{1}{2} x \times h[/tex]

ad the values to find the answer

[tex] {864in}^{2} [/tex]

Answer:

  I

Step-by-step explanation:

Reflecting the point across both axes changes the signs of both coordinates. The reflected point will be (2, 8). Both coordinates are positive for points in Quadrant I.

Answer:

$17

Step-by-step explanation:

$93 minus $76 equals $17 which is how much sonny needs to borrow.

Answer: he will need to borrow $17

to make his purchase that cost $93

Step-by-step explanation: $93 - $76 = $17

Answer:

(4,2)

Step-by-step explanation:

x,y > -x, y

Answer:

y=19 z=19

Step-by-step explanation:

45 45 90 triangles are this: sides=hyp/sqrt(2)

mathXL lol

Answer:

37

Step-by-step explanation:

I'm having trouble explaining this one, sorry

Answer:

The team is measuring 333 feet below the surface.

Step-by-step explanation:

Step 1. Write the function out

P = 14 +(8d/9)

Step 2. Plug in the (P )ounds [310]

310 = 14 + (8d/9)

Step 3. Remove 14 from the right side of the equation (Subtract 14 from everything)

296 = 8d/9

Step 4. Remove 9 from the right side of the equation (Multiply everything by 9)

2664 = 8d

Step 5. Remove 8 from the right side of the equation (Divide everything by 8)

333 = d

Final Answer: The team is measuring 333 feet below the surface.

P= 9

Step-by-step explanation:

y = (10 - 2x) / 4

y = (12 - x) / 9

Find Boundary Points:

(0,0)

(3,1)

(0,4/3)

(5,0)

Plug them into equation (DO NOT NEED (0,0) DO NOT USE):

P = 3 + 6(1) = 9

P = 0 + 6(4/3) = 8

P = 5 + 6(0) = 5

MAX VALUE: P = 9

Your Answer Should Be.... B

Answer:

B

Step-by-step explanation:

-8.56 = 64.2 divided  7.5

Answer :

92

92 bc you’d get 92.16 but round down

Answer:

A) x = 0, y = 14

Step-by-step explanation:

Line A:  y = 6x + 14

Therefore, the slope of line A = 6

If Line B is perpendicular to Line A, then the product of their slopes is -1.

⇒ slope of Line B = [tex]-\dfrac16[/tex]

Given Line B passes through point (2, 13 2/3).

Use slope-point form of linear equation to find equation for Line B:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-13 \frac23=-\dfrac16(x-2)[/tex]

[tex]\implies y=-\dfrac16x+14[/tex]

Solution of system is the point where the lines intersect.

From inspection of the equations of the lines, the point of intersection is (0, 14)

Answer:

16

Step-by-step explanation:

Graphs can represent a function, table and ordered pairs

The year that economists might consider a trough is 1982

From the graph, we have the following parameters:

In this case, the year that can be considered a trough is the year when the rate of unemployment is at highest (i.e. 11% in 1982)

Hence, the year that economists might consider a trough is 1982

Read more about troughs at:

https://brainly.com/question/13597823

Answer:

1982

Step-by-step explanation:

edge

Answer: parallel is 1 and perpendicular is -1

Step-by-step explanation:

parallel lines have the same slope and perpendicular have the opposite and negative of the slope.

Answer:

Step-by-step explanation:

The simple interest formula is ...

  I = Prt . . . . . r is the interest rate, t is the number of years

Solving for P, we have ...

  P = I/(rt)

6 months is 1/2 year, so the principal is ...

  P = $4.38/(0.035×1/2) = $250.2857...

Rounded to the nearest dollar, the principal invested is $250.

__

Using the same approach, for 18 months, t = 18/12 = 3/2 = 1.5.

  P = $20.70/(0.023×1.5) = $600

The principal in Account B is $600.

__

First Month's Interest

Using the interest formula, the first month's interest in each account is ...

  A: I = 250×0.035×1/12 = $0.73

  B: I = 600×0.023×1/12 = $1.15

Account B earns more interest in the first month.

Answer:

5pt=2cups

1qt.=2pt

Step-by-step explanation:

I hope that's right

The amount of money Jamar will make in his 18th year working at this job is = $107,500

The amount of money Jamar made in his first year= $48,000

The salary rise per year = $3,500

The amount of money he will make for the extra 17 years is = 17 × $3,500

= $59,500

Therefore the amount he will receive as his salary in the 18th year working at this job = $48,000 + $59,500

= $107,500

Learn more about salary outcome here:

https://brainly.com/question/24855677

She will pay for a journey of 20 kilometers.

We have given that,

The fixed price of a taxi journey costs $11.50 plus $5 per traveled kilometer.

We have to determine How much will you pay for a journey of 20 kilometers.

We have $11.5 fixed.

We have to determine for 20km we have to pay.

20k * $5 = $100

$100 + 11.5 = 111.5

Therefore she will pay for a journey of 20 kilometers.

To learn more about the cost visit:

https://brainly.com/question/1153322

#SPJ2

Answer:

8

Step-by-step explanation:

so basically we do

2³ = 8

2x2=4 4x2=8

Answer:

x (constant) = 20 ((month)) y (variable) = 5 ((gig of data))

Step-by-step explanation:

20x+5y=55 (7 gigs)

Answer:

11/10 is greater than 1

Step-by-step explanation:

For reference, 10/10 = 1, 8/8 = 1. So when looking at these:

11/10 is 1 and 1/10

7/8 is less than 1

well, the original price was "x", which is of course the 100%, the new price is 10% less than that, or namely 90% of that original and we know is 200 bucks.

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 200&90 \end{array}\implies \cfrac{x}{200}=\cfrac{100}{90}\implies \cfrac{x}{200}=\cfrac{10}{9} \\\\\\ 9x=2000\implies x=\cfrac{2000}{9}\implies x=222.\overline{2}[/tex]

Answer:

y = 14 [tex](2)^{x}[/tex]

Step-by-step explanation:

Find a and b by substituting the points into the equation

using (0, 14 ) , then

14 = a[tex]b^{0}[/tex] [ [tex]b^{0}[/tex] = 1 ] , then

14 = a × 1 ⇒ a = 14

y = 14 [tex]b^{x}[/tex]

using (6, 896 )

896 = 14 [tex]b^{6}[/tex] ( divide both sides by 14 )

64 = [tex]b^{6}[/tex] ( take the sixth root of both sides )

b = [tex]\sqrt[6]{64}[/tex] = 2

Then

y = 14 [tex](2)^{x}[/tex] ← is the exponential function

The height of the bamboo plant after 15 days is 316 inches.

In order to determine the formula that represents the rate of growth of the bamboo plant, we have to determine the inches of growth per day.

Rate of growth per day = 134 - 121 = 13 inches

The height of the bamboo plant = 121 + 13h

Where h is the number of days

Height in 15 days = = 121 + (13 x 15)

= 316 inches

To learn more about linear functions, please check: https://brainly.com/question/26434260

Answer:

64 (2) ^ n-1  

I hope that this helps!

Answer: It is B

Rae will ask 75 randomb students in her school

Step-by-step explanation:

honestly I just guessed, and got it right