What the rate of change for f(t)=70(5/2)^t
help

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 :

92

92 bc you’d get 92.16 but round down

Answer:

26 degrees

Step-by-step explanation:

Triangle A:

So the triangle is 24 degrees and it is an isosceles triangle so the other 2 angles are equal. All the angles in a triangle add up to 180 degrees.

180-24=156 degrees

156 divided by 2 because of the 2 angles = 78 degrees

The angles in Triangle A are 78 degrees which means one corner of the Triangle X is 78 degrees as it is vertically opposite.

Triangle B:

B= 49 degrees and the triangle is isosceles as well. 49 x 2 for the other angle which would be the same is 98 degrees. We would then do

180 -98 = 82 degrees

This means the other angle in Triangle X is 82 degrees

Triangle X:

72 degrees is the top left angle and 82 degrees is the top right angle so you do 72+82= 154 degrees

180-154= 26 degrees

Hope this helps

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:

g[f(-2)] = 7

Step-by-step explanation:

f(x) = x^2

g(x) = 3x – 5

g[f(-2)]

First find f(-2) = (-2)^2 = 4

Then find g(4) = 3(3) -5 = 12-5 = 7

[tex]f(x)=x^2;g(x)=3x-5\\\\g[f(-2)]=3\times (f(-2))^2-5=3\times(-2)^2-5=3\times4-5=7[/tex]

Answer: c

hope it helps

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:

800

Step-by-step explanation:

The interest to be paid after 2 years is $765.84

The total interest to be paid after 4 years is  $1531.68

Simple interest rate is the interest that is paid only on the principal portion of a loan. This means that the debtor does not pays interest on the interest rate already accrued.

Simple interest = principal x time x interest rate

$9573 x 2 x 0,04 =$765.84

$9573 x 4 x 0,04 = $1531.68

To learn more about interest, please check: https://brainly.com/question/26164549

Answer:

Step-by-step explanation:

Let the cost of each hat is x and each mask is y.

According to the question, set the equations:

Double the second equation and subtract the first one:

Find the value of y:

Equations are

Eq(1)×4

[tex]\\ \tt\hookrightarrow 4h+8m=12\dots(3)[/tex]

Subtract (3) and (2)

[tex]\\ \tt\hookrightarrow 3m=3[/tex]

[tex]\\ \tt\hookrightarrow m=1[/tex]

Put in eq(1)

[tex]\\ \tt\hookrightarrow h+2=3[/tex]

[tex]\\ \tt\hookrightarrow h=1[/tex]

Answer:

x = 7

Step-by-step explanation:

hope this helps

Answer:

x/y=8/y-1/y-->x/y=8-1 /y -->x/y=7/y-->x×y=y×7-->xy=7y -->x=7y/y-->x=7Answer

Answer:

8

Step-by-step explanation:

so basically we do

2³ = 8

2x2=4 4x2=8

Answer:

12100 g or 12.1 kg

Step-by-step explanation:

You convert 12.5 kg to grams. Then you subtract what you get (which should be 12500 g) by 400 g.

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:

3 3/5

Step-by-step explanation:

12/5 × 9/6

2/5 × 9

18/5

= 3 3/5

Answer:

check all below

Step-by-step explanation:

#1

1/6)^3

1/26 so answer 1 on number one

#2 what the heck is this 65+75= 140 not 120

65/120 = 54.16666% * 12600 = 6825 so 3

or 65/140 = 46.428% * 12600 = 5850

#3 number 4 makes the most since sense you get the WHOLE POPULATION

#4 1/5*1/2 or 1/10 = .10 * 100% = 10% or 3

#5

6+2+8+4 = 20

2 red marbles

2/20 = 1/10 = .10 * 100% = 10% or 2

Answer:

[tex]x=3\pm\sqrt{23}[/tex]

Step-by-step explanation:

Complete the Square

[tex]3x^2-18x+5=47\\\\3x^2-18x-42=0\\\\x^2-6x-14=0\\\\x^2-6x-14+23=0+23\\\\x^2-6x+9=23\\\\(x-3)^2=23\\\\x-3=\pm\sqrt{23}\\\\x=3\pm\sqrt{23}[/tex]

Answer:

the answer would be 400.

Step-by-step explanation:

9,100 - 900 = 8,200

she would need to raise 8,200 more. to know many shirts tho, we need to divide by the cost

8,200 divided by 20.50 is 400.

400 shirts.

If I'm wrong, let me know, please.

Answer:

x=400

Step-by-step explanation:

Already sold: 900/20.50=43

Needs to sell altogether:443

Needs to sell minus already sold: 443-43=400

She needs to sell 400 more shirts.

Answer:

y=19 z=19

Step-by-step explanation:

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

mathXL lol

Answer:

5pt=2cups

1qt.=2pt

Step-by-step explanation:

I hope that's right

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:

16

Step-by-step explanation:

Answer:

slopes are correct for both the lines, but not the y-intercepts.

Step-by-step explanation:

slopes are correct for both the lines, but not the y-intercepts

The [tex]-x+2y=1[/tex] line has been correctly drawn.

The [tex]-2x - 3y=-12[/tex] has the correct slope but the wrong y-intercept.  The y-intercept should be 4

The correct statement about Adi’s use of algebra tiles is She used the algebra tiles correctly.

Given

Adi used algebra tiles to represent the product

(-2x-2) (2x-1)

The number or expression results from the multiplication together of two or more numbers or expressions.

The correct way to find the product function is;

[tex]\rm =(-2x-2) (2x-1)\\\\=-2x(2x-1)-2(2x-1)\\\\= -4x^2+2x-4x+2\\\\= -4x^2+2x+2[/tex]

Hence, the correct statement about Adi’s use of algebra tiles is She used the algebra tiles correctly.

To know more about the product click the link given below.

brainly.com/question/24593936

Answer:

It's A

Step-by-step explanation:

from the person above me since I know some people do not like reading to get it

Answer:

2 or 3). ( or there answer could be 5 because the question isn't very clear

Step-by-step explanation:

first you need to figure out 10 percent of 50 which is 5. than the. question says they split the duckies but 5 is not splittable so there would be either 2 or 3.

Answer:

Step-by-step explanation:

1)

there are 16 coins total.

10/16 chance to choose a dime

1/15 chance to choose a penny

1/24 answer is D

2)12/36*78

26 B

3) around 4/32 of buttons are orange.

multiply by 64

8 answer is B

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

Answer:

8

Step-by-step explanation:

10 - (2)
8 x 2? = 16
16 / 2 = 8

srry if its the answer u did not want ;-;

Answer:

Step-by-step explanation:

hope this helps!

There are 5,040 different ways that the first seven students in line can be ordered.

An arrangement is a permutation of a set of objects in mathematics where the order of the things is important. An arrangement is specifically an orderly succession of unique elements drawn from a set.

Consider the set "A, B, C," for instance. This set can be arranged in six different ways: ABC, ACB, BAC, BCA, CAB, and CBA. The three components of the set are stated in a precise order in each of these configurations.

The number of ways that 7 students can be arranged in a line is 7! (7 factorial) which is equal to:

7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5,040

Therefore, there are 5,040 different ways that the first seven students in line can be ordered.

To know more about the arrangement follow

https://brainly.com/question/2279136

#SPJ2

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