solve each equation by graphing (work shown appreciated)

Answer:

The correct option is (B)[tex]58.41<f(x)<150[/tex].

Step-by-step explanation:

The exponential decay function is as follows:

[tex]y=a(1-r)^{t}[/tex]

Here,

y = final value

a = initial value

r = decay rate

t = time taken

It is provided that:

a = 150 mg

r = 9% = 0.09

Then the next hour the amount of caffeine in the body will be:

[tex]y=a(1-r)^{t}\\=150\times (1-0.09)^{1}\\=136.5\ \text{mg}[/tex]

Then after two hours the amount of caffeine in the body will be:

[tex]y=a(1-r)^{t}\\=150\times (1-0.09)^{2}\\=124.215\ \text{mg}[/tex]

Similarly after 10 hours the amount of caffeine in the body will be:

[tex]y=a(1-r)^{t}\\=150\times (1-0.09)^{10}\\=58.4124\ \text{mg}\\\approx 58.41\ \text{mg}[/tex]

Then the inequality representing the range of the exponential function that models this  situation is:

[tex]58.41<f(x)<150[/tex]

Thus, the correct option is (B).

The best answer's you can get are the already answered one's (posted cause a guy in the comment said it was wrong when it was actually correct)

Answer:

x = 44-y

Step-by-step explanation:

She has 44 glasses.  The number of glasses of lemonade, y, and the number of glasses of ice tea, x,  totals 44

x+y = 44

We want the number of glasses of ice tea

x = 44-y

Answer:

g(x) = (x - 2)^3 - 4

Step-by-step explanation:

first, the function f is shifted to the right by 2 units and then shifted up by 4 units

Answer: 2

Step-by-step explanation:

1+2, 2+1

Therefore, the probability of getting a total of three is 2

Probability of getting total of three when two fair dice rolled is equals to [tex]\frac{1}{18}[/tex] .

" Probability is defined as the ratio of number of favourable outcomes to the total number of outcomes."

Formula used

Probability [tex]= \frac{Number of favourable outcomes}{Total number of outcomes}[/tex]

According to the question,

Dan rolls two fair dice,

Possible outcomes are [tex]= \{ (1,1), (1,2), (1,3) , (1,4). .........., ( 6,5), (6,6)\}[/tex]

Total number of outcomes [tex]= 36[/tex]

Condition given,

Favourable outcomes for total of [tex]3[/tex] [tex]= \{(1,2) , (2,1)\}[/tex]

Substitute the value in the formula of probability we get,

Probability of getting [tex]3[/tex]

[tex]= \frac{2}{36}\\\\= \frac{1}{18}[/tex]

Hence, probability of getting total of three when two fair dice rolled is equals to [tex]\frac{1}{18}[/tex] .

Learn more about probability here

brainly.com/question/11234923

#SPJ2

Answer & Step-by-step explanation:

When you are doing the reflection, y = -x, then the coordinates will go as follow...

(x, y) → (-y, -x)

So, (3, 5) will become (-5, -3).

So, the coordinate of F' would be (-5, -3)

Answer:

The answer is c

Step-by-step explanation:

Answer:

the answer is c

Answer:

the equation is not shown...

Step-by-step explanation:

but to solve for y you should use the first equation that is use the coefficient of x in the first equation to multiply all the terms in the second equation.

And use the coeffient of x in the second equation to multiply the the terms in the first equation.

It would have been better if the equation was shown for better explanation.

Hi there!

Answer:

1/6

Explanation:

The first probability of getting blue is 4 out of the total marbles so 4/9.

The second time there are only 3 blue marbles out of 8 now so 3/8.

So the answer is 4/9X3/8

which equals 12/72 or 1/6

Hope this helps!

Answer: The equation would NOT help us solve for the length and width of the classroom is "[tex]x + 2y = 90[/tex]".

Step-by-step explanation:

Let y be the width of the rectangular classroom floor and x be the length of the rectangular classroom floor .

Given ,

The perimeter of a rectangular classroom floor is 90 feet.

The length of the floor is twice the  width.

i.e. Length =2 (width)

i.e. x= 2y ..(i)

Also, perimeter = 2(length+width)

[tex]i.e. 2(x+y)=90\\\\\Rightarrow\ 2x+2y=90[/tex]

When we put value of x from (i), we get

[tex]2(2y) + 2y = 90[/tex]

Hence, the equation would NOT help us solve for the length and width of the classroom is "[tex]x + 2y = 90[/tex]".

Answer:

1. When adding you just add the numbers from the same space so

3  7

10 45

2. Same as adding but the opposite

2  1  2

3  1  6

1  2  1

Step-by-step explanation:

Answer:

A number cube

Step-by-step explanation:

A coin a 5-sector spinner a number cube a bag of 11 marbles

A number cube is the best to simulate this scenario and predict whether a randomly chosen resident has a library card.

As Coin has only 2 outcomes "Head" and "Tail".

A 5-sector sector spinner has only 5 outcomes we need six outcomes.

A bag of 11 marbles has no differentiated with respect to colors etc.

Hence, A number cube is correct to chosen five out of six residents of Mayville have library cards.

Answer:

c

Step-by-step explanation:

Answer: I think it is b

Step-by-step explanation:

Answer: The answer is 8000 pounds, or 4 tons

Step-by-step explanation:

This is true because each tree makes about 250 pounds of oxygen. She counted 32 so.....

(32)(250)=8000

then convert 8000 pounds to tons and you get 4 tons

Answer:

Step-by-step explanation:

The area formula for a parallelogram is the same as the area formula for a rectangle or square. A = bh.

Our base is 5 1/4 and the height, which drops perpendicular to the base, is 4 1/5.  So the formula for the area is

[tex]A=(4\frac{1}{5})(5\frac{1}{4})[/tex]

Choice D

Answer:

The width is 8 inches.

Step-by-step explanation:

Let the width be x. Per the question, the length should be 2x + 5. Set up a perimeter equation and solve for x.

I have attached the work to your problem.

Please see the attachment below.

I hope this helps!

Answer:

A scale factor is a number which scales, or multiplies, some quantity. In the equation y = Cx, C is the scale factor for x.

:)

Step-by-step explanation:

Answer:ascale factor is used in instructing some one on what is to be done in adrawn diagram in a graph e.g

Enlargement

Step-by-step explanation:I hope it gelps

Answer:

$100

Step-by-step explanation:

350/7=50

50x2=100

Answer:

The answer would be x^2+4x+3

Step-by-step explanation:

Answer:

A. x^2+4x+3!!!

just took it on edg!

[tex]answer =12 \: yards \\ solution \\ hypotenuse(h) = 13 \: yards \\ perpendicular(p) = 5 \: yards \\ base(b) = ?\\ using \: pythagorus \: theorem \\ {h}^{2} = {p}^{2} + {b}^{2} \\ {b}^{2} = {h}^{2} - {p}^{2} \\ {b}^{2} = {13}^{2} - {5}^{2} \\ {b}^{2} = 169 - 25 \\ {b}^{2} = 144 \\ b = \sqrt{144 } \\ b = \sqrt{ {12}^{2} } \\ b = 12 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer:

Step-by-step explanation:

Use Pythagorean theorem

let the missing side be x

5² +x² = 13²

25 + x² = 169

x² = 169 - 25

x² = 144

x =√144

x = 12 yards

Answer:

A= 1/2bh

Step-by-step explanation:

The answer is the Area= 1/2 * base * height

Answer:

The side length is 8x+2 ft

Step-by-step explanation:

The perimeter of a square is found by

P =4s  where s is the side length

32x +8 = 4s

Divide each side by 4

32x/4 +8/4 = 4s/4

8x+2 = s

The side length is 8x+2 ft

Answer:

[tex]x = 14.667[/tex]

Step-by-step explanation:

[tex]3x + 22 = 66 \\ 3x = 66 - 22 \\ 3x = 44 \\ \frac{3x}{3} = \frac{44}{3} \\ x = 14.667[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

x = [tex]\frac{44}{3}[/tex]              OR                x = 14.67

Step-by-step explanation:

The first step is to subtract 22 from both sides, like so:

3x + 22 = 66

     - 22   - 22

--------------------

3x = 44

Divide both sides by 3:

x = [tex]\frac{44}{3}[/tex]              OR                x = 14.67

Answer:

PLEASE APPRECIATE IT

Step-by-step explanation:

129

Answer:

No solutions

Step-by-step explanation:

x + 2y and 2x + 4y are linear combinations of each other since 2 ( x + 2y ) = 2x + 4y.

However, since 2 ( x + 2y = 2 ) results in 2x + 4y = 4 and the second equation reads as 2x + 4y = -8, there is no solution to this system of equations since 4 does not equal -8.

Answer:

option B

Step-by-step explanation:

Answer: option B

Answer:

56

Step-by-step explanation:

so a straight line has an angle that is 180 degrees

the angle on both sides of X are 64 and 60

so add those up u get 124

get the whole angle of 180 and subtract 124 and u get 56

Answer:

-2.9

Step-by-step explanation:

-10x + 1 + 7 = 37

Combine like factors.

-10x + 8 = 37

Subtract 8 from both sides.

-10x = 29

Divide both sides by -10.

x = -2.9

Answer:

x = -29/10 = -2 9/10

Step-by-step explanation:

-10x + 1 + 7 = 37

Combine like terms

-10x +8 = 37

Subtract 8 from each side

-10x + 8-8 = 37-8

-10x = 29

Divide each side by -10

-10x/-10 = 29/-10

x = -29/10

x = -2 9/10

Answer:

b

Step-by-step explanation:

alotta ppl go to the mall cuz they like to shop there, so if u ask ppl at the mall their fav place to shop, many will say "the mall"

Answer:

favorite place to shop i believe

Step-by-step explanation:

I'm sure it become a biased situation when you ask an answer similar to the surroundings.

Answer:

  A. the perpendicular bisector of the line segment XY

Step-by-step explanation:

You know that one point equidistant from X and Y is the midpoint of segment XY. The third vertex of an isosceles triangle with XY as its base will also be equidistant from X and Y. That vertex will be located on the perpendicular bisector of XY.

The locus of points of interest is the perpendicular bisector of XY.

_____

For many geometry problems, it can be helpful to draw a diagram.

Answer:

2. 90+240= 330 m cubed

3. (24*2)+96= 144 cm cubed

Answer:

side of square is 2-x

Step-by-step explanation:

Area of the square is side * side  or side ², so the expression for the side has to be square root of area

A = 4 -4x + x²

It should be recognized that 4 -4x + x²is a special product ( 2-x)² because this is a perfect square trinomial

side of square is 2-x