What is the Distance between (-5, -5) and (-9, -2)

There were 5 1/4 bags of popcorn left after eating 4 bags.

To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.

Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:

9 1/4 = (4 * 9 + 1) / 4 = 37/4

Now, let's subtract the 4 bags eaten from the total:

37/4 - 4

To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:

37/4 - 4/1

Now, let's find a common denominator and subtract the fractions:

37/4 - 16/4 = (37 - 16) / 4 = 21/4

The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:

21/4 = 5 1/4

Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.

For more questions on bags

https://brainly.com/question/31835238

#SPJ8

Answer:

C. F(x) = \(4x^2 + 1\)

Step-by-step explanation:

The altered function on the graph has shifted upwards by 1 unit from a +1. It also got narrower, and this is from a number that's greater than 1 in front of x.

Answer:

you can write up to 3 coordinate but you can also continue also .you have to remember to keep the value of variable on right side before computing the value of variable on right side to get good answer.

Answer: +15

Step-by-step explanation: Sine a negative times a

negative always equals a positive, (-3) · (-5) is +15.

Answer:

+15

Step-by-step explanation:

negative times a negative is always a positive

9514 1404 393

Answer:

  e.  7x -y = -5

Step-by-step explanation:

Rearranging the first equation to general form, we have ...

  7x -2 = 0 . . . . subtract 5 from both sides

Rearranging the second equation to general form, we have ...

  y -7 = 0 . . . . . subtract 6 from both sides

Now, we can equate these expressions for 0:

  7x -2 = y -7

Subtracting y gives ...

  7x -y -2 = -7

and adding 2 gives the standard form equation ...

  7x -y = -5 . . . . matches choice E

_____

Comment on the question

Mathematically, there is no good reason to do this. It seems to be simply an exercise in manipulating equations.

Here, we subtracted the y-equation from the x-equation to get the final result. There are many other ways an expression for "0" can be used to combine these equations.

Answer: B

Step-by-step explanation:

Answer:

option B, square root of 13

Step-by-step explanation:

i took the quiz on edge and got it right. :,)

Answer:

The value of the expression at h=9 and j=8 is;

Explanation:

Given the expression;

At;

substituting the given values of the variables;

Therefore, the value of the expression at h=9 and j=8 is;

Answer:

2

Step-by-step explanation:

j(h - 9) + 2

Let h=9 and j=8

8(9 - 9) + 2

Parentheses first

8(0) + 2

Multiply

0+2

Add

2

Answer:

1)  The functions are not inverses.

\(\textsf{2)} \quad g^{-1}(n)=&\dfrac{3}{8}n-\dfrac{7}{8}\)

\(\textsf{3)} \quad g^{-1}(x)&=\sqrt[3]{\dfrac{1}{2}-\dfrac{1}{2}x}\)

Step-by-step explanation:

The inverse composition rule states that if two functions are inverses of each other, then their compositions result in the identity function.

Given functions:

\(g(x) = 4 + \dfrac{7}{2}x \qquad \qquad f(x) = 5 - \dfrac{4}{5}x\)

Find g(f(x)) and f(g(x)):

\(\begin{aligned} g(f(x))&=4+\dfrac{7}{2}f(x)\\\\&=4+\dfrac{7}{2}\left(5 - \dfrac{4}{5}x\right)\\\\&=4+\dfrac{35}{2}-\dfrac{14}{5}x\\\\&=\dfrac{43}{2}-\dfrac{14}{5}x\\\\\end{aligned}\)                 \(\begin{aligned} f(g(x))&=5 - \dfrac{4}{5}g(x)\\\\&=5 - \dfrac{4}{5}\left(4 + \dfrac{7}{2}x \right)\\\\&=5-\dfrac{16}{5}-\dfrac{14}{5}x\\\\&=\dfrac{9}{5}-\dfrac{14}{5}x\end{aligned}\)

As g(f(x)) or f(g(x)) is not equal to x, then f and g cannot be inverses.

\(\hrulefill\)

To find the inverse of a function, swap the dependent and independent variables, and solve for the new dependent variable.

Calculate the inverse of g(n):

\(\begin{aligned}y &= \dfrac{8}{3}n + \dfrac{7}{3}\\\\n &= \dfrac{8}{3}y + \dfrac{7}{3}\\\\3n &= 8y + 7\\\\3n-7 &= 8y\\\\y&=\dfrac{3}{8}n-\dfrac{7}{8}\\\\g^{-1}(n)&=\dfrac{3}{8}n-\dfrac{7}{8}\end{aligned}\)

Calculate the inverse of g(x):

\(\begin{aligned}y &= 1-2x^3\\\\x &= 1-2y^3\\\\x -1&=-2y^3\\\\2y^3&=1-x\\\\y^3&=\dfrac{1}{2}-\dfrac{1}{2}x\\\\y&=\sqrt[3]{\dfrac{1}{2}-\dfrac{1}{2}x}\\\\g^{-1}(x)&=\sqrt[3]{\dfrac{1}{2}-\dfrac{1}{2}x}\\\\\end{aligned}\)

Answer:

1.

If the composition of two functions is the identity function, then the two functions are inverses. In other words, if f(g(x)) = x and g(f(x)) = x, then f and g are inverses.

For\(\bold{g(x) = 4 + \frac{7}{2}x\: and \:f(x) = 5 -\frac{4}{5}x}\), we have:

\(f(g(x)) = 5 - \frac{4}{5}(4 + \frac{7}{2}x)\\ =5 - \frac{4}{5}(\frac{8+7x}{2})\\=5 - \frac{2}{5}(8+7x)\\=\frac{25-16-14x}{5}\\=\frac{9-14x}{5}\)

\(g(f(x)) = 4 + (\frac{7}{5})(5 - \frac{4}{5}x) \\=4 + (\frac{7}{5})(\frac{25-4x}{5})\\=4+ \frac{175-28x}{25}\\=\frac{100+175-28x}{25}\\=\frac{175-28x}{25}\)

As you can see, f(g(x)) does not equal x, and g(f(x)) does not equal x. Therefore, g(x) and f(x) are not inverses.

Sure, here are the inverses of the functions you provided:

2. g(n) = (8/3)n + 7/3

we can swap the roles of x and y and solve for y to find the inverse of g(n). In other words, we can write the equation as y = (8/3)n + 7/3 and solve for n.

y = (8/3)n + 7/3

n =3/8*( y-7/3)

Therefore, the inverse of g(n) is:

\(g^{-1}(n) = \frac{3}{8}(n - \frac{7}{3})=\frac{3}{8}*\frac{3n-7}{3}=\boxed{\frac{3n-7}{8}}\)

3. g(x) = 1 - 2x^3

We can use the method of substitution to find the inverse of g(x). We can substitute y for g(x) and solve for x.

\(y = 1 - 2x^3\\2x^3 = 1 - y\\x = \sqrt[3]{\frac{1 - y}{2}}\)

Therefore, the inverse of g(x) is:

\(g^{-1}(x) =\boxed{ \sqrt[3]{\frac{1 - x}{2}}}\)

Answer:

slope intercept form: y= -6x+3

point slope form: y-0= -6(x -1/2)

Step-by-step explanation:

point slope form: y - y1 = m(x - x1)

substitute the values  y-0=-6(x-1/2)

slope intercept form:

find the slope using two given points

m = (y2 - y1) / (x2 - x1)

= (3 - 0) / (0 - 1/2)

= 3 / (-1/2)

= -6

substitute into equation

y= -6x+3

Answer:

The correct options are , Option 1st, 3rd and 4th.

24 square units

72 square units

96 square units

Step-by-step explanation:

CHECK THE ATTACHMENT FOR THE COMPLETE QUESTION

Which could be the area of one face of the triangular prism? Select three options.

A triangular prism. The rectangular sides are 12 by 10, 12 by 8, and 12 by 6. The triangular sides have a base of 8 and height of 6.

[Not drawn to scale]

24 square units

48 square units

72 square units

96 square units

144 square units

EXPLANATIONS

Solving for RECTANGULAR part

Area of rectangles = Length x width.

\(A=LW\)

Area of the face of 12 x 10 dimension= 120 square units

Area of face of the 12 x 8 dimensions = 96 square units

Area of face of the 12 x 6 dimension = 72 square units

Solving for the TRIANGULAR part

Area of triangles = 1/2 x base x height.

\(A=1/2bh\)

Triangular height is 6

Triangular base is 8

A=1/2*8*6

\(A=24square units\)

Therefore, the areas are ;24 square units,72 square units and 96 square units

Answer:

The correct options are , Option 1st, 3rd and 4th.

24 square units

72 square units

96 square units

Step-by-step explanation:

CHECK THE ATTACHMENT FOR THE COMPLETE QUESTION

Which could be the area of one face of the triangular prism? Select three options.

A triangular prism. The rectangular sides are 12 by 10, 12 by 8, and 12 by 6. The triangular sides have a base of 8 and height of 6.

[Not drawn to scale]

24 square units

48 square units

72 square units

96 square units

144 square units

EXPLANATIONS

Solving for RECTANGULAR part

Area of rectangles = Length x width.

Area of the face of 12 x 10 dimension= 120 square units

Area of face of the 12 x 8 dimensions = 96 square units

Area of face of the 12 x 6 dimension = 72 square units

Solving for the TRIANGULAR part

Area of triangles = 1/2 x base x height.

Triangular height is 6

Triangular base is 8

A=1/2*8*6

Therefore, the areas are ;24 square units,72 square units and 96 square units

Answer:

the answer is 14.48

Step-by-step explanation:

i did the quiz! k12 hope this works

Answer:

$14.48

Step-by-step explanation:

cost x rate (as a decimal) plus the cost = total amount

(13.60 x 0.065) + 13.60 = 14.484 which rounds to $14.84

Answer:

3x2+15x=18

Step 1: Subtract 18 from both sides.

3x2+15x−18=18−18

3x2+15x−18=0

Step 2: Factor left side of equation.

3(x−1)(x+6)=0

Step 3: Set factors equal to 0.

x−1=0 or x+6=0

x=1 or x=−6

Answer:

A

I worked them out myself so if their wrong uh please don't get mad I tried my best.

Step-by-step explanation:

3x (2) + 15x = 18                               3x (2) + 15x = 18

6x + 15x = 18                                     6x + 15x = 18  

-6x + -6x = 18                                            -18     -18

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

0 + 9x = 18                                            6x + -3 = 0

   ------  -------                                         -3 +  -3

      18  18                                           --------------------

          x = 2                                              -3 + 0

                                                                    X = -3

The equation of the sinusoidal model is y = 2 · sin (4 · x) + 3.

Sinusoidal models are periodic equations that use trigonometric functions and are defined by the following equation:

y = A · sin (2π · x / T) + B       (1)

Where:

The amplitude is equal to the half of the difference between maxima and minima:

A = (5 - 1) / 2

A = 4 / 2

A = 2

The midpoint is equal to the average of the minima and maxima:

B = (5 + 1) / 2

B = 6 / 2

B = 3

The period is the "horizontal" distance in which a cycle is completed:

T = 0.5π

Then, the equation of the sinusoidal model is:

y = 2 · sin (2π · x / 0.5π) + 3

y = 2 · sin (4 · x) + 3

To learn more on sinusoidal model: https://brainly.com/question/12060967

#SPJ1

The average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.

To determine the average rate of change of the school's enrollment during the given time period, we can use the formula:

Average rate of change = (Change in enrollment) / (Change in time)

The change in enrollment is calculated by subtracting the initial enrollment from the final enrollment, while the change in time is calculated by subtracting the initial year from the final year.

Given that in 2004 there were 975 students enrolled and in 2009 there were 730 students enrolled, we can calculate the change in enrollment:

Change in enrollment = 730 - 975 = -245 students

The change in time can be calculated as:

Change in time = 2009 - 2004 = 5 years

Now we can calculate the average rate of change:

Average rate of change = (-245 students) / (5 years) = -49 students per year

Therefore, the average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.

For more such questions on enrollment,click on

https://brainly.com/question/1101942

#SPJ8

The company should use the median to support their claims.

Measures of average commonly used are mean and median.

Mean is the sum of the numbers divided by the total number

Mean : (5 + 6 + 6 + 6 + 7 + 8 + 8 + 8 + 8 + 11) / 10 = 7.3

Median is the number at the center of the dataset when it is arranged either in ascending or descending order.

Median = 8

To learn more about median, please check: https://brainly.com/question/20434777

#SPJ1

Answer:

one tenth of a galon

Step-by-step explanation:

I think this is the answer hope this helps (:

Answer:

The equation is in standard form

Step-by-step explanation:

Hope this helps

9514 1404 393

Answer:

Step-by-step explanation:

The desired sum is ...

  3u +2v = 3(3i +5j) +2(6i -2j) = (3·3 +2·6)i +(3·5+2(-2))j = 21i +11j

__

The dot product is the sum of products of corresponding component values.

  u·v = (3)(6) +(5)(-2) = 18 -10 = 8

The probability that the selected cube will not be blue is given as;

P(selected cube not blue) = 3/4

We are given that;

Number of red cubes = 7 cubes

Number of yellow cubes = 3 cubes

Number of green cubes = 2 cubes

Number of blue cubes = 4 cubes

Total number of cubes = 7 + 3 + 2 + 4

Total number of cubes = 16 cubes

Probability that the cube that is selected is blue;

P(selected cube is blue) = 4/16 = 1/4

Thus, probability that it will not be blue will be;

P(selected cube not blue) = 1 - (1/4)

P(selected cube not blue) = 3/4

Read more at; https://brainly.com/question/9956655

Answer:

x=+2√7

Step-by-step explanation:

The probability that you select a Jack given that it is a Club P(Jack∣Club) is 1/13.

The probability that you select a Club given that it is a Jack is P(Club∣Jack) is 1/4.

The probability that you select a card that is NOT a Jack given that it is NOT a Club,P(NotJack∣NotClub) is 47/38

The probability that you select a card that is NOT a Club given that is it NOT a Jack is 38/47

The probability that you select a Jack given that it is a Club P(Jack|Club):

There are 4 Jacks in a deck (one for each suit), and since we are given that the selected card is a Club, we only need to consider the 13 cards in the Club suit.

So, the number of favorable outcomes is 1 (the Jack of Clubs), and the total number of possible outcomes is 13 (the number of cards in the Club suit)

P(Jack|Club) = 1 / 13

The probability that you select a Club given that it is a Jack

P(Club|Jack):

P(Club|Jack) = Number of favorable outcomes / Total number of possible outcomes

P(Club|Jack) = 1 / 4

The probability that you select a card that is not a Jack given that it is not a Club

P(NotJack|NotClub):

The number of cards that are not Jacks is 52 - 4 = 48 (since there are 4 Jacks in the deck), and the number of cards that are not Clubs is 52 - 13 = 39 (since there are 13 cards in the Club suit).

P(NotJack|NotClub) = Number of favorable outcomes / Total number of possible outcomes

P(NotJack|NotClub) = (48 - 1) / (39 - 1)

=47/38

P(NotClub|NotJack) = (39 - 1) / (48 - 1)

=38/47

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ1

Answer:

1 one

Step-by-step explanation:

just because

Answer:

Uh oh! It looks like your question is missing some crucial information. Please repost it with any helpful information such as diagrams, excerpts, or answer choices needed to solve it.

Step-by-step explanation:

3x + 2 is one possible choice

Answer:

xplus x answer is 8v 8 would bw correct answer

Answer:

b is correct center of circle is x=4 y=-2

radius = 3

To find out how many of the 39 practice trials would be faster than 62 seconds, we need to calculate the proportion of trials that fall within the range of more than 62 seconds.

We can use the z-score formula to standardize the values and then use the standard normal distribution table (also known as the z-table) to find the proportion.

The z-score formula is:

z = (x - μ) / σ

Where:

x = value (62 seconds)

μ = mean (61 seconds)

σ = standard deviation (1.5 seconds)

Calculating the z-score:

z = (62 - 61) / 1.5

z ≈ 0.6667

Now, we need to find the proportion of values greater than 0.6667 in the standard normal distribution table.

Looking up the z-score of 0.6667 in the table, we find the corresponding proportion is approximately 0.7461.

To find the number of trials faster than 62 seconds, we multiply the proportion by the total number of trials:

Number of trials = Proportion * Total number of trials

Number of trials = 0.7461 * 39

Number of trials ≈ 29.08

Rounding to the nearest whole number, approximately 29 of the 39 practice trials would be faster than 62 seconds.

#SPJ1

Answer:2,440,000,000

Step-by-step explanation:

Answer:

Third option is the correct answer

Step-by-step explanation:

\(3 {x}^{5} \bigg( 2 {x}^{2} + 4x + 1 \bigg) \\ \\ = 3 {x}^{5} \times 2 {x}^{2} + 3 {x}^{5} \times 4x + 3 {x}^{5} \times 1 \\ \\ = 3 \times 2 {x}^{5 + 2} + 3 \times 4 {x}^{5 + 1} + (3 \times 1) {x}^{5} \\ \\ \red{ \bold{= 6{x}^{7} + 12{x}^{6} +3 {x}^{5} }}\)

Answer:

She would've had 48 dollars by then, so she's short by 2 dollars