Makayla's local movie theater has a moviegoer club that charges an annual registration fee of $25. However, movie tickets are discounted for members at $6. 00 per ticket, instead of the regular $9. 00 per ticket. Let m equal the number of movie tickets Makayla purchases in a year. Write a function to

model the amount of money Makayla spent going to the movies during the year she joined the club

Answer:

The coordinates of the vertex are

(-5;-9)

Answer:

(-5, -9)

Step-by-step explanation:

Use of the coordinate plane, center of the parabola 5 to the left and down 9.

Hope this helped!

Answer:

Look down below for the answer :))

Step-by-step explanation:

y + 6 = 6y

y + 4 = 4y

4y x 6y = 24y

Answer:

m(-6)

Step-by-step explanation:

: "^-3" was replaced by "^(-3)".

  m2 raised to the minus 3 rd power = m( 2 * -3 ) = m-6

Answer:

Option (A)

Step-by-step explanation:

Let the Sine of the given angle θ is,

Sinθ = \(\frac{x}{y}\)

Then θ = \(\text{Sin}^{-1}(\frac{x}{y} )\)

From the given values in the question,

Sinθ = \(\frac{7}{29}\)

θ = \(\text{Sin}^{-1}(\frac{7}{29} )\)

θ = 13.97°

Therefore, measure of the angle 'θ' will be 13.97°.

Option (A) will be the answer.

It is found that the lines c and d are parallel because and 2 and 6 are congruent.

We are given that the measure of the angle 2 , 6 and 7 are 27 degrees.

The measure of the angle 1 is 15 degree,

Since each of the pairs of opposite angles made by two intersecting lines are called vertical angles.

Here we can see that

angle 2 = angle 6 means they are alternate interior angles.

We can conclude that line c and d are parallel to each other.

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Answer:

y=7

Step-by-step explanation:

because -3(-1.5)+2.5= 7

We know that 2 socks are in a pair. Hence, the rate would be like this: 2 socks/pair. We could also represent it as a ratio and fraction. I will choose the fraction form.

             x 17

2 socks   =    34 socks

1 pair    x 17   17 pairs

Therefore, if Vera owns 17 pairs of socks, she will have 34 socks in total.

To simplify a radical expression, we aim to simplify the radical itself by finding perfect square factors and then simplify any remaining factors outside the radical.

For example, if you have the expression √(12x^3), you can simplify it as follows:

√(12x^3) = √(4 * 3 * x^2 * x) = 2x√(3x)

So the simplified form of √(12x^3) is 2x√(3x).

By following these steps, you can simplify radical expressions and write them in a more simplified and concise form.

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Answer:

48.81

Step-by-step explanation:

Since we are given a right triangle, and we are trying to find a angle, we use the

SOH-CAH- TOA.

In relation to the angle, we know a side opposite of the angle and the side adjacent to the angle.

We use Tangent, which states that

\( \tan(x) = \frac{o}{a} \)

Here the opposite side is 8

The adjacent side is 7.

\( \tan(x) = \frac{8}{7} \)

Take the Inverse Tangent,

\( \tan {}^{ - 1} (( \tan(x) ) = \tan {}^{ - 1} ( \frac{8}{7} ) \)

\(x = \tan {}^{ - 1} ( \frac{8}{7} ) \)

Which gives us 48.81

Answer:

∠ A ≈ 48.81°

Step-by-step explanation:

using the tangent ratio in the right triangle

tan A = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{AC}\) = \(\frac{8}{7}\) , then

∠ A = \(tan^{-1}\) ( \(\frac{8}{7}\) )  ≈ 48.81° ( to the nearest hundredth )

The estimated standard deviation of the population is approximately 0.133 (rounded to 3 decimal places).

To estimate the standard deviation of the population, we will use the formula of the standard deviation using the sample means, also known as the standard error. The formula gives the standard error (SE):

SE = (s / √n)

Where:

s is the standard deviation of the sample means

n is the sample size

In this case, we know, the mean of the sample ranges is 0.8, but we don't have the exact sample data. As a result, we are unable to calculate the standard deviation (s).

However, we can an assumption that the sample ranges are normally distributed, which gives us the idea to use the relationship between the range and the standard deviation. For normally distributed data, the range is approximately equal to 6 times the standard deviation. Mathematically, we can express this as:

Range ≈ 6s

Given that the mean of the sample ranges is 0.8, we have the following:

0.8 ≈ 6s

Now, let's solve for s:

s ≈ 0.8 / 6 ≈ 0.133

So, the estimate of the population's standard deviation is approximately 0.133 (rounded to 3 decimal places).

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Answer:

275.04

Step-by-step explanation:

76.4 x 3.6 = 275.04

When White Oak is 15 miles from River City and the scale is 1 in.=3 mi, the distance in the map is 5 inches.

The ratio that describes the relationship between the actual figure and its model is called the scale. It serves as a representation of the actual figures in smaller units on maps. A scale of 1:5, for instance, means that 1 on the map is equivalent to the size of 5 in the real world.

A scale of 1:5, for instance, means that the size of 1 unit in the drawing corresponds to the size of 5 units in the real world. A scale of 1:5 is evident, for instance, if a giraffe that stands 150 inches tall in real life is depicted on the drawing as 30 inches tall.

In this case, when White Oak is 15 miles from River City and the scale is 1 in.=3 mi, the distance in the map is:

= 15 / 3

= 5 inches.

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Answer:

(3,1)

Step-by-step explanation:

When a point is reflected across the y axis, the sign of its x coordinate flips. Since point A is at (-3,-5), when it is reflected across the y axis its new position will be (3,-5). Now, point A is 3 units from the line y=-2, meaning that when it is reflected across it will be 3 units away from the other direction. (-2+(3))=1, meaning that the final coordinates of point A are (3,1). Hope this helps!

Answer:

9 / 100 ; 0.09

Step-by-step explanation:

From the line plot given :

The number of unlabeled ticks marks between any two labeled tick marks can be obtained by :

(Difference between any two successive labeled tick marks / number of tick marks)

Picking the labeled tick marks, 0 and 1/10

(1/10 - 0) / 10

1 / 10 ÷ 10

1/ 10 * 1 / 10 = 1 / 100

To find the marked point : (this is tick mark 9 from 0) ;

Number of ticks * distance between ticks

Location of marked tick = 1 / 100 * 9 = 9 / 100

Decimal equivalent = 9/100 = 0.09

Answer:

yo lol

Step-by-step explanation: meow

Answer:

x = 12

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define equation

2x + 8 = 32

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Answer:

They will fill 16 containers

Step-by-step explanation:

From the question,

They have 20 pounds of strawberries to freeze and they put 1.25 pounds of the strawberry into each freezing containers.

To determine how many freezing containers they will fill, we will divide the total mass of strawberries they have by the mass of strawberry they put into each freezing containers.

Hence,

Number of containers they will fill = Total mass of strawberries that have / Mass of strawberry they put into each container

Total mass of strawberries that have = 20 pounds

Mass of strawberry they put into each container = 1.25 pounds

∴ Number of containers they will fill = 20 pounds / 1.25 pounds

Number of containers they will fill = 16

Hence, they will fill 16 containers.

The equation of the line through the point (3,5) that cuts off the least area from the first quadrant is 5x + 3y - 30 = 0     .

In the question ,

it is given that ,

the required line passes through the points (3,5) and and cuts off the least area from the first quadrant .

Suppose that the line passes through the (t , 0) and (3 , 5) . , where t > 0 .

So , the y intercept will be (0 , 5t/(t - 3))

So , the area of the  triangle in the first quadrant will be ,

= (1/2)×t × 5t/(t - 3)

= 5t²/2(t - 3) .

Differentiating the given area with respect to t ,

we get ,

d/dt 5t²/2(t - 3)  = 5t/(t-3) - 5t²/2(t-3)²

= 5t/2(t-3)²  × (2(t-3)-t)

= 5t/2(t-3)²  × (t-6)

So , the zero of the derivative will be at t = 6 .

So , the points will be (6,0) and (3,5) .

the equation of the line passing through the points (6,0) and (3,5) is

5x + 3y - 30 = 0 .

Therefore , the equation of the line is 5x + 3y - 30 = 0    .

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Answer:

\(3x^2-10x+8=(x-x_1)(x-x_2)=(x-2)(x-\frac{4}{3})\)

Step-by-step explanation:

The general form of a quadratic polynomial is given by:

\(ax^2+bx+c\)    (1)

You have the following polynomial:

\(3x^2-10x+8\)    (2)

In order to complete the factorization you can use the quadratic formula, to obtain the roost of the polynomial. The quadratic formula is given by:

\(x_{1,2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\)    (3)

By comparing the equation (1) with the equation (2) you obtain:

a = 3

b = -10

c = 8

Then, you replace these values in the equation (3):

\(x_{1,2}=\frac{-(-10)\pm \sqrt{(-10)^2-4(3)(8)}}{2(3)}\\\\x_{1,2}=\frac{10\pm2}{6}\\\\x_1=2\\\\x_2=\frac{4}{3}\)

Then, the factorization of the polynomial is:

\(3x^2-10x+8=(x-x_1)(x-x_2)=(x-2)(x-\frac{4}{3})\)

\(\qquad \sf  \dashrightarrow \: 4x + 2 = - 8\)

\(\qquad \sf  \dashrightarrow \: 4x = - 8 - 2\)

\(\qquad \sf  \dashrightarrow \: x = - 10 \div 4\)

\(\qquad \sf  \dashrightarrow \: x = - 2.5\)

The value of x in the equation is 5/2

To solve this question, we have make x the subject of formula.

To solve this problem, we have to make x the subject and we first of all collect like terms and then divide both sides by the coefficient of x

\(4x+2 = -8\)

collect like terms

\(4x+2 = -8\\4x = -8 -2\\4x = -10\)

divide both side by the coefficient of x

\(\frac{4x}{4} =-\frac{10}{4} \\x = \frac{10}{4} \\x = \frac{5}{2}\)

The value of x in the equation is 5/2.

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Answer:

Disagree.

If you rotate the octagon 90° it will look the same.

good luck, i hope this helps :)

Answer:

Disagree

Step-by-step explanation:

If you have any shape and you rotate it 90 degrees, it moves down and to the right, not onto itself.

Answer:

20

Step-by-step explanation:

Triangle inequality says that the third side can only be 18-3...15, that is bigger than 15.

And 18+3... 21, that is smaller than 21.

If the third side is 21, the 18 and the 3 will just lay right on top of the 21 and not make a triangle. So it has to be 20 in order to be a whole number.

Answer:

\(\frac{35}{18}\)

Step-by-step explanation:

my suggestion on solving problems like this is to multiply by a fraction that equals "1" made up of the L.C.M of the fraction denominators (2,4,5 = 20)

\(\frac{20}{20}\) ..... the denominators will clear out leaving \(\frac{15 - 50}{12-30} = \frac{-35}{-18}\)

= 35/18

\( \huge \boxed{\mathfrak{Question} \downarrow}\)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

\( \huge \sf\frac { \frac { 3 } { 4 } - \frac { 5 } { 2 } } { \frac { 3 } { 5 } - \frac { 3 } { 2 } } \\ \)

\( \huge \sf \frac{\frac{3}{4}-\frac{10}{4}}{\frac{3}{5}-\frac{3}{2}} \\ \)

\( \huge \sf\frac{\frac{3-10}{4}}{\frac{3}{5}-\frac{3}{2}} \\ \)

\( \huge \sf\frac{-\frac{7}{4}}{\frac{3}{5}-\frac{3}{2}} \\ \)

\( \huge \sf\frac{-\frac{7}{4}}{\frac{6}{10}-\frac{15}{10}} \\ \)

\( \huge \sf\frac{-\frac{7}{4}}{\frac{6-15}{10}} \\ \)

\( \huge \sf\frac{-\frac{7}{4}}{-\frac{9}{10}} \\ \)

\( \huge \sf-\frac{7}{4}\left(-\frac{10}{9}\right) \)

\( \huge \sf\frac{-7\left(-10\right)}{4\times 9} \)

\( \huge \sf\frac{70}{36} \)

\( \huge \boxed{ \bf\frac{35}{18}\approx 1.944..}\)

Answer:

3/5

3/10

1/10

30

Step-by-step explanation:

The ratio of wins (6) to the total number of games (10, from adding 6, 3, and 1) is 6/10, and in simplest form is 3/5.

They lost 3 games out of 10, so 3/10, which cannot be simplified further.

They tied 1 game out of 10, so 1/10, which also cannot be simplified.

If the total number is 50, and we have to multiply 10 (our original total) by 5 to get to 50, multiply the numerator of our unsimplified original win/total ratio (6) by 5 as well to get 30. So, they have won 30 games.

Answer:

45.09

Step-by-step explanation:

45.086

6 is more than 5, so round up.

Answer:

blue

Step-by-step explanation:

you have to multiply the length x width so 18x8 to get the area for the rectangle which is 144 and then multiply the base and the height then multiply that by 0.5 to get the area for the triangle so it will be 8x6=48 48x0.5=24 then add the area of the triangle to the area of the rectangle so 24+144=168

Answer:

9

Step-by-step explanation:

QR- 2(9-3)=

          2(6)=12

MP- 9+5=14

QRS=MNP

12/8, 15/10, 21/14= 3/1

Scale Factor is 3:1 or 3 to 1

Answer:

graph it on -1/2

Step-by-step explanation:for the y-axis you would put it on -1 and for the x axis put it on 2 :) if its wrong please lmk! or if you need help let me know

The statistical test that would be most appropriate determine the answer the researcher is interest in knowing is a chi-square test.

A chi-square test is a statistical test used to test the relationship between categorical variables. It is used to determine the difference between the expected data and the observed data is due to chance.

Chi squared = \(\frac{(O_{i} - E_{i} )^{2} }{E_{i} }\)

Where:

The researcher is interested in knowing if the response to lowering the legal age for drinking alochol (observed value)) varies by gender (expected value). Thus, a chi-square test would be used.

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