at an amusement park, Robin bought a t-shirt for $8 and 5 ticket for ride. she spent a total of $23. How much did each ticket cost?

Answer:

-2

Step-by-step explanation:

f(x)= 5x-12

f(2)= 5(2)-12 = 10 - 12 = -2

Answer: -2

Step-by-step explanation: f(x)= 5x-12

f(2)= 5(2)-12 = 10 - 12 = -2

thats how i do it

Answer:

x = - 6, x = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Assuming you require the solution to the equation

Given

2x² + 9x - 18 = 0

To factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × - 18 = - 36 and sum = + 9

The factors are + 12 and - 3

Use these factors to split the x- term

2x² + 12x - 3x - 18 = 0 ( factor the first/second and third/fourth terms )

2x(x + 6) - 3(x + 6) = 0 ← factor out (x + 6) from each term

(x + 6)(2x - 3) = 0

Equate each factor to zero and solve for x

x + 6 = 0 ⇒ x = - 6

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]

Answer:

$45

Step-by-step explanation:

$12.50÷5=$2.50

$2.50×18=$45

or

12.50/5=n/18

Answer: Cost of 18 boxes is $45.

Step-by-step explanation:

Since we know that

Cost of 5 boxes of cereal = $12.50

We will use "Unitary method":

Cost of 1 box of cereal is given by

[tex]\dfrac{12.50}{5}\\\\=\$2.5[/tex]

So, Cost of 18 boxes would be

[tex]\$2.5\times 18\\\\=\$45[/tex]

Hence, cost of 18 boxes is $45.

Answer:

it is C

Step-by-step explanation:

on edge

Answer:

y=2/3 x+2

Step-by-step explanation:

The equation of a linear graph is given as

y=mx+c

m is the slope of the line while c is the y intercept

As shown from the graph, the y-intercept is 2

The slope can be calculated by diving the height by the length:

2/3

y=2/3 x+2

Answer:

[tex]\displaystyle f^{-1}(x) = -\frac{1}{5}x - \frac{4}{5}[/tex].

Step-by-step explanation:

The question has provided an expression for the function [tex]f(x)[/tex] and is asking for its inverse, [tex]f^{-1}(x)[/tex].

Based on the definition of inverse functions,

[tex]f(f^{-1}(x)) = x[/tex].

Let [tex]y = f^{-1}(x)[/tex].

[tex]f(y) = x[/tex].

[tex]-5 y - 4= x[/tex].

Solve this equation for [tex]f^{-1}(x) = y[/tex]:

[tex]-5y = x +4[/tex].

[tex]\displaystyle y = (-\frac{1}{5})\cdot (x + 4) = -\frac{x}{5} -\frac{4}{5}[/tex].

However, [tex]f^{-1}(x)=y[/tex] As a result,

[tex]\displaystyle f^{-1}(x) = -\frac{x}{5} -\frac{4}{5}[/tex].

Answer:

[tex]\large\boxed{f^{-1}(x)=-\dfrac{x+4}{5}}[/tex]

Step-by-step explanation:

[tex]f(x)=-5x-4\to y=-5x-4\\\\\text{Exchange x to y and vice versa:}\\\\x=-5y-4\\\\\text{Solve for}\ y:\\\\-5y-4=x\qquad\text{add 4 to both sides}\\\\-5y=x+4\qquad\text{divide both sides by (-5)}\\\\\dfrac{-5y}{-5}=\dfrac{x+4}{-5}\\\\y=-\dfrac{x+4}{5}[/tex]

Answer:

[tex]2x-3y=-12[/tex]

Step-by-step explanation:

We can use the point-slope formula given by:

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

The given line passes through the

point (-3,2) and having slope [tex]m=\frac{2}{3}[/tex].

We substitute the given point and slope to get:

[tex]y-2=\frac{2}{3}(x--3)[/tex]

[tex]y-2=\frac{2}{3}(x+3)[/tex]

we clear the fraction to get;

[tex]3y-6=2(x+3)[/tex]

[tex]3y-6=2x+6[/tex]

[tex]3y-2x=6+6[/tex]

[tex]3y-2x=12[/tex]

Or in standard form:

[tex]2x-3y=-12[/tex]

The correct equation for a line passing through the point (-3,2) with a slope of 2/3 is y = 2/3x + 4, which corresponds to option C in the provided choices.

To find a correct equation for a line passing through a specific point with a given slope, we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is the point through which the line passes.

In this problem, we have the point (-3, 2) and a slope of 2/3. Substituting these values into the point-slope form gives us:

y - 2 = 2/3(x + 3).

After multiplying both sides by 3 to eliminate the fraction, the equation becomes:

3(y - 2) = 2(x + 3).

Expanding and simplifying this equation further, we end up with:

3y - 6 = 2x + 6,

or

y = 2/3x + 4, which matches option C.

Therefore, the correct equation for the line passing through the point (-3, 2) with a slope of 2/3 is y = 2/3x + 4.

Answer:

The standard form of the equation for this line can be:

l: 2x + 5y = -15.

Step-by-step explanation:

Start by finding the slope of this line.

For a line that goes through the two points [tex](x_0, y_0)[/tex] and [tex](x_1, y_1)[/tex],

[tex]\displaystyle \text{Slope} = \frac{y_{1} - y_{0}}{x_{1} - x_{0}}[/tex].

For this line,

[tex]\displaystyle \text{Slope} = \frac{(-1) - (-7)}{(-5) - 10} = -\frac{2}{5}[/tex].

Find the slope-point form of this line's equation using

The slope-point form of the equation of a line

should be [tex]l:\; y - y_{0} = m(x - x_0)[/tex].

For this line,

The equation in slope-point form will be

[tex]\displaystyle l:\; y - (-1) = -\frac{2}{5}(x - (-5))[/tex].

The standard form of the equation of a line in a cartesian plane is

[tex]l: \; ax + by = c[/tex]

where

[tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are integers. [tex]a \ge 0[/tex].

Multiply both sides of the slope-point form equation of this line by [tex]5[/tex]:

[tex]l:\; 5 y + 5 = -2x -10[/tex].

Add [tex](2x-5)[/tex] to both sides of the equation:

[tex]l: \; 2x + 5y = -15[/tex].

Therefore, the equation of this line in standard form is [tex]l: \; 2x + 5y = -15[/tex].

Answer:

36

Step-by-step explanation:

area of trapezium is (1/2)×(6+9)×8=60

area of triangle is (1/2)×6×8=24

area of shaded =60 - 24 =36

The area of the shaded region of the trapezoid is 36.

area of trapezium is (1/2)×(6+9)×8=60

area of triangle is (1/2)×6×8=24

area of shaded =60 - 24 =36

Answer:

D. offer possible answers to historical questions.

Step-by-step explanation:

An argument is a statement which a historian proposes. In order to back up the statement the historian provides proof. The argument is then read by other historians and the proof is analyzed. After the analysis if other historians come to the same conclusion which the statement points to then the argument is accepted.

So, this is the way to offer possible answers to historical questions.

Answer:

x > -6

The solution above is graphed correctly in the last option choice.

Step-by-step explanation:

We have been given the equation 2x + 3> -9

In order to graph the solution, we must find the value of x

2x + 3 > -9

Subtract three from both sides

-9 - 3 = -12

2x > -12

Divide both sides by 2

x > -6

To determine how to graph the solution, look at the inequality symbol. If the symbol is "greater than" then you would graph the line going left. If it was "less than" than you would graph the line going right.

In our problem, we have the "greater than" symbol which means we will be graphing our line going to the right, and since we start our line from -6 we know the last option is the correct answer.

Answer:

The correct option is 1, 4 and 6.

Step-by-step explanation:

The given two-way table is

                          WIN          LOSS          TOTAL

HOME GAMES     6               10               16

AWAY GAMES      3                8                11

TOTAL                   9              18               27

Total number of home games won by team is 6 and total number of away games won by team is 3. It means the team is twice as likely to win a home game as they are an away game.

The correct option is 1.

Total number of home games = 16.

Home game won by team is

[tex]\frac{6}{16}=\frac{3}{8}[/tex]

Option 2 is incorrect.

Total games = 27

Total games won by the team = 9

Total part of games won by team is

[tex]\frac{9}{27}=\frac{1}{3}[/tex]

Option 3 is incorrect.

The team played a total of 27 games.

Option 4 is correct.

The team won a total of 9 games.

Option 5 is incorrect.

Total home games loose by team = 10

Total away games loose by team = 8

The team lost more home games than away games.

Option 6 is correct.

Therefore the correct option is 1, 4 and 6.

Answer:

4 and 6

Step-by-step explanation:

took quiz

Answer:

Both a and b

Step-by-step explanation:

Hello

Good Luck

Goodbye ♥

Answer:

x=5

Step-by-step explanation:

10x+5=6x+25

10x=6x+25-5

10x-6x=25-5

4x=20

x=5

GOOD LUCK ! ;)

Answer:

(fog)(x) = x^2

Step-by-step explanation:

Here g(x) = x^2 + 14 becomes the input to f(x):

(fog)(x) = [x^2 + 14] - 14

(fog)(x)  = x^2 (answer)

If the function are f(x) = x - 14 and g(x) = x² + 14. Then the function (fog)(x) will be x².

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The functions are given below.

If the function are f(x) = x - 14 and g(x) = x² + 14

Then the function (fog)(x) will be

(fog)(x) = g(x) - 14

(fog)(x) = x² + 14 - 14

(fog)(x) = x²

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Answer:

25747 is all you mentioned except irrational

Step-by-step explanation:

Whole numbers are counting numbers or also 0. If you can count to it and you can but no one wants to in this cases because that's a big number, then it is a whole number for sure. So 25747 is a whole number which means it is also an integer and also a rational number.  It is definitely not irrational.

25,747 is a positive whole number and thus is classified as an integer. It is also a rational number, but it is not an irrational number. Therefore, 25,747 is both a whole number and a rational number.

The number 25,747 is an example of a positive whole number and can also be classified as an integer. In mathematics, an integer is defined as any whole number without a fractional or decimal component, which can be positive, negative, or zero. Since 25,747 is a whole number greater than zero, it is specifically a positive integer.

A rational number is a number that can be expressed as the ratio of two integers, such as fractions or any number that has a finite or repeating decimal expansion. Clearly, 25,747 qualifies as a rational number since it can be written as 25,747/1.

An irrational number, on the other hand, cannot be expressed as a simple fraction - examples include π (pi) and √2 (the square root of 2), both of which have non-repeating, non-terminating decimal expansions. Therefore, 25,747 is not irrational.

In conclusion, 25,747 is a positive whole number, which means it is an integer and a rational number, but not an irrational number.

Answer:

1 year = 52 weeks.

Divide total weeks by 52 to get total years.

Nearest Thousandth would be 3 decimal places.

3004 weeks / 52 weeks per year = 57.769 years.

Answer:

57.769

Step-by-step explanation:

There are 52 weekends in one year

3004 divided by 52 = 57.7692

Round to the nearest thousandth 57.769

Answer:

Associative property of addition

Step-by-step explanation:

The order of the addition doesn't matter. That is what the brackets show.

Answer:

Step-by-step explanation:

[tex]\bold{Commutative\ Property\ of\ Addition:}\ a+b=b+a\\\\\bold{Inverse\ Property\ of\ Addition:}\ a+(-a)=0\\\\\bold{Commutative\ Property\ of\ Multiplication:}\ a\cdot b=b\cdot a\\\\\bold{Associative\ Property\ of\ Addition:}\ a+(b+c)=(a+b)+c\\\\\text{We have}\ 7+(4+4)=(7+4)+4\\\\\text{It's Associative Property of Addition.}[/tex]

Answer:

D. WXYZ is not necessarily a parallelogram because it is unknown if WC = CY.

Step-by-step explanation:

edge2021

The statement which best explains that the quadrilateral WXYZ can be a parallelogram is D. WXYZ is not necessarily a parallelogram because it is unknown if WC = CY.

Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.

Opposite sides are parallel, and the opposite sides and opposite angles are equal.

In order to find this, we have to know the properties of the diagonals of a parallelogram.

Here given a parallelogram WXYZ.

The diagonals of a parallelogram bisect each other.

That is, if WXYZ is a parallelogram,

WC = CY and ZC = CX

But it is unknown that these are equal.

Hence the correct option is D.

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Answer:

(m - 6n)(3m + 2n)

Step-by-step explanation:

Given

3m² - 16mn - 12n²

Consider the factors of the product of the coefficient of the m² term and the n² term which sum to give the coefficient of the mn term

product = 3 × - 12 = - 36 and sum = - 16

The factors are - 18 and + 2

Use these factors to split the mn term

3m² - 18mn + 2mn - 12n² ( factor the first/second and third/fourth terms )

= 3m(m - 6n) + 2n(m - 6n) ← factor out (m - 6n) from each term

= (m - 6n)(3m + 2n)

Step-by-step explanation:

0.76+0.64/0.76-0.64

1.40/0.12

11.66

is the answer

Answer:

11.4300523

Step-by-step explanation:

cos 40° = 0.7660444431

sin 40° = 0.6427876097

cos 40° + sin 40° = 1.408832053

cos 40° - sin 40° = 0.1232568334

1.408832053 ÷ 0.1232568334 = 11.4300523

Answer:

sqrt(3)

Step-by-step explanation:

Surface area of a sphere = 4pi(r)^2

Solve for r

For this case we have that the sum of 3 consecutive integers is 24, if we represent by means of an equation we have:

[tex]x + (x + 2) + (x + 4) = - 24\\x + x + 2 + x + 4 = -24\\3x + 6 = -24\\3x = -24-6\\x = \frac {-30} {3}\\x = -10[/tex]

Thus, the three consecutive numbers are:

[tex]x = -10\\x = -10 + 2= -8\\x = -10 + 4 = -6[/tex]

Answer:

-10,-8,-6

Answer: [tex]-10,-8,-6[/tex]

Step-by-step explanation:

Let be:

 [tex]x[/tex], [tex]x+2[/tex] and  [tex]x+4[/tex] the three consecutive even integers whose sum is -24

Then, we can write this expression:

 [tex]x+(x+2)+(x+4)=-24[/tex]

Now, we must solve for "x":

[tex]3x+6=-24\\\\3x=-24-6\\\\3x=-30\\\\x=\frac{-30}{3}\\\\x=-10[/tex]

Then you get that the others integers are:

[tex]x+2=-10+2=-8[/tex]

[tex]x+4=-10+4=-6[/tex]

Therefore, the  three consecutive even integers whose sum is -24 are:

[tex]-10,-8,-6[/tex]

Answer:

The zeroes of the function are -3 , -1 , 1 ⇒ 3rd answer

Step-by-step explanation:

* Lets explain the meaning of the zeroes of the function

- The zeroes of the function are the values of x when f(x) = 0

- That means the coordinates of the intersection points between the

 curve and the x-axis

- Ex: If the graph of f(x) intersects the x-axis at points (p , 0) , (q , 0) ,

 (r , 0) then the zeroes of f(x) are p , q , r

* Lets solve the problem

- The graph starts at the bottom left

- It continues up through the x-axis at negative three

- That means it intersects the x-axis at point (-3 , 0)

∴ The first zero of the function is -3

- It goes to a maximum around y equals three

- It goes back down through the x-axis at negative one

- That means it intersects the x-axis again at point (-1 , 0)

∴ The second zero of the function is -1

- It goes to a minimum around y equals negative one

- It goes back up through the x-axis at one

- That means it intersects the x-axis again at point (1 , 0)

∴ The third zero of the function is 1

∴ The function has three zeroes -3 , -1 , 1

* The zeroes of the function are -3 , -1 , 1

Answer: Option B

A reflection about the x-axis, a vertical stretch by a factor of 2, a horizontal shift of 1 unit to the right, and a vertical shift downward of 6 units.

Step-by-step explanation:

If the graph of the function [tex]g(x)=cf(h-h) +b[/tex]  represents the transformations made to the graph of [tex]y= f(x)[/tex]  then, by definition:

If  [tex]0 <c <1[/tex] then the graph is compressed vertically by a factor c.

If  [tex]|c| > 1[/tex] then the graph is stretched vertically by a factor c

If [tex]c <0[/tex]  then the graph is reflected on the x axis.

If [tex]b> 0[/tex] the graph moves vertically  upwards b units.

If [tex]b <0[/tex] the graph moves vertically down  b units

If [tex]h> 0[/tex] then the graph of f(x) moves horizontally h units to the left

If [tex]h <0[/tex] then the graph of f(x) moves horizontally h units to the right

In this problem we have the function [tex]g(x) = -2((x - 1)^2 + 3)[/tex] and our parent function is [tex]f(x) = x^2[/tex]

therefore it is true that [tex]c =-2<0[/tex]  and [tex]b =-6 <0[/tex] and [tex]h=-1<0[/tex]

Therefore the graph is reflected on the x axis, stretched vertically by a factor 2. The graph of f(x) moves horizontally 1 units to the right and shift downward of 6 units.

The answer is (B) A reflection about the x-axis, a vertical stretch by a factor of 2, a horizontal shift of 1 unit to the right, and a vertical shift downward of 6 units.

Final answer:

The correct transformations from f(x) = x² to g(x) = −2[(x − 1)² + 3] are a reflection about the x-axis, a vertical stretch by 2, a horizontal shift 1 unit to the right, and a vertical shift 3 units upwards, which is option (B) in the list provided.

Explanation:

The function g(x) = −2[(x − 1)² + 3] has undergone several transformations from the base function f(x) = x^2. These transformations include a reflection about the x-axis due to the negative sign in front of the equation, indicating that a flip has happened vertically. A vertical stretch by a factor of 2 is also evident from the coefficient 2 before the parenthesis.

The term (x - 1) inside the parenthesis indicates a horizontal shift of 1 unit to the right since we subtract from x to move the graph to the right. Lastly, the +3 at the end of the equation signifies a vertical shift of 3 units upwards, which is a change in the y-value of every point on the graph.

Therefore, the correct sequence of transformations to obtain g(x) from f(x) is: a reflection about the x-axis, a vertical stretch by a factor of 2, a horizontal shift of 1 unit to the right, and a vertical shift of 3 units upwards, which corresponds to option (B) provided by the student.

Answer:

[tex](x^{4}y^{6}+1)(x^{8}y^{12}-x^{4}y^{6}+1)[/tex].

Step-by-step explanation:

We want to expand: [tex]x^{12}y^{18}+1[/tex].

We can rewrite this as the sum of two cubes.

[tex](x^{4})^3(y^{6})^3+1=(x^{4}y^{6})^3+1^3[/tex].

Recall and use the sum of cubes identity: [tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex]

By comparing our newly rewritten expression to this identity, we have [tex]a=x^4y^6[/tex] and [tex]b=1[/tex].

We substitute into the identity to get:

[tex](x^{4}y^{6})^3+1^3=[x^{4}y^{6}+1][(x^{4}y^{6})^2-(x^{4}y^{6})(1)+1^2][/tex].

We now use this rule of exponents :[tex](a^m)^n=a^{mn}[/tex]  to get;

[tex](x^{4}y^{6}+1)(x^{8}y^{12}-x^{4}y^{6}+1)[/tex].

Answer:it is 120 balloons  

Step-by-step explanation:

15 min = 20 balloons

6min = ????? = 20 multipyed by 6=

120                                                                 hope this helps:)

Answer: He can create 8 balloon animals in 6 minutes.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

So, first we have to find the number of balloon animals he can create per minute by dividing the number of balloon animals created in 15 minutes (20) by the number of minutes (15).

Mathematically speaking:

20/15 = 1.3333 balloon animals per minute

Now we multiply the value obtained by 6:

1.333333 x 6 = 8 balloon animals (rounded)

Answer:

The greatest number of the two is 5

Step-by-step explanation:

Ratios = 5 : 4

Total ratio = 5 + 4 = 9

Sum = 99

To determine the greatest number, solve

5/9 × 99

495/9 = 55

and the second no.

4/9 × 99

396/9 = 44

So the numbers are 55 : 44

The greatest number is 5. ( which is 55)

The greater of the two numbers is 55.

Given:

Ratio of the two numbers is 5:4.

Let, the common factor between two numbers be x.

∴ The two numbers are 5x and 4x.

According to the given condition:

⇒ 5x + 4x = 99

⇒ 9x = 99

⇒ x = 11

The two numbers are:

5x = 5 × 11

5x = 55

4x = 4 × 11

4x = 44

Therefore, 55 is the greater of the two numbers.

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Answer:

they are the same line! hence there are infinite number of solutions

Step-by-step explanation:

y-10=3x (rearrange)

we get:  y = 3x + 10 ----------- eq. (1)

2y=6x+20 (divide both sides by 2)

we get:  y = 3x + 10 ----------- eq. (2)

We can see that (1) = (2).

i.e they are the same line! hence there are infinite number of solutions.

24 ounce can / 8 ounces = 3 pizzas per can.

3 pizzas per can x 4 cans = 12 total  pizzas.

The answer is D.

Answer: D.) 12 pizza