A family buys a total of 32 tickets at a carnival. Ride tickets cost $1.50 each and
food tickets cost $3.25 each. The family pays a total of $90 for the tickets.
store.

The function whose graph is shifted 2 units to the left is y = (x + 2)² .

In the question ,

it is given that the equation is given as y = x² .

we know that when the function y = x² is shifted " a units " to the left , the shifted function becomes y = (x + a)²  ,

we have to find the equation of the graph that is shifted 2 units to the left ,

So , the value of a is 2 ,

and the equation becomes

y = (x + 2)²

so , the equation is y = (x + 2)² .

the graph is shown below .

Therefore, The function whose graph is shifted 2 units to the left is y = (x + 2)² .

The given question is incomplete , the complete question is

Write the function whose graph is the graph of y = x², but is shifted to the left 2 units ?

Learn more about Shifting here

https://brainly.com/question/15532419

#SPJ1

Answer:

Can't be solved

Step-by-step explanation:

Using Pythagoras theorem,

H2= O2 + A2 (where, H= Hypotenuse,O=Opposite,A=Adjacent)

The hypotenuse,H=7feet long

If the opposite side of the triangle is 4 feet longer than the adjacent side, then;

O=A+4

while, A=A

,then using H^2= O^2 + A^2(The 2 are power,that is square)

7^2 = (A+4)^2 + A^2

49= (A+4)(A+4) + A^2

49=A^2 +4A+4A+16 + A^2

49=A^2+8A+16+A^2

(collect like terms)

49-16=A^2+A^2+8A

33=2A^2+8A

Then a quadratic equation,

2A^2+8A=33

2A^2+8A-33=0,

using (-b+/-√4ac) /2a

where b=8, a=2, c=-33

[-8 +/-√4*2*(-33) ]/2(2)

-8 +/-

The function f(x) = [tex]-3x^2[/tex] + 18x + 3 has the maximum value of 30 at x = 3

The quadratic function is

f(x) = [tex]-3x^2[/tex] + 18x + 3

The general form of the quadratic function is

y = [tex]ax^2[/tex] + bx + c

If a < 0, the quadratic function has maximum value

Here the value of a = -3

Therefore the function has maximum value.

Maximum value will be at x = -b / 2a

= -18 / 2(-3)

= -18 / -6

= 3

The maximum value of quadratic function will be (4ac - [tex]b^2[/tex]) /4a

Substitute the value in the equation

(4ac - [tex]b^2[/tex]) /4a = (4×-3×3 - 18×18) / 4×-3

= (-36 - 324 / -12

= -360 / -12

= 30

Hence, the function f(x) = [tex]-3x^2[/tex] + 18x + 3 has the maximum value of 30 at x = 3

Learn more about quadratic function here

brainly.com/question/24973269

#SPJ1

Answer:

Step-by-step explanation:

Yes it does

10 and 15

Answer:

A. the independent and dependent variables are the number of miles and total fee (y = 2.8 + 3.5x)

B. the domain is 0 <= x <= 20 and  range is 2.8≤x≤20

Step-by-step explanation:

The answer to the given question is <0.01.

What is confidence level?

The confidence level is the percentage of times we expect to get near to the same approximate if we run our experiment again or resample the population in the same way. The confidence level is the probability that the null hypothesis is true.

What is p-value?

P-value is the probability of getting the results you did, given that the null hypothesis is true.

When we are conducting a hypothesis testing and we determine the confidence level needed is 99%; then in order to reject the null hypothesis, the p-value needs to be below 0.01 (<0.01).

Learn more about confidence level and p-value at: https://brainly.com/question/15798442

#SPJ4

Step-by-step explanation:

   a-b=10--(1)

Same side interiors(vertical) have sum 180°

   a+b=180--(2)

From both equations

2a=190

   a=95

And

  a-b=10

   b=95-10

   b=85

Alexi will not like the drink because the ratio of liquid to ice is 1/1.

Alexi likes her drink to have a liquid-to-ice ratio of about 1/3. A fast food restaurant put 16 ounces of ice in her 32-ounce cup. We need to find out if Alexi will like her drink or not, and if not, why not.

Let the ratio of the liquid to the ice in the drink be represented by the variable "R". The total volume of the cup is 32 ounces. The amount of ice in the cup is 16 ounces. So the amount of liquid in the drink is the difference between these two amounts. Hence, the amount of liquid in the cup is 32 - 16 = 16 ounces.

The ratio of the amount of liquid to the amount of ice in the drink is calculated below.

R = 16/16

R = 1/1

Hence, the ratio of the amount of liquid to the ice in the drink is 1/1. So, Alexi will not like her drink.

To learn more about ratio, visit :

https://brainly.com/question/13419413

#SPJ4

Answer:

I believe its the FICA and the payroll taxes

Step-by-step explanation:

Answer: 25 cents i am sorry if this is wrong

Step-by-step explanation: 3 dimes are 30 cents plus 50 is 80 plus 35 is $1.15 so then when she removers 3 nickles she is getting rid of 15 cents which would leave $1.00 finally when you remove 75 cents you have 25 cents

An equation in slope-intercept form that represents the situation is C(x) = -267 + 6x.

A linear equation is an equation that has a single variable that is raised to the power of one. When shown on a graph, a linear equation is a straight line that can slope either upward or downward.

The general form of a linear equation is

y = mx + b

Where:

Slope = change in the chirps / change in the temperature

Slope = (117 - 99) / (64 - 61)

Slope = 18 / 3

Slope = 6

99 = a + 6x

99 = a + 6(61)

99 = a + 366

a = 99 - 366

a = -267

C(x) = -267 + 6x

To learn more about linear functions, please check: https://brainly.com/question/26434260

#SPJ1

A source of money that allows individuals to pay for goods and services later is called consumer credit and an advantage of this source of money is that there are no interest charges.

Consumer credit, also known as consumer debt, enables the consumers to incur debt or borrow money and to defer repayment of that money over time. It allows consumers to buy goods without having to pay for them in cash at the time of purchase. Examples of consumer credit include credit cards, student loans, etc. Among the advantages of using consumer credit is that there is no interest charge to borrow the money for a certain period of time until the due date.

Learn more about Consumer credit:

https://brainly.com/question/17237024

#SPJ4

Answer:

  Barlow School has 178 more boys

Step-by-step explanation:

At Barlow School, 4/9 of 873 students are boys. At Willow School, 2/3 of 630 students are girls. You want to know which school has more boys, and by how many.

The number of boys is ...

  4/9 × 873 = 388

The 1/3 of students that are not girls are presumed to be boys. That number is ...

  1/3 × 630 = 210

The difference in the number of boys is ...

  388 -210 = 178

Barlow School has 178 more boys.

Answer:

76

Step-by-step explanation:

Answer:

  -1/11, +1/11

Step-by-step explanation:

You want the two square roots of 1/121.

A square root can be either positive or negative.

  [tex]\pm\sqrt{\dfrac{1}{121}}=\pm\dfrac{1}{\sqrt{121}}=\boxed{\pm\dfrac{1}{11}}[/tex]

__

Additional comment

The √ symbol generally means the principal square root, the positive root. To get the negative root, we precede the symbol with a minus sign. So, both square roots are identified as ±√( ).

The probability that at most eight of ten independently selected specimens have a hardness less than 73.84 is 0.2639.

Probability:

The chance that a particular event (or set of events) will occur is expressed on a linear scale from 0 (impossibility) to 1 (certainty), also expressed as a percentage between 0 and 100%. The analysis of events governed by probability is called statistics.

Here we have to find the probability:

The probability that each specimen has a hardness less than 73.84 is:

p =Ф( Z< 973.84 - 70)/ 3)

= Ф(Z<1.28 ) = 0.899

P(X<=8) = 1 - P(X=9) - P (X=10)

= 0.2639

So out of 10 specimens, the probability that 8 or fewer have a hardness less than 73.84 is 0.2639

To know more about the probability refer to the link given below:

https://brainly.com/question/13604758

#SPJ4

The equation of the line is, y = -3x.

What is point slope form of the line?

A line's point slope form equation is y - y1 = m(x – x1). Consequently,

y - 0 = m(x - 0), or y = mx, is the equation of a line passing through the origin with a slope of m.

Let the line passes through the point (1, -3) and having slope of -3.

Consider, the point slope form of the line,

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

Plug, [tex](x_1, y_1) = (1, -3), m = -3[/tex]

So, the above equation becomes

[tex]y-(-3)=-3(x-1)\\y+3=-3x+3\\y=-3x+3-3\\y=-3x[/tex]

Hence, the equation of line that passes through the point (1, -3) and having slope -3 is y = -3x.

To know more about the point slope form of the line, click on the link

https://brainly.com/question/6497976

#SPJ1

If one leg is of length 5 inches then the lengths of the hypotenuse can be 2.113 inches or 4.5315 inches.

According to the question,

We have the following information:

A right triangle contains a 25° angle and length of one leg is 5 inches.

Now, the leg for which length is given can be opposite to given angle or adjacent to given angle. So, there are two possible for the length of hypotenuse (H).

Now, when it is opposite to the given angle:

Sin 25 = 5/H

H = Sin 25*5

H = 0.4226*5

H = 2.113 inches

Now, when it is adjacent to the given angle:

Cos 25 = 5/H

H = Cos 25*5

H = 0.9063*5

H = 4.5315 inches

Hence, if one leg is of length 5 inches then the lengths of the hypotenuse can be 2.113 inches or 4.5315 inches.

To know more about hypotenuse here

https://brainly.com/question/24107292

#SPJ1

The area of hexagon is found to be 18 square units by using the giving conditions.

P = 6a, where an is the length of one of its sides, is the formula for a regular hexagon's perimeter. Here, the hexagon's interior angles are all 120 degrees.

Given: The perimeters of an equilateral triangle and a regular hexagon are equal.

We need to find the area of the hexagon.

Let,

x = side of trainagle

a = side of hexagon

3x = 6a

x = 2a

Area of equilateral triangle = ([tex]\sqrt{3}[/tex]/4)x² = 12 square units

Area of hexagon is given as follows:

= 6([tex]\sqrt{3}[/tex]/4)a²

= (6[tex]\sqrt{3}[/tex]/4)(x²/4)

= 12(6)/4

= 18 square units

Therefore, the area of hexagon is found to be 18 square units by using the giving conditions.

Learn more about perimeter of hexagon here:

https://brainly.com/question/28821374

#SPJ4

Each part of Nick's and Autumn's expressions mean can be explained as follows;

Nick;

Autumn:

ler

Nick expression:

[tex] {20( \frac{1}{2} })^{w} [/tex]

Where,

the amount of substance he begins with = 20

the amount of substance left after each week = 1/2

If w = 2

[tex] {20( \frac{1}{2} })^{w} [/tex]

[tex]{20( \frac{1}{2} })^{2} [/tex]

= 20(0.25)

= 5 milligrams

Autumn's expression:

[tex] {(1 - 0.5)}^{w} [/tex]

The one outside of parentheses = the initial amount of the substance.

The one inside of parentheses = 100% of the original amount of the substance.

0.5 represents the 50% of the substance that is lost each time period

[tex] {(1 - 0.5)}^{w} [/tex]

[tex] {(1 - 0.5)}^{2} [/tex]

= (0.5)²

= 0.25 milligrams

Complete question:

Nick starts with 20 milligrams of a radioactive substance. The amount of the substance decreases by 1/2 each week for a number of weeks, w. He writes the expression 20(12)w to find the amount of radioactive substance remaining after w weeks. Autumn starts with 1 milligrams of a radioactive substance. The amount of the substance decreases by 50% each week for a number of weeks, w. She writes the expression (1-0.5)w to find the amount of radioactive substance remaining after w weeks. Use the drop-down menus to explain what each part of Nick's and Autumn's expressions mean.

Read more on equation:

https://brainly.com/question/11250752

#SPJ1

Answer:

8, 16, 32

Step-by-step explanation:

using the recursive formula [tex]U_{n+1}[/tex] = 2[tex]U_{n}[/tex] and U₁ = 4 , then

U₂ = 2 U₁ = 2 × 4 = 8

U₃ = 2 U₂ = 2 × 8 = 16

U₄ = 2 U₃ = 2 × 16 = 32

If a line's angle with the x-axis is then, that line's slope will be tanα, and the new road's slope will be tan(0) = 0.

D Street is depicted as a vertical line with a 90° angle of inclination in the accompanying figure. In other words, D Street has an infinite slope.

The new road will therefore have 0° of inclination if it is perpendicular to D street because if they are perpendicular and D street is vertical, the new road is level and has 0° of inclination.

A horizontal line now has zero slopes.

The new road has a zero slope as a result.

To know more about Slope, refer to this link:

https://brainly.com/question/14548961

#SPJ4

A researcher finds 200 women over 50 who exercise regularly, pairs each with a woman who has a similar medical history but does not exercise, then follows the subjects for 10 years to see which group develops more cancer. this is a prospective study.

Individuals are tracked over time in prospective studies, and information is gathered about them as their characteristics or circumstances change. Prospective studies include things like birth cohort studies. In retrospective research, people are sampled, and details about their past are gathered. Always after a predetermined number of incidents, the analysis takes place. The fact that individuals were enrolled and baseline data was obtained before any subjects experienced an outcome of interest identifies a study as prospective.

Given,

A researcher finds 200 women over 50 who exercise regularly, pairs each with a woman who has a similar medical history but does not exercise, then follows the subjects for 10 years to see which group develops more cancer. this is a ...

Prospective study

To learn more about prospective study, visit:

https://brainly.com/question/28565073

#SPJ4

Answer:

Step-by-step explanation:

Answer:

pretty sure its (-6, -4)

Step-by-step explanation:

in the ||| quadrant so I know they are both negative.

The point is 6 units to the left and 4 units down.

Hope this helps! Good luck!

Answer:

-1,4

Step-by-step explanation:

move the point to the left 7 times

The ratio of frames to honey is the same as in a smaller beehive. 200 pounds of honey can be found in Bert's new beehive.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given data:

Number of frame beehives = 6

Pound of honey = 40

Current Frame beehive = 30

The first step is to formulate an equation and then use the formulated equation to find  the number of honey

E = 40 × 30 ÷ 6

E = 40 × 5

E = 200 honey

Therefore the number of honey is 200.

Learn more about the expression  here:

brainly.com/question/28597916

#SPJ1

The two positive numbers are 5 , 5.

Given:

Product of two positive numbers = 25

sum of these number is minimum.

Let a and b be the two positive numbers.

a*b = 25

b = 25/a

sum s = a+b

= a + 25/a

apply derivation on both sides.

ds/da = 1 - 25/[tex]a^{2}[/tex]= 0.

1 = 25/[tex]a^{2}[/tex]

a = [tex]\sqrt{25}[/tex]

a = 5 , -5

since given are positive numbers so 5 is considered.

b = 25/5

b = 5

Therefore the two positive numbers are 5 , 5.

Learn more about the two positive numbers here:

https://brainly.com/question/17865861

#SPJ1