USE A MODEL In 2006, the average ticket price for a National Football League game was $62.38. Since then the cost
has increased an average of $2.54 per year. Write a linear equation to represent the cost C of an NFL ticket y years after 2006.

The expressions that are completely factored are:

The expressions are considered correct because they have been completely factored, meaning they have been written in the form of "a common factor times another expression". This means that the expression on the right side of the equal sign can be simplified into its simplest form.

For example, in the expression 16a5−20a3=4a3(4a2−5), the 4a3 factor is common to both 16a5 and 20a3, so it can be factored out. The expression then becomes 4a3 times (4a2−5), which is the completely factored form.

Similarly, in the expression 12a3+8a=4(3a3+2a), the factor of 4 is common to both the expressions on the right side, so it can be factored out. This results in the completely factored form of 4 times (3a3+2a).

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Answer:

16a^5−20a^3=4a^3(4a^2−5)

and

24a^4+18=6(4a^4+3)

Step-by-step explanation:

Angles in a triangle add up to 180 degrees

The value of x is 85 degrees

A triangle is a polygon which has  three sides and three vertices. It is one of the normal shapes in geometry. A triangle with vertices A, B, and C has three sides & three angles A, B, C.

here, we have,

How to determine the value of x

The total  sum of angles for a triangle is 180 degrees.

So, we have:

x + 35 + 60 = 180

Evaluate the sum

x + 95= 180

Subtract 95 from both sides

x = 85

Hence, the value of x is 85 degrees

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Full question: (SAT Prep) Find the value of x. 35° 60° X

x=?​

Answer:

a: Neither; b: Complementary

Step-by-step explanation:

Complementary= 90 degrees

Supplementary= 180 degrees

For letter a. the answer is neither because 85 +90= 175 degrees, not 90 or 180 degrees.

For letter b. the answer is complementary because 75 +15= 90 degrees.

Answer:

15833.6269741 cm^3.But we can make it 15,833.63 cm^3 rounded to the nearest hundredth.

Step-by-step explanation:

so let’s solve this using the following formula -> \(V=\pi r^2h\).

So if the height is 25 and the radius is 12 them we can plug those numbers into the formula.

\(\pi (12)^2(35)\).

So let’s start by doing 12 squared which is 144 then 144*35 which is 5040.

And now 5040*pi which is 15833.6269741 cm^3.But we can make it 15,833.63 cm^3 rounded to the nearest hundredth.

Id you ant to check if my answer is correct look at the image below.

Answer:

No, this is not the correct amount.

Step-by-step explanation:

Assuming this purchase is being made in the USA, the average federal tax rate on purchased goods is between 2.9% and 7.25% of the price. Let's be generous and assume that wherever you're making this purchase, the sales tax is 7.25%.

7.25% of 11 = .7975, or .80 cents. Add that to 11 to get $11.80.

The extra 91 cents tax is around 12.09% tax which is a lot higher than normal. You're being ripped off!

The zeros and vertex of each quadratic equation are:

Case 1: y = 4 · (x + 2) · (x - 2), Roots: - 2, 2, Vertex: (0, - 16)

Case 2: y = (1 / 2) · (x + 5) · (x - 3), Roots: - 5, 3, Vertex: (- 1, - 8)

Case 3: y = - 2 · (x + 4) · (x + 2), Roots: - 4, - 2, Vertex: (- 3, 2)

Case 4: y = - 2 · (x + 6) · (x + 2), Roots: - 6, - 2

Vertex: (- 4, 8)

Graphically speaking, quadratic functions have the form of the parabola. The zeros are the points of parabola that are on the horizontal axis (x-axis) and the vertex is the only point of the parabola. The factor form of the parabola is:

y = C · (x - r₁) · (x - r₂)

Where:

Now we proceed to determine all the features of the quadratic function:

Case 1

Roots: r₁ = - 2, r₂ = 2

Vertex: (h, k) = (0, - 16)

C = y / [(x - r₁) · (x - r₂)]

C = - 16 / [2 · (- 2)]

C = - 16 / (- 4)

C = 4

Factor form: y = 4 · (x + 2) · (x - 2)

Case 2

Roots: r₁ = - 5, r₂ = 3

Vertex: (h, k) = (- 1, - 8)

C = y / [(x - r₁) · (x - r₂)]

C = - 8 / [(- 1 + 5) · (- 1 - 3)]

C = - 8 / [4 · (- 4)]

C = - 8 / (- 16)

C = 1 / 2

Factor form: y = (1 / 2) · (x + 5) · (x - 3)

Case 3

Roots: r₁ = - 4, r₂ = - 2

Vertex: (h, k) = (- 3, 2)

C = y / [(x - r₁) · (x - r₂)]

C = 2 / [(- 3 + 4) · (- 3 + 2)]

C = 2 / [1 · (- 1)]

C = - 2

Factor form: y = - 2 · (x + 4) · (x + 2)

Case 4

Roots: r₁ = - 6, r₂ = - 2

Vertex: (h, k) = (- 4, 8)

C = y / [(x - r₁) · (x - r₂)]

C = 8 / [(- 4 + 6) · (- 4 + 2)]

C = 8 / [2 · (- 2)]

C = 8 / (- 4)

C = - 2

Factor form: y = - 2 · (x + 6) · (x + 2)

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Answer:

Ben's car can go 450 miles.

Step-by-step explanation:

If Ben's car goes 75 miles on 3 gallons and a full tank of gas is 18 gallons, he can go 6*75 miles until his tank is empty. 75*6 = 450

Hope this helps!

The equation that represent the gross pay is y = 0.12x + 1760. The commission was $10896 and gross pay was $12656

An equation consists of numbers and variables linked together by mathematical operations to form an expression.

A linear equation is in the form:

y = mx + b

Where m is the rate of change and b is the initial value

Let y represent the gross pay for x total sales.

Donald Simmons a $1760 monthly salary plus a 12% commission on merchandise he sells each month, hence:

y = 1760 + 12% of x

y = 0.12x + 1760

Donald's sales were $90,800 for last month. Hence:

a) Commission = 0.12 * $90800 = $10896

b) Gross pay:

y = 10896 + 1760 = $12656

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The cheapest alternative that Valentino can select is to make the computation and discover which is less expensive when compared to others.

The area of mathematics known as algebra is used to portray situations or problems using mathematical expressions.

Given that the info is incomplete, Valentino needs to analyze the three options and make additions for extra charges or deductions for discount and make a purchase of the cheapest alternative.

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The equation to find the cost (c) is C= 0.30b + 0.10.

The cost to make each bracelet is $10.70.

We have,

Shawn buy beads for $0.30 each.

The wire used to make each bracelet costs $0.10.

If C is the cost then the equation for the cost is

C = 0.30b + 0.10

where b is number of beads.

Now, Number of beads = 15 then cost is

C = 0.30(15) + 0.10 = $4.6

and, if number of beads is 20 then the cost is

C = 0.30(20)+ 0.10 = 6.1

Then, the total cost is = 4.6 + 6.1 = $10.7

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Given:

The five number summary of two data sets are given as:

a) 0, 4, 12, 14, 20

b) 2, 8, 14, 18, 20

To find:

The range for the outliers.

Solution:

We know that,

An observation is considered an outlier if it is below \(Q_1-1.5(IQR)\)

An observation is considered an outlier if it is above \(Q_3+1.5(IQR)\)

Where, IQR is the interquartile range and \(IQR=Q_3-Q_1\).

The five number summary of two data sets are given as:

0, 4, 12, 14, 20

Here, \(Q_1=4\) and \(Q_3=14\).

Now,

\(IQR=14-4\)

\(IQR=10\)

The range for the outliers is:

\([Q_1-1.5(IQR),Q_3+1.5(IQR)]=[4-1.5(10),14+1.5(10)]\)

\([Q_1-1.5(IQR),Q_3+1.5(IQR)]=[4-15,14+15]\)

\([Q_1-1.5(IQR),Q_3+1.5(IQR)]=[-11,29]\)

An observation is considered an outlier if it is below -11.

An observation is considered an outlier if it is above 29.

The five number summary of two data sets are given as:

2, 8, 14, 18, 20

Here, \(Q_1=8\) and \(Q_3=18\).

Now,

\(IQR=18-8\)

\(IQR=10\)

The range for the outliers is:

\([Q_1-1.5(IQR),Q_3+1.5(IQR)]=[8-1.5(10),18+1.5(10)]\)

\([Q_1-1.5(IQR),Q_3+1.5(IQR)]=[8-15,18+15]\)

\([Q_1-1.5(IQR),Q_3+1.5(IQR)]=[-7,33]\)

An observation is considered an outlier if it is below -7.

An observation is considered an outlier if it is above 33.

Step-by-step explanation:

Let's keep the missing terms as x,

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

1) 5/12 = x/24

→ x = (24 × 5)/12

→ x = 120/12

→ [ x = 10 ]

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

2) 8/9 = 40/x

→ x = (40 × 9)/8

→ x = 360/8

→ [ x = 45 ]

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

3) 7/x = 28/36

→ x = (7 × 36)/28

→ x = 252/28

→ [ x = 9 ]

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

4) 36:45 = x:15

→ x = (36 × 15)/45

→ x = 540/45

→ [ x = 12 ]

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

5) x:9 = 21:27

→ x = (21 × 9)/27

→ x = 189/27

→ [ x = 7 ]

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

Thus, these are the missing terms.

Answer:

Step-by-step explanation:

Initial value is $400

Value after 9 years is zero

Change in value over 9 years is $400

Rate of change is:

Answer:

Resale value of a refrigerator

The rate of change on the graph :---

(Final amount - initial amount)/(Final year - initial year)

\( \frac{(0 -400)}{(9 - 0)} = \frac{-400}{9} =\boxed{-44.44}✓\\ \)

slope is negative as the amount is decreasing every year

There is no change in its slope as initial and final slope is 1.

What is slope?

In arithmetic, the slope or gradient of a line may be a variety that describes each the direction and therefore the abruptness of the line.

Main body:

formula for slope with two points form is =

y -y₁ =( y₂-y₁ /x₂-x₁ )(x - x₁)

according to question ,

points are (0,0) and (3,3)

y - 0 = (3-0/3-0)(x -0)

y = 3/3 *x

y = x

hence slope of line is 1.

Now points are (0,0) and (-3,-3).

y - 0 = (-3-0/-3-0)(x -0)

y =- 3/-3 *x

y = x

hence slope of line is 1.

So there is no change in its slope.

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Answer:

$960.24

Step-by-step explanation:

Hello!

Let the regular price be x.

38% of x = 0.38x

0.38x = 364.89

The price of the table yesterday was around $960.24.

Answer:

it will also measure 131 degree

hope it helps

131 degree

Answer:

-2 cannot be an answer in the context of this question

Step-by-step explanation:

Because the shapes are physical objects, they can NOT have a negative answer as the area. If just the rectangle had -2 as a solution, it would still be viable since the end result would still be positive but since x is also the measure of the square, it is not viable. It is not possible, in this context, to have a negative solution because its a shape's area.

Answer:

diourfd

Step-by-step explanation:

A z-score of 0 indicates that the person's score is equal to the mean, so they are right at the Average Performance level.the z-score of a person who scored 300 on the exam is 0.

The z-score of a person who scored 300 on the exam, we can use the formula:

z = (x - μ) / σ

where z is the z-score, x is the raw score, μ is the mean, and σ is the standard deviation.

In this case, the person scored 300 on the exam, which is equal to the mean (μ). Therefore, we can substitute these values into the formula:

z = (300 - 300) / 40

Simplifying the equation, we have:

z = 0 / 40

Since any number divided by zero is undefined, we can conclude that the z-score of a person who scored 300 on the exam is 0.

The z-score measures the number of standard deviations a data point is away from the mean. In this case, a z-score of 0 indicates that the person's score is equal to the mean, so they are right at the average performance level.

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Answer:

The interval from -12 to -7

The interval from 6 to 12.

Step-by-step explanation:

The equation is log(x + 9) + log(x 9) = log[(x + 9)(x 9)]. = log(x² − 81)

Here is the equation:

log(x² - 81) = 0.47712

This can be expressed in exponential form:

x² - 81 = 10^(0.47712)

x² = 81 + 3.02343

x² = 84.02343

x ≈ ± 9.1658

The answers are therefore x -9.1658 and x 9.1658.

These intervals are where these solutions occur:

The answer, x -9.1658, can be found in the range from -12 to -7.

- The answer x = 9.1658 is found in the range of 6 to 12.

The appropriate choices are:

- The range between -7 and -12; - The range between 6 and 12.

Answer:

The answer is 7.1cm to 1d.p

Step-by-step explanation:

Area of square =L²

25=L²

√L²=√25

L=5cm

hyp²=opp²+adj²

x²=5²+5²

x²=25+25

x²=50

√x²=√50

x=7.1cm to 1d.p

Answer:

No

Step-by-step explanation:

\(7^{-1}\) is a fraction

using the rule of exponents

• \(a^{-m}\) = \(\frac{1}{a^{m} }\)

then

\(7^{-1}\) = \(\frac{1}{7^{1} }\) = \(\frac{1}{7}\) ← that is a fraction

The coordinates in the solution to the systems of inequalities is (12, 1)

From the question, we have the following parameters that can be used in our computation:

y > -4x + 6

y > 1/3x - 7

Next, we plot the graph of the system of the inequalities

See attachment for the graph

From the graph, we have solution to the system to be the shaded region

The coordinates in the solution to the systems of inequalities graphically is (12, 1)

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Answer:

D

Step-by-step explanation:

8×16=128

2×4=8

128+8=136m^2

answer: D

Answer:

-3 square root of 8 8/3 square root of 9

Because, thinking in a geometric way, we can not combine area and length so x^2, that represent area, can not be added with x which represents length. Other way to think about this is that we can only con combine equal terms, the fact that x^2 has an exponent implies that is not the same term than x, therefore, we can not combine them

The 95% confidence interval for the effectiveness of the blood-pressure drug is given as follows:

\(22.6 < \mu < 24.4\)

The mean, the standard deviation and the sample size for this problem, which are the three parameters, are given as follows:

\(\overline{x} = 23.5, \sigma = 12.2, n = 775\)

Looking at the z-table, the critical value for a 95% confidence interval is given as follows:

z = 1.96.

The lower bound of the interval is then given as follows:

\(23.5 - 1.96 \times \frac{12.2}{\sqrt{775}} = 22.6\)

The upper bound of the interval is then given as follows:

\(23.5 + 1.96 \times \frac{12.2}{\sqrt{775}} = 24.4\)

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Answer:

I believe the value of the dot is -1

Step-by-step explanation:

The reason for my answer was because I went down by two and seen -11,-9,-5,-3,-1,-,1,3,5,9,11.

Answer:

Over 300 students did not support start time after 8:00am

Step-by-step explanation:

Given

\(N = 600\) --- population

\(n = 40\) --- sample

See attachment for dataset

Required [True/False]

Over 300  wants start time after 8:00am

First, we calculate the number of samples that wants start time after 8:00am

\(x = 8:30am\ start + 9:00am\ start\)

For sample 1

\(x_1 = 18\)

The corresponding value of x1 in the overall population is:

\(X_1 = \frac{x_1}{n} * N\)

\(X_1 = \frac{18}{40} * 600\)

\(X_1 = \frac{18 * 600}{40}\)

\(X_1 = \frac{10800}{40}\)

\(X_1 = 270\)

For sample 2

\(x_2 = 19\)

The corresponding value of x2 in the overall population is:

\(X_2 = \frac{x_2}{n} * N\)

\(X_2 = \frac{19}{40} * 600\)

\(X_2 = \frac{19* 600}{40}\)

\(X_2 = \frac{11400}{40}\)

\(X_2 = 285\)

None of X1 and X2 is greater than 300.

Hence, over 300 students did not support start time after 8:00am

None of X1 and X2 is greater than 300. so, over 300 students did not support start time after 8:00 am.

The population is 600 and the sample is 40.

The population of inference refers to the population (or universe) to which the results from a sample survey are meant to generalize.

Over 300 students did not support start time after 8:00 am

For sample 1

\(\rm x_{1} =18\\\)

The corresponding value of x1 in the overall population is:

\(\rm X_{1} =\frac{x_{1} }{n} \times N\\\rm X_{1} =\frac{18}{40} \times 600\\\rm X_{1} =\frac{10800}{40}\\ \rm X_{1} =270\\\)

For sample 2

\(\rm x_{2} =19\)

The corresponding value of x2 in the overall population is:

\(\rm X_{2} =\frac{x_{2} }{n} \times N\\\rm X_{2} =\frac{19}{40} \times 600\\\rm X_{2} =\frac{11400}{40}\\ \rm X_{2} =285\\\)

None of X1 and X2 is greater than 300.

Hence, over 300 students did not support start time after 8:00 am.

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