Write an expression for the number of tiles Bruce used and an expression for the number of tiles Felicia used. Use x to represent the number of tiles in a box.

Answer:

y = -6/5x - 8

Step-by-step explanation:

Use the slope-intercept form y = mx + b and substitute slope(m) = -6/5 and the point (-5, -2). After that solve for b

y = mx + b

-2 = -6/5(-5) + b

-2 = 6 + b

-8 = b

For the equation  substitute into y = mx + b ;  y = -6/5x - 8

Form the given five quadratics , the one representing the repeated roots is equal to option d. 25x² - 30x + 9 and repeated roots are 3/5 or 3/5.

Quadratics representing repeated roots has discriminant equals to zero.

Standard quadratic equation is:

ax² + bx + c = 0

Discriminant 'D' = b² - 4ac

option a. -x²+ 18x + 81

Discriminant

'D' = 18² - 4(-1)(81)

      = 324 + 324

      = 648

D>0 has distinct roots.

option b. 3x²- 3x - 168

Discriminant

'D' = (-3)² - 4(-3)(-168)

      = 9 - 2016

      = -2007

D< 0 has distinct roots.

option c. x²- 4x -  4

Discriminant

'D' = (-4)² - 4(1)(-4)

      = 16 + 16

      = 32

D>0 has distinct roots.

option d. 25x²- 30x + 9

Discriminant

'D' = (-30)² - 4(25)(9)

      = 900 - 900

      = 0

D = 0 has repeated roots.

Repeated roots are:

x = ( -b ±√D ) / 2a

  = [-(-30)±√0 ]/ 2(25)

  = 30/ 50

  = 3/5.

option e.  x² - 14x + 24

Discriminant

'D' = (-14)² - 4(1)(24)

      = 196 - 96

      = 100

D>0 has distinct roots.

Therefore, the quadratics which represents the repeated roots are given by option d. 25x² - 30x + 9 and its repeated roots are 3/5 or 3/5.

The above question is incomplete, the complete question is:

One of the five quadratics below has a repeated root. (There other four have distinct roots.) What is the repeated root?

a. -x²+ 18x + 81

b. 3x² - 3x - 168

c. x² - 4x - 4

d. 25x² - 30x + 9

e. x² - 14x + 24

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The two most common graphical charting techniques are bar charts and line charts. (Option B)

The two most common graphical charting techniques are bar charts and line charts.

Bar charts are used to represent categorical data by displaying rectangular bars of different heights, where the length of each bar represents a specific category and the height represents the corresponding value or frequency.

Line charts, on the other hand, are used to represent the trend or relationship between data points over a continuous period or interval. Line charts connect data points with straight lines to show the progression or change in values over time or other continuous variables.

Option B) bar charts and line charts accurately represent the two most common graphical charting techniques used in data visualization. Vertical and horizontal charts (option A) are not specific chart types but rather describe the orientation of the axes. Series charts (option C) and printed charts and screen charts (option D) are not commonly used terms in the context of charting techniques.

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Answer:

-15

Step-by-step explanation:

if its just asking for what number would represent a loss of 15 it would be negative 15

i dont know if there's more to the problem or not

Answer:

-15

Step-by-step explanation:

This is because whatever much water was in the tank is now decreasing by 15, therefore, you can write it as -15,

hope this helps!

Based on the given information, the function g has a domain of -18 ≤ x ≤ 13.9 and a range of -10 ≤ g(x) ≤ 6.

The given information provides details about the function g's values at specific points, as well as the domain and range of the function. Let's break down the solution based on the given information:

1. Domain:

The domain of the function g is determined by the range of values of x for which the function is defined. According to the given information, the domain is -18 ≤ x ≤ 13.9.

2. Range:

The range of the function g is determined by the range of values of g(x) for the corresponding values of x within the defined domain. According to the given information, the range is -10 ≤ g(x) ≤ 6.

3. Specific Function Values:

We are also given specific values of the function g at x = 4 and x = -3. We know that g(4) = 1 and g(-3) = -10. These values provide additional information about the behavior of the function at those points.

In summary, based on the given information, the function g has a domain of -18 ≤ x ≤ 13.9, indicating the range of valid input values. The range of the function g is -10 ≤ g(x) ≤ 6, indicating the range of output values. Additionally, the function values g(4) = 1 and g(-3) = -10 provide specific information about the behavior of the function at those points.


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Answer:

give brain list first

Step-by-step explanation:

Answer:

472.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Base (b) = 30 yd

height (h) = 31.5 yd

Area of the triangle

= 1/2 * b * h

= 1/2 * 30* 31.5

=472.5 yd²

Answer:

A.dollors

correcte if I wrong

Answer:

10/52 or when reduced, is 5 over 26 (5/26) and if they want it as a percent, its 19% (.19)

Answer:

5/26

Step-by-step explanation:

For the top part, both equations are vertical angles, so both equations will equal the same angle.

(4 + 23x) = (24x)

4 + 23x = 24x

4 = 24x - 23x

4 = x

Plug in x = 4 into both equations.

4 + 23(4) = 24(4)

4 + 92 = 96

96 = 96

Since x = 4 is a solution for both equations, the angle that is equal to both is 96 degrees.  

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For the bottom part, both equations lie on the same straight line, so adding both equations together will equal 180 degrees.

(x + 120) + (x + 80) = 180

x + 120 + x + 80 = 180

2x + 200 = 180

2x = 180 - 200

2x = -20 (don't worry about having a negative solution)

x = -10

Plug in x = -10 into both equations.

(-10) + 120 + (-10) + 80 = 180

110 + 70 = 180

180 = 180

Since x = -10 is a solution for both equations, the angle for equation (x + 120) is 110 degrees and angle for equation (x + 80) is 70 degrees.

Answer:

a: 6 + x = 25

b: 58x = 500

Step-by-step explanation:

Answer:79°

Step-by-step explanation:

Given the 124° angle, the other angle formed by that line and the top side of the square must be 56°, as they are supplementary angles (they must add up to 180°). This means that the angle formed by that same line and the bottom side of the square is also 56° since it is a corresponding angle and the top and bottom sides of a square are parallel. The angle that a diagonal of a square forms with the sides of a square is always 45°.

So now we have a triangle (in red in my diagram) with angles of 45°, 56°, and x°. The sum of the angles of a triangle must always equal 180°, so we solve for x:

56 + 45 + x = 180

x = 180 - 56 - 45 = 79

So angle x must be 79°.

Answer: The Egyptians, Babylonians, and Archimedes.

Step-by-step explanation: The Egyptians and Babylonians were the first known civilizations to use pi.  At the time, Egyptians devised the approximated value of pi as 3.1605.  Archimedes, however, did the first calculation of pi, with its approximate value of 3.141592 or 3.14 to make it shorter.  

Hopefully, this helps you!

The total number of votes will be equal to 7678.

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 that the residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 6 to 5. If there were 3490 no votes.

The number of yes votes will be,

Y/ N = 6 / 5

Y = ( 6 x N ) / 5

Y = ( 6 x 3490 ) /5

Y = 4188

Total number of votes,

T = Y + N

T = 4188 + 3490

T = 7678

Therefore, the total number of votes will be equal to 7678.

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The solution is found by slope of the graph and the solution is 2,200.

Let x the amount of money per hour and y the total amount of money.

Studio A:-

Rents for 100 dollars plus 50 dollars per hour.

\(y= 100 + 50x\)

So the slope is 50 and the y intercept is 100.

Studio B:-

rents for 50 dollars plus 75 dollars per hour.

\(y= 50 + 75x\)

So the slope is 75 and the y intercept is 50.

ThrTh solution is 2200 , see the gragraphph.

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Complete question:- You and your friends decide to rent some studio time to make a CD. Big Notes Studio rents for $100 plus $50 per hour. Great Sounds Studio rents for $50 plus $75 per hour. Solve the system by graphic method.

The point where the lines carrying the elevations intersect is the orthocenter of a triangle.

A polygon with three edges and three vertices is called a triangle.

It is one of the fundamental geometric shapes.

The symbol for a triangle having vertices A, B, and C is ABC.

In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane (i.e. a two-dimensional Euclidean space).

In other words, every triangle is contained in a plane, and there is only one plane that contains that triangle.

All triangles are enclosed in a single plane if all of the geometry is the Euclidean plane, however, this is no longer true in higher-dimensional Euclidean spaces.

The orthocenter of a triangle is the intersection of the lines that carry the elevations.

Therefore, the point where the lines carrying the elevations intersect is the orthocenter of a triangle.

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In the context of inferential statistics, the variance that exists in a set of sample data is often classified as "error variance" (option a).

Error variance refers to the variability or differences between the observed values in a sample and the true population values. It represents the amount of random error or variation in the data that is not accounted for by the statistical model or factors under investigation.

To calculate the variance, you would typically take the squared differences between each data point in the sample and the sample mean, sum them up, and divide by the number of observations minus one (for unbiased estimation).

Understanding the concept of error variance is crucial in inferential statistics as it helps to quantify the uncertainty and variability in sample data, which ultimately affects the accuracy and reliability of the statistical inferences drawn from the sample to the population.

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Answer:

1/16

Step-by-step explanation:

\((2^{2})^{-2} \\2^{2*(-2)} \\ 2^{-4} \\ \frac{1}{2^{4} } \\\frac{1}{16}\)

Given:

Answer:800

Step-by-step explanation:

The correct expression is,

⇒ 10x - 3

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable.

Given that;

The function is,

⇒ f (x) = 5x² - 3x + 3

Now, We can formulate;

⇒ f (x + h) - f (x) / h

⇒ 5 (x + h)² - 3 (x + h) + 3 ) - ( 5x² - 3x + 3) / h

⇒ 5x² + 5h² + 10xh - 3x - 3h + 3 - 5x² + 3x - 3 / h

⇒ 5h² + 10xh - 3h / h

⇒ 5h + 10x - 3

⇒ lim h → 0 (5h + 10x - 3)

⇒ 10x - 3

Thus, The correct expression is,

⇒ 10x - 3

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a) Approximate Doubling Time Dappx = 70/r, where r is the annual interest rate in percentage terms.Assuming that r = 5%, 10%, 20%, 40%, and 60%Doubling time for 5% = 70/5 = 14 yearsDoubling time for 10% = 70/10 = 7 yearsDoubling time for 20% = 70/20 = 3.5 yearsDoubling time for 40% = 70/40 = 1.75 yearsDoubling time for 60% = 70/60 = 1.1667 yearsb) Exact Doubling Time Dexact = ln2/r where r is the annual interest rate in decimal terms.

Assuming that r = 5%, 10%, 20%, 40%, and 60%For 5%: ln2/0.05 ≈ 13.86 yearsFor 10%: ln2/0.1 ≈ 6.93 yearsFor 20%: ln2/0.2 ≈ 3.47 yearsFor 40%: ln2/0.4 ≈ 1.73 yearsFor 60%: ln2/0.6 ≈ 1.16 yearsc)

The percentage error is given by:(Dexact − Dappx)/Dexact × 100%For 5%: (13.86 - 14)/13.86 x 100% ≈ 1.18%For 10%: (6.93 - 7)/6.93 x 100%

≈ 1.15%For 20%: (3.47 - 3.5)/3.47 x 100%

≈ -0.86%For 40%: (1.73 - 1.75)/1.73 x 100%

≈ -1.15%For 60%: (1.16 - 1.1667)/1.16 x 100%

≈ -0.60%Note that the percentage error is small for lower values of interest rates but increases as the interest rate increases.

Also, the percentage error is negative for 20%, 40%, and 60%, which means that the approximate doubling time is actually larger than the exact doubling time.

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Answer:

=4x-1

Step-by-step explanation:

that is the answer

Upper Control Limit for R Chart: UCL = D4 * R-Bar , UCL = 2.114 * 1.000, UCL ≈ 2.115 cm. Therefore, the correct answer is 2.115 cm(d).

To calculate the upper control limit for the R Chart, we need to use the following formula:

Upper Control Limit (UCL) = D4 * R-Bar

Where:

- D4 is a constant value based on the sample size (n=5 in this case).

- R-Bar is the average range of the samples, which is given as 1.000 cm.

The value of D4 for a sample size of 5 is 2.114. (You can find this value in statistical reference tables.)

Now, we can calculate the UCL:

UCL = D4 * R-Bar

   = 2.114 * 1.000

   = 2.114 cm

Rounding to 3 decimal places, the upper control limit for the R Chart is 2.114 cm.

Therefore, the correct option is: d. 2.115 cm

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The complete question is :

Repeated sampling of a certain process shows the average of all sample ranges to be 1.000 cm. There are 12 random samples and the sample size has been 5. What is the upper control limit for R Chart? Must compute in 3 dec pl. Select one: O a. 2.745 cm O b. 3.005 cm O c. 1.725 cm d. 2.115 cm e. 2.000 cm

Any two points can be at most 1 unit far from each other. As, any two points can lie at maximum distance from each other when they both lie on the boundary of the triangle.

Given, an equilateral triangle of side length 1 unit.

Five points are inside the triangle.

we have to show that there are 2 points at distance of at most 1 unit.

As, Five points lie inside the triangle.

So, any two points can lie at maximum distance from each other when they both lie on the boundary of the triangle.

As, it is given that the side length of the triangle is 1 unit so, the two points can be at most 1 unit far from each other.

Hence, it is shown that any two points can be at most 1 unit far from each other. As, any two points can lie at maximum distance from each other when they both lie on the boundary of the triangle.

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Answer: 0

Step-by-step explanation: If you were to divide 0 by zero, (since x and y both = 0) It would be zero. Plus, zero is NOT negative nor positive, so it would be zero.