pls help me with the algebra assignment

We can write the quadratic equation as -

y = - (x - 25)² + 625

The general form of a quadratic equation is -

y = ax² + bx + c

where -

a, b and c are constants.

Given is that Sameen wants to build a fence around a rectangular area of her yard. The graph shows the area {y} in square feet that she can surround with the fencing that she has, where the breadth is width {x} in feet of the rectangle.

The given coordinates on the parabola are -

(8, 336)

(42, 336)

(25, 625)

Here, the point (25, 625) represents the vertex (h, k) of the parabola.

We can write the equation of parabola as -

y = a(x - h)² + k

y = a(x - 25)² + 625

For the point (8, 336), we can write -

336 = a(8 - 25)² + 625

336 - 625 = a(8 - 25)²

a(8 - 25)² = - 289

a(- 17)² = -289

a = -289/289

a = -1

So, we can write the quadratic equation as -

y = - (x - 25)² + 625

Therefore, we can write the quadratic equation as -

y = - (x - 25)² + 625

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Answer:-(-1,026/3

Step-by-step explanation:

So the y-intercept is 4 the equation of the line in slope-intercept form is:

y = 2x + 4

When the line to be examined's slope is known, and the provided point also serves as the y intercept, the slope intercept formula, y = mx + b, is utilised (0, b).

y = mx + b

m = (y2 - y1) / (x2 - x1)

Using the points (-4, -4) and (1, 6), we can find the slope of the line passing through them:

m = (6 - (-4)) / (1 - (-4)) = 10 / 5 = 2

So the slope of the line is 2.  Let's use the point (1, 6):

y = mx + b

6 = 2(1) + b (substitute m = 2, x = 1)

6 = 2 + b

b = 6 - 2 = 4

So the y-intercept is 4 the equation of the line in slope-intercept form is:

y = 2x + 4

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Answer:

Step-by-step explanation:

45

The two solutions to the linear equation is given by the ordered pairs (0, 6) and (-4, 5).

In order to to graph the solution to the given linear equation on a coordinate plane, we would use an online graphing calculator to plot the given system of equations and then take note of the point that lie on it;

y = 0.25x + 6.00

Next, we would use an online graphing calculator to plot the given system of equations as shown in the graph attached below.

Based on the graph (see attachment), we can logically deduce that a possible solution for the linear equation is the ordered pairs (-4, 5) and (0, 6).

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The expected number of not blue is 54

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

Spinner

Using the above as a guide, we have the following probability

P(Not Blue) = Not Blue/Total

So, we have

P(Not Blue) = 6/9

When it is spun 81 times, the expected number of times is

Times = 6/9 * 81

Evaluate

Times = 54

Hence. the number of times is 54

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The number 7234 can be rounded to the nearest multiple of and it is 7235.

Check the value of the remainder:

If the remainder is less than 2.5, round down to the nearest multiple of 5

If the remainder is 2.5 or greater, round up to the nearest multiple of 5

Rounding off 7234 to the nearest 5 means we need to find the multiple of 5 that is closest to 7234.

Divide 7234 by 5 and get the quotient and remainder

= 7234 ÷ 5

= 1446 with a remainder of 4

Multiply the quotient by 5 and add the value determined.

Using this method, we can see that the nearest multiple of 5 to 7234 is 7235, since the remainder is 4 which is less than 2.5. Therefore, rounding off 7234 to the nearest 5 results in 7235.

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The complete question:

What will be the value when 7234 rounded off to the nearest 5(which will be divisible by 5)?

The possible values of the density curves is mean μ = 30 mpg and the median = 28 mpg

A mathematical function called a probability distribution explains the likelihood of many alternative values for a variable. Graphs or probability tables are frequently used to represent probability distributions.

The mean of probability distribution is also known as expected value. It is denoted by E ( X ). E(X), or mean μ of a discrete random variable X is calculated by multiplying each value of the random variable by its probability and taking the sum of the values.

Given data ,

Let the probability distribution be represented as P

Now , the value of P from the figure is

The balancing point at which a density curve would be in equilibrium if it were formed of solid material is represented by the curve's mean.

A symmetric density curve has the same median and mean.

So , the mean of the probability density curve is μ = 30 mpg

And , the median of the probability density curve lies between 25 and 30

where median = 28 mpg

Hence , the mean and median of the density curve is solved

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The complete question is attached below.

A density curve showing the fuel efficiency of cars is shown.

Which values are the possible measures of center for this density curve? Check all that apply.

Answer:

A and D

Step-by-step explanation:

e2020

The sample size for the confidence interval is given as follows:

n = 185.

A confidence interval of proportions has the bounds given by the rule presented as follows:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The margin of error is given as follows:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The parameters for this problem are given as follows:

[tex]M = 0.071, \pi = 0.41[/tex]

Hence the sample size is obtained as follows:

[tex]0.071 = 1.96\sqrt{\frac{0.41(0.59)}{n}}[/tex]

[tex]0.071\sqrt{n} = 1.96\sqrt{0.41 \times 0.59}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.41 \times 0.59}}{0.071}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.41 \times 0.59}}{0.071}\right)^2[/tex]

n = 185.

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Answer: A great white shark can grow up to 20 feet in length, while a horn shark can grow up to 3 feet in length. Therefore, a great white shark is 17 feet larger than a horn shark.

Bamboo sharks can grow up to 5 feet in length. Therefore, to equal the length of a great white shark, you would need 4 bamboo sharks (since 4 x 5 = 20).

Step-by-step explanation:

Answer:

105 or 40500

Step-by-step explanation:

you have too add or mutilple

Answer:

40% chance

I hope I'm right srry if its wrong

Therefore , the solution of the given problem of equation comes out to be the  2 * √6 is the positive value of the square root of the sum of the roots.

Mathematical formulas frequently use the same variable letter to try to impose uniformity between two claims. Many academic numbers are shown to be equal using mathematical expression, also known as assertions. The normalise divides 12 and b + 6 into two parts using the result y + 6 = 12 as an illustration. It is possible to determine the connection between each sign component and the number of lines. The significance of a symbol usually contradicts itself.

Here,

By modifying the equation y2 + 24 = -11y, we can first convert it to standard quadratic form:

=> y^2 + 11y + 24 = 0

Using the quadratic formula, we can now determine the quadratic's roots:

=> y = (-11 ± √11^2 - 4(1)(24)))/(2(1))

=>   ( -11 ± √(121 - 96))/2

=>  (-11 ± √(25))/2

Thus, y = -8 and y = -3 are the solutions.

What the roots produce is:

(-8) * (-3) = 24

Additionally, the product's square root's positive number is:

=> √(24) = 2 * √(6)

In light of this, 2 * √6 is the positive value of the square root of the sum of the roots.

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The graph of the function P(x) = x^4 - x^3 - 11x^2 + 9x + 18 rises on both ends and intersects the x-axis at x = -2, x = -1, and x = 3. The graph intersects the y-axis at the point (0, 18). The company will break even at the points where P(x) = 0, which are x = -2, x = -1, and x = 3.

The function P(x) = x^4 - x^3 - 11x^2 + 9x + 18 is a polynomial function of degree 4.

To sketch the graph of this function without using technology, we can start by analyzing the end behaviors of the function. As x approaches negative infinity, the leading term of the function, x^4, dominates and the function approaches positive infinity. As x approaches positive infinity, the leading term also dominates and the function again approaches positive infinity. This means that the graph will have a shape that rises on both ends.

Next, we can find the x-intercepts of the function, which are the values of x where P(x) = 0. We can use synthetic division or factorization to find that the function has three real roots: x = -2, x = -1, and x = 3. These values represent the points where the graph intersects the x-axis.

Finally, we can find the y-intercept of the function, which is the value of P(0). We can plug in x = 0 into the function to find that P(0) = 18. This means that the graph intersects the y-axis at the point (0, 18).

Putting all of this information together, we can sketch a rough graph of the function. The graph rises on both ends and intersects the x-axis at x = -2, x = -1, and x = 3. The graph intersects the y-axis at the point (0, 18). The function is positive between x = -2 and x = -1, and between x = 3 and positive infinity. The function is negative between x = -1 and x = 3.

To summarize, the graph of the function P(x) = x^4 - x^3 - 11x^2 + 9x + 18 rises on both ends and intersects the x-axis at x = -2, x = -1, and x = 3. The graph intersects the y-axis at the point (0, 18). The company will break even at the points where P(x) = 0, which are x = -2, x = -1, and x = 3.

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Answer:

Step-by-step explanation:

95 hours

By answering the above question, we may infer that Thus, the 159 feet that make up the perimeter of the area used for the new playground.

A limit is a closed path that encircles, separates, or encompasses a one-dimensional length, a two-dimensional shape. A circle's or an ellipse's perimeter refers to its outermost region. Many practical uses may be made of the perimeter calculation. The radius of an edge is used to calculate a shape's perimeter. Get the circle's radius by multiplying the lengths of the sides of irregular shapes. Every form's perimeter may be determined by multiplying its side lengths. The area around an object is called its perimeter. Your home's walled garden serves as a wonderful example of this. A thing's perimeter is the area surrounding it. A 200 foot barrier will be needed to contain a 50 by 50 foot yard.

Current playground size is 1,575 square feet, or 35 feet by 45 feet.

The difference between the old and new playgrounds is 1,575 square feet.

New playground length = 1,575 square feet / 42 feet 37.5 feet, where new playground width equals new playground area.

We can calculate the perimeter now that we know the new playground's width is around 37.5 feet:

The new playground's perimeter is equal to 2 (length + width).

The new playground's perimeter is 2 (42 feet plus 37.5 feet).

2 is the new playground's perimeter (79.5 feet)

The new playground's perimeter is 159 feet.

Thus, the 159 feet that make up the perimeter of the area used for the new playground.

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The insect measurement that was the most frequent is given as follows:

1 and 1/4 inches.

A dot plot is a simple graphical display that uses dots to represent data values. It is also sometimes called a dot chart or a scatterplot. In a dot plot, each data point is represented by a dot along a number line or axis, where the position of the dot corresponds to the value of the data point.

Hence, a dot plot shows the number of times that each observation appeared in the data-set.

The observation with the most dots is the observation 2/8 of the way between 1 and 2, hence the most frequent observation is given by the following mixed number:

1 and 2/8 = 1 and 1/4 inches.

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The domain of the function shown on the graph is {-3, -2, 2, 3 }.

The domain of a function is the set of all possible input values (also known as the independent variable or x-values ) for which the function produces a valid output (also known as the dependent variable or y-values).

In other words, it is the set of values that can be plugged into the function to produce a meaningful result.

In this case, there are four (4) points on the graph.

The coordinates of the points are;

Since the domain are the set of the x-values, the domain of the function of the graph will be;

Domain : {-3, -2, 2, 3 }

Therefore, option B) {-3, -2, 2, 3 } is the correct answer.

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The set using Roster method is, D = {76, 90, 92, 94, 96}

The roster technique is defined as a method for displaying the elements of a set by listing the elements within brackets.

A roster method example is to write the set of numbers from 1 to 10 as

{1, 2, 3, 4, 5, 6, 7, 8, 9, and 10}.

Given:

Set D is the set of positive two-digit even numbers greater than 74

that do not contain the digit 8

First, Even numbers greater than 74 are

76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98.

Now, Even Number doe not contain 8 are 76, 90, 92, 94, 96.

Using Roster method the set is

D= {76, 90, 92, 94, 96}

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According to the given information, Jeremy is saving approximately $20.56 per week for his new tires.

What is basic arithmetic?

Basic arithmetic refers to the fundamental operations of arithmetic, which include addition, subtraction, multiplication, and division. These operations are used to perform calculations with numbers, such as counting, computing sums, finding differences, calculating products, and determining quotients.

We can use this information to find Jeremy's weekly savings rate.

To find the weekly savings rate, we need to first find out how much Jeremy saves in a week.

For the first month, which is four weeks, Jeremy saves $230.

For the next three months, which is 12 weeks, he saves an additional $329 - $230 = $99.

Therefore, in total, Jeremy saves $230 + $99 = $329 in 16 weeks.

His weekly savings rate is then:

$329 / 16 weeks = $20.56 per week (rounded to the nearest cent)

So, Jeremy is saving approximately $20.56 per week for his new tires.

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Answer:

x=16

Step-by-step explanation:

Mark as brainliest

Answer:

x = 16

Step-by-step explanation:

First find height (h) of the triangle:

15² = 9² + h²

h² = 15² - 9² = 144

h = √144 = 12

Now you can find the base angle Ф of the 12-9-15 triangle:

Ф = sin⁻¹(12/15) = 53.1°

Find the measure of the other base angle by knowing that the sum of the interior angles of a triangle = 180:

180 - 90 - 53.1 = 36.9°

Now you can find x:

tan(36.9) = 12/x

x = 12/tan(36.9) = 16

Answer:

f (3) = 142

Step-by-step explanation:

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Answer:

8.3 units

Step-by-step explanation:

To find the distance between the two points, use the distance formula.

Distance = [tex]\sqrt{(x-x)^2+(y-y)^2}[/tex]

(x, y)

(-1.5, 4)

(-5, -3.5)

[tex]\sqrt{(x-x)^2+(y-y)^2}[/tex] - Formula

[tex]\sqrt{(-1.5--5)^2+(4--3.5)^2}[/tex] - Plug in values

[tex]\sqrt{(3.5)^2+(7.5)^2}[/tex] - Simplify parenthesis

[tex]\sqrt{12.25+56.25}[/tex] - Simplify

[tex]\sqrt{68.5}[/tex] = 8.27647267862 = 8.3

Answer:hunger

Step-by-step explanation:

i hungry

Answer:

6

Step-by-step explanation:

radius is 1/2 the diamiter

Answer:

Step-by-step explanation:

Answer: 6 inches.

Explanation:

Since the radius is 3 inches, the diameter will be twice the size of the radius. The radius is half the width of a circular object. The diameter is the full width. Therefore Omar's lollipop has a diameter of 6 inches.

The true statement is the median age of the attendees in the yoga class is greater than the median age of the attendees in the dance class. (option A).

Median is the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order.

Ages of Yoga students arranged in ascending order: 18, 17, 20, 31, 33, 36, 44

Median = 31

Ages of Dance students arranged in ascending order: 20, 23, 26, 30, 38, 42, 47

Median = 30

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Answer:

your ans please mark me brainiest

The ratio of quarters to the total number of coins is 25:100, or simplified to 1:4.

What is the ratio and proportion ?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as 1 : 3 (for every one boy there are 3 girls).

To find the ratio of quarters to the total number of coins, we need to first calculate the total number of coins.

Total number of coins = number of quarters + number of dimes + number of pennies + number of nickels

Total number of coins = 25 + 20 + 50 + 5

Total number of coins = 100

Therefore, the total number of coins is 100.

The ratio of quarters to the total number of coins is:

Quarters : Total number of coins

= 25 : 100

= 1 : 4

Hence, the answer is option 3. 1/4.

Therefore, the ratio of quarters to the total number of coins is 25:100, or simplified to 1:4.

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Answer:

Using the slope-intercept form, the slope is −2 .

Step-by-step explanation:

Step-by-step explanation:

solution

Equation of line,

y=-2x-2

2x+y=2 - - - - - - -1

Now,

slope of line,

m= -x coefficient/ y coefficient

= -2/1

= -2

Slope of required line which is perpendicular to the line

m.m = -1

-2.m = -1

m = -1/-2

m =1/2

The equation of the line of best fit is ŷ = 0.8x + 3.3

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

X- 14 16 29 42 43 44 47 48

Y- 11 17 31 35 37 37 38 43

When these values are entered in a graphing calculator, we have the following summary:

For the regression equation, we have

ŷ = bX + a

Where

b = SP/SSX = 1055.63/1343.88 = 0.78551

a = MY - bMX = 31.13 - (0.79*35.38) = 3.33764

So, we have

ŷ = 0.78551x + 3.33764

Approximate

ŷ = 0.8x + 3.3

Hence, the equation is ŷ = 0.8x + 3.3

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