the zeros of a quadratic function are ( 0 , 0 ) (0,0) and ( 8 , 0 ) (8,0). what is a possible vertex of the function?

5x + 10 is the simplified form of the expression 2( 3x + 4 ) - ( x - 2 ).

Given the expression in question;

2( 3x + 4 ) - ( x - 2 )

To expand and simplify, get rid of the first parenthesis using distributive property.

2( 3x + 4 ) - ( x - 2 )

3x( 2 ) + 4 ( 2 ) - ( x - 2 )

6x + 8 - ( x - 2 )

For the second parenthesis, the negative sign before it affects everything inside it, hence;

6x + 8 - ( x ) - ( - 2 )

6x + 8 - x + 2

Collect like terms

6x - x + 8 + 2

Add 6x and -x

5x + 8 + 2

Add 8 and 2

5x + 10

Therefore, the simplified form of the expression is 5x + 10.

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No, a triangle cannot have the given angle measures, 115. 1∘, 47. 5∘, 93∘, as sum of these is greater than 180°.

The angle sum of a triangle will always be equal to 180°. The angle sum of a quadrilateral is equal to 360°, and a triangle can be created by slicing a quadrilateral in half from corner to corner. Since a triangle is essentially half of a quadrilateral, its angle measures should be half as well.

The sum of the angles in a triangle is always 180°, and 115.1° + 47.5° + 93° = 255.6°, which is greater than 180°.

Therefore, it is not possible for a triangle to have these angle measures.

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The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent

To determine the correct statement, we need to know the properties of a parallelogram.

These properties includes;

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The stem-and-leaf display and dotplot were used to analyze the data set of the number of times 40 randomly selected first-year students from a university ate at fast food restaurants during a 14-day period.

In the stem-and-leaf display, the data was organized by separating the tens digit (stem) from the ones digit (leaves). The distribution appeared somewhat skewed to the right, with the majority of values concentrated towards the lower end and a few higher values spreading out towards the upper end. The dotplot provided a visual representation of individual data points, with each dot representing one observation. Clusters were observed around the values 4, 6, 12, 15, and 17, indicating higher frequencies of occurrence. An outlier was identified at the value 27, which was notably distant from the rest of the data points. The stem-and-leaf display allowed for a more detailed examination of the distribution, while the dotplot emphasized individual data points and their distribution. Both displays provided valuable insights into the data set, with the stem-and-leaf display offering a broader overview and the dotplot highlighting specific patterns and outliers.

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The least positive integer we can get as the product is 2.

Here we have the following set of numbers:

{-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5}

And we want to take the product between 3 of them and find the least positive integer that we can get as the product.

So it makes sence to choose the smallest absolute value numbers (not zero) such that one is positive and two are negative (we want two negative ones so the signs cancell eachother)

Then we will get:

1*(-1)*(-2) = 2

That is the least positive integer we can get as the product.

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Answer:

y= -1.5x-7 is the equation of the perpendicular line

Here's why:

when we convert 2x-3y=8 to standard form, we get y= 2/3x-8/3. This means the perpendicular line will have a slope of the negative reciprocal of the original one, so the perpendicular slope is -1.5. When we substitute the points (-2,-4) into the equation y=-1.5x+b, we get a b value of -7. So the perpendicular line equation is y= -1.5x-7. You can't the parallel line equation with the points (-2,-4) as it is part of the line 2x-3y=8.

Answer:

2

Step-by-step explanation:

Since FG is congruent to FH, angles FGH and FHG are congruent since angles opposite congruent sides in a triangle are congruent.

By following these steps, you should be able to find the number of counties in Texas with childcare programs offering nighttime care for children.

To answer your question about how many of the 254 counties in Texas have child care programs that state they provide nighttime care for children, we would need to access current data on child care programs in Texas. Unfortunately, I do not have that specific data at the moment. However, I can guide you on how to find this information.
Begin by visiting the Texas Health and Human Services website (https://hhs.texas.gov) as they are responsible for overseeing child care licensing in the state. Look for information on licensed child care facilities that provide nighttime care.
Utilize websites such as Child Care Aware (https://www.childcareaware.org) or Child Care Finder (https://childcarefinder.com), where you can search for child care programs in Texas by county, and filter your search to include only programs offering nighttime care.
You may also want to check with local county websites or contact the County Clerk's office for information on child care programs within their jurisdiction, specifically those offering nighttime care.
Compile the data gathered from the above sources to determine how many of the 254 Texas counties have child care programs providing nighttime care for children.
By following these steps, you should be able to find the number of counties in Texas with child care programs offering nighttime care for children.

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If one angle in an isosceles triangle is 90 degrees then the measure of each angle of an isosceles triangle will be 45 degrees

What is an isosceles triangle ?

A triangle with two equal sides is said to be isosceles. Also equal are the two angles that face the two equal sides. In other terms, an isosceles triangle is a triangle with two sides that have the same length.

If the sides AB and AC of a triangle ABC are equal, then the triangle ABC is an isosceles triangle with B = C. "If the two sides of a triangle are congruent, then the angle opposite to them is likewise congruent," states the theorem that characterizes the isosceles triangle.

Since this triangle's two sides are equal, the base of the triangle is the side that is not equal.

As we know that in an isosceles triangle set of two angles are equal

And

we also know that sum of all the angles of a triangle is 180 degrees

So, According to the question

90 degrees + other angles =180 degrees

other angles = 90 degrees

one angle = 90/2

one angle = 45 degree  

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Answer:

Part A number 2 (see work below)

*please give me brainliest lol*

Step-by-step explanation:

(8r^3 + 2r^2 + 1) - (7 - 7r^3 + 3r^2)

after factoring out the negative, you'll have:

8r^3 + 2r^2 + 1    -7 + 7r^3 - 3r^2

now we combine like terms, and your answer is:

15r^3 - r^2 - 6

hope this helps!

Answer:

See solution( s ) below

Step-by-step explanation:

1.

\(( 2r + 4r^2 - 4r^3 ) - ( 5r^2 - 7r + 3r^3 ) ,\\2r+4r^2-4r^3-\left(5r^2-7r+3r^3\right),\\2r+4r^2-4r^3-5r^2+7r-3r^3,\\\\Simplified, -7r^3-r^2+9r\)

To solve this problem, I distributed the negative to the values in ( ), and grouped like elements!

2.

\(( 8x + 8 )( 8v^2 + 4x - 8 ),\\8x\cdot \:8v^2+8x\cdot \:4x+8x\left(-8\right)+8\cdot \:8v^2+8\cdot \:4x+8\left(-8\right),\\\\Simplified, 32x^2+64v^2x-32x+64v^2-64\)

Expanding the values in ( ), I combined like terms once more, and simplified the expression!

3.

\(54b^7+81b^6 + 72b^4,\\Greatest Common Factor = 9b^4\\Factored, 9b^4\left(6b^3+9b^2+8\right)\)

4.

\(16p^3 +12p^2 + 12p + 9,\\\left(16p^3+12p^2\right)+\left(12p+9\right),\\3\left(4p+3\right)+4p^2\left(4p+3\right),\\\\Factored, \left(4p+3\right)\left(4p^2+3\right)\)

5.

\(x^2 + 8x - 20,\\( x^2 - 2x ) + ( 10x - 20 ),\\x * ( x - 2 ) + 10 * ( x - 2 ),\\\\Factored, ( x - 2 )( x + 10 )\)

6.

\(2\sqrt{ 45 } - \sqrt{ 20 }\\6\sqrt{ 5 } - 2\sqrt{ 5 },\\\\Solution, 4\sqrt{ 5 }\)

The value of arccsc(-4.258), rounded to two decimal places, is approximately -0.23 radians.

The arccsc function, also known as the inverse cosecant function, returns the angle whose cosecant equals a given value. In this case, we need to find the angle whose cosecant is -4.258. To approximate this value, we can use a calculator.

First, we need to find the cosecant of -4.258. Since cosecant is the reciprocal of sine, we can calculate it by taking the reciprocal of the sine of -4.258. Using a calculator, we find that the sine of -4.258 is approximately -0.879. Taking the reciprocal of this value, we get the cosecant as approximately -1.137.

Now, we need to find the angle whose cosecant is -1.137. This is the value we are looking for, which is approximately -0.23 radians. Rounding it to two decimal places, we get the final result of -0.23 radians as the approximate value of arccsc(-4.258).

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The largest area possible is when the length and width of the chicken pen are both 100 feet. In that case, the area of the chicken pen would be 10,000 square feet.

We are given that the farmer has 200 feet of fencing to build a rectangular chicken pen along the side of a barn. We need to find the largest possible area the chicken pen can have.

To do this, we need to find the length and width of the chicken pen such that the total amount of fencing used is 200 feet.

Since the total amount of fencing needed is 200 feet, the length and width of the chicken pen must both be 100 feet. In this case, the area of the chicken pen would be 10,000 square feet.

Therefore, the largest area possible is 10,000 square feet when the length and width of the chicken pen are both 100 feet.

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The volume of the tool box is 2,052 cubic inches.

To find the volume of a rectangular solid, we need to multiply its length, width, and height. In this case, the length is 19 inches, the width is 12 inches, and the height is 9 inches. So, we can use the formula:

Volume = length x width x height

Volume = 19 in. x 12 in. x 9 in.

Volume = 2,052 cubic inches

Therefore, the volume of the tool box is 2,052 cubic inches.

Conclusion: The tool box has a volume of 2,052 cubic inches, which means it can hold that much space or stuff inside it.
The volume of the toolbox is 2052 cubic inches.


To calculate the volume of a rectangular solid, you multiply the length, width, and height of the solid. In this case, the dimensions of the toolbox are 19 inches (length), 12 inches (width), and 9 inches (height).

Step 1: Multiply the length, width, and height:
Volume = Length × Width × Height

Step 2: Substitute the given dimensions:
Volume = 19 inches × 12 inches × 9 inches

Step 3: Perform the multiplication:
Volume = 2052 cubic inches

The volume of the rectangular solid toolbox with sides of 19 inches, 12 inches, and 9 inches is 2052 cubic inches.

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Answer:

m = y-b/x

Step-by-step explanation:

y = mx + b

0 = - y + mx + b

-mx = -y + b

m = -y + b / -x

m = y - b / x

The equation y = mx + b, when isolated for the variable m, gives us m in terms of x, y, and b, as m = (y - b)/x.

Equations are relations between two quantities involving variables raised to multiple powers, making up terms along with numerals.

Isolation is the process of moving one variable to one-side of the equation and everything else on the other side of the equation.

In the question, we are given an equation, y = mx + b, and are asked to write m in terms of x, y, and b.

This means that we need to isolate the variable m, to get an expression equal to m.

The isolation of the variable m can be done as follows:

y = mx + b,

or, y - mx = mx + b - mx {Subtracting mx from both sides},

or, y - mx = b {Simplifying},

or, y - mx - y = b - y {Subtracting y from both sides},

or, -mx = b - y {Simplifying},

or, (-mx)/(-x) = (b - y)/(-x) {Dividing both sides by (-x)}

or, m = (y - b)/x {Simplifying}.

Thus, the equation y = mx + b, when isolated for the variable m, gives us m in terms of x, y, and b, as m = (y - b)/x.

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The integer that can be  inserted on the blank line in the list is: -2

The number line is given as:

-15, -3, ____, -1.5, 2, 3, 5

Now, a number line is defined as a line on which numbers are marked at intervals, used to illustrate simple numerical operations.

In this case, we see that the interval of the number line is from -15 to 5.

Thus, the range of values for the blank space will fall in between those two numbers.

Now, since we have positive 2 on the number line, then we must likely also have the negative one to balance it as the blank number.

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Answer:

7

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

Step-by-step explanation:

First we need to calculate the Total surface area of the cylindrical tank as shown;

TSA of the tank = 2πr² + 2πrh  

TSA of the tank = 2πr(r+ h)  where;

r is the radius of the tank

h is the height

Given

radius = 5.5ft

height = 16ft

Get the surface area;

TSA = 2π(5.5)(5.5+ 16)

TSA = 2π(5.5)(21.5)

TSA = 2π(118.25)

TSA = 2(3.14)(118.25)

TSA = 742.61ft²

If a gallon of paint will cover 130ft^2 of​ surface, then the total number of paint needed will be;

Total number of paint needed = 742.61/130

Total number of paint needed = 5.7

For one coat we will need 5.7gallons of paint

For two coats we will need 2 * 5.7gallons = 11.4

Hence approximately 11 gallons of paints will be needed for the two coats

The surface area of the square base pyramid of slight height 6 inches is 36 in².

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

To calculate the surface area of the square base pyramid, we use the formula below.

Formula:

Where:

From the diagram,

Given:

Substitute these values into equation 1

Hence, the surface area is 36 in².

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Answer:

64

Step-by-step explanation:

Answer:

I think its this:

thirty - seven and six hundred ninety - one hundred thousanths.

Step-by-step explanation:

Hope this is right!

= 4000

= 7000000000

= 4

( to convert back to ordinary form just move the decimal point according to the power. )

Answer:

A. 4000

B. 7000000000

C. 4

Step-by-step explanation:

A. 4×10³

= 4 × 1000

= 4000

B. 7×10⁹

= 7×1000000000

= 7000000000

C. 4×10⁰

(a⁰=1)

= 4×1

= 4

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The percentage of players weighing less than or equal to 233 pounds is 88.04%.

Percentage

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

See attachment for box plot,

From the box plot, the maximum is ,

Max = 244

the maximum is.

Min = 152

Percentage less than 233 is calculated as:

percentage = (233 - min)/ max - min

percentage = (233 - 152)/ 244 - 152

percentage = 81/92

express as percentage,

= 81/92 *100

= 8100/92

= 88.04%

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Answer: 75%

Step-by-step explanation: got it right

Answer:

Part A: 60

Part B: Each cup of coffee costs 2.5 dollars

Part C: Each donut costs 1.75 dollars

Part D: Sonario spent 123.75 dollars in coffee and donut holes

Part E: The number of cups of coffee bought are 25 cups of coffee

The number of donut holes bought are 35 donut holes

Step-by-step explanation:

The given parameters are;

c + d = 60

2.5 × c + 1.75 × d = 123.75

Part A

Whereby the number of cups of coffee bought = c, and the number of donut holes bought = d, then, the total number of cups of coffee and donuts bought is c + d = 60

Part B:

From the second equation for the total cost of cups of coffee and holes of donuts, the coefficient multiplying the variable representing an item is the cost of the item

Therefore, each cup of coffee costs 2.5 dollars

Part C:

Using the method from above, each donut costs 1.75 dollars

Part D:

From the equation for the total cost, Sonario spent 123.75 dollars in coffee and donut holes

Part E:

By the elimination method, we have;

c + d = 60

∴ c = 60 - d

Eliminating c in the equation for the total cost gives;

2.5 × c + 1.75 × d = 2.5 × (60 - d) + 1.75 × d = 123.75

150 - 2.5·d + 1.75·d = 150 - 0.75·d = 123.75

150 - 123.75 = 0.75·d

26.25 = 0.75·d

d = 26.25/0.78 = 35

d = 35

c = 60 - d = 60 - 35 = 25

c = 25

∴ c = The number of cups of coffee bought = 25 cups of coffee

d = The number of donut holes bought = 35 donut holes

Answer:

i. Angela is wrong. Because the diameter of the wheel is not the distance covered all the way round.

ii. The time is 3.14 seconds.

Step-by-step explanation:

The font wheel has a diameter of 10 inches. Thus;

radius = \(\frac{diameter}{2}\)

           = \(\frac{10}{2}\)

           = 5 inches

Circumference of a circle = 2\(\pi\)r

⇒ The circumference of the front wheel = 2\(\pi\)r

                          = 2 x \(\frac{22}{7}\) x 5

                          = 31.4286

The circumference of the front wheel is 31.43 inches.

The total distance to be covered by the mantis = circumference of the front wheel

                                        = 31.43 inches

But,

speed = \(\frac{distance}{time}\)

The scooter moves with a speed of 10 inches per second, so that;

10 = \(\frac{31.43}{time}\)

⇒ time = \(\frac{31.43}{10}\)

            = 3.143 s

The time taken to complete a revolution by the mantis is 3.14 seconds.

Therefore,

i. Angela is wrong. Because the diameter of the wheel is not the distance covered all the way round.

ii. The time is 3.14 seconds.

The features of the ball modeled by the quadratic function are given as follows:

The height of the ball after t seconds is given by the equation presented as follows:

h(t) = -0.2t² + 2t.

The coefficients of the quadratic equation are given as follows:

a = -0.2, b = 2.

Hence the t-coordinate of the vertex, representing the time of the maximum height, is given as follows:

t = -b/2a

t = 2/0.4

t = 5 seconds.

The maximum height is then given as follows:

h(5) = -0.2(5)² + 2(5)

h(5) = 5 feet.

The time to reach the ground is obtained as follows:

-0.2t² + 2t = 0

0.2t² - 2t = 0

0.2t(t - 10) = 0.

Hence:

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The two alleles that have the highest probability of being inherited together are A. G and k.

Alleles that are physically close to each other on a chromosome have a higher probability of being inherited together, a phenomenon known as linkage. The closer two alleles are to each other on a chromosome, the less likely it is that they will be separated by a recombination event during meiosis.

The degree of linkage between two alleles is determined by their relative physical distance on the chromosome. The closer two alleles are, the higher the probability that they will be inherited together.

G and k are the closest alleles to each other on the genetic map and so have a higher probability of being inherited together.

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Answer: The submarine would be 710 feet below the surface after it is finished diving.

Step-by-step explanation:

Given: Each move downward was of 355 feet

If the submarine dives below the surface, heading downward in two moves.

Then, the total distance moved by submarine = 2 (355) feet

= 710 feet

Therefore, the submarine would be 710 feet below the surface after it is finished diving.

Solution

For this case we have a non regular polygon

so then we can conclude that the answer is:

False

Since some polygons can have symmetry lines

The number of child tickets sold that day was 81.

To solve the problem, let's use algebra. Let x be the number of child tickets sold and 3x be the number of adult tickets sold. The total sales can then be expressed as:

6.40x + 9.60(3x) = 950.40

Simplifying this equation:

6.40x + 28.80x = 950.40

35.20x = 950.40

x = 27

This means that 27 child tickets were sold. However, the problem asks for the number of child tickets sold on Friday, when three times as many adult tickets were sold.

So the number of child tickets sold on Friday is:

3x = 3(27) = 81

Therefore, 81 adult tickets and 27 child tickets were sold on Friday, and the revenue was $950.40.

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The equation y = 2x perfectly fits the given points (-1,2), (0,0), (0.1,1), (1,2), as the coefficients are determined to be a = 0, b = 2, and c = 0. This means that the equation represents a straight line passing through the origin (0,0), with a slope of 2.

To fit the given points (-1,2), (0,0), (0.1,1), (1,2) to the equation y = a + bx + cx², we can use the method of least squares regression to find the values of the coefficients a, b, and c that minimize the sum of the squared differences between the actual y-values and the predicted values from the equation.

Using the least squares regression, we can solve a system of linear equations formed by substituting the x and y values from the given points into the equation. In this case, we have four equations:

2 = a - b + c

0 = a

1 = a + 0.1b + 0.01c

2 = a + b + c

Solving these equations, we find that a = 0, b = 2, and c = 0.

Therefore, the equation that best fits the given points is y = 2x, with a = 0, b = 2, and c = 0.

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Given the growth rates of total factor productivity (2%), capital (1%), and labor (1%), and the elasticities of output with respect to capital (0.2) and labor (0.8), the output is estimated to have grown by 1.6%.

To calculate the growth in output, we can use the formula:

Growth in output = Elasticity of output with respect to capital × Growth rate of capital + Elasticity of output with respect to labor × Growth rate of labor + Growth rate of total factor productivity

Plugging in the values:

Growth in output = 0.2 × 1% + 0.8 × 1% + 2% = 0.002 + 0.008 + 0.02 = 0.03 = 3%

Therefore, the output is estimated to have grown by 3% based on the given information.

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