Write a quadratic equation having the given numbers as solutions.
- 3 and - 1

The number of pizzas delivered to a customer who pays $ 80 is 7 pizzas

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the number of pizzas be x₁ = 2

Let the cost of 2 pizzas be y₁ = $ 25

So , the first point A ( x₁ , y₁ ) = A ( 2 , 25 )

Now ,

Let the number of pizzas be x₂ = 5

Let the cost of 5 pizzas be y₂ = $ 58

So , the second point B ( x₂ , y₂ ) = B ( 5 , 58 )

Therefore , the slope of the 2 points is given by

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 58 - 25 ) / ( 5 - 2 )

Slope m = 33 / 3

Slope m = 11

Therefore , the equation of the line is given by

y - y₁ = m ( x - x₁ )

Substitute the value of m in the equation , we get

y - 25 = 11 ( x - 2 )

y - 25 = 11x - 22

Adding 25 on both sides of the equation , we get

y = 11x + 3

So , the equation of line is y = 11x + 3

Now , the customer pays $ 80 , so to find the number of pizzas the customer gets can be calculated by substituting the value of y = 80

And ,

y = 11x + 3

80 = 11x + 3

Subtracting 3 on both sides of the equation , we get

11x = 77

Divide by 11 on both sides of the equation , we get

x = 7 pizzas

Therefore , the number of pizzas is 7 pizzas

Hence ,

The number of pizzas delivered to a customer who pays $ 80 is 7 pizzas

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To calculate the mean, median, and mode, we first need to know what each of these terms represents. The mean, also known as the average, is the sum of all the values divided by the total number of values. To find the mean, add up all of the values and divide by the number of values. The median is the middle value in a set of data when it is arranged in order from least to greatest. The mode is the value that occurs most frequently in a set of data. Here's an example to illustrate these concepts:

Let's say we have a set of data consisting of the following values: 2, 5, 5, 7, 8, 10, 12. To find the mean, we add up all of the values and divide by the number of values. In this case, the sum of the values is 49 (2+5+5+7+8+10+12) and there are 7 values, so we divide 49 by 7 to get the mean, which is approximately 7. To find the median, we first need to arrange the data in order from least to greatest: 2, 5, 5, 7, 8, 10, 12. The middle value is 7, so that is the median. To find the mode, we look for the value that occurs most frequently. In this case, 5 occurs twice, which is more than any other value, so the mode is 5.
In conclusion, the mean, median, and mode are all measures of central tendency that can be used to describe a set of data. The mean is the average value, the median is the middle value, and the mode is the value that occurs most frequently. When calculating these measures, it is important to carefully consider the data and choose the appropriate method for finding each value.

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Answer:

The total capacity of the container is 30 gallons in volume.

Step-by-step explanation:

Assume that the container total capacity is [x] gallons. Then, according to the question -

7x/10 - 6 = x/2

7x/10 - x/2 = 6

x(0.7 - 0.5) = 6

0.2x = 6

x = 6/0.2

x = 6/(1/5)

x = 30 gallons

Answer:

ok we know the box means 90 degrees and one corner is 63 degrees so in order to get 180 degrees we add 90+63 which is 153 then we take that away from 180 so the answer is 17

Step-by-step explanation:

Hjqjzjzj is a complete* of the following elements has the largest atomic size in the world is the difference between human rights

Answer:

We know:

A+2B=777

2A+B=789

Let's rearrange the first equation to solve for A:

A=777-2B

Now let's plug 777-2B in for A in the second equation, and solve for B:

2(777-2B)+B=789

1554-4B+B=789

1554-789=3B

765=3B

B=255

Now we can substitute 255 in for B in the first rearranged equation, and solve for A:

A=777-2(255)

A=777-510

A=267

So candy bar A has 267 calories, and candy bar B has 255

I Hope it helps

Answer:

the only solution is 0

Step-by-step explanation:

hope this helps

Answer:

I am pretty sure that the answer is 0

Answer:

134

Step-by-step explanation:

Gabriel has 56 cards and divides them evenly among 8 friends, which means each person has 56/8= 7 cards.

So Marcus has 127 + 7 = 134 cards

According to the information, it can be inferred that the option that the quote explains is: The outcome... is situational irony because the opposite of what was expected is what happening.

To identify the correct option that explains the quote we must read the text carefully and the options. Once we have read and understood this information, we can infer which option explains the quote.

In accordance with the above, option A would be the one that explains the quote because options B and C by discarding are fragments of the quote. So these fragments could not explain the same quote that is being used in the text. On the contrary, the paragraph of option A does explain the situation clearly.

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Answer:

b-11

Step-by-step explanation:

fewer here means subtraction

Answer:

i think its b

Step-by-step explanation:

The domain of the quadratic function in this problem is given as follows:

All real values.

The domain of a function is the set of all the possible input values that can be assumed by the function.

On the graph, the domain of the function is given by the values of x of the function.

A quadratic function has no restrictions on the domain, hence it is defined by all the real values.

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Part A: The x-intercept represents the maximum amount of profit the company makes depending on the price of erasers. The intervals would be the prices of the erasers, and they represent the correlation between sale and profit. For example, when each eraser costs $4, the company makes the max profit of $270.

Part B: The average rate of change would be $91.875 and the rate represents that, on average, for each dollar that the price of the eraser jumps, the profit jumps an average of $91.875.

Part C: The constraints of the domain would be things like how the price of the erasers cannot go less than $0 or above $8; 0 \(\leq\) x \(\leq\) 8.

Answer:

Person above is correct I think.

Step-by-step explanation:

Answer:

C. B = (19)(14)

Step-by-step explanation:

Given:

length (l) = 19 in.

width (w) = 14 in.

height (h) = 11 in.

Formula for volume of the rectangular prism = Bh

Base area (B) = l*w

Base area (B) = (19)(14) in.²

Formula for finding base area: B = (19)(14)

At the same rate as his 100-meter freestyle swim in the 2012 Olympics, Nathan Adrian could have completed one loop of a 25-meter pool in 11.88 seconds.

The idea of proportionality can be applied. The time it would take Nathan Adrian to complete one lap in a 25-meter pool is known to be 47.52 seconds for the 100-meter freestyle. Since the tempo is constant while the distance varies, we can establish a ratio:

100 meters / 47.52 seconds = 25 meters / x seconds

where x is the unknown time for one lap in the 25-meter pool.

To solve for x, we can cross-multiply:

100 meters * x seconds = 47.52 seconds * 25 meters

100x = 1188

Dividing both sides by 100, we get:

x = 11.88 seconds

Therefore, at the same rate as his 100-meter freestyle swim in the 2012 Olympics, Nathan Adrian could have completed one loop of a 25-meter pool in 11.88 seconds.

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Answer:

volume of a cylindrical water tank = 70,650cm³

Step-by-step explanation:

volume of cylinder, V = πr²h

where π = 3.14

h = 100cm

r = ?

given is diameter = 30cm

r = d/2 = 30/2 = 15cm

substituting the values in the formula,

V = 3.14 * 15² * 100

= 3.14 * 225 * 100

= 70,650cm³                        

Answer:

How much space it would take up: 706.86 square centimeters of floor space and extend vertically to a height of 100 cm

Volume: 706,500 cm³

Step-by-step explanation:

How much space it would take up:

To determine the space occupied by a cylindrical water tank in a room, we need to consider its dimensions and the area it covers on the floor.

The diameter of the tank is given as 30 cm, which means the radius is half of that, 15 cm.

To calculate the space it occupies on the floor, we need to find the area of the circular base. The formula for the area of a circle is A = πr², where A is the area and r is the radius.

A = π(15 cm)²

A = π(225 cm²)

A ≈ 706.86 cm²

So, the circular base of the tank occupies approximately 706.86 square centimeters of floor space.

The height of the tank is given as 100 cm, which represents the vertical space it occupies in the room.

Therefore, the cylindrical water tank would take up 706.86 square centimeters of floor space and extend vertically to a height of 100 cm in the room.

Volume:

To calculate the volume of a cylindrical water tank, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height.

First, we need to find the radius by dividing the diameter by 2:

Radius = 30 cm / 2 = 15 cm

Now we can calculate the volume:

V = π(15 cm)²(100 cm)

V = 3.14 * 225 cm² * 100 cm

V = 706,500 cm³

Therefore, the cylindrical water tank will occupy a volume of 706,500 cm³ or 706.5 liters.

Answer:

Step-by-step explanation:

Ok well first you need to put 9,000

       4 years-                           207.26

        5% interest rate-

Now add all those together and the 4 years how many days are in 4 years?

Find that out and add all together.

                                                                 Signed,

                                                                              Emily Blevins

Answer:

The correct snswer is

There are three basic methods for solving quadratic equations:factoring, using the quadratic formula, completing the square.

Step-by-step explanation:

hope this works out!!!

Answer:

s=-2

Step-by-step explanation:

Answer:

-2/3 or -0.666667

Step-by-step explanation:

first distribute- 2s+4=4s+8

than combine factors- -4=6s

divide by 6-   s= -4/6

simplify to -2/3

if you need the decimal it is- -0.66666 repeating

Sorry- but- Wouldn't the answer be the same as the the teal curved line? Wouldn't X= 152? Sorry, I'm no genius. .__.

Answer:

Metals which react with steam form the solid metal oxide and hydrogen gas.

In general, the more reactive the metal, the more rapid the reaction. Aluminium is unusual, because it is a reactive metal that does not react with water. Its surface forms a protective layer of aluminium oxide that keeps water away from the metal below.

The apparatus used to react a metal with steam and collect the gas produced is shown below.

Answer:

This is because some metals like aluminium, zinc, iron do not react with hot/cold water ; they react only with steam to form a metal oxide and hydrogen.

Step-by-step explanation:

The probability that both players show rock in the first round is 1/9 or 0.1111 (rounded to four decimal places).

In rock, paper, scissors there are three possible outcomes for each player: rock, paper, or scissors. Assuming both players choose randomly and independently of each other, each player has a 1/3 chance of showing rock in the first round.

To find the probability that both players show rock in the first round, we can use the multiplication rule of probability for independent events. The multiplication rule states that the probability of the intersection of two independent events is the product of their probabilities.

Therefore, the probability that both players show rock in the first round can be calculated as follows:

P(both show rock) = P(player 1 shows rock) x P(player 2 shows rock) P(both show rock) = 1/3 x 1/3 P(both show rock) = 1/9

So the probability that both players show rock in the first round is 1/9 or approximately 0.111.

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We are given the equation:

25 - b² = 4b

it can be simplified into the following:

b² + 4b - 25 = 0

In this simplified equation, we can see that it is very similar to the general form of a quadratic equation [ax² + bx + c = 0]

Therefore, we can say that the given equation is Quadratic

The distance between Bloemfontein and Upington is a distance of 582 kilometers. The distance between two cities may vary depending on the route taken, traffic, and other factors. The distance between these two cities is measured in a straight line, which may not be the actual road distance.

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The slope will be 4/5.

And, The y - intercept will be (0, - 1)

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The points are,

(0, - 1) and (5, 3)

Now,

Since, The slope of the line passing through the points (x₁ , y₁) and (x₂, y₂) is;

m = (y₂ - y₁) / (x₂ - x₁)

So, The slope of the line passing through the points (0, - 1) and (5, 3) is;

m = (y₂ - y₁) / (x₂ - x₁)

m = (3 - (-1)) / (5 - 0)

m = (3 + 1) / 5

m = 4/5

And, The y - intercept is at x  = 0

Thus, The slope will be 4/5.

And, The y - intercept will be (0, - 1)

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Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

Answer: x = \(\frac{-31}{23}\), y = \(\frac{-9}{23}\), z = \(\frac{-83}{23}\)

Step-by-step explanation :Solving system of equations

Given the following system of equation below

 - 4x + 2y + z =1 .......(1)

x − y + 3x =  −5 ........(2)

3x + y − 4z = 10.........(3)

first we solve eq 1 and eq 3:

we get, -13x + 9y = 14 ..........(4)

Now we solve eq 2 and eq 4 and get value of x and y:

we get,  x = \(\frac{-31}{23}\) and y = \(\frac{-9}{23}\)

finally we put value of x and y in eq 1 and get the value of z:

-4(-31/23) + 2(-9/23) + z = 1

106/23 + z = 1

z = 1 - 106/23

z =\(\frac{-83}{23}\)

Hence the solution of equation is (\(\frac{-31}{23}\), \(\frac{-9}{23}\), \(\frac{-83}{23}\))

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Answer:

x=-2 y=7

Step-by-step explanation:

Multiple -5 for the second equation to get -5x-20y=-130. Adding -5x-20y=-130 to 5x+y=-3 should get you -19y=-133. Divide both sides by -19 to get y=7. Subsitute 7 in for y for the first equation. Subtract 7 on both sides to get 5x=-10. Divide both sides by 5 to get x=-2. So, x=-2 and y=7.