write each equation in point slope form.
y+5=-6(x+7)
and y+2 =1/6(x-4)

Answer:

x=3

Step-by-step explanation:

x-3=0

so move the three to the other side of the equal sign to get

x=3

when you move a number to the other side you have to change the sign so your answer is x=3

PLEASE RATE!! I hope this helps!!

Answer:

Step-by-step explanation:

a = 32 ÷ 4

a = 8

Answer:

1 5/7

Step-by-step explanation:

I literally just took the test so yeah

Answer:

I think the answer is 2 3/7. because you are decreasing 1/7.

Step-by-step explanation:

Answer:

11.

A) EZ Pay Plan=0.15x

B) 40 to Go Plan=0.05x+40

12.

0.15x=0.05x+40

13.

x=400 minutes

14. The solution is the amount of minutes that it takes for both plans to cost the same amount. X has one solution, so it accounts for both equations.

15. EZ Pay Plan

Step-by-step explanation:

For 11, what you need to know is that the slope (coefficient of x) is the price per minute. 0.15 per minute and 0.05 per minute are charged, and therefore are the slope for those equations. The 40 on B is because it is the y intercept. No matter how long you use the object, you will always pay at least 40 dollars.

For 12, you have to find x for the minutes used.

For 13, if you do the process algebraically,

0.15x=0.05x+40  

0.10x=40     (subtracted 0.05x from both sides)

x=400       (divided 0.10x and 40 by 0.10)

For 14, (no explanation)

For 15, if you substitute 200 as x, you would see that the EZ Pay Plan would make you pay 30 dollars while the 40 To Go Plan would make you pay 10+40 dollars, which 30<50.

(sorry for late response)

The correct property of the quadratic parent function is given by:

B. Its vertex is at the origin.

The quadratic parent function is modeled by:

y = x².

It has the vertex at the origin and increases to the left and to the right, into quadrants I and II, forming a function that is graphed by a parabola.

Hence the correct option regarding a property of the quadratic parent function is given by:

B. Its vertex is at the origin.

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Answer:

Therefore, the actual building is 346.5 feet taller than the model. The answer is 346.5 feet.

Step-by-step explanation:

To find out how much taller the actual building is than the model, you can use the following formula: (Actual height - Model height) = Difference in height.Plugging in the given values, you get: (350 feet - 0.01*350 feet) = Difference in heightSimplifying this equation gives: (350 feet - 3.5 feet) = Difference in height

Answer:

10 x 6,000 is 60,000. now divide it by ten. its 6,000 because its 1/10 of it so yes, 6,000

Answer:

you have 12 avacados

Step-by-step explanation:

The question didn't ask how many halves you had. you have this question asking you how many you have TOTAL. not cut in half. if it was in half, you would have 24 halves

The expression two hundred and fifty six x^4 minus one thousand two hundred and ninety six y⁴ will be 16(4²x⁴ - 9²y⁴)

It should be noted that expressions simply means one or more number or variables that are used to represent a data or a particular information.

It should be noted that two hundred and fifty six x⁴ minus one thousand two hundred and ninety six y^4 will be expressed as:

256x⁴ - 1096y⁴

In this case, there's a common factor between 256 and 1096. This will give a result as:

= 16(16x⁴ - 81y⁴)

= 16(4²x⁴ - 9²y⁴)

= 16[(4x)² - (9y²)²][(4x²)² + (9y²)²]

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Answer:

6 1/4

Step-by-step explanation:

1/2 = 2/4

2/4 + 3/4 = 5/4 which is 1 1/4 simplified.

Then add the whole numbers, 2 + 3 = 5

5 + 1 1/4 = 6 1/4

Tomas rides 6 1/4 miles everyday.

The estimated federal income tax withholding using the percentage method for the given scenario would be $1,940 + $1,680 = $3,620.

To calculate the federal income tax withholding using the percentage method, we need the specific tax rates and brackets for the given income level. The tax rates and brackets may vary depending on the tax year and filing status.

Since you mentioned using the pre-2020 Form W-4, I will assume you are referring to the 2019 tax year. In that case, I can provide an estimate based on the tax rates and brackets for that year.

For a married employee filing jointly in 2019, the federal income tax rates and brackets are as follows:

- 10% on taxable income up to $19,400

- 12% on taxable income between $19,401 and $78,950

- 22% on taxable income between $78,951 and $168,400

- 24% on taxable income between $168,401 and $321,450

- 32% on taxable income between $321,451 and $408,200

- 35% on taxable income between $408,201 and $612,350

- 37% on taxable income over $612,350

To calculate the federal income tax withholding, we need to determine the taxable income based on the employee's earnings and filing status. Assuming no other deductions or adjustments, the taxable income can be calculated as follows:

Taxable Income = Earnings - Standard Deduction - (Withholding Allowances * Withholding Allowance Value)

For the 2019 tax year, the standard deduction for a married couple filing jointly is $24,400, and the value of one withholding allowance is $4,200.

Using the given information of earning $62,000 and claiming 1 federal withholding allowance, we can calculate the taxable income:

Taxable Income = $62,000 - $24,400 - (1 * $4,200) = $33,400

Now we can apply the tax rates to determine the federal income tax withholding:

10% on the first $19,400 = $19,400 * 10% = $1,940

12% on the remaining $14,000 ($33,400 - $19,400) = $14,000 * 12% = $1,680

Therefore, the estimated federal income tax withholding using the percentage method for the given scenario would be $1,940 + $1,680 = $3,620.

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Functions are used to represent graphs, and vice versa.

The function represented by the graph is \(f(x) =- |x + 4| + 3\)

The graph (see attachment) is an absolute value graph.

An absolute value graph is represented as:

\(f(x) =a |x - h| + k\)

Where

\(Vertex = (h,k)\)

The vertex is the minimum or the maximum point on the graph.

So, we have:

\(Vertex = (-4,3)\)

The function becomes

\(f(x) =a |x + 4| + 3\)

The function also passes through the point (-1,0).

So, we have:

\(0 =a |-1 + 4| + 3\)

\(0 =a |3| + 3\)

Remove the absolute bracket

\(0 =3a + 3\)

Subtract 3 from both sides

\(3a =- 3\)

Divide both sides by 3

\(a =- 1\)

Substitute -1 for (a) in \(f(x) =a |x + 4| + 3\)

\(f(x) =- |x + 4| + 3\)

Hence, the function represented by the graph is \(f(x) =- |x + 4| + 3\)

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Answer:

x * 3/8(s) = 5/4

5/4 ÷ 3/8(s) = x

Step-by-step explanation:

Answer:

Step-by-step explanation:

How many 3/8 are in 5/4? We can set this number as x. Therre are x number of 3/8 that make up 5/4:

Therefore the PART A is: x* 3/8 = 5/4

On the other hand, 5/4 / 3/8 = x (this is just the reverse of what I mentioned earlier)

I hope this helps! :)

The number of students that are in both the Categories A and B are 16 students.

In the question ,

it is given that ,

the total number of students in category A and category B is 32 students .

which is represented as A union B ,

that is n(AUB) = 32 ,

the number of students in category A = n(A) = 24

the number of students in category B = n(B) = 24

we need to find the number of students that are in both category ,

that is n(A∩B) .

we know that ,

n(AUB) = n(A) + n(B) - n(A∩B)

Substituting the values , we get

n(A∩B) = 24 + 24 - 32

= 48 - 32

= 16

Therefore , The number of students that are in both the Categories are 16 students.

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In the figure, of the triangle the required sides are

7. XZ = 16 and ZR = 8

8. XR = 66 and ZR =22

9. VP = 21 and ZP = 7

10. VZ =  34 and ZP = 17

11. YZ = 20 and YO = 30

In a triangle, the centroid is marked by the region 2/3 from the vertex and 1/3 from the base. This concept is used to solve for the required parts as below

7. When XR = 24

XZ = 2/3 * 24 = 16

ZR = 1/3 * 24 = 8

8. If XZ = 44

XR = 44 x 3/2 = 66

ZR = 1/3 * 66 = 22

9. If VZ = 14

VP = 3/2 * 14 = 21

ZP = 1/3 * 21 = 7

10. If VP = 51

VZ = 2/3 * 51 = 34

ZP = 1/3 * 51 = 17

11. if ZO = 10

YZ = 2 * 10 = 20

YO = 3 * 10 = 30

12. if YO = 18

YZ = 2/3 * 18 = 12

ZO = 1/3 * 18 = 6

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Answer:

Step-by-step explanation:

Answer:

x = 8; y = 29

Step-by-step explanation:

In a parallelogram, opposite angles are congruent.

8x = 7x + 8

x = 8

4y = y + 87

3y = 87

y = 29

Answer:

x = 8

y = 29

Step-by-step explanation:

Please let me know if you want me to write an explanation for my answer :)

Answer: D

Step-by-step explanation:

Step-by-step explanation:

To find the total cost, we need to multiply the weight of each type of soup by its respective price per kilogram and then add up the costs.

The cost of 5 kg of chicken chili is:

5 kg * $0.83/kg = $4.15

The cost of 5 kg of tortilla soup is:

5 kg * $0.51/kg = $2.55

The cost of 3 kg of lobster bisque is:

3 kg * $2.02/kg = $6.06

The total cost of all three types of soup is:

$4.15 + $2.55 + $6.06 = $12.76

Therefore, the total cost of the soups is $12.76.

Answer: $12.76

Step-by-step explanation:

chicken chili = 0.83/kg

5kg x 0.83/kg = $4.15

tortilla soup = 0.51/kg

5kg x 0.51/kg = $2.55

lobster bisque =2.02/kg

3kg x 2.02/kg = $6.06

$4.15 + $2.55 + $6.06 = $12.76

We are given two paraboloids as:z = (-9/2)(x^2 + y^2)andz = 5 - 2(x^2 + y^2)The volume of the solid enclosed between the two paraboloids is given byV = ∫∫R[(5 - 2(x^2 + y^2)) - (-9/2)(x^2 + y^2)] d\(z = (-9/2)(x^2 + y^2)andz = 5 - 2(x^2 + y^2)\)A

where R is the region in the xy-plane that is bounded by the circular region of radius a centered at the origin.We can rearrange the equation and simplify it as follows:V = ∫∫R (23/2)x^2 + (23/2)y^2 - 5 dAWe will use polar coordinates (r, θ) to evaluate the integral, and the limits of integration for the radius will be 0 and a, and the limits of integration for the angle will be 0 and 2π.

Hence, we can rewrite the integral as:V = ∫[0, 2π] ∫[0, a] (23/2)r^2 - 5r dr dθEvaluating this integral:V = ∫[0, 2π] [23/6 * a^3 - 5/2 * a^2] dθV = 4π [23/6 * a^3 - 5/2\(V = ∫[0, 2π] ∫[0, a] (23/2)r^2 - 5r dr dθ Evaluating this integral:V = ∫[0, 2π] [23/6 * a^3 - 5/2 * a^2] dθV = 4π [23/6 * a^3 - 5/2 * a^2]V = (46/3)πa^3 - 10πa^2\) * a^2]V = (46/3)πa^3 - 10πa^2Hence, the volume of the solid enclosed between the two paraboloids is (46/3)πa^3 - 10πa^2.The explanation has a total of 152 words.

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To cut a 14-inch pizza into three equal area pieces using two parallel cuts placed symmetrically from the center, each piece will have an area of 150.

As we need to cut a 14-inch pizza into three pieces of equal area using two parallel cuts, we have to follow the steps given below

:Step 1: Cut the pizza with a line that goes through the center of the pizza and marks its diameter. This cut separates the pizza into two equal halves.

Step 2: The second cut needs to be made parallel to the first cut and needs to be at a distance of approximately 1/3 the diameter of the pizza from the first cut.

Step 3: Then, the pizza will be separated into three equal area pieces as required. As we have to cut the pizza into three equal area pieces, the area of each piece will be 150 square inches.

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Answer:

To figure out how many adults and children bought tickets, we can set up a system of equations using the information provided. Let x be the number of adults and y be the number of children. We know that:

x + y = 500 (because a total of 500 people bought tickets)

17.95x + 12.95y = 7355 (because the total revenue from ticket sales is $7355)

We can use the first equation to solve for one of the variables in terms of the other variable. For example, we can substitute y = 500 - x into the second equation:

17.95x + 12.95(500 - x) = 7355

This simplifies to:

17.95x + 6475 - 12.95x = 7355

5x = 1880

x = 376

so there are 376 adults bought tickets and 500-376=124 children bought tickets.

Step-by-step explanation:

Answer:

26m - (11m) 4m

Step-by-step explanation:

The geometric mean of the pair of numbers 99 and 11 is approximately 33.  (option b)

To find the geometric mean of a pair of numbers, we multiply the numbers together and then take the square root of the result. Mathematically, the formula for calculating the geometric mean of two numbers, let's say a and b, is:

Geometric Mean = √(a * b)

Now, let's apply this formula to the numbers 99 and 11:

Geometric Mean = √(99 * 11)

First, we multiply 99 and 11:

Geometric Mean = √(1089)

Next, we take the square root of 1089:

Geometric Mean = √(1089) ≈ 33

In this case, the correct answer is option b: 33.

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The probability density of a random variable is given in the form of a triangular shape with co-ordinates (0, 0), (0.5, 2), (1, 0). The probability that X is at least 0.5 is equal to the area under the curve of X when x  0.5. Option (c) 1/2 is the correct answer.

Given, probability density of a random variable x is given in the following figure.The probability that x is at least 0.5 can be calculated as follows:

From the given graph, it is observed that the probability density of a random variable is given in the form of a triangular shape with the following co-ordinates (0, 0), (0.5, 2), (1, 0).The probability density function of a continuous random variable X is represented by the area under the curve.The probability that X is at least 0.5 is equal to the area under the curve of X when x ≥ 0.5.

The total area under the curve is given as follows:

Area of triangle OAB = 1/2 × OA × OB

= 1/2 × 0.5 × 2

= 0.5

The probability that X is at least 0.5 can be calculated as follows:

Area under the curve for X when x ≥ 0.5= Area of triangle OCD

= 1/2 × CD × OD

= 1/2 × (1 – 0.5) × (2 – 0)

= 0.5

The probability that X is at least 0.5 is 0.5 or 1/2. Therefore, option (c) 1/2 is the correct answer.

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The value of p is p = 3.17.

What is a linear equation in one variable?

The linear equation in one variable is an equation that is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.

The given equation is 9p-3p-5=19.

To solve for p, we need to isolate the p term on one side of the equation. Currently, p is part of the term 9p-3p, which can be simplified to 6p.

We can then rewrite the equation as:

6p = 19

To solve for p, we need to divide both sides by 6:

p = 19/6

= 3.17

Therefore, the value of p is p = 3.17.

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To find dw/dt using the chain rule, we need to differentiate w = x + y with respect to t. We are given that x = e^t, y = 2 + sin(2t), and z = 2 + cos(5t).

Using the chain rule, the derivative of w with respect to t, dw/dt, can be found as follows:

dw/dt = dx/dt + dy/dt

Now, let's find the derivatives of x and y with respect to t:

dx/dt = d/dt(e^t) = e^t

dy/dt = d/dt(2 + sin(2t)) = 2cos(2t)

Substituting these derivatives into the expression for dw/dt, we have:

dw/dt = dx/dt + dy/dt

     = e^t + 2cos(2t)

Therefore, dw/dt = e^t + 2cos(2t).

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Answer:

not sure if they want 19 or 19.00