Which point is an x-intercept of the quadratic function f(x) = (x + 6)(x – 3)? (0,6) (0,–6) (6,0) (–6,0)

Answer:

8 hours and 26 minutes

Step-by-step explanation:

To convert 506 minutes to hours and minutes, we can use the fact that there are 60 minutes in one hour.

First, we can divide 506 by 60 to find the number of hours:

506 ÷ 60 = 8 with a remainder of 26

This means that 506 minutes is equal to 8 hours and 26 minutes.

Therefore, the conversion of 506 minutes to hours and minutes is:

8 hours and 26 minutes

Answer:

if it's m^2-16, than it's B, (m+4)(m-4)

Step-by-step explanation:

remember (a+b)(a-b)=a^2-b^2, or m^2-4^2=m^2-16

Answer:

Chris = $68, Pablo = $24, Debra = $17

Step-by-step explanation:

C + P + D = 109

C = 4D

P = D + 7

4D + D + D + 7 = $109

6D + 7 = $109

Subtract 7 from both sides...

6D = 102

Divide both sides by 6...

D = $17

and Debra has 17 dollars which means...

C = 4(17)

C = $68

Chris has $68

P = 17 + 7

P = $24

and Pablo has $24!

Given:

A red die is tossed and then a green die is tossed.

Required:

We have to find the probability that the red die shows an even number or the green die shows an even number.

Explanation:

Let A denotes the event that the red die shows an even number and B denote the event that the green die shows an even number.

Here the total number of outcomes is 6(1-6) and the number of favorable outcomes are 3(2, 4, 6).

Then we have

Therefore,

Hence the probability that the red die shows an even number or the green die shows an even number is

Final answer:

Answer:

50,120

Step-by-step explanation:47,000 times.04=3,120

then you add 3,120 and 47,000 which gives you 50,120

Answer:

50120 trust me where all doing the HMH on ur own lol

Step-by-step explanation:

Answer:

combination

Step-by-step explanation:

solution :

6C2 + 15C7

=6,450

The ratio of chocolate bars More Preferred: (9 chocolate bars, 3 glasses of milk); Equally Preferred: (6 chocolate bars, 3 glasses of milk); Less Preferred: (3 chocolate bars, 2 glasses of milk) and (9 chocolate bars, 2 glasses of milk).

The ratio of chocolate bars to glasses of milk that Isabel consumes is 3-to-1. This means that whenever she has 3 chocolate bars, she also has 1 glass of milk. Currently, Isabel has 6 chocolate bars and 2 glasses of milk. The bundles listed above are compared to Isabel's current consumption. Out of the five bundles, the one with 9 chocolate bars and 3 glasses of milk is more preferred than what Isabel currently has because it has more of the ratio than Isabel's current consumption. The bundle with 6 chocolate bars and 3 glasses of milk is equally preferred because it holds the same ratio as Isabel's current consumption. The bundles with 3 chocolate bars and 2 glasses of milk and 9 chocolate bars and 2 glasses of milk are less preferred because they both have less of the ratio than Isabel's current consumption.

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Answer:

He should make 960. Each lawnmower is worth 80.

The minimum that Nolan would have to spend is $33.84  while the maximum he has to spend is $35.94

10 * 0.84 = 8.4

8 * 1.29 = 10.32

8 * 1.89 = 15.12

The minimum is  = 8.4 + 10.32 + 15.12

= 33.84 dollars.

10 * 1.89 = 18.9

8 * 1.29 = 10.32

8 * 0.84 = 6.72

The sum of the maximum is given as 18.9 + 10.32 + 6.72

= $35.94

Edward Nolan has room for 26 bedding plants in his garden. He can get pansies for $1.89 each, marigolds for $1.29 each, and zinnias for $0.84 each. He plans to buy 10 of one type and 8 each of the other two types of plants. (a) What is the minimum (in $) Edward will have to spend? $ Incorrect: Your answer is incorrect. (b) What is the maximum (in $) Edward could spend? $ Incorrect: Your answer is incorrect.

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Answer:

\(b1=1b2=1h=7b1=1b2=6h=2b1=6b2=9h=2\)

Answer: The middle number in a data set when the data are put in order.

Answer and Step-by-step explanation:

To find the median of a set of numbers, you need to find what the number in the center is in a listed group of numbers. I'll use the example of these numbers:

6, 9, 5, 4, 3, 4, 2.5, 8, 0, 1, 5.

First, we need to organize the numbers in numerical order to find the median.

0, 1, 2.5, 3, 4, 4, 5, 5, 6, 8, 9.

It would be the most simple and helpful to cross out each number until we get our center number; the median. (I can't cross the numbers out, so I'll underline them instead.) When crossing out, both sides need to be full of equally crossed out numbers.

0, 1, 2.5, 3, 4, 4, 5, 5, 6, 8, 9.

The number in the center for this example problem is 4. Thus meaning that our median is 4.

Sometimes though, it is not always a whole number. Sometimes you'll have to find the median in between two numbers. For example, let's just say you got stuck between 4 and 5. Then the median for that set of data would be 4.5, because it is still in the middle of the two.

I hope that this helps, let me know if you have any more questions about this topic.

Answer: 24

Step-by-step explanation:

To find the area of the composite figure, we need to find the area of the sector and the area of the triangle and then add them together.

Area of sector = (θ/360) * π * r^2, where θ is the angle of the sector in degrees, r is the radius of the circle.

The angle of the sector can be found by subtracting the angle of the triangle from 360 degrees. The radius of the circle can be found by dividing the length of the arc by the angle of the sector.

Length of the arc = (θ/360) * 2πr = (60/360) * 2 * 3.14 * 4 = 4.19

Radius of the circle = 4.19/60 = 0.07

Angle of sector = 360 - 60 = 300 degrees

Area of sector = (300/360) * 3.14 * 0.07^2 = 0.0041

The area of the triangle can be found using the formula:

Area of triangle = (1/2) * base * height = (1/2) * 8 * 6 = 24

Therefore, the total area of the composite figure is:

0.0041 + 24 = 24.0041

Rounding to the nearest hundredth, the area of the composite figure is approximately 24.00.

Answer:

10 Gallons of water will weigh 1.2 pounds.

Step-by-step explanation:

Each gallon weighs 0.12 pounds, I got this answer from dividing 3 by 25 to see how much one gallon weighs. So if we multiply the weight of one gallon by 10, 0.12*10, then we will find out the weight of ten gallons.

I hope this helped you!! You can ask questions any question you may have, if needed, and I will answer them :)

10 Gallons of water will weigh 1.2 pounds.

Here, we have,

given that,

Morgan know that 3 gallons of water weigh 25 pounds.

now, we need to find how much do 10 gallons weigh.

so, we get,

3 gallons of water weigh 25 pounds.

so, to see how much one gallon weighs we divide 3 by 25 .

i.e. 3/25 = 0.12

Each gallon weighs 0.12 pounds,  

So if we multiply the weight of one gallon by 10,

i.e. 0.12*10, then we will find out the weight of ten gallons.

so, we get,

10 gallons weigh = 0.12*10 = 1.2 pounds.

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The values of the angles given are: 0,90,180,240,270,360,420,480,540,600,630,660,720 and

he sine of an angle is the trigonometric ratio of the opposite side to the hypotenuse of a right triangle containing that angle.  It is defined as the length of the opposite side divided by the length of the hypotenuse

The given angles are: 0,30,45,90,120,135,180,210,225,240,270,300,315,330,360

2∅  2*∅ = 0, 90,180,240,270,360,420,480,540,600,630,660,720

sin 2∅ = sin0 = 0; Sin90=1;  sin180=0; sin240= -0.8660; sin270 = -1;

Each angle is multiplied by sine sine360 =1; sin420 = 0.8660; sin480= 0.9848; sin540=1; sin600=-0.8660; sin630=-1; sin660=0.8660; sin720= 0.9397

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Given

Procedure

Answer:

  m = 20

Step-by-step explanation:

You want the value of m when (4m +10)° represents an angle of 90°.

The perpendicular bisector XZ intersects segment WY at right angles. The measure of a right angle is 90°, so we have ...

  (4m +10)° = 90°

Dividing by ° and subtracting 10 gives ...

  4m +10 = 90

  4m = 80

  m = 20 . . . . . . divide by 4

The value of m is 20.

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Answer:

AOB = 65°

DOE = 35°

AOC = 90°

EOB = 115°

DOB = 85°

Hope this helps!

Answer:

The walkway should be 2ft wide.

Step-by-step explanation:

Let x be the width of the walkway surrounding the pool.

The area including the pool is 560ft².

Let's solve for the value of x.

The length plus twice the width of the pool is multiplied by the width plus twice the width of the pool. This makes up the whole area.

A = lw

560 = (24 + 2x)(16 + 2x)

560 = 384 + 48x + 32x + 4x²

4x² + 80x + 384 - 560 = 0

4x² + 80x - 176 = 0

Divide the whole equation by 4

x² + 20x - 44 = 0

(x + 22)(x -2) = 0

x = -22; x = 2

Since we are dealing with dimensions, take the one with the positive value.

x = 2ft

Let's check

560ft² = (24ft + 2x)(16ft + 2x)

560ft² = (24ft + 2(2ft)) (16ft + 2(2ft))

560ft² = (24ft + 4ft)(16ft + 4ft)

560ft² = (28ft)(20ft)

560ft² = 560ft² ✔

Answer:

Let us set up a ratio to find the relationship between side lengths of the two triangles.

25:10

5:2

We can divide both sides by two, but there's no need as the smaller triangle has multiples of two.

So, if XZ is 6, let's place it into the ratio and find what "x" is.

5(3) : 2(3)

15 : 6

x = 15

Therefore, the volume of the composite figure is 105 cubic inches.

In physics and mathematics, volume refers to the amount of space occupied by a three-dimensional object or region. It is a measure of the size of an object in three dimensions, and is typically expressed in cubic units, such as cubic meters, cubic feet, or cubic centimeters. The volume of an object can be calculated using a formula that is specific to the shape of the object. For example, the volume of a cube can be calculated by multiplying the length, width, and height of the cube, while the volume of a sphere can be calculated using the formula 4/3 x π x r^3, where r is the radius of the sphere. The concept of volume is important in many fields, including architecture, engineering, and science, as it is used to calculate the amount of space that an object or substance occupies, and to determine quantities such as mass and density.

Here,

To find the volume of the composite figure, we need to find the volume of each rectangular prism and add them together.

The volume of a rectangular prism is given by the formula V = l*w*h, where l is the length, w is the width, and h is the height.

For Prism A, V = (7)(3)(2) = 42 cubic inches.

For Prism B, V = (3)(3)(7) = 63 cubic inches.

The total volume of the composite figure is the sum of the volumes of the two prisms:

V_total = V_A + V_B

= 42 + 63

= 105 cubic inches

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The x-coordinates of the points on the curve where the tangent line is horizontal will be option A.

(x² + y²)² = 4(x² – y²)

x⁴ + 2x²y² + y⁴ = 4x² - 4y²

y⁴ + 2x^2y² + 4y² - 4x² = 0

Now we can use implicit differentiation to find the derivative of y with respect to x:

4y³(dy/dx) + 4xy² + 4y(dy/dx)x² + 8y(dy/dx) - 8x = 0

Simplifying this expression, we get:

4y³(dy/dx) + 4xy² + 4xy²(dy/dx) + 8y(dy/dx) - 8x = 0

(dy/dx)(4y³ + 4x²y²) + 8y(dy/dx) = 8x - 4xy²

(dy/dx)(4y³ + 4x^2y² + 8y) = 4x(2-y²)

(dy/dx) = 4x(2-y²)/(4y³ + 4x²y² + 8y)

Based on the information, x-coordinates of the points on the curve where the tangent line is horizontal will be option A.

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According to the direct variation, the direct variation equation is y=kx.

In the given question we have to write the direct variation equation.

As we know that, direct variation is a relationship between two variable that changes according to each other.When one of the variables is a constant multiple of the other, there is a link between the two variable.

Direct variation is the change in one variable as a result of the change in another. This implies that if one number rises or falls, the other should rise or fall proportionally as well.

So, the direct variation equation is y=kx.

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The correct statements are;

The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.

The point of intersection of the two functions indicates that the functions are inverses.

Option C and D

To accurately compare a function and its inverse based on the graphs, we have to know the following;

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Answer:

divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

Step-by-step explanation:

The equivalent expression is 5 - 3x/2. Option D

Algebraic expressions are described as expressions that are made up of variables, their coefficients, factors and constants.

these algebraic expressions are also composed of mathematical operations. These operations includes;

From the information given, we have that;

1/ 4(8 - 6x + 12)

expand the bracket, we have;

Add the like terms

1/4(20 - 6x)

now, multiply the values, we have;

20 - 6x/4

Divide by the denominator

5 - 3x/2

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The complete question:

Simply the expression:

1/ 4(8 - 6x + 12)

Answer:

answer is 100 pages per hour