Write an equation of the line passing through point P(0, 0) that is perpendicular to the line y = −9x−1.

y = ?

Step by Step Solution:

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STEP

1

:

Equation at the end of step 1

STEP

2

:

           x3 + 3x2 - 7x - 12

Simplify   ——————————————————

                 x + 4        

Checking for a perfect cube :

2.1    x3 + 3x2 - 7x - 12  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x3 + 3x2 - 7x - 12  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -7x - 12  

Group 2:  x3 + 3x2  

Pull out from each group separately :

Group 1:   (7x + 12) • (-1)

Group 2:   (x + 3) • (x2)

1 result(s) found

x  

2

−x−3

Answer:

Step-by-step explanation:

i think the answer is the 3rd one

Answer:

-7.3n+8.4

Step-by-step explanation:

combine like terms

Hope this helps! Have a great day!!

Answer:

8.4 - 7.3n

Step-by-step explanation:

1. Rearrange

2.4 - 4.3n - 3n + 6 = 2.4 + 6 - 4.3n - 3n

2. Combine like terms

2.4 + 6 - 4.3n - 3n = 8.4 - 7.3n

The answer is 8.4 - 7.3n

Hope this helps :)

Have a great day!

The value of g(h(10)) is 2√2. the correct option is A.

Given that the functions are g(x)=√x-4 and h(x)=2x-8.

A function is defined as the relationship between a set of inputs where each input has an output.

Firstly, we will find the value of h(10) by substituting x=10 in the function h(x)=2x-8.

h(10)=2(10)-8

h(10)=20-8

h(10)=12

Now, we will find g(h(10)) where h(10)=12.

By substituting h(10)=12 in g(h(10)), we get

g(h(10))=g(12).

Further, we will find g(12) by substituting x=12 in the function g(x)=√x-4, we get

g(12)=√(12-4)

g(12)=√8

g(12)=2√2

Hence, the value of function g(h(10)) when g(x)=√x-4 and h(x)=2x-8 is 2√2.

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Answer:

the volume of the prism at the right is 56.7 cm³

Step-by-step explanation:

To find the volume of the prism at the right, we need to first find the area of the base, which is a triangle. The area of a triangle is given by A=21​bh

where A

is the area, b

is the base, and h

is the height of the triangle.

The base of the triangle is 4.2 cm and the height of the triangle is 3 cm. So, we can plug these values into the formula and get:

A=21​(4.2)(3)

A=6.3 cm2

Now that we have the area of the base, we can multiply it by the height of the prism, which is 9 cm. This will give us the volume of the prism:

V=B×h

V=6.3×9

V=56.7 cm3

Answer:

Brand A price per diaper: 0.3

Brand B price per diaper: 0.3

Brand B is the better buy.

This can be found by taking the price of each brand and dividing it by the amount of diapers in each pack.

ex:

$11.49 / 36 = $0.32 (then round to nearest tenth)

Answer:

8.125

Step-by-step explanation:

He jogged over 8 miles so he needs to stop jogging he already completed his goal.

First, let's define a few varibles.

x = # of miles

y = # of days

z = total cost

Now, let's create our expression

z = $23.95y + $0.33x

Let's plug the numbers from our problem into our equation.

$150 = $23.95(2) + $0.33x

Simplify the right side

$150 = $47.9 + $0.33x

Subtract $47.9 from both sides

$102.1 = $0.33x

Divide both sides by $0.33

309 miles = x

Note, I rounded my answer down to the nearest whole number.

Two sets of parallel lines continue to stay equidistant to each other in each set of parallel lines, this same parallel line at an angle to the Y-axis will not intersect the parallel line at an angle to the x-axis if they are extended infinitely.

According to the given diagram:

Therefore, two sets of parallel lines continue to stay equidistant to each other in each set of parallel lines, this same parallel line at an angle to the Y-axis will not intersect the parallel line at an angle to the x-axis if they are extended infinitely.

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We are given the equation of a parabola, \(y=-x^2+2\). The question asks us to find both values of a point given the the x-coordinate which is -3. To find the y-coordinate, simply plug in -3 for x into the equation of the parabola.

\(y=-x^2+2 \Longrightarrow y=-(-3)^2+2 \Longrightarrow y=-(9)+2 \Longrightarrow y=-9+2\)

\(\Longrightarrow y=-7\)

Thus, the point is (-3,-7)

Answer:

At a package weight of 8 kilograms, the two couriers both cost $37

Step-by-step explanation:

Let's say the package weighs w kg.

First courier: 13 + 3 per kg = 13 + 3 for each w = 13 + 3w

Second courier: 5 + 4w

They are equal in cost, so

13 + 3w = 5 + 4w

subtract 3w from both sides to put all the variables on one isde

13 = 5 + w

subtract 8 from both sides to solve for w

w = 8

plug w=8 into one side of the original equation to solve for cost

13 + 3w = 5 + 4w = 37

Answer:

Step-by-step explanation:

Answer:

26 miles per gallon

Step-by-step explanation:

Answer:

Coefficients are 6 and 4. The exponents are 3 and 1.

Step-by-step explanation:

The coefficient of a term is the number next to variable, the number that the variable is multiplied by.

Remember that if you are subtracting by a term, you are adding the "negative" term.

Meaning:

6x³ - 4x = 6x³ + (-4x)

The exponent of a term is the power (the little number on top). When the exponent (power) is not shown, it is just 1.

Meaning:

-4x = -4x¹

These are the two transactions that are given in the question and the journalizing of these transactions are explained with the appropriate steps and accounts.

The solution for the journalizing of the given transactions can be found below:

Journalizing refers to the recording of business transactions in the journal. In the process of journalizing, all transactions are recorded in the journal in a systematic way.

Journal is the first place where every transaction is recorded systematically.

The transaction is a business exchange in which one entity provides value to another entity in exchange for a specific item, service, or asset.

Transaction

(i) is paid Rs 2000 in cash as wages on the installation of the machine. This transaction can be journalized as follows: Journal of Transactions Date Particulars LF Amount (Dr.) Amount (Cr.) DD/MM/YYYCash a/c………………………Dr.2000To wages a/c2000 (Being cash paid as wages on the installation of the machine)Transaction

(ii) sold goods to Mr. Chopra at a list price of Rs 4,000. The sale is subject to a 10% trade discount and a 5% cash discount if the payment is made immediately, Mr. Chopra availed cash discount.

This transaction can be journalized as follows: Journal of Transactions Date Particulars LF Amount (Dr.) Amount(Cr.) DD/MM/YYYMr. Chopra a/c………………………Dr.3,420To Sales a/c4,000 (Being sales made to Mr. Chopra on a discount) To Trade Discount a/c400 (Being Trade Discount allowed to Mr. Chopra) Cash Discount a/c180 (Being cash discount allowed to Mr. Chopra) To Mr. Chopra a/c180 (Being cash received from Mr. Chopra) To CGST a/c90(Being CGST charged on sales) To SGST a/c90(Being SGST charged on sales)

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Answer:

I think the answer is B: Slope

Step-by-step explanation:

On a graph, proportional relationships are straight lines that extend through the origin. The relative steepness of the line is called slope; the slope of a graph is the same as the constant of proportionality of the equation.

Hope this helped, Have a Wonderful Day!!

The slope is the same as the unit rate and constant of proportionality in a slope. Then the correct option is B.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The slope is the same as the unit rate and constant of proportionality in a slope. Then the correct option is B.

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Answer:

After half hour=30 min you have 2×2500=5000 bacteria so you can use this into your equation to write:

and:

Apply the natural logarithm ln to both sides and get:

so  in units of

so your equation is now:

1] it t= 50 min substituting you get:

bacteria

2] if t= 8 h = 480 min you get:

bacteria

Step-by-step explanation:

The required number we're looking for is x = 3.

The outcome or conclusion we arrive at when we add two or more integers is known as the SUM. Addends are the integers that are added. In the previous illustration, the total of the addends, 6, and 4, is 10. In other terms, we can say that 8 plus 5 equals 13 or that 8 plus 5 equals 13.

We can start by translating the problem into an equation. Let x be the number we're trying to find. Then the problem can be expressed as:

\($$7(x+1) = 28$$\)

Simplifying the equation, we first distribute the 7 on the left-hand side:

7x + 7 = 28

Then we isolate the variable x by subtracting 7 from both sides:

7x = 21

Finally, we solve for x by dividing both sides by 7:

x = 3

Therefore, the number we're looking for is x = 3.

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Complete question:

Seven times the sum of a number and 1 is 28.

What is the number?

Answer:

68°

Step-by-step explanation:

Total angle in a quadrant = 90°

x + 22° = 90°

x = 90 - 22

x = 68°

Answer:

3 days, 7 hours, 3.7 decimal days

Step-by-step explanation:

The required butter she needed is given as 1.67 cups of butter.

As given in the question, Jennie is making popcorn. The recipe calls for 1/2 cup of butter, 3 tablespoons of kernels, and 1 teaspoon of salt. If she uses 10 tablespoons of kernels,

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

here,
Let the nutter need be x cups,
now,
Taking the ratio o butter to kernels
[1 / 2] / 3 = x / 10
x = 10 / 6
x = 1.67

Thus, As of the given proportion, she requires 1.67 cups of butter.

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Answer: I assume this is a activity on edge

x≥ -2

-2≤x

were the correct options

Answer:3 and 4

Step-by-step explanation:trust

The numerical value of the expression 9y - 10z when y = 9 and z = 6 is 21.

This question is incomplete, the complete question is;

What is the value of the expression below when y = 9 and z = 6?

9y - 10z

An algebraic expression is simply an expression that is made up of constants and variables, including algebraic operations such as subtraction, addition, division, multiplication, et cetera.

Given the data in the question;

To determine the numerical value of the expression, replace plug y = 9 and z = 6 into the expression and simplify.

9y - 10z

9( 9 ) - 10z

9( 9 ) - 10( 6 )

Multiply 9 and 9

81 - 10( 6 )

Multiply 10 and 6

81 - 60

Subtract 60 from 81

21

Therefore, the numerical value of the expression is 21.

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Answer:

  p = 70°

Step-by-step explanation:

We are given that ...

  p +g = 90°

  p +h = 180°

  p +g +h = 200°

Adding the first two equations and subtracting the third gives ...

  (p +g) +(p +h) -(p +g +h) = (90°) +(180°) -(200°)

  p = 70°

Answer:

Slope=  

2.000

0.800

​  

=0.400

x−intercept=  

2 /5

​  

=2.50000

y−intercept=  

−5 /5

​  

=  

−1

1

​  

=−1.00000

Step-by-step explanation:

STEP

1

:

Pulling out like terms

1.1     Pull out like factors :

  6x - 15y - 15  =   3 • (2x - 5y - 5)  

Equation at the end of step

1

:

STEP

2

:

Equations which are never true

2.1      Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

2.2     Solve   2x-5y-5  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  2x-5y-5  = 0 and calculate its properties

The volume of air of a sphere with diameter 9 centimeters is 381.51 cubic centimeters

The formula for the volume of a sphere is:

V = (4/3)πr³

where r is the radius of the sphere.

The diameter of the sphere is 9 cm, which means the radius is half of that:

r = 9/2 = 4.5 cm

Substituting this value into the formula, we get:

Volume = (4/3)π(4.5)³

Volume = (4/3)×3.14 × 91.125

Volume = 381.51 cubic centimeters

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A tessellation is a pattern made by repeating geometric shapes without any gaps or overlaps. These shapes, called tiles or polygons, fit together perfectly to cover a plane or a surface. Tessellations can be found in various forms of art, architecture, and design. They are used to create visually appealing patterns and decorations, as well as to explore mathematical concepts.

Tessellations are utilized in various practical applications, such as tiling floors, walls, and pavements, designing mosaics and quilts, and creating computer graphics and textile patterns. They are also studied in mathematics to understand concepts like symmetry, geometry, and transformations.

For polygons to tessellate, certain conditions must be met at their vertices. At each vertex, the angles formed by the polygons must add up to a whole number of degrees, typically 360 degrees. In other words, the sum of the interior angles of each polygon meeting at a vertex must be a multiple of 360 degrees.

This ensures that the polygons can fit together seamlessly without leaving any gaps or overlaps. Examples of polygons that tessellate include equilateral triangles, squares, and hexagons, as their angles add up to 360 degrees at each vertex.

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Answer: To answer this question, we need to calculate the maximum possible speed of the train based on the given information and check if it is greater than 160 km/h.

First, let's use the given information to find the range of possible speeds of the train. The time taken by the train is given as 110 minutes, correct to the nearest 5 minutes. This means that the actual time taken by the train could be anywhere between 107.5 minutes and 112.5 minutes.

Converting the time to hours, we get:

Lower bound of time = 107.5 minutes = 107.5/60 hours = 1.792 hours

Upper bound of time = 112.5 minutes = 112.5/60 hours = 1.875 hours

Now, let's use the given distance of 270 km, correct to the nearest 10 km, to find the range of possible average speeds of the train. The lower bound of the distance is 265 km, and the upper bound is 275 km.

Lower bound of speed = 265 km / 1.875 hours = 141.3 km/h

Upper bound of speed = 275 km / 1.792 hours = 153.5 km/h

Therefore, based on the given information, the maximum possible speed of the train is 153.5 km/h, which is less than 160 km/h.

So, we can conclude that the average speed of the train could not have been greater than 160 km/h.

Step-by-step explanation:

Answer:

Winning odd = 3.4

Loosing odd = 4.3.

Step-by-step explanation:

So, from this particular Question or problem we have the following data or information or parameters which is going to aid or help us in solving this particular Question;

=> Given 6 of hearts and the 8 of diamonds.

We know that there are 8 types of cards.

Also, we know that the total number of the cards is equal to fifty-two(52).

From cards of six(6) to ten(10) a bust will surely occur.

Therefore, 8 × 4 / 52= 32/52 = 0.62.

If an ace is pulled, then the chance of winning bis surely 4 out of 52 deck of cards.

Giving you a Winning odd = 3.4 and a

Loosing odd = 4.3.

Answer:

greatest -( 9/36, -21/28, -7 )- smallest

Answer:

9/36

-7

-21/28

Step-by-step explanation:

You actually had them in the correct order