Mathematics High School

multiply (x-4)(x^2-5x-6) ...?

Answers

Answer 1

See attached photo for answer.

Answer 2

Answer:

The answer is: [tex]x^3-9x^2+14x+24[/tex]

Step-by-step explanation:

The given expression is: [tex](x-4)(x^2-5x-6)[/tex]

For getting the product, we need to distribute [tex](x-4)[/tex] with each term in the second parenthesis. So.....

[tex](x-4)(x^2-5x-6)\\ \\ =x^2(x-4)-5x(x-4)-6(x-4)\\ \\ =x^3-4x^2-5x^2+20x-6x+24 \ [using\ distribution\ rule]\\ \\ =x^3-9x^2+14x+24\ [combining\ like\ terms][/tex]

So, the answer is: [tex]x^3-9x^2+14x+24[/tex]

Related Questions

Joke ran 2 miles. jesse ran 4 times as far. there are 5280 feet in a mile. how many feet did jesse run?

Answers

jesse ran 42,240 feet

Find the length of LK

Answers

Since JN = NK, this means that JK has been split into two equal pieces

This points to the fact that the smaller triangle is half of the larger triangle in terms of side lengths

MN = 14 which means LK is twice as long, so LK = 2*MN = 2*14 = 28

In summary,

LK = 28

Identify the correct slope and y intercept of the equation 2x + 4y = 12.
How would I do this?

slope = 2; y intercept at (0, 12)

slope = 1/2; y intercept at (0, 3)

slope = 1/2; y intercept at (0, 4)

slope = -1/2; y intercept at (0, 3) ...?

Answers

The standard form of a line is an easy way to solve for the properties of a line, such as slope and the intercepts. Take a line with the equation in standard form,

Ax + By = C

The slope here is given by y = -A/B.
The x-intercept here is given by (C/A, 0).
The y-intercept here is given by (0, C/B).

For this problem, the equation is 2x + 4y = 12. Thus,
slope = -2/4 = -1/2
y-intercept = (0, 12/4) = (0, 3)

Find the values of x and y that maximize the objective function P=3x+2y for the graph. What is the maximum value? Show all work.

Answers

Since coeficient in front of x is larger than coeficient in front of y that means that value of function P depends more on x than on y. That means that we should look for highest posible x and see highest posible y for that x.

Highest x value is 9 and we can only pick y=0 for it

P = 27

Note that if u decrease x by 1 we can take y=1 but now our value is:
P = 8*3 + 2*1 = 26 which is just confirmation why P depends more on x than on y due to coefficient in front of x.

Answer:

Step-by-step explanation:

Highest x value is 9 and we can only pick y=0 for it

P = 27

Note that if u decrease x by 1 we can take y=1 but now our value is:

P = 8*3 + 2*1 = 26 which is just confirmation why P depends more on x than on y due to coefficient in front of x.

And or

Answer:

Step-by-step explanation:

To find the maximum, input the vertices (0,8), (5,4) and (9,0) into the objective function (P = 3x + 2y) to determine which vertex obtains the maximum value.

NOTE: I don't understand why (5,4) was given on your graph as a vertex.

(0,8): P = 3(0) + 2(8) = 0 + 16 = 16

(5,4): P = 3(5) + 2(4) = 15 + 8 = 23

(9,0): P = 3(9) + 2(0) = 27 + 0 = 27 THIS IS THE LARGEST (MAX) P-VALUE

A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches.

Use π = 3.14.

What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work.

Answers

OK once you do the math and find the volume of the cone it comes out to 150.8
and the cylinders volume comes out to 301.6 the relationship between them is that the the cones volume is 2x smaller than the cylinders volume so two cones would equal one cylinder.

the cone = 150.8

the cylinder= 301.6 the cones volume is 2x smaller than the cylinders volume. two cones equal one cylinder.

A wooden fence 6 ft. high and 300 ft. long is to be painted on one side. How many gallons of paint are needed if one gallon covers 400 sq. ft.?

Answers

First, you should calculate the square footage of the fence.6ft∗300ft=1800ft2 Then to find the number of gallons of paint needed, divide the area of the fence by the area covered with each gallon of paint: 1800ft2÷400ft2=4.5 So, 4.5 gallons of paint, or rounding up, 5.

Answer:

4.5 gallons

Step-by-step explanation:

Find the solution set for the open sentence with the given replacement set.
2x + 7 = 19, {4, 5, 6, 7}

Answers

x=6 your welcome:) :)

the answer to the following equation is 6. When 2 is multiplied by 6 the product is 12. 12 added to 7 equals 19.

Triangle ABD equal to triangle CBD. Name the theorem or postulate that justifies the congruence.
(There is a diagram)
When you get your answer could you please tell me how you got it? Thank you!

Answers

Answer:

SAS postulate

Step-by-step explanation:

Triangle ABD equal to triangle CBD.

The postulate that justifies the congruence is - Side angle side.

The Side Angle Side postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

Here, AD and CD sides are equal and the two triangles ABD and CBD share a common right angle , so these are congruent or equal as per SAS postulate.

AD and CD sides are equal and the two triangles ABD and CBD share a common right angle , so these are congruent or equal as per SAS postulate.

Triangle ABD equal to triangle CBD.

The postulate that justifies the congruence is - Side angle side

Here, AD and CD sides are equal and the two triangles ABD and CBD share a common right angle , so these are congruent or equal as per SAS postulate.

Factor out the greatest common factor: 16a3 - 8a5

Answers

8a³ (2 − 4a²) ;
________________________________________________
Note: " 8a³ " is the greatest common factor (GCF).

The area of egypt is 386,700 square miles. the area of wyoming is about 97,818 square milesegypt is about how many times as large as wyoming?explain how you solved the problem

Answers

To solve this problem, we need to divide 386,700 by 97,818 to see how many times you need to multiply 97,818 to get 386,700; after doing this, we can see that Egypt is about 3.95 times larger than Wyoming.

Which of the following is equivalent to45/46 ?

88/92
135/138
46/45
90/93

Answers

If you'll multiply it by 3, as follows:
45/46 = 135/138 which is equal to Option B.

So, option B is your answer!

Hope this helps!

it would be 135/138

hope this helps you

Grace caught a fish after 38 minutes of fishing. Grace started fishing at8:49 a.m.

Answers

She caught the fish at 9:27 AM

9:27

she caught it just add 38 MINSA

Nine wolves, eight female and one male, are to be released into the wild three at a time.

If the male wolf is to be in the first released group and order does not matter, in how many ways can the first group of three wolves be formed?

Answers

The correct answer is 28 ways.

Please give me brainiest and have a great day.

Answer:

Hence, we can form a group of three wolves in:

28 ways.

Step-by-step explanation:

We are given:

Nine wolves, eight female and one male.

We have to release three at a time also the male wolf is to be in the first released group and order does not matter

Then we have to choose 2 female wolves out of 8

as the order does not matter so we have to use combination

Hence, it is given as:

[tex]8_C_2=\dfrac{8!}{2!\times (8-2)!}\\\\8_C_2=\dfrac{8!}{2!\times 6!}\\\\8_C_2=28[/tex]

Hence, we can form a group of three wolves in:

28 ways.

Please Hhhellp!! Given AB, explain how to construct a square with sides of length AB

Answers

AB is a line, right?
To make a square, you have a quadrilateral with 4 right angles and 4 equal side lengths.
So, given AB, make two lines, make them perpendicular to AB, and the same length as AB. You should have a "U" shape of sorts, although it should have 90º where the lines intersect. Then, put one more AB-length line perpendicular to the two lines, so that you have a square.

1.A

2.C

3.C

4.C

5.C

6.B

7.D

8.C

Unit 4 Lesson 9 100%

Step-by-step explanation: Short answers you have to look up

What is the magnitude of the size change of the figures formed by these matrices?
[3 -2 1] [6 -4 2]
4 1 -1 8 2-2 ...?

Answers

Based on the given values above, according to my research, the magnitude of the size change of the figures formed by the matrices given would be 2. Hope this is the answer that you are looking for. Thanks for posting your question in brainly.

Answer:

The magnitude of the size change of the figures formed by these matrices is:

Step-by-step explanation:

We are given a first matrix as:

[3 -2 1]

and second matrix is given by:

[6 -4 2]

Since we could clearly observe that when we multiply first matrix by a constant 2 then we obtain a second matrix.

i.e. 2[3 -2 1]=[2×3 2×(-2) 2×1]

= [6 -4 2]

Hence, the change in the magnitude of the size of two matrices is:

What is 27.38 rounded to the nearest wholenumber?

Answers

27 is the answer . you only round up 5 and greater

Which of the point-slope equations below is correct for the line that passes through points (-4,-4) and (1,3)? Check all that apply.

A. y - 3 = 7/5(x - 1)
B. y - (-4) = 7/5(x - (-4))
C. y - 3 = 7/5(x + 1)
D. y + 4 = 7/5(x - 4)
E. y + 4 = 7/5(x + 4)
F. y + 4 = 5/7(x + 4)

Answers

Correct answer is E.

[tex](-4,-4) \Rightarrow x_1=-4,y_1=-4 \\ (1,3) \Rightarrow x_2=1,y_2=3 \\ \\y-y_1= \frac{y_2-y_1}{x_2-x_1} (x-x_1) \\ \\ y-(-4)= \frac{3-(-4)}{1-(-4)} (x-(-4)) \\ \\ y+4= \frac{3+4}{1+4} (x+4) \\ \\y+4= \frac{7}{5}(x+4) [/tex]

In the diagram below, G is the incenter of DEF. m
In the previous question, what is m

Answers

Final answer:

The question involves Physics concepts such as vector addition, moment of inertia, and gravitational force calculations. The incenter mentions seem irrelevant to the Physics calculations related to inertia and force.

Explanation:

The question asked is about calculating the moment of inertia for a specific geometric object (a cylinder) and involves understanding the mass distribution relative to an axis of rotation. This is a common concept in the field of Physics, particularly when dealing with rotational dynamics and inertia.

The mention of the incenter of a triangle appears to be unrelated to the main question, which is more focused on moments of inertia, vector addition, and gravitational force equations as indicated by the provided reference information.

For example, the moment of inertia of a cylinder about a given axis can be calculated using established mathematical formulas. Moreover, vector addition (such as Đ = Ả + 2B - F) includes principles such as scaling, displacement and direction, which are crucial in Physics for predicting the outcomes of combined vector forces.

Lastly, the reference to the mass m of an object cancelling in the equation for g is related to calculating the acceleration due to gravity on Earth, which does not depend on the mass of the falling object.

Final Answer:

In the previous question, m represents the measure of an angle, and without specific information about which angle in Δ DEF is being referred to, a precise value cannot be determined.

Explanation:

The symbol m in geometry typically denotes the measure of an angle. In the context of the given diagram, G being the incenter of Δ DEF suggests that G is the point where the angle bisectors of the triangle intersect. However, to determine the specific measure (m) of an angle, additional details about which angle in Δ DEF is being considered are required.

In geometry, the measure of an angle can vary based on its location within a triangle. The incenter is where the angle bisectors meet, ensuring that the angle formed by connecting G to the vertices of Δ DEF is bisected equally. Without information about the specific angle being referenced, a numerical value for m cannot be provided.

Understanding angle measures and the role of an incenter in bisecting angles is crucial in geometry. Precision in describing angles requires clarity on the specific angle under consideration, allowing for accurate calculations and conclusions.

find the derivative:
y=(4xe^x)/(x^2+1)

Answers

The derivative is:
y= 4(x³−x²+x+1)e×/(x²+1)²

Evaluate: 5C2

20
25
10
60

...?

Answers

y thought process is as this: do 5P2; 5*4 = 20 and divide that by 2!, which = 2 20/2

is it true or false that many of the same constructions the greeks performed only with a straightedge and compass can be done using only a straightedge and tracing paper?

Answers

True Many of the same constructions the Greeks performed only with straightedge and compass can be done using only a straightedge and tracing paper

Answer: true.

Step-by-step explanation: Here we must see if the use of a compass can be replaced with the use of a tracing paper.

Now, suppose you have a sheet of paper in your table, you can apply pressure in it with your finger at some point, now you can drill a little hole with the point of a pencil at some distance of your finger. Now, with the pencil in place, you can start to rotate it and you will see that an almost perfect circle will appear.

So yes, you can do this, so it's true.

Suppose you are making yourself a sandwich. How many different sandwiches can you make if you have four choices in bread, two choices in meat, and five choices in cheese?

Answers

2layers of bread * 4 different types of breads * 2 meat * 5 cheese = 80 different possible sandwhiches can be made..

I will fan and medal if you help!
Part A Find the value of x
A. x=9
B. x=15
C. x=41
D. x=77
Part B Find the measure of each of the unlabeled angles in the previous question
A. one angle measures 87° and the other measures 273°
B. one angle measures 161° and the other measures 179°
C. both angles measure 155°
D. both angles measure 25°
if you can explain how you did these questions instead of just the answer that'd be great

Answers

Part A: The answer is B.
As vertically opposite angles are equal
x+10=4x-35
10=3x-35
45=3x
x=15

Part B: The answer is D.
We'll substitute in the value of X in one equation.
x+10
=15+10
=25
As the two angles are equal bot must be 25 degrees.

Brand X soda advertises, "We will give you 20% more soda than Brand Y for a total price that is 10% less than Brand Y's price!" What is the ratio of the unit price of Brand X soda to the unit price of Brand Y soda? Express your answer as a common fraction. ...?

Answers

Let the amount of Brand Y = 1 kg.
Thus the amount of Brand X = (1 kg)(1.20) = 1.20 kg

Let the price of Brand Y = $1.
Thus the price of Brand X = ($1)(0.90) = $0.90.

Hence, the unit price of Brand X is $0.90 / 1.20 kg = $3/4 /kg and the unit
price of Brand Y is $1.00 / 1.00 kg = $1 /kg.

Therefore, the ratio of the unit prices is 3/4.

Answer:

3/4

Step-by-step explanation:

its 3/4 k

A four-character secret code can begin with any two of the five vowels and end with any two numerals, from 0 to 9. How many different four-character secret codes are possible?

Answers

2500 is this answer to your problem

What is two thousand eight hundred thirty five divided by twenty one?

Answers

In mathematical form, it will be: 2835/21 = 135
So, your answer is 135

Convert 288° to radians.

Answers

1 rad=57.3°
288÷57.3=5.02 rad

A car manufacturer announced that next year the price of a certain model car would increase by 5.5 %.This year the price is $17,891. Find the increase and the new price.

Answers

The increase is $984 and the new price is $18,875

The answer should be 16906 or 16907. I would go with the second one

What is 20 times greater than 0.08?

Answers

1.6 is 20 times greater the 0.08.

what is the expression in factored form 16x^2+8x

Answers

Final answer:

The expression 16x^2+8x in factored form is 8x(2x + 1), obtained by factoring out the greatest common factor, which is 8x.

Explanation:

To factor the expression 16x^2+8x, we look for common factors in each term. Here, we can see that both terms contain a power of x and the number 8 is a common factor. We can factor out 8x from each term.

Step-by-step, this looks like:

Identify the greatest common factor (GCF): both terms have an x and an 8 in common.Factor out the GCF: 16x^2 + 8x = 8x(2x + 1)

We've now expressed the original expression in factored form.

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