Let M(x)=4x2−3x and N(x)=−5x3−6x2−3. Find M(x)−N(x)

Answers

Answer 1

Answer:

5x³+10x²-3x+3

Step-by-step explanation:

(4x²-3x) - (-5x³-6x²-3)

5x³+10x²-3x+3

Answer 2

If equations M(x)=[tex]4x^{2} -3x[/tex] and N(x)=[tex]-5x^{3}-6x^{2} -3[/tex] then M(x)-N(x)=[tex]5x^{3} +10x^{2} -3x+3[/tex].

What is equation?

An equation is a relationship between two or more variables expressed in equal to form. It is often equated to find the values of variables. The form of an equation is ax+by=c.

How solve equations?

We have been given M(x)=[tex]4x^{2} -3x[/tex] and N(x)=[tex]-5x^{3}-6x^{2} -3[/tex] and we have to find the difference between M(x) and N(x) and to solve them we have to open the brackets and add the coefficients of variable.

M(x)-N(x)=[tex]4x^{2} -3x-(-5x^{3}-6x^{2} -3)[/tex]

First we have to open the brackets.

=[tex]4x^{2} -3x+5x^{3}+6x^{2} +3[/tex]

Now we have to add the coefficients of same variable having same powers.

[tex]=5x^{3}+10x^{2} -3x+3[/tex]

Hence if M(x)=[tex]4x^{2} -3x[/tex] , N(x)=[tex]-5x^{3}-6x^{2} -3[/tex] then difference between {M(x)-N(x)} =[tex]5x^{3}+10x^{2} -3x+3[/tex].

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Related Questions

Simon used a probability simulator to pull 3 colored marbles from a bag and flip a coin 50 time
Color of Marble Number of Times Rolled
Blue
15
Green
19
Yellow
16
Heads Tails
26 24
Using Simon's simulation, what is the probability of pulling a blue marble and the coin landing
39
50

Answers

Answer:

360/2500

Step-by-step explanation:

the blue marble is 15 times out of 50 = 15/50 reduces to 3/10

landing on tails is 24 out of 50 = 24/50 reduces to 12/25

to find the probability of both multiply together:

3/10 x 12/25 = 3 x 12 / 10 x 25 = 36/250

if you multiplied the numerator and denominator by 10 you get 360/2500.

the answer is 360/2500

Answer:

360/2500

Step-by-step explanation:


Find the distance of AD and round to the nearest tenth, if necessary. A (2,5) D (-5,12)

Answers

Answer:

d = 9.9

Step-by-step explanation:

Distance formula: [tex]d = \sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]

Simply plug in your numbers:

[tex]\sqrt{(-5-2)^2 + (12-5)^2}[/tex]= 7√2

7√2 ≈ 9.89949

George is given two circles, Circle O and circle X, as shown. If he wants to prove that the two circles are similar, what would be the correct second step in his proof? Given: The radius of circle O is r, and the radius of circle X is r'. Prove: Circle O is similar to circle X.

Answers

Answer:

answer is A - C = 2-pi-r/C = 2-pi-r and C/C = r/r by the division property of equality

Step-by-step explanation:

on  A P E X

To prove that the two circles are similar, the answer which would be the correct second step in his proof is:

A - C = 2-pi-r/C = 2-pi-r and C/C = r/r by the division property of equality

What is a Circle?

This refers to a round plane who has a centre as a fixed point that has equal distance from each other.

With this in mind, we can see that Circle O and Circle X are shown and they are said to be similar, hence, the second step to prove that they are similar is A - C = 2-pi-r/C = 2-pi-r and C/C = r/r by the division property of equality

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Jeff said that his city got 11/3 inches of snow. Write this fraction as a mixed number

Answers

Answer: 11/3 as a mixed number is 3 2/3

Answer:

3 2/3 inches of snow

Step-by-step explanation:

Your denominator is 3. Use the denominator to see how many times it goes into the numerator.

Knowing 3*3 = 9, then 3 goes into 11 three times

subtract 9 from 11 : 11 - 9 = 2

You are given a remainder of 2

Your whole number is three, and because you have 2 remaining from the 11, the 2 becomes 2/3

Answer: 3 2/3  inches of snow

Hope this helps!

A cone with a diameter of 17 feet has a volume of 190.07 cubic feet, find the height of the cone.

Answers

Answer:

Step-by-step explanation:

I don't say u have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...

segment AB is dilated from the origin to create segment A prime B prime at A' (0, 8) and B' (8, 12). What scale factor was segment AB dilated by?

Answers

The scale factor which segment AB was dilated by is 4

How to determine the scale factor of dilation?

The graph that completes the question is added as an attachment

From the attached graph, we have the following coordinates

A = (0, 2)

B = (2, 3)

The coordinates of the image of dilation are given as:

A' = (0, 8)

B' = (8, 12)

Divide the coordinates of A' by A

So, we have:

Scale factor = A'/A

This gives

Scale factor = (0, 8)/(0, 2)

Evaluate the quotient

Scale factor = 4

Hence, the scale factor which segment AB was dilated by is 4

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write (6b)^2 without exponents

Answers

Answer:

36 b^2 = 36 bb

Step-by-step explanation:

(6b)^2

This means multiply what is inside the parentheses by itself

(6b) * 6b

36 b^2

36 b*b

two congurent, isocoles triangles are joined as shown to form a parallelogram. the largest angle of the parallelogram is 116 degrees

write two equations
solve them to find the value of A and the value of B

Answers

Answer:

64°, 52°

Step-by-step explanation:

2a+b=180°a+b=116° ⇒ b=116°-a2a+116°-a=180° ⇒ a=180°-116°= 64°b=116°-64°= 52°

Which is not equivalent to this expression? 4(3x2+6x)

Answers

Answer:

6x (2x^2 + 4x), for it's not equal to 12x^2+24x.

Step-by-step explanation:

Answer:

6x (2x^2 + 4x), for it's not equal to 12x^2+24x.

Step-by-step explanation:

will give brainliest if answer correctly!!

Answers

Answer:

A

Step-by-step explanation:

Sorry for the late response but the previous 2 answers lacked an explanation.

The sample space of an experiment / trial is the range of all outcomes from that experiment / trial. In this case, the trial is spinning the spinner. You might think that the answer is D because those are all of the possible outcomes you might get when spinning the spinner, however, some of the outcomes are repeated. In a sample space, each element of the sample space set is different, therefore, the answer is {1, 2, 3, 4} which is A.

The second statement is the
of the first.
ab
baya
A. converse
B. contrapositive
C. inverse
D. contradiction

Answers

Answer: it is contrapositve

Multiply.

(4x+2)(3x+3)

Answers

The right answer is 12x^2+18x+6

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

[tex] \boxed{12 {x}^{2} + 18x + 6} [/tex]

Step-by-step explanation:

[tex] = > (4x + 2)(3x + 3) \\ \\ = > 4x(3x + 3) + 2(3x + 3) \\ \\ = > (4x \times 3x) + (4x \times 3) + (2 \times 3x) + (2 \times 3) \\ \\ = > 12 {x}^{2} + 12x + 6x + 6 \\ \\ = > 12 {x}^{2} + 18x + 6[/tex]

y=3x+17, 4x-3y=-26
Use substitution to solve the system

Answers

Answer:

x=-5, y=2

Step-by-step explanation:

[tex]y=3x+17\\\\4x-3y=-26[/tex]

With substitution, you can replace y in the second equation with 3x+17, since you know they are equal.

[tex]4x-3(3x+17)=-26 \\\\4x-9x-51=-26\\\\-5x=25\\\\x=-5\\\\y=3(-5)+17=-15+17=2[/tex]

Hope this helps!

The answer is X=-5 and y=2

Question 4
How much water can this container hold? Use 3.14 to
approximate n. Round your answer to the nearest
hundredth.
267.95 cm3
2,143.57 cm
8 cm
100.48 cm3
535.89 cm
13​

Answers

Rounded to the nearest 100th is
2,143.57 cm^3

Whats the area of each figure ?

Answers

Answer:

A:870         B:438.82

Step-by-step explanation:

L x W x H

have a nice day :-)

Draw the image of △ABC under a dilation whose center is P and scale factor is 1/2

Answers

Answer:

Step-by-step explanation:

Let the point P is at the origin (0, 0).

Then the coordinates of A, B and C will be (8, 4), (-2, 2) and (4, -4) respectively.

Rule for the dilation of a point by a scale factor = k

(x, y) → (kx, ky)

If k = [tex]\frac{1}{2}[/tex]

Then, A(8, 4) → A'(4, 2)

          B(-2, 2) B'(-1, 1)

         C(4, -4) C'(2, -2)

Now we can plot the new image with points A', B' and C'

Following are calculation to the given points:

Given:

[tex]\Delta ABC[/tex] under a dilation whose center is P

scale factor [tex]= \frac{1}{2}[/tex]

To find:

points=?

Solution:

In the given question we assume that the origin at the point [tex]P(0, 0)[/tex].

therefore the coordinates of [tex]A, B, \ and \ C[/tex] would then be [tex](8, 4), (-2, 2), \ and\ (4, -4)[/tex] respectively.

Scale factor dilatation rule[tex]= k[/tex]

[tex](x, y) \to (kx, ky)[/tex]

If [tex]k = \frac{1}{2}[/tex]

Then,

[tex]A(8, 4) \to A'(4, 2)\\\\B(-2, 2) \to B'(-1, 1)\\\\C(4, -4) \to C'(2, -2)\\\\[/tex]

We can now draw a new picture with the points [tex]A', B', \ and\ C'[/tex], please find the attached file.

Learn more:

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22. The perimeter of a rectangle is 84 inches and the width is 7 inches.
What is the length of the rectangle?
A.70 inches
B.35 inches
C.77 inches
D.This information cannot be determined.

Answers

Answer:

35 inches

Step-by-step explanation:

The perimeter of a rectangle is given by

P = 2(l+w)

We know the perimeter and the length

84= 2 ( l+7)

Divide each side by 2

84/2 = 2/2 (l+7)

42 = (l+7)

Subtract 7 from each side

42-7 = l+7-7

35 = l

The length is 35 inches

Answer:

[tex]l = 35 \: \: inches[/tex]

Step-by-step explanation:

[tex]perimeter \\84 = w + w + l + l \\ 84 = 7 + 7 + 2l \\ 84 = 14 + 2l \\ 84 - 14 = 2l \\ 70 = 2l \\ \frac{70}{2} = \frac{2l}{2} \\ l = 35 \: \: inches[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

F(9) if f(x) = x - 8

Answers

Answer:

f(9)=1

Step-by-step explanation:

This questions asks us to find f(9).

It is asking us to find what f(x), or y is, when x is equal to 9.

f(x)=x-8

Therefore, we can substitute 9 in for every x.

f(9)=9-8

Subtract 8 from 9

f(9)=1

If f(x)=x-8, then f(9)=1

Answer:

f(9)=1

Step-by-step explanation:

f(x)=x-8

plug in 9for x

f(9)=9-8

9-8 =1

PLEASE HELP ME! WILL NAME BRAINLIEST
Find the equation of the line perpendicular to y = x -10 passing through point (10 , -5)

Answers

Answer:

y= -x+5

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

Let's find the value of m first.

The product of the gradients of 2 perpendicular line is -1.

Given line: y= x -10

Gradient of given line= 1

m(1)= -1

m= -1

y= -x+c

To find c, substitute a coordinate.

when y= -5, x=10,

-5= -10 +c

c= 10-5 (+10 on both sides)

c=5 (simplify)

Thus, the equation is y= -x +5.

How much would you pay for a boat that
costs $15,000 if you buy it on sale for
15% off (excluding tax)?

Answers

Answer:

$12,750

Step-by-step explanation:

15% of 15,000 is 2,250 and you find this by multiplying the discount and the total. Then you subtract the discount from the original price to know the discounted price.

15,000-2,250=12,750

So you'd pay $12,750 without taxes

Answer:

The cost of the boat after the sale would be 12,750. (excluding tax)

Step-by-step explanation:

What is the constant in the expression 9x3 + 3x2 + 4 + 5x?

Answers

Answer:

4

Step-by-step explanation:

The constant is the lone number, in this case it is 4.

Hope this helps.

1,4,13____,121
5,12,33__
whats the pattern rule

Answers

Answer:

Step-by-step explanation:

1,4 ,13 ,  __________, 121

First term = 1

Second term  =  1 +  3        =  4

Third term      =  4 + 3*3     =  4 + 9   = 13

Fourth term =  13 + 3*3*3  = 13 + 27 = 40

2) 5, 12 , 33 ,_____

First term = 5

Second term = 5 + 7     = 12

Third term     = 12 + 7*3 = 12 + 21 = 33  

Fourth term = 33 + 7*3*3 = 33 + 63 = 99

         

Reduce to lowest terms.
3m^2-3n^2/6m-6n
ANSWER ASAP

Answers

Answer:

3.

Step-by-step explanation:

3m^2-3n^2= 3(m^2-n^2) = 3 (m+n)(m-n)

6m-6n= 6 (m-n)

3(m+n)~(m-n)~/6~(m-n)~ = (m+n)/2

In the diagram given below, lines I1 and l2 are parallel and t is a transversal. Find the value of x.
PLS HELP

Answers

----------------------------------------------------------

Hey!!!

Solution,

2x+10+X+5=180 ( sum of co-interior angles)

or, 2x+X+10+5=180

or,3x+15=180

or,3x=180-15

or,3x=165

or, X=165/3

X=55

So the value of X is 55.

Hope it helps...

Good luck on your assignment

STAY SAFE......

--------------------------------------------------------

Answer:

Step-by-step explanation:

2x + 10 + x + 5 = 180  (Sum of co-interior angles}

Add the like terms

3x + 15 = 180   {Subtract 15 form both sides}

3x +15 - 15 = 180 - 15

3x = 165  {Divide both sides by 3}

3x/3 = 165/3

x = 55°

Urgent, Please help!

Answers

Answer:

min: 52max: 78median: 63lower quartile median: 54upper quartile median: 73interquartile range: 19

Step-by-step explanation:

the temperatures ordered from least to greatest

52, 53, 54, 54, 57, 62, 64, 69, 73, 73, 77, 78

the min is 52

the max is 78

median:

52, 53, 54, 54, 57, 62, 64, 69, 73, 73, 77, 78

(62+64)/2=126/2=63

thus the median is 63

now we don't include the median in finding the upper and lower quartile medians:

lower quartile median:

52, 53, 54, 54, 57, 62

54 (same #s no need to add up and divide by 2)

upper quartile median:

64, 69, 73, 73, 77, 78

73 (same #s no need to add up and divide by 2)

interquartile range is:

upper quartile median-lower quartile median:

73-54

19

given that 7x+50=22 find x​

Answers

The value of X is -4

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

x = - 4

Step-by-step explanation:

7x + 50 = 22

7x = 22 - 50

7x = - 28

x = - 28 : 7

x = - 4

The total amount of water a tank can hold is 14 1/2 gallons. Raul wants to find out how many 1 1/4 gallon buckets of water can be
used to fill the tank. Which expressions could be used to represent this scenario? Select two options..
100 POINTS

Answers

Answer: [tex]\frac{29}{2}[/tex]÷[tex]\frac{5}{4}[/tex], [tex]\frac{29}{2}[/tex]×[tex]\frac{4}{5}[/tex]

Step-by-step explanation: Let me know if you need an explanation.

Answer:

its a and e two options it said

Step-by-step explanation:

A cylinder with a diameter of 8 centimeters and height of 18 centimeters. Recall the formula V = pi r squared h. 288 pi Centimeters cubed 1,152 pi Centimeters cubed 1,296 pi Centimeters cubed 2,592 pi Centimeters cubed

Answers

Answer:[tex]288\pi\ cm^3[/tex]

Step-by-step explanation:

Given

Diameter of cylinder is [tex]d=8\ cm[/tex]

So, radius [tex]r=\frac{d}{2}=4\ cm[/tex]

height of cylinder [tex]h=18\ cm[/tex]

Volume of cylinder is given by

[tex]V=\pi r^2h[/tex]

[tex]V=\pi (4)^2\times 18[/tex]

[tex]V=\pi 16\times 18[/tex]

[tex]V=288\pi\ cm^3[/tex]

So, volume of cylinder is [tex]288\pi\ cm^3[/tex]

Answer:

288π cm cubed

Step-by-step explanation:

which of the following rational functions is graphed below?

Answers

Answer:

C

Step-by-step explanation:

Vertical asymptotes= -2,1

How do I solve the problem by isolating x

Answers

Answer:

see below

Step-by-step explanation:

10x +8 = 3(x-2)

Distribute

10x +8 = 3x-6

Subtract 3x from each side

10x+8-3x = 3x-6-3x

7x +8 = -6

Subtract 8 from each side

7x+8-8 = -6-8

7x = -14

Divide each side by 7

7x/7 = -14/7

x = -2

Answer:

10x + 8 = 3x - 6, 7x = -14

Step-by-step explanation:

10x + 8 = 3 ( x - 2 ) = 10x + 8 = 3x - 6

subtract 8 from both sides of the equation: 10x + 8 = 3x - 6

10x + 8 - 8 = 3x - 6 - 8

simplify

10x = 3x - 14

subtract 3x from both sides

10x - 3x = 3x - 14 - 3x

simplify

7x =  -14

divide both sides by 2

7x / 2 = -14 / 2

simplify

x = -2

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Which is not equivalent to this expression? 4(3x2+6x) The total amount of water a tank can hold is 14 1/2 gallons. Raul wants to find out how many 1 1/4 gallon buckets of water can beused to fill the tank. Which expressions could be used to represent this scenario? Select two options..100 POINTS Find the distance of AD and round to the nearest tenth, if necessary. A (2,5) D (-5,12) Choose the correct Spanish capitalization? Chuck, a single taxpayer, earns $69,000 in taxable income and $27,100 in interest from an investment in City of Heflin bonds. (Use the U.S tax rate schedule.) Required: How much federal tax will he owe A 50.0 Watt stereo emits sound waves isotropically at a wavelength of 0.700 meters. This stereo is stationary, but a person in a car is moving away from this stereo at a speed of 40.0 m/s. The frequency of sound waves that the car receives is ________. 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If there are 45 teachers at the school, how many students are there? Show your work or explain how you determine your answer.Write a literal/explicit equation to model the situation above. Where Y is the number of students and X the number of teachers at the school An obtuse triangle has side lengths of (5.5x + 6.2y) centimeters, (4.3x + 8.3z )and (1.6z + 5.1y) centimeters. Which expression represents the perimeter, in centimeters of the obtuse triangle? PLZ HELP ASAP :) To find the reactance XLXLX_L of an inductor, imagine that a current I(t)=I0sin(t)I(t)=I0sin(t) , is flowing through the inductor. What is the voltage V(t)V(t)V(t) across this inductor? Name two possible economic advantages, in addition to several other advantages or disadvantages, that neutrality gives the Nordic nations. Complete the sentences by matching the names of trees to the appropriate blanks. To do this, drag the names on the left into the appropriate blanks in the sentences on the right. Match the words in the left column to the appropriate blanks in the sentences on the right. Terms may be used more than once. Make certain you have filled every blank with a term before clicking Submit. 1. Evergreens are plants that maintain their leaves in all seasons and include trees such as cedar, elm, and pine. 2. Hardwoods reproduce using flowers and have broad leaves; hardwoods include trees such as cedar, elm, and pine. 3. Conifer leaves are generally thin and needle-like, while seeds are contained in cones. Conifers include pine and mango. 4. Deciduous trees lose their leaves seasonally and include trees such as maple and pine.maple mango cedar elm pine y=3x+17, 4x-3y=-26Use substitution to solve the system A cone with a diameter of 17 feet has a volume of 190.07 cubic feet, find the height of the cone. On Monday, Avi walked from his home to the school track and walked4 laps around the track for a total of 3.5 miles. On Saturday, Avi ran fromhis home to the school track, ran 2 laps, and then ran home for a total of4 miles. Let x represent the distance from Avis home to the school track,and let y represent the distance of one lap around the track.1. Write a system of equations to represent this situation.2. What is the distance from Avis home to the school track and aroundthe track?3. On Saturday, Avi walked from his home to the school track, walked 6times around the track, and then walked home. How far did he walk in all?Avi knows that the distance from his home to the library and back isat least 2.5 miles. He also knows that the distance from his home tothe library and then to the school track is less than 3 miles. Let prepresent the distance from Avis home to the library, and let qrepresent the distance from the library to the school track.4. Write a system of inequalities to represent this situation.5. Can the distance from Avis home to the library be 2 miles and thedistance from the library to the school track be 1 mile? Please answer this correctly In the diagram given below, lines I1 and l2 are parallel and t is a transversal. Find the value of x.PLS HELP The product of a number and its ___________ is A).oppositeB)reciprocal C)factorD)quotient