Mathematics Middle School

what is the sum of the polynomials
(-x^2+9)+(-3x^2-11x+4).
• -4x^2-2x+4
• -4x^2-11x+13
• 2x^2+20x+4
• 2x^2+11x+5

Answers

Answer 1
The first step for solving this expression is to remove the first set of parenthesis.
-x² + 9 + (-3x² - 11x + 4)
Now,, remember that when there is a "+"sign in front of the parenthesis,, then the parenthesis in the expression remains the same. This means that all you need to do for the second side of the expression is remove the parenthesis.
-x² + 9 + -3x² - 11x + 4
Collect the like terms that have an exponent of two.
-4x² + 9 - 11x + 4
Add the regular numbers together.
-4x² + 13 - 11x
Lastly,, use the commutative property to reorder the terms and get your final answer.
-4x² - 11x + 13
Since we cannot simplify this expression down any further,, our final answer is going to be -4x² - 11x + 13 or option B.
Let me know if you have any further questions.
:)
Answer 2

The sum of the given polynomials is -4x²-11x+13. Therefore, option B is the correct answer.

What is addition of algebraic expression?

Addition of Algebraic Expressions is the process of collecting like terms and adding them. Identify and add the coefficients of like terms and sum them to find the final expression of given problems.

Given that, (-x²+9)+(-3x²-11x+4).

Here, -x²+9-3x²-11x+4

= (-x²-3x²)-11x+9+4

= -4x²-11x+13

Therefore, option B is the correct answer.

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Related Questions

The sum of two numbers is 55. One number is 4 times as large as the other. What are the numbers? PLEASE HELP

Answers

11 and 44 because 44 is 4 times as much bigger than 11

Answer:

44 and 11

Step-by-step explanation:

How can i find the missing angle of this shape?

Answers

The missing angle is 130 degrees.

The sum of all the angles of a hexagon equal 720 degrees. So, you'd add all the known angles together (this gives you 590), then subtract that from 720. Thus getting 130 degrees as a final answer.

I hope this helps!

Solve and graph on number line.
a-1 > -9

Answers

I’m not sure if this is helpful at all, but I put it in a math app called photomath, and the picture attached is what I got, a>8

Simplify the expression

Answers

Notice that we have a difference of squares in the numerator of our expression. In the denominator we have a quadratic expression of the form [tex]ax^2+bx+c[/tex]. So we can factor both numerator and denominator and cancel common terms:
[tex] \frac{w^2-9}{w^2-4w-21}= \frac{w^2-3^2}{(w+3)(w-7)} = \frac{(w+3)(w-3)}{(w+3)(w-7)}= \frac{w-3}{w-7} [/tex]

We can conclude that the correct answer is the fourth one: [tex]\frac{w-3}{w-7}[/tex] 

URGENTAbel uses a probability simulator to roll a six-sided number cube 100 times and to flip a coin 100 times. The results of the experiment are shown below: Number on the Cube
Number of Times Rolled
1 l 12
2 l 18
3 l 30
4 l 22
5 l 10
6 l 8
Heads:34 Tails:66
Using Abel's simulation, what is the probability of rolling a 2 on the number cube and the coin landing on tails?
84/10,000
1,188/10,000
18/100
66/100

Answers

The running of the simulation serves to give us an approximate probability of each of the outcomes, so in this case, P(Tails)=66/100 and P(2)=18/100.
The probability of two independent things occurring can be written as P(A)*P(B).
Therefore, the probability of a 2 and tails is (66/100)*(18/100)=0.1188= 1188/10000

Out of 28 students in a class, 7 have blue eyes. What is the probability a student picked at random from the class does NOT have blue eyes?


A) 1/4

B) 3/4

C) 1/7

D) 6/7

Answers

3/4 because 1/4 of the class has blue eyes, so the other 3/4 don't.
there are 28 total and 7 have blue eyes meaning the probability of picking so.eone with blue eyes is
[tex] \frac{7}{28} = \frac{1}{4} [/tex]
so the probability of pi king someone without blue eyes is the entire sample minus the probability of blue eyes so
[tex]1 - \frac{1}{4} = \frac{4}{4} - \frac{1}{4} = \frac{3}{4} [/tex]
so there is 75% chance of picking someone without blue eyes.

if u like my answer please rate as brainliest! thx

How many inches are equal to 10 centimeters? Remember, 2.54 cm = 1 in. Round your answer to the nearest hundredth. Do not include units in your answer.

Answers

Answer:

10 centimeters = 3.94 .

Step-by-step explanation:

We are given 2.54 cm = 1 in.

We need to convert 10 centimeters into inches.

We have 2.54 cm = 1 in.

On dividing both sides by 2.54, we get

[tex]\frac{2.54}{2.54}cm = \frac{1}{2.54} in[/tex]

1cm=[tex]\frac{1}{2.54}[/tex] in.

In order to find the number of inches in 10 centimeters, we need to multiply [tex]\frac{1}{2.54}[/tex] by 10.

On multiplying [tex]\frac{1}{2.54}[/tex] by 10, we get

=[tex]10\times \frac{1}{2.54}[/tex]=3.94.

Therefore,

10 centimeters = 3.94.

10 centimeters is approximately equal to 3.94 inches when converted using the conversion factor of 1 inch equals 2.54 centimeters.

The student is asking for conversion of a length measurement from centimeters to inches. Given that 1 inch equals 2.54 centimeters, you can convert 10 centimeters to inches by dividing by the conversion factor. Here's the calculation:

Identify the conversion factor: 2.54 centimeters per inch.

Divide the number of centimeters by the conversion factor: 10 cm \/ 2.54 cm/in = approximately 3.94 inches.

Therefore, 10 centimeters is approximately equal to 3.94 inches when rounded to the nearest hundredth.

which is a table of values for y = x - 12

Answers

we have that
y=x-12
so

for x=-5
y=-5-12----> y=-17

for x=-8
y=-8-12----> y=-20

for x=-7
y=-7-12----> y=-19

the answer is
x     y
-5  -17
-8  -20
-7  -19

Answer:

The second one

Step-by-step explanation:

-5 -17

-8 -20

-7 -19

What is the simplified form of square root 64x^16?
A. 8x^4
B. 8x^8
C. 32x^4
D. 32x^8

Answers


   [tex] \sqrt{64x^{16} } [/tex] 
We know that the root of 64 is 8 and the root of 16 is 4.
= [tex]8x^{4} [/tex]

The simplified form of [tex] \sqrt{64x^{16} } [/tex] is [tex]8x^{4} [/tex].

What is the mode of the given data set? 65, 45, 79, 56, 63, 45, 71, 69, 65, 53, 45

Answers

The mode of that data set is 45.
45
line them up from least to greatest an find the number that repeats the most
45 repeats 3 times

Mary and her dad shared one dozen brownies 2/6 of them have nuts which dad doesn't eat how many brownies did dad not eat because they had nuts

Answers

He did not eat 4 of the brownies.  This is because 2/6 is equivalent to 4/12.  That means he couldn't have eaten 4 of them. Hope that helps!!
“Dad”couldn’t eat 4 since 2/6 is equivalent to 4/12 and the problem states that Mary had cooked a dozen brownies so overall he couldn’t eat 4 brownies

What is the outlier in the following set?
28,31,40,26,38,65,39,35,30

Answers

The outlier is 65

All the numbers are from 26 - 40 EXCEPT for 65

Hope this helps :)

The running back for the Bulldogs football team carried the ball 3 times for a total loss of 6 3/4 yards. Find the average change in field position on each run. Enter the average change as a simplified mixed number.

Answers

-6 3\4 / 3 = -2 1/4
Average of -2 1/4 yards per play
Final answer:

The average change in field position per run is -2 1/4 yards. This is found by dividing the total yardage lost (6 3/4 yards) by the number of runs (3).

Explanation:

The subject of this problem is calculating the average. In this case, we are looking for the average yardage lost by the running back on each run. The running back for the Bulldogs football team has carried the ball 3 times for a total loss of 6 3/4 yards.

To find the average change in field position on each run, divide the total loss by the number of runs:

Convert the mixed number 6 3/4 to an improper fraction. This gives us 27/4. Divide the numerator (27) by the denominator (4). This gives us -6.75. Divide -6.75 by 3 (the number of runs). This gives us -2.25. Convert -2.25 to a mixed number, which gives us -2 1/4.

Therefore, -2 1/4 yards is the average change in field position on each run.

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1)you can use any side as the__ of a triangle.
2)An ___ is a region blinded by an arc and the two radii to the arcs endpoints.
3)the distance from the center to a vertex is the ___ of a regular polygon.
4)two arcs of a circle with exactly one point in common are ___.

9) A triangle has legs measuring 5ft and 12ft, and hypotenuse measuring 13ft. What is the area?

13) is the picture above.

17) what is the area of a regular hexagon with a perimeter of 240cm?

I have more questions but will post separately because they are all pictures!!!!

Answers

Answers:
(1) Base
(2) Sector of a circle
(3) Radius
(4) Adjacent arcs
(9) 30
(13) 256 ft^2
(17) 4156.92 cm^2

Explanations:
(1) It's a common convention that you can choose any side of a triangle as a base, but in specific cases like in the right-angled triangle, the base should always be the adjacent leg with which the 90 degree angle is made. In other words, in the case of right-angled triangle, the two legs of a triangle must be perpendicular to one another (meaning make 90 degrees angle). But in general triangles you can choose any side as a base of a triangle.

(2) The image is attached below. As you can see that a sector of a circle is actually the region which is shaded. Two radii that meet at the end points of an arc yield a region within a circle know as "sector". Hence the correct fill in the blank is the "sector of a circle." 

(3) The radius of a regular polygon is the distance from the center to any vertex. It is the same for each and every vertex. The radius is also the radius of the polygon's circumcircle, which is the circle that passes through every vertex. In this role, it is sometimes called the circumradius. Hence the correct answer is "radius."

(4) Adjacent arcs in simple words are the arc that lie next to each other. They have one point in common being next to each other. Hence the correct answer is adjacent arcs. One interesting fact is that a circle is made up of very large number of adjacent arcs.

(9) As the hypotenuse is mentioned, it means that it is a right-angled triangle; therefore:

Area of a right angled triangle = 1/2 * base * height
Area of a right angled triangle = 1/2 * 5* 12 = 30 ft^2

(13) The picture consists of FOUR right-angled triangles (making a parallelogram) therefore the area would be:
Area = 4 * 1/2 * base * height
Area = 4 * 1/2 * 12.8* 10 = 256 ft^2

(17) The general formula for the area of a polygon is:
Area = [tex] \frac{3 \sqrt{3} a^2 }{2} [/tex]

Where P = perimeter = 6a (hexagon)
=> a = P/6 

Plug in the values
Area = [tex]\frac{ \sqrt{3} P^2 }{24} = \frac{ \sqrt{3} (240)^2 }{24} = 4156.92 cm^2[/tex]

A giant pencil, in the shape of a cylinder, has a length of 36 inches and a diameter of 6 inches. On top, it has a cone-shaped tip with a height of 4 inches. What is the volume of the pencil terms of pi?

Answers

r=3
Vcyl.=36(9π)=324π
Vcone=4(9π)=36π
V pencil=324π+36π=360π

HURRY BRAINLIEST ALREADY TAKEN BUT WOULDN'T IT BE NICE TO KNOW YOU HELPED SOMEONE? :)
Is this right? Problem attached

Answers

The distance between Angela's house and the gas station, is the distance between the points (4,3) and (10,8). To find that distance, we are going to use the distance formula: [tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} [/tex]

From our two points we can infer that [tex]x_1=4[/tex], [tex]y_1=3[/tex], [tex]x_2=10[/tex], and [tex]y_2=8[/tex]. So lets replace those values in our ditance formula:
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} [/tex]
[tex]d= \sqrt{(10-4)^2+(8-3)^2} [/tex]
[tex]d= \sqrt{(6)^2+(5)^2}[/tex]
[tex]d= \sqrt{36+25}[/tex]
[tex]d= \sqrt{61} [/tex]

We can conclude that the gas station is [tex] \sqrt{61} [/tex] units, which is approximately 7.8 units, from her house.  

If f(x) = x2 and g(x) = 1 over 2x + 3 , find g(f(-1)).

Answers

f(x)=x^2
g(x)=1/(2x+3)
g(f(-1))=?

x=-1→f(-1)=(-1)^2→f(-1)=1
g(f(-1))=g(1)=1/[2(1)+3]=1/(2+3)→g(f(-1))=1/5

Answer: Third option 1/5

HELP ASAP!! I have my Algebra EOC tomorrow and I need help on this question. Please explain!!! 30 POINTS

Answers

figuring it out now.. one minute :)

PLZ HELP 20 POINTS!

What is7√2 in simplest radical form?

Answers

9.8 I think... I hope this helps in any way


Anna calculated the area of parallelogram with a base of 72
5
m and a height of 2 m. Her work is shown here.

Answers

step 2   7 and 2 over 5 is 7*5=35+2=37 over 5 not 35 over 5


hope that helps

Answer:

a , c

Step-by-step explanation:

on edge 2021

Sara got 98, 100, 65, 78, 98, 46, 100, 100, 45, and 50 on her reading test. Lee got 97, 67, 89, 99, 100, 45, 79, 89, 58, and 67 on his reading test. What is the mean of Sara's reading test? What is the mean of Lee's reading test? please help with both questions.

Answers

Answer:

Saras Mean on her reading test is 78

Lee's Mean on his reading test is 79

Step-by-step explanation:

You add grades for Sara's test together and then you will divide by the= number of graded test there were and you will get 78.

You add Lee's Grades for the test together and divide by the number of graded test there were and you will get 79.

The mean of Sara's reading test scores is 78, and the mean of Lee's reading test scores is 79.

To find the mean (average) score of Sara's and Lee's reading tests, we need to add up all of the scores and then divide by the number of scores.

Let's start with Sara's scores:

Sara's scores: 98, 100, 65, 78, 98, 46, 100, 100, 45, and 50.

Add up Sara's scores:

98 + 100 + 65 + 78 + 98 + 46 + 100 + 100 + 45 + 50 = 780

Divide the total by the number of scores (which is 10):

Mean of Sara’s scores = 780/10 ​=78

Now, let's calculate the mean for Lee's scores:

Lee's scores: 97, 67, 89, 99, 100, 45, 79, 89, 58, and 67.

Add up Lee's scores:

97 + 67 + 89 + 99 + 100 + 45 + 79 + 89 + 58 + 67 = 790

Divide the total by the number of scores (which is 10):

Mean of Lee’s scores = 790/10 ​= 79

So, the mean of Sara's reading test scores is 78, and the mean of Lee's reading test scores is 79.

Two mechanics worked on a car. The first mechanic worked for 5 hours, and the second mechanic worked for 15 hours. Together they charged a total of $1400. What was the rate charged per hour by mechanic if the sum of the two rates was $130 per hour

Answers

Let's define variables:
 x = Rate in $ / hr of the mechanic working 15hr
 y = Rate in $ / hr of the mechanic working 5hr
 We have the following system of equations:
 x + y = 130
 15x + 5y = 1400
 Solving the system we have:
 x = $ 75 / hr
 y = $ 55 / hr
 Answer:
 the rate charged per hour by mechanics was:
 x = $ 75 / hr
 y = $ 55 / hr

I need help... i don't really understand this...


In 2000, the circulation of a local newspaper was 3,250. In 2001, its circulation was 3,640. In 2002, the circulation was 4,100. a. Find the percent of increase in the newspaper’s circulation from 2000 to 2001 and from 2001 to 2002. b. Which period had a higher percent of increase, 2000 to 2001, or 2001 to 2002?

Answers

The formula for percentage change is:

(New number - Original number) / Original number × 100 = Percentage change


(3640-3250)/3250 x 100 =
(390)/3250 x 100 =
.12 x 100 = 12%

(4100-3640)/3640 x 100 =
(460)/3640 x 100 =
.1263736264 x 100 = ~ 12.6%

2001 to 2002 had a higher percent of increase.


The percent of increase in the newspaper’s circulation from 2000 to 2001 and from 2001 to 2002 is 12% and 12.6% respectively

Given:

2000 = 3,250

2001 = 3,640

2002 = 4,100

Percentage change2000 to 2001 = (Difference in change) / old value × 100

= (3,640 - 3,250) / 3,250 × 100

= 390 / 3,250 × 100

= 0.12 × 100

= 12%

Percentage change 2001 to 2002 = (Difference in change) / old value × 100

= (4,100 - 3,640) / 3,640 × 100

= 460 / 3,640 × 100

= 0.126373626373626 × 100

= 12.63736263736263%

Approximately,

12.6%

Therefore, the period which had a higher percent of increase is 2001 to 2002

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4. Rosa plays games at a fair. She can buy 8 game tokens for $ 1. Each game cost 2 tokens. How many games can she play with 120 tokens? Write a rule and complete the table.

Please help with the bottom one too

Answers

Answer:

60 tokens and the rule is the number of tokens divided by 2

20 cups of oats and the number of cups of raisins times 2

Final answer:

Rosa can play a total of 60 games with 120 tokens.

Explanation:

To determine the number of games Rosa can play with 120 tokens, we need to divide the total number of tokens by the number of tokens required to play a game. Since each game costs 2 tokens, we divide 120 by 2. This gives us the number of games Rosa can play, which is 60.



We can also write a rule to calculate the number of games Rosa can play. Let G represent the number of games, and T represent the number of tokens. The rule would be: G = T ÷ 2. We can substitute T with 120 to find G: G = 120 ÷ 2 = 60.



Here is a table that shows the number of games Rosa can play for different numbers of tokens:




 
   Number of Tokens
   Number of Games
 
 
   2
   1
 
 
   4
   2
 
 
   6
   3
 
 
   8
   4
 
 
   10
   5
 
 
   ...
   ...
 

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A malt shop used one-fourth of a box of waffle cones every day they were open. How many days would 2 whole boxes last them

Answers

It would last them 8 days
8 open business days. 

10 point! Please Help! ASAP!!

How many more cubic inches of juice will cup B hold than cup A when both are completely full? Round your answer to the nearest tenth.

A 8.8 cubic inches
B 10.1 cubic inches
C 14.7 cubic inches
D 22.3 cubic inches

Answers

The answer for the given equation is C
Find the volume of each cup.

Volume of cup A = [tex] \frac{1}{3} \pi r^{2} h[/tex]

V = [tex] \frac{1}{3} (3.14)(1)^2(4)[/tex]
V = [tex]4.187[/tex]

Volume of cup B = [tex] \pi r^2h[/tex]

V = [tex](3.14)(1)^2(6)[/tex]
V = [tex]18.84[/tex]

Now subtract the volume of cup A from cup B.

18.84 - 4.187 = 14.653

cup B will hold 14.7 cubic inches more juice than cup A.

The answer is C.

Hope this helps :)

What is the simplified form of the equation 3/5n-4/5=1/5n ?

A- n=-1
B- n=2
C- n =5/3
D- n=5/2

Answers

3/5=.6
4/5=.8
1/5=.2
The answer is n=-1

Answer:

B. n = 2

Step-by-step explanation:

Given equation,

[tex]\frac{3}{5}n-\frac{4}{5}=\frac{1}{5}n[/tex]

[tex]\frac{3n-4}{5}=\frac{n}{5}[/tex]

[tex]3n-4=n[/tex]

Subtracting n on both sides,

[tex]3n - 4 - n = n - n[/tex]

[tex]2n - 4 = 0[/tex]

Adding 4 on both sides,

[tex]2n=4[/tex]

Divide both sides by 2,

[tex]n=2[/tex]

Hence, OPTION B is correct.

The volume of a cube can be found using the equation V = s³, where V is the volume and s is the measure of one side of the cube. Match the equation for how to solve for the side length of a cube to its description. Drag the equation into the box to match the description.A cube has a volume of 756 in³.

Answers

If the Volume of the cube is 756in³,  then
756in³ = s³  now just take the cube root of each side of the equation.
[tex] \sqrt[3]{756} = \sqrt[3]{ s^{3} } [/tex]
so the new equation to solve for 's' is:
[tex]s= \sqrt[3]{756} [/tex]

Answer:

Step-by-step explanation:

At a ballroom dancing lesson there were twenty-three students. Deena danced with six boys, Chloe with seven, Moira with eight and so on for all the girls up to the last girl, Anna, who danced with all the boys. How many boys were at the lesson?

Answers

There were 9 girls at the party and 14 boys 

First girl, Deena danced with 6 boys.

Second girl, Chloe danced with 7 boys.

Third girl, Moira danced with 8 boys.

And so last girl, Anna danced with all boys, given is an arithmetic series as 6, 7, 8, ........, a+(n-1)d.

Let's assume number of girls are 'n'.

Last term of a.p. series would be number of boys = a+(n-1)d.

Here a=6 and d=1, so number of boys = 6+(n-1)*1 = 5+n.

Given there were 23 students.

So total students = number of girls + number of boys

23 = n + (5+n)

23 = 2n + 5

2n = 23-5 = 18

n = 9.

Hence, there were 9 girls and 14 boys.

The base of a pryramid can be any polygon how many faces does a pentagonal pyramid have ? Describe the shapes of the faces 22 points plz help give a good answer

Answers

The pentagonal pyramid will have 6 faces: 5 triangular and 1 pentagonal.  We know what one face is - the pentagonal base.  Since a pentagon has five edges, and the other triangular faces extend from these edges to the point of the pyramid, there must be 5 other sides.  I have also attached images of this pyramid both regular and flattened out so you can picture what it looks like.

A pentagonal pyramid has six faces: one pentagonal base and five triangular lateral faces. Each side of the pentagonal base connects to the apex forming five triangular faces. The total number of faces is six.

A pyramid is a three-dimensional geometric shape with a polygon as its base and triangular faces that meet at a single point called the apex.

A pentagonal pyramid has a base in the shape of a pentagon.

The total number of faces in a pentagonal pyramid equals the number of sides on the base (5) plus one more for the base itself, giving a total of six faces.

Thus, a pentagonal pyramid consists of six faces - one pentagonal base and five triangular lateral faces.

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