Mathematics Middle School

PLEASE HELP WILL GIVE 30 POINTS
Add or subtract. Show your work for each problem
a. (x^2-4x+5)+(7x^2+2x-3) b. (7x^2+4x-6)-(2x^2-3x+1)

Answers

Answer 1

To solve this problem you must apply the proccedure shown below:

a) You must sum terms with same exponents, therefore, you have that the sum of these two polynomials is:

[tex] (x^{2}-4x+5)+(7x^{2}+2x-3) [/tex]

[tex] 8x^{2} -2x+2 [/tex]

b) First, you must mulitply the signs of the second polynomial by the negative sign, and them, you apply an algebraic sum. Therefore, the result is:

[tex] (7x^{2}+4x-6-2x^{2}+3x-1) \\ 5x^{2} +7x-7 [/tex]

The answers are: a)[tex] 8x^{2} -2x+2 [/tex]; b) [tex] 5x^{2} +7x-7 [/tex]

Answer 2

a)

x² - 4x + 5 + 7x² + 2x - 3

8x² - 2x + 2


b)

7x² + 4x - 6 - (2x² - 3x + 1)

7x² + 4x - 6 - 2x² + 3x - 1

5x² + 7x - 7

Related Questions

how many pairs of parallel sides does the quadrilateral appear to have

Answers

Where is the quadrilateral?
There are 4 parallel sides but has 2 pairs of parallel sides.

Shayla has 5 pets which is 3 more than half the number of pets Judy has. how many pets does Judy have

Answers

Judy has 4 pets
5+3=8
And If you cut that in half (8-4) it would be 4 :)
The answer to this is 4. 

If 5a=-4b+5 and 3a=-2b+3, what is 6b?

Answers

There are two equations and two variables. You can solve for each variable using either the elimination method or the substitution method. Here, I believe the elimination method would be best:
5a = -4b + 5
3a = -2b + 3
You can multiply the second equation by two, so the 4b and -4b in both equations will cancel each other out when you add them. So:
5a = -4b +5
6a = 4b +6
Add both equations together.
11a = 11
a = 1
Plug in the a value into any of the previous equations:
5(1) = -4b + 5
-4b = 0
b = 0
So, since we know that b = 0, 6b is also 0.

There are three questions. I'll give brainliest if you show your work for all three of them. Plz help and answer quickly!
What square root best approximates the point on the graph?
A square root of 5
A square root of 15
A square root of 28
A square root of 53

Hassan used the iterative process to locate the square root of 15 on the number line.
Which best describes Hassan’s estimation?
Hassan is correct because the square root of 15 is about 0.4
Hassan is correct because the point is on the middle of the number line.
Hassan is incorrect because the square root of 15 is less than 0.4
Hassan is incorrect because the point should be located between 0.1 and 0.2.

The point plotted on the number line is the square root of x.
What is the approximate value of x?
4
9
17
20

Answers

Hello! I apologize for any wait, I was away for some time. Once again, I apologize for any inconvenience, and if you have already moved on, I'll go ahead and explain this out anyways for future reference. 

1: What square root best approximates the point on the graph?
Well, here you are shown a number line. On the number line, there is a point. Guesstimating it shows it's around 5.1-5.2. It is definitely lower than 5.5, as that would be directly in the middle of 5 and 6. 

Well, the answer are:
A square root of 5
A square root of 15
A square root of 28
A square root of 53

Well, this question is a little unclear to me. I am considering if the question is stating that those numbers, 5, 15, 28, and 53 are ALREADY the sqaure root of a number, or if those 4 numbers are what you are supposed to find out which square root lines up to the point on the chart.

Because it seems that none of these four numbers would work with my first theory, I'll go with the simpler of the two, the latter. Meaning those four numbers are the numbers that you have to find the square root of, and the correct one should line up with the chart.

SO, pull out your calculator kiddo. You don't want to have to calculate square root by hand, you'll run out of paper/and or pencils before you know it. It usually takes a bit of time for each one, and considering you have multiple one's to calculate. . . Yeah, go with the calculator. 

So, plug in each of the numbers into a TI-84 or basically any calculator that works with square root calculations. 

Square root of 5: 2.2360679775
Square root of 15: 3.87298334621
Square root of 28: 5.29150262213
Square root of 53: 7.28010988928

Alright. Well, what do we know? From our guesstimation, the point looked to be close to 5.2

None of these match that EXCEPT C: 28

Your best shot for #1 is 28

2. Hassan used the iterative process to locate the square root of 15 on the number line. 

I'll be frank: I've never heard of the "iterative process" in my life, and if I have, i definitely can't recall. This is most likely a different term used for some other process that I probably DO know, but anyways, that's not quite relevant, so I'll carry on:

Looking at the graph we see H-man graphed his point on the number line at EXACTLY .45
We know this because the dot is directly in the middle of .4 and .5, and .45 is the best way to represent that (imagine .4 is .40, and .5 is .50 if this helps, the value is ultimately the same)

Now, H-man graphed this point specifically because he used his "process" to find the square root of 15. 

Once again, I'm not sure what this process is, but I'll help to the best of my ability. The square root of 15 is around 3.9

I'm assuming H-man's process simply moved around the decimal place, somehow. This I am not sure on, but it's the only thing that makes somewhat sense to me.

So, if this is correct, on his terms, the graphed point should be more like: 0.39

Now, his point is considerably further than this. This would mean (don't quote me on this) that Hassan is incorrect, and I would say this because the sqare root of 15 is less than .4

Yes, this doesn't make much sense to me, but if I'm correct, then this answer should also be correct. Relatively. 

3. The point plotted on the number line is the square root of x.
What is the approximate value of x?

Basically X represents the original number, and the numbers they give you are what they want you to choose the original number is. This is based on the point on the graph, which is at around 4.1, because this number is the square root of X.


To solve this, find the square roots of all 4 numbers (separately of course). 

The square root of 4 is: 2
The square root of 9 is: 3
The square root of 17 is: 4.12310562562
The square root of 20 is: 4.472135955

Now, from our guess we can clearly see the point is around 4.1
The answer that nearly matches this estimate EXACTLY is C: 17

Your choice here is 17

Total: 

#1=28
#2=Hassan is incorrect because the square root of 15 is less than 0.4 (guess)
#3=17

The square root which is best approximated by the point on the graph is given by: Option C: A square root of 28. Also, the square root of 15 lies between 3 and 4.

How to find the closest integer less than and greater than the square root of a number?

The function [tex]y = \sqrt{x}[/tex] is strictly increasing function for x ≥ 0.

Assuming that all the values of x are ≥ 1, whenever there is increment in the value of 'x', the value of y increases too.

That means, we've got:

[tex]x_1 < x_2 < x_3 \implies \sqrt{x_1} < \sqrt{x_2} < \sqrt{x_3} \: \text{(such that } x_1 \leq 1)[/tex]

Perfect square are those integers whose square root is an integer.

Let x-a be the closest perfect square less than x,

and let x+b be the closest perfect square more than x, then we get:
x-a < x < x+b (no perfect square in between x-a and x+b, except possibly x itself).

Then, we get:

[tex]\sqrt{x-a} < \sqrt{x} < \sqrt{x+b}[/tex]

Thus, [tex]\sqrt{x-a}[/tex] and  [tex]\sqrt{x+b}[/tex] are the closest integers, less than and more than the value of [tex]\sqrt{x}[/tex]. (assuming x is non-negative value).

Now, from the first graph, we see that the value of the square root is between 5 and 6, therefore, we have:

[tex]5 < \sqrt{x} < 6[/tex]

Now, squaring all the sides, we get:

[tex]25 < x < 36[/tex]

Thus, the number out of the given options, whose square root lies between 5 and 6 is given by: Option C: A square root of 28

It is because 25 < 28 < 36, and no other option satisfies this,

For square root of 15, the perfect squares closest to 15 are 9 and 16, therefore, we get:

[tex]\sqrt{9} < \sqrt{15} < \sqrt{16}\\\\3 < \sqrt{15} < 4[/tex]

Thus, the square root which is best approximated by the point on the graph is given by: Option C: A square root of 28. Also, the square root of 15 lies between 3 and 4.

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Sandy's orchard has only apple trees and pear trees and she is wanting to add some avocado trees. Currently, there are 4 apple trees for every 3 pear trees. She is wanting to plant enough avocado trees so that she has 2 avocado trees for every 5 pear trees in the orchard.
Sandy is planting 18 avocado trees, making the ratio of avocado trees to apple trees be to .

Answers

For every 3 pears there are 4 apples; therefore 1 pear = 1.33 apple.And in every 5 pears, there are 2 avocados; therefore 1 avocado = 2.5 pears.Since there are 18 avocado trees, the number of pears would be 45 pear trees. And since there are 45 pear trees, there will be 59.85 apple trees, rounding it off to 60 apple trees. So the ratio of avocado trees to apple trees would be 18 to 60 or 18: 60.

Hope this helped☺☺

(I think this is the answer)

Answer:

3 to 10 OR 3:10

Step-by-step explanation:

Me and my mate Dave order pizzas.I eat six eights of mine, Dave only manages two sevenths of his. If we put the remains together,can we make one whole pizza?

Answers

No, because 6/8 + 2/7 > 1

What is the slope of this line?

Answers

Hello!

To find slope, calculate the change in y-values and divide it by the change in x-values:

y1 - y2 / x1 - x2

You have the coordinates (-4, 5), (0, 6), and (8, 8). You can use any combination of two of these points to calculate slope. I'll use (0, 6) and (8, 8).

6 - 8 / 0 - 8
-2 / -8
1/4

Answer:
The slope of the line is 1/4
Hello there! Slope is rise/run. The formula for finding slope is y2 - y1/ x2 - x1, where you subtract the first x and y-coordinates from the second s and y-coordinates. We will use the points (0, 6) and (8, 8). The values will represent each of these:

y2 = 8
y1 = 6
x2 = 8
x1= 0

That makes the problem 8 - 6/ 8 - 0. Let's subtract. 8 - 6 is 2. 8 - 0 is 8. 2/8 is 1/4 in simplest form. There. The slope of the line is 1/4.

Four days before the 1997 500 Festival Parade, a fire destroyed 10 of the 14 floats. People wanted to know if the parade would be canceled. During the first two days after the fire, the Festival received an average of 22 incoming calls a minute. How many calls did the Festival receive in an hour? How many calls did the receive in 12 hours?

**The parade went off as planned four days later. More than 250,000 people lined the streets to view huge posters and replicas of the floats.

Answers

There are 1,320 calls every hour.. in 12 hours there are 14,760 calls.



Janine wishes to conduct a poll to predict how many dance club members will vote for her for club president.

Which polling methods are likely to be biased?

Select each correct answer.

Janine chooses 5 members that plan on voting for her and asks each to select another 5 members. These 25 members are asked for whom they intend to vote.

Every 10th club member from a list of all members is selected and asked for whom the member intends to vote.

From a list of all club members, 25 members are selected at random and asked for whom they intend to vote.

Five of Janine's friends are selected and asked for whom they intend to vote.

Answers

the answer choice: Five of Jainie's friends are selected and asked for whom they intend to vote is the right answer because friends tend to be bias.

The polling methods likely to be biased are when Option d. Five of Janine's friends are selected and asked for whom they intend to vote.

When conducting a poll, it is important to ensure the sampling method is random and representative. Here are the methods and their potential biases:

Janine chooses 5 members that plan on voting for her and asks each to select another 5 members. These 25 members are asked for whom they intend to vote. — This method is likely to be biased because it relies on the initial selection of supporters, which creates a non-random and unrepresentative sample.Every 10th club member from a list of all members is selected and asked for whom the member intends to vote. — This method is less likely to be biased as it uses systematic sampling, which is more representative of the entire population.From a list of all club members, 25 members are selected at random and asked for whom they intend to vote. — This method is unlikely to be biased because it employs a simple random sample, ensuring each member has an equal chance of being selected.Five of Janine's friends are selected and asked for whom they intend to vote. — This method is likely to be biased due to the convenience sampling of her friends, which is not representative of the entire club.

Hence option D is likely to be biased.

Complete question:

Janine wishes to conduct a poll to predict how many dance club members will vote for her for club president.

Which polling methods are likely to be biased?

Select each correct answer.

a. Janine chooses 5 members that plan on voting for her and asks each to select another 5 members. These 25 members are asked for whom they intend to vote.

b. Every 10th club member from a list of all members is selected and asked for whom the member intends to vote.

c. From a list of all club members, 25 members are selected at random and asked for whom they intend to vote.

d. Five of Janine's friends are selected and asked for whom they intend to vote.

BRAINLIEST!!!
Given the two functions,

What is the rate of change of each function? (the graph & the equation)

g(x) = 4x - 2

Answers

For the equation, the rate of change would be four.
Now looking at the graph, look at each point of the line that hits perfectly on a grid. Count up four, over two. The rate of change for the graph would be 4/2, or 2. Hope this helps!
Hi there!

Graph:
The rate of change is 2.

If we take the points (3,2) and (1, -2) and use slope triangles to find the slope, 4 ÷ 2 = 2, so the slope is 2.

Function:
The rate of change is 4.
The rage of change in a function in slope intercept form is always the number before x.

Hope this helps!

If k1/2 = integer and k1/4 = integer, which is a possible value for k?

Answers

An integer is a whole number that is not a fraction. So for both cases to not get a fraction one possible value would be k = 8 or any multiple of 4. 


Answer:

D: 81

Step-by-step explanation:

Did the usa test prep

sarita use 54 ounces of apples to make an apple pie how many pounds and ounces of apples did sarita use

Answers

one pound is 16oz. So you take 54 and minus it by 16 until you get something less that 16. Then you take how many times you subtracted it, and that is how many pounds. Then you take the "leftover" number and they you have your answer. 
so Sarita used 3 pounds and 8 oz. 
Hello,

Here is your answer:

The proper answer to this question is "3".

Here is how:

54 ounces= 3.375 pounds (rounded to 3)

1 pound=16 ounces

Your answer is 3.

If you need anymore help feel free to ask me!

Hope this helps!

a large aquarium 18 inches deep holds 30 gallons of water. a small aquarium with the same shape holds 20 gallons of water. how deep is the small aquarium to the nearest inch?

Answers

20 so -10 from 30 so the 18 is -10 right hope dis helped

a train traveled 1/5 of the distance between two cities in 3/4 hour. at this rate, how many hours will it take the train to travel the entire distance between these two cities

Answers

Im not sure but it might be six

The function f(x) is graphed below.

Use the graph of the function to find, f(1).

Answers

i think it would be the left on the 1

A function assigns the value of each element of one set to the other specific element of another set. The value of f(1) is equal to 2.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

As the graph of a function is given. The value of the function when the value of x, which is the independent variable in the function is equal to 1 can be found by referring to the graph.

To know the value, check the value of the function when the value of x is 1. Therefore, when the value on the horizontal line is equal to 1.

Since the value of the function is equal to 2 for the instance when the value of x is 1.

Hence, the value of f(1) is equal to 2.

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What series of transformations to quadrilateral ABCD map the quadrilateral onto ​ quadrilateral EFGH to prove that ABCD≅EFGH ?




a reflection across x-axis, and then a translation 4 units left

a reflection across x-axis, and then a translation 4 units right

a reflection across y-axis, and then a translation 4 units right

a reflection across y-axis, and then a translation 4 units left

Answers

B:  a reflection across the x-axis followed by a translation 4 units right.

Comparing the points to their mapped images compares A to E, B to F, C to G, and D to H.  In each point, the y-coordinate switches signs and the x-coordinate is subtracted by 4.

Reflections across the x-axis will switch the sign of the y-coordinate, and reflections across the y-axis will switch the sign of the x-coordinate.  Since the y-coordinates are the ones whose sign changed, the points must have been reflected across the x-axis.

Translations to the left will cause the x-coordinate to increase, and translations to the right will case the x-coordinate to decrease.  Since the x-coordinate of every point was subtracted, this means that the translation must have been to the right.

The correct series of transformations is a reflection across the x-axis, and then a translation 4 units left.

Let's start by labeling the vertices of quadrilateral ABCD as follows:

A(2, 4)

B(4, 5)

C(5, 4)

D(4, 1)

If we reflect quadrilateral ABCD across the x-axis, the new coordinates of the vertices will be:

A'(2, -4)

B'(4, -5)

C'(5, -4)

D'(4, -1)

Now, if we translate quadrilateral A'B'C'D' 4 units left, the new coordinates of the vertices will be:

E(-2, -4)

F(0, -5)

G(1, -4)

H(0, -1)

These are the coordinates of the vertices of quadrilateral EFGH.

Therefore, it can prove that for the transformation to quadrilaterals ABCD≅EFGH by reflecting quadrilateral ABCD across the x-axis and then translating it 4 units left.

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Which values in this data set are outliers?

61,53,21,48,78,84,56,52,58,62,63

Answers

21 and 84
Hope this helps☺

Answer:

21, 84

Step-by-step explanation:

graph the quadratic function f(x)=(x−4)(x+2).

Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

GRAPH FOR BRAINLIEST

Answers

see attached picture:
 vertex (1,-9)

Answer:

(1,-9) and (0,-8)

Step-by-step explanation:

clothing store buys coats for $50 and then sells them for $80. what is the percent of increase om the price of the coat?

Answers

% Change Formula=
(new # - original #) ÷ original # x 100

= (80-50)/50 x 100
= 30/50 x 100
= 0.60 x 100
= 60%

ANSWER: There is a 60% increase on the price of the coat.

Hope this helps! :)

60% is the percent of increase om the price of the coat.

What is the percentage?

The ratio of two numbers that has no dimensions is what is known as a percentage. It may be used to determine how much one number exceeds another when comparing two figures, or it is used to compare the two statistics to a uniform grid.

The clothes are brought for $50

The selling price is $80

% Change Formula=

(Selling price / cost price ) ÷ cost price# x 100

= (80-50)/50 x 100

= 30/50 x 100

= 0.60 x 100

= 60%

The cost of the coat has increased by 60%.

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Which module is not a function?

Answers

C would be your answer for this one my friend ☺
Choice C is not a function. The input of x = 2 leads to more than one output (y = -2, y = -1, y = 0, y = 1, y = 2). In order to have a function, any given input must have exactly one output. The other answers choices A, B, D represent this.

Jimmy and his family  are  on their way to visit some family friends who live

780 miles away from them. Based on the route they chose, they expect to

complete their trip in three days. The distances and average speeds for the

first two days driven are shown below.

• First day: 4 hours at an average speed of 60 miles per hour

• Second day: 6 hours at an average speed of 65 miles per hour

If the average speed on the third day is 60 miles per hour, how many more

hours will it take for them to reach their family friends’ home?

Answers

Hello!!!!

If they drive an average of 60 miles per hour the last day it will take them 2.5 hours.
4 hours at 60 miles per hour = 4*60 = 240 miles6 hours at 65 miles per hour = 6*65 = 390 miles
This is a total of 630 miles.  There are 780-630=150 miles left; if they average 60 miles per hour, that would be 150/60 = 2.5 hours.
Hope this helps!

Madison drove from Atlantic City to newmark. Madison drove for 284 miles at a constant speed of 58 mph how long did it take for Madison to get there?

Answers

4.89 Hours
284 divided by 58 is 4.89
You would divide 284 by 58 because she is going at a constant speed.
284 divided by 58 = 4.89 (approximately)
It took Madison 4.9 hours to get there.

solve for x: A=2xy what is the answer

Answers

the answer is x= A/2y
x =A/2y
thats the only answer based on information you given

Alexander reads 1/8 of a book each night. how long will it take him to read 3/4 of the book?

Answers

6 NIGHTS IS THE ANSWER YOU ARE LOOKING FOR!
3/4 =6/8 6/8 divided by 1/8 = 6nights

stacy has hired tom to build her a doll house. The doll house will be a scale model of her home, and the scale will be 2 inches:3ft. The living room in stacy's house is 18 feet by 12 feet and has wall-to-wall carpeting. Hiw many square inches of carpeting will Tom need for thevliving room in Stacy's doll house?

Answers

Final answer:

To find the area of the living room in Stacy's doll house, we need to use the given scale of 2 inches:3ft.

Explanation:

To find the area of the living room in Stacy's doll house, we need to use the given scale of 2 inches:3ft. First, we convert the dimensions of the living room from feet to inches. The dimensions of the living room in inches will be 18 feet * 12 inches/foot = 216 inches by 12 feet * 12 inches/foot = 144 inches.

Next, we multiply the dimensions by the scale factor of 2 inches:3ft. The dimensions of the living room in the doll house will be 216 inches * (2 inches/3ft) = 144 inches and 144 inches * (2 inches/3ft) = 96 inches.

Finally, we multiply the dimensions together to find the area: 144 inches * 96 inches = 13,824 square inches.

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What is a decimal in tenths that is less than 2.42 but greater than2.0

Answers

the decimal of 2.1 is greater than 2.0 but less than 2.42
The decimal of 2.1 is greater that 2.0 but less than 2.42

22. If triangle DEC equals about triangle BEC, which is true by CPCTC?

A. Angle EBC equals about angle EDC
B. Line AE equals about line EC
**C. Angle A equals about angle C
D. Line AE equals about line ED

I choose C but I’m Lost

Answers

D. Line AE equals about line ED because if you measure line AE it is the same length as line ED

Answer with explanation:

→Triangle DEC equals about Triangle B EC.

⇒The meaning of equal here,is that both the triangles that is,                  ΔDEC ≅ ΔB EC.

≡When Triangles are congruent,their corresponding sides and angles are equal .

Corresponding Sides which are equal by C P C TC:

1. BE = DE

2.BC =CD

3.EC, is Common.

Corresponding angles which are equal by C P C TC are:

1. ∠B EC=∠DEC

2. ∠ D CE=∠B CE

3.∠ E B C= ∠ E D C

Option A: ⇒Angle E BC equals about angle E DC

Hansel makes the following statement: "I have an 80% chance of being selected as the captain of the baseball team and a 10% chance of being elected student body president." What is the probability that Hansel will be selected as the captain of the baseball team and will be elected student body president?
4%
8%
70%
90%

Answers

Answer:

Its 8%

Step-by-step explanation:

turn the percentages into decimals and multiply them its will give you 8%.

Answer:

8%

Step-by-step explanation:

all i did was devide 80 by 10, im not sure its correct but it got the right answer apparantly :)

can someone please help me i don’t know this and i’m really stuck so please

Answers

Joaquin can send between at most 250 text messages per month. Since he has already sent 141, we must have
.. 141 +t ≤ 250

The solution to this model of the situation can be found by subtracting 141.
.. t ≤ 109

We graph the lower limit as zero because we know Joaquin cannot send a negative number of text messages.

Interpretation:
Joaquin can send between 0 and 109 additional text messages this month.

The sides of a triangle are 7, 4, n. If n is an integer, state the largest and smallest possible values of n.

smallest value-

largest value-

plz help

Answers

The smallest value it could be is 4 and the largest value it could be is 10.

The triangle inequality theorem states that any two sides of a triangle must have a sum greater than the third side.  Given the two sides we have, 7 and 4, the sum would be 11; this would mean that the missing side could be no more than 10.

If we take the unknown side and the smallest one we're given, we would have the inequality 
n+4>7

Subtracting 4 from both sides we would have n>3.  That means it would have to be the next integer up, which would be 4.

Smallest value and largest value of n is [tex]11 , 3[/tex].

The third side of a triangle has a range,

[tex]Sum\; of \;two\; other\; sides\geq n\geq Difference\; of\; the\; sides[/tex]

[tex]7+4\geq n \geq7-4[/tex]

[tex]11\geq n \geq 3[/tex]

Therefore

Largest[tex]=11[/tex]

Smallest[tex]=3[/tex]

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