MATHEMATICS MIDDLE SCHOOL

Ok i have two algebra questions1.) Subtract: (7x^2-x-2)-(-6x^3+3)

A.) 6x^3+7x^2-x-5
B.) -6x^3+7x^2-x+1
C.) -x^3-x-5
D.) x^2-x+1


2.) f^2*f^4

A.) (2f)^8
B.) (2f)^6
C.) f^8
D.) f^6



Please explain how you got the last one.

I would appreciate it.

And i will thank you if its easy to understand

:)

Answers

Answer 1
Answer: Problem A: (7x^2-x-2)-(-6x^3+3)

You can consider the subtraction similiar to a -1(-6x^3+3). The 1 is implied. So to distribute that negative, we multiply this out.

-6x^3+3 becomes 6x^3 - 3

Our problem is now: 7x^2-x-2 + 6x^3 - 3

Now we add together like items. Let's rearrange for our sanity.

+ 6x^3 + 7x^2 - x - 2 - 3

Simplify: 6x^3 + 7x^2 - x - 5

Unfortionately, outside of factoring or something along those lines, that's as simple as we can get it. So the answer is A.

Problem B: f^2*f^4

Math rules tell us when we multiply the same bases with exponents, we add the exponents together. But the base doesn't change.

4+2 = 6. So: f^6 (D)

That's the easy answer: Math rules say so.

To expand on that specific rule, consider x^2 * x^3. What at the root are these saying? Multiply 2 copies of X, and then multiply 3 copies of x.

We can rewrite this same equation as x*x * x*x*x. 

Remember that since all of these are multiplication, there is no order of operations that needs to be followed.

If we were simplifying that version of the equation, we would write x ^ 5.

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Multistep Sandy charges each family that she babysits a flat fee of $10 for the night and an extra $5 per child.kimmi charges $25 per night no matter how many children a family has write a equation that compare the two girls also is the fees are the same how many children a family have to have in order to be the same
How many terms are in this expression? 4x + 3y - 12x + 5

The opposite of the original statement. These statements are also called the inverse of a conditional statement.

Answers

Answer:

Negation is the correct answer to the given question

Step-by-step explanation:

The main objective of Negation is to evaluated the inverse of a specified computational statement or the conditional statement. If the conditional statement is true then the negating statement is false or if the  conditional statement is false then the negating statement is True .The negation is represented by the symbol ~ .

For example :

F:      Number is 5.

~F:    Number is not 5.

Conditional statement         Negation(~)

True                                          False

False                                         True

All the other option are not determine the inverse of the conditional statement so these are incorrect option .

Need help on number 22 I really need help!!!!!!!!! If u can help on 23 that would be awesome!!!!!

Answers

22. If you add a number to a series of data, and it doesn't change the mean, that number MUST equal the mean. Try adding the mean number into it, hopefully it doesn't change the mode or median either.

23. Basically I think (can't quite read all the question!) just work out the circumference of a circle with radius 20 feet (urgh imperial), ie 2*pi*r so 40pi.
22.
mode=the number that occurs most in the set of numbers
median=if the number are in increasing order, the number in then middle
mean=average or if all the number are added together and divided by the number of numbers, you get the average, exg mean of 2,3,4=(2+3+4)/3=9/3=3



the numbers are
91,93,93,95,98,100
mode, the number that occurs most is 93
mediann, there are 6 numbers so there is no middle number
we must fix that
first find teh mean
91+93+93+95+98+100 divide by6=95
therefor the mean is 95
the easiest way to make the mean meadian and mode the same is add 2 more 95's into the order


91,93,93,95,95,95,98,100
mode=number occurs most=95
median=middle number=95
mean=91,93,93,95,95,95,98,100 added tother and divided by 9=95

the order is 91,93,93,95,95,95,98,100





23. so the circle that he can walk around, is representing the circumference of the circle
20 is the radius
circumference=2 times pi times raidus

c=2(pi)20
c=40pi
c= aprox125.664

the dog can walk 125.7 feet before returning to start

Anyone help ? Please thanku

Answers

Answer:

angle P

Step-by-step explanation:

corresponding parts of congruent angles are congruent

A corresponds to P (look at the order it's written)

Answer:

P

Step-by-step explanation:

If two triangles are congruent, then corresponding angles are congruent, and corresponding sides are congruent.

To know which angles are congruent, just follow the order given in the two triangles.

Triangle ABC is congruent to triangle PQR.

Angle A corresponds to angle P.

Triangle ABC is congruent to triangle PQR.

Angle B corresponds to angle Q.

Triangle ABC is congruent to triangle PQR.

Angle C corresponds to angle R.

Answer: Angle A is congruent to angle P.

1. Mandy kept track of the trade-in value of a collector’s coin for several months through February of this year. She determined the line of best fit for the data was y = 4x + 12, where y is the trade-in value, in dollars, x months after February of this year. According to the equation, when will the trade-in value of the coin be $44? a) December of the same year 
b) October of the same year 
c) April of the following year 
d) June of the following year 

Answers

44 = 4x + 12 32 = 4x X = 8 months after February = October of the same year. That's choice (b).

If quadrilateral MNPO is reflected over the x-axis, what are the coordinates ofpoint in the image?

Answers

Note: you have not added the image, so I am assuming the quadrilateral MNOP with coordinates M(-4, 0), N(5, -3), P(2, 6) and O(-5, 7). It will anyhow clear your concept as I would explain the concept of reflection over the x-axis.

Step-by-step explanation:

Considering the quadrilateral MNPO with assumed vertices

  • M(-4, 0)
  • N(5, -3)
  • P(2, 6)
  • O(-5, 7)

THE RULE OF REFLECTION states that when we tend to reflect a point let say (x, y), across the x-axis, the x-coordinate does not change or transform, but the y-coordinate is changed into its opposite sign i.e. (x,-y).

So, the coordinates of the point in the image after quadrilateral MNPO is reflected over the x-axis will be:

(x, y)                      (x, -y)

M(-4, 0)                     M'(-4, 0)

N(5, -3)                     N'(5, 3)

P(2, 6)                      P'(2, -6)

O(-5, 7)                   O'(-5, -7)

Hope, it will help you clear your concept regarding reflection of an object over the x-axis. Using this understanding, you can solve any other question related to this topic.

If the radius of Mars is about 13.7% of Neptunes radius what is the radius of Neptune

Answers

100/13.7 = 7.2999 
7.299 x radius of mars = 7.299 x 3397 = 24795.62 
therefore radius of Neptune = 24795.62 
Hope this could help!
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