Choose the best definition for the following phrase: combining like terms (1 point)

Group of answer choices

A letter that holds the place for some unknown value in mathematics

A process where you must look for terms that have identical variable parts and then combine their coefficients

A process where if two things are equal, one can be put in the place of the other and nothing will change

Terms that have identical variable parts

Answers

Answer 1

Answer:

A process where you must look for terms that have identical variable parts and then combine their coefficients

Step-by-step explanation:

Combining like terms is adding or subtracting terms that have the same variable parts.

Answer: A process where you must look for terms that have identical variable parts and then combine their coefficients


Related Questions

I need help please answer fast!!!

Answers

Answer:

2 and -4 :) because -2×4=-8, and 4+(-2)=2. Solve x-2=0 and x+4=0, you get the answer I previously mentioned!

Please Help!!! Two parallel lines are cut by a transversal. What is the measure of 7?

Answers

Answer:

D. 77º

Step-by-step explanation:

Because 3 and 7 are corresponding angles and 3 = 77º, 7 also is 77º.

How many solutions exist for the system of equations graphed below?

a.) none
b.) one
c.) two
d.) infinitely many

Answers

Answer:

one

Step-by-step explanation:

When a system of equations is graphed, the solution is the coordinate that is plotted at the intersection of the two lines.

If the two lines cross once, there is only one solution.

If the two lines are on top of each other then there are infinitely many solutions.

If the two lines are parallel ( and never touch ) then there are no solutions

By looking at the graph we notice the two lines intersect once. So we can conclude that there is only one solution.

Answer: b) one

Detailed Explanation:

For the graph of a system of linear equations :-

• If the lines are parallel, then the pair of equations has no solution
• If the lines are coincident, then the pair of equations has infinite solutions
• If the lines are intersecting, then the pair of equations have one solution.

In this graph, the lines formed by the equations are intersecting at a point. Hence it has a unique solution.

Mr. Hussein is wrapping present. She has 2 yards of ribbon to use for 4 presents. How many yards or ribbon can she use for each present? Show with numbers, words, and a picture or diagram CAN SOMEONE HELP ME

Answers

Answer: you can use .5 yards of ribbon

Step-by-step explanation: this equals 18inches or 1.5 feet hope this helps

answer please hahahahhaha​

Answers

[tex]\dfrac{5-i}{4+3i}=\dfrac{(5-i)(4-3i)}{(4+3i)(4-3i)}=\dfrac{20-15i-4i-3}{16+9}=\dfrac{17-19i}{25}=\dfrac{17}{25}-\dfrac{19}{25}i[/tex]

Please answer !!!!!!!

Answers

The measure of all the angles is given below:

angle 1= 30

angle 2=  150

angle 3= 30

angle 4= 150

angle 5= 30

angle 6= 150

angle 7= 30

angle 8= 73.5

What is angle?

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

As,

angle 1= 30 (Vertically opposite angle)

angle 7= 30 (corresponding angle)

angle 4+30= 180 (linear pair)

 angle 4= 150

angle 4= angle 2= 150 (Vertically opposite angle)

angle 2= angle 6= 150  (corresponding angle)

angle 1= angle 5= 30  (corresponding angle)

angle (2x+3)= angle 4  (corresponding angle)

     2x+3= 150

      x= 73.5

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Help please thanksssssssssss

Answers

Answer:

what is your from my from is province philippines

wyatt has a square garden. he adds 3 feet to one side and 1 foot to the other and now it is a rectangle with an area of ft^2 what are the new dimensions of the garden

Answers

Answer:

The new dimensions are 6 ft and 4 ft.

Step-by-step explanation:

Let x = side of original square.

The sides are increased by 3 ft and 1 ft, so the new side lengths of the rectangle are

x + 3 and x + 1

The area of the rectangle is length × width.

area = (x + 3)(x + 1)

area = x² + 4x + 3

The area is 24 ft².

x² + 4x + 3 = 24

x² + 4x - 21 = 0

(x + 7)(x - 3) = 0

x + 7 = 0 or x - 3 = 0

x = -7 or x = 3

x + 3 = 3 + 3 = 6

x + 1 = 3 + 1 = 4

The new dimensions are 6 ft and 4 ft.

The profit from a business is
described by the function
P(x) = -5x² + 30x + 8, where x
is the number of items made,
in thousands, and P(x) is the
profit in dollars. How many
items will maximize the profit?

Answers

First of all we will understand the question!!

The question is saying that you are given a function and you have to find the value of x which will give the maximum profit... Lets solve it by finding the extrema using the vertex

[tex] \rm \: p(x) = - 5 {x}^{2} + 30x + 8[/tex]

Identify the coefficients a and b of the quadratic function

[tex] \rm \: p(x) = { - 5x}^{2} + 30x + 8 \\ \rm \: a = - 5 \: and \: b \: = 30[/tex]

Since a<0, the function has the maximum value at x, calculated by substituting a and b into x=-b/2a

[tex] \rm \: x = \frac{30}{ 2 \times (- 5)} [/tex]

Solve the equation for x

[tex] \rm \: x = 3[/tex]

The maximum of the quadratic function is at x=3

Which of the following transformations will result in an image that maps onto itself?
A. rotate 180 degrees counterclockwise and then reflect across the y-axis
B. reflect across the y-axis and then reflect again across the y-axis
C. rotate 90 degrees counterclockwise and then rotate 270 clockwise
D. reflect across the y-axis and then reflect across the x-axis​

Answers

If we reflect across the y-axis and then reflect again across the y-axis , it will give result an image that maps onto itself , Option B is the right answer.

What are the rules of Transformations ?

The reflection of the point (x,y) across the x-axis is the point (x,-y), across the y-axis is the point (-x,y). , across the line is the point (y, x)

The 90 degree counterclockwise rotation of a point (x, y) is the point (-y, x)

The 180 degree counterclockwise rotation of a point (x, y) is the point (-x, -y)

The 270 degree clockwise rotation of a point (x, y) is the point (-y, x)

Therefore on application of these rules

For Case A

The point will be (-y , x)

For Case B

The point will be (x,y)

Therefore Option B is the answer.

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Please help I’m begging you!!

Answers

Answer:

Here is the ans ...hope it helps:)

In class 8 A, there are 20 students, 55% students are present on Wednesday. Find out how many people are present that day? How many people are absent on that day?​

Answers

Answer:

11 students are present and 9 are absent.

what is the difference between squaring and taking the square root ?

Answers

Answer:

Squares are the numbers, generated after multiplying a value by itself. Whereas square root of a number is value which on getting multiplied by itself gives the original value.

Step-by-step explanation:

Hence, both are vice-versa methods. For example, the square of 2 is 4 and the square root of 4 is 2.

Find the measure of the missing angle.
112°
a

Answers

The measure of angle b is 112° and the measure of angle c is 68°

Calculating the measures of angles

From the question, we are to determine the measures of the missing angles

From the diagram,

b = 112° (Vertically opposite angles)

∴ b = 112°

Also,

112° + c = 180° (Sum of angles on a straight line)

c = 180°- 122°

∴ c = 68°

Hence, the measure of angle b is 112° and the measure of angle c is 68°

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Which rule describes a translation 3 units down?
A (x, y) → (x+3, y + 3)
B (x, y) → (x, y - 3)
(x, y) → (x, y + 3)
D (x, y) → (x, -3y)

Answers

B; the y axis is what moves up and down

Leg = 11 meters, Hypotenuse = 15 meters

Answers

Answer:

10.19

Step-by-step explanation:

Use the Pythagorean Theorem:

[tex]a^{2}+b^{2}=c^{2}[/tex]

Substitute the numbers given:

[tex]11^{2}+b^{2}=15^{2}[/tex]

[tex]121+b^{2}=225\\ b^{2}=225-121\\ b^{2}=104\\ \sqrt b^{2}= \sqrt{104} \\ b=10.19[/tex]

(08.05 LC)The histogram shows the number of prizes won by different numbers of students at a sports competition. Which of the following statements is correct regarding the number of students and the number of prizes won? A histogram titled Prizes Won is shown. The horizontal axis is labeled Number of Prizes with bins 0 to 3, 4 to 7, 8 to 11, and 12 to 15. The vertical axis labeled Students with values from 0 to 10 at intervals of 1. The first bin goes to 3, the second goes to 6, the third goes to 1, and the last goes to 9.

Answers

Answer:

It is C.

Step-by-step explanation:

First thing you would do is go through all the information and read the options then what you would do is see the labels and its will try to throw you off at A. saying that its Prizes instead of students that has won the prizes so there for

C. Six prizes were won by 4, 5, 6, or 7 students.

is your answer

Select the correct answer.
Which of the following represents a function?
A.
A value negative 7 in x corresponds to 45 in y. A value negative 4 in x corresponds to 52 in y. A value negative 1 corresponds to negative 2 in y. A value 2 in x corresponds to 45 in y.
B.
{(-7,-9), (-4,-9), (5,15), (7,19)}
C.
x 5 -5 10 5 -10
y 13 -7 23 17 -17
D.
A graph plots the points (negative 3, 1), (negative 3, negative 1), (negative 1, negative 3), (1, 5), (3, negative 3), and (4, negative 5) on the x y coordinate plane.

Answers

Answer:

A and B

Step-by-step explanation:

In both of these relations, each input corresponds to one and only output.

16-
15-
14-
13-
12-
11-
65
Distance (meters)
1698
master bedroom
living room
2nd bedroom.
X
0 1 2 3 4
5
6
7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 2
Distance (meters)
What is the area of the kitchen floor in this floor plan?
6 5
y
4
3
2-
0
kitchen
entry-
bath

Answers

Answer:

[tex]\huge\bold\color{pink}{- Magdonal -}[/tex]

Gamitin mo utak mo bleh

[tex]\red{\rule{10pt}{999999pt}}\orange{\rule{10pt}{999999pt}}\green{\rule{10pt}{999999pt}}\blue{\rule{10pt}{999999pt}}\purple{\rule{10pt}{999999pt}}[/tex]

The annual water usage in rockport increases at a rate of 10% every year as the town gets bigger. this year, the town used 6,740 megaliters of water. in 7 years, how much water will be used annually?
if necessary, round your answer to the nearest hundredth.

Answers

4618 mega liters of water, in 7 years, will be used annually.

What is interest?

Interest is the outlay you pay to borrow money. Interest is often deliberated as an annual percentage of a loan amount.

here, we have,

I=PRT/100

=6740×10/100×7

=674×1×7

=4618

the nearest hundredth is a 4618 this is the answer.

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Answer:

13,134.35 megaliters

Step-by-step explanation:

Plug in 6,740 megaliters for the initial amount, 0.1 for the rate of increase, and 7 years for the time elapsed.

y

= a(1+r)t

y

= 6,740(1+0.1)7 Plug in values

y

= 6,740(1.1)7 Add

y

= 6,740(1.94871…) Simplify

y

= 13,134.35325… Multiply

Round to the nearest hundredth.

13,134.35325… → 13,134.35

To the nearest hundredth, Rockport will use 13,134.35 megaliters of water annually.


The radius of a circle is 13 ft. Find its area in terms of pi.

Answers

Answer:

The area of the circle would be 530.93 sq ft.

Step-by-step explanation:

The formula is A = π r². We know that the radius or r is 13, meaning that the new equation is A = π 13². 13 to the second power is 169 meaning that the formula would now be A = π(169). 169 times π is 590.93 getting you your answer. I hope this helped! :)

A=169pi

A=pi radius squared
A=(13x13)pi
A=169pi
The question asked to answer in the terms of pi, so you leave pi in the answer, don’t multiply it.

I kinda need an explanation on how to solve this.

Answers

Answer:

36.

Step-by-step explanation:

There were 10 elephants that were marked.  Only 4 of those were counted.  The other 26 were new elephants.  Because of this, we know that there were 6 other elephants that were not counted.  There were the 30 counted, and the other 6.  Add those and you get 36.

Answer:

  75 elephants

Step-by-step explanation:

This sort of population study assumes that the probability of catching any particular elephant is the same as for any other.

__

We are given that there is a population of 10 painted elephants, of which 4 of them are caught in a sample of 30 elephants. We know the total population of painted elephants is 10/4 = 2.5 times the number caught in the sample. This suggests the total population of elephants is 2.5 times the sample size.

  estimated population = 2.5 × 30 = 75 . . . elephants

The value of x is 50% more than the value of t.
the value of y is 10% less than the value of w.
x = y
work out t/w

Answers

Answer:

To hard sorry

Step-by-step explanation:

The lengths of two sides of a triangle are 5 inches and 8 inches. Which of the following lengths could be the length of the third side of the triangle? Select all that apply.

Answers

By using the triangular inequality, we conclude that the other side must measure more than 3 inches and less than 13 inches.

Which values could the length of the third side take?

Remember that the triangular inequality says that the sum of any two sides on a triangle is larger than the other side of the triangle.

If we define the missing side of the triangle as x, then we must have:

5 + x > 8

8 + x > 5

8 + 5 > x

From the third inequality we get the upper bound:

13 > x.

From the first inequality we get the lower bound:

x > 8 - 5 = 3

Then:

3 < x < 13

This means that the other side of the triangle must measure more than 3 inches and less than 13 inches.

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heyyy.... can someone pls help asap. Rearrange the formula to write r in terms of P and pi.

[tex]p = 2r + \pi \: r[/tex]

Answers

Step-by-step explanation:

p = 2r + pi×r

p = r(2 + pi)

r = p/(2 + pi)

Answer:

r = [tex]\frac{p}{2+\pi }[/tex]

Step-by-step explanation:

p = 2r + πr ← factor out r from each term

p = r(2 + π) ← divide both sides by (2 + π )

[tex]\frac{p}{2+\pi }[/tex] = r

can someone help me out?

Answers

The factor if the root is 2 is x - 2 and the factor if the root is -3 is c + 3

Factors of a polynomial

According to the question, we are to find the factors of the polynomial expression

Given the polynomial expression

y = x² + x - 6

Factorize

y = x² + 3x - 2x - 6

y = x(x+3)-2(x+3)
y = (x-2)(x+3)

Hence the factor if the root is 2 is x - 2 and the factor if the root is -3 is c + 3

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Twenty-five students are competing in a Science Fair. In how many ways can 3 students win first, second, and third place?
A) 2.6 · 10^24 B) 3.9 · 10^25 C) 13,800 D) 19,656
Please help

Answers

Answer:

C

Step-by-step explanation:

[tex]\frac{25!}{(25-3)!} =13800[/tex]

what is 2x-45y=22 when y=21

Answers

answer:

483.5

step by step explanation:

2x-45y=22

2x-45(21)=22

2x-945=22

2x =22+945

2x=967

x=483.5

write an equation of the line that passes through (-6, 6) and is parallel to the line y = -2x + 2.

Answers

Answer:

y = -2x - 6

Step-by-step explanation:

We know that the slopes of the lines are equal when the lines are parallel to each other.

So, the equation of the given line is y = -2x + 2.

Here,

y = mx + c

y = -2x + 2

slope ⇒ m ⇒ -2

Therefore, the slope of the new line will be ( - 2 ).

And now we have to find the y-intercept ( c ).

For that let us use the given coordinate.

( -6 , 6 ) ⇒ ( x , y )

To find the y-intercept we have to make c the subject of the equation y mx + c.

Also, we have to replace m with ( - 2 ) as the slope of the new line is -2.

Let us solve it now.

y = m x + c

6 = -2 × -6 + c

6 = 12 + c

6 - 12 = c

-6 = c

Now we have found that,

m ⇒ - 2

c ⇒ -6

And now let us write the equation of the line.

y = m x + c

y = -2x - 6

Julian has partially filled the prism below with 16 unit cubes.

A rectangular prism with a length of 4, height of 3, and width of 3.

How many more unit cubes will he need to completely fill the prism?
11
20
25
36

Answers

He needs 20 more unit cubes to completely fill the prism

How to determine the number of unit cubes?

The dimension of the prism is given as;

4 by 3 by 3

The volume is calculated as:

Volume = 4 * 3 * 3

Volume = 36

He has already filled 16 units.

So, the units remaining is

Remaining = 36 - 16

Evaluate

Remaining = 20

Hence, he needs 20 more unit cubes to completely fill the prism

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