Combine like terms, showing one step per line. Justify each step using a rule of algebra or "Combining Like Terms." You may need to add extra rows. Expression Justification 7x + 3 + 9x + 15 Given 7x

Answers

Answer 1

Answer:

By combining like terms, we have 16x + 18

Step-by-step explanation:

Here, we want to combine like terms

we simply bring terms that are similar together in this case

Thus, we have

7x + 9x + 3 + 15

16x + 18


Related Questions

A mathematical model that estimates the average atmospheric concentration of carbon​ dioxide, C, in parts per​ million, x years after 1950 is

Answers

Answer:

C = 306 +1.3x

Step-by-step explanation:

In 1950 the average atmospheric concentration of carbon dioxide was 306 parts per million with an estimated increase of 1.3 parts per million every single year. Therefore we can use these numbers to create the following mathematical model.

C = 306 +1.3x

This model multiplies the number of years after 1950 (x) by the estimated carbon dioxide increase per year in parts per million, and finally adds the initial atmospheric concentration of carbon dioxide from 1950 to calculate the current atmospheric concentration of carbon dioxide

Arrange the expressions in ascending order of their values when x = -2.
1-x^2/1-2x
x^2-1/1-2x
2x^2+x/2
3x^2+1/2(x-1)

Answers

Step-by-step explanation:

Option (1)

[tex]\dfrac{1-x^2}{1-2x}[/tex]

Put x = -2, let the value is y such that,

[tex]y=\dfrac{1-(-2)^2}{1-2(-2)}\\\\=\dfrac{1-4}{1+4}\\\\=-0.6[/tex]

Option (2)

[tex]\dfrac{x^2-1}{1-2x}[/tex]

Put x = -2, let the value is y such that,

[tex]y=\dfrac{(-2)^2-1}{1-2(-2)}\\\\=\dfrac{4-1}{1+4}\\\\=0.6[/tex]

Option 3)

[tex]2x^2+\dfrac{x}{2}[/tex]

Put x=-2 such that,

[tex]y=2(-2)^2+\dfrac{(-2)}{2}\\\\=7[/tex]

Option (4)

[tex]3x^2+\dfrac{1}{2(x-1)}[/tex]

Put x =-2 such that,

[tex]y=3(-2)^2+\dfrac{1}{2((-2)-1)}\\\\=11.83[/tex]

Ascending values : -0.6,0.6,7,11.83

or

[tex]\dfrac{1-x^2}{1-2x}[/tex]   <  [tex]\dfrac{x^2-1}{1-2x}[/tex]   <   [tex]2x^2+\dfrac{x}{2}[/tex]   <   [tex]3x^2+\dfrac{1}{2(x-1)}[/tex]

Six years ago Deki was P times as old as Benita was. If Deki is now 17 years old, how old is
Benita now in terms of P?
A. 11/P + 6
B. P/11 + 6
C. 17 - P/6
D. 17/P​

Answers

Answer:

A) 11/P + 6

Let Ben’s age now be B

Anita’s age now is A.

(A - 6) = P(B - 6)

But A is 17 and therefore 11 = P(B - 6)

11/P = B-6

(11/P) + 6 = B

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the sum of four consecutive odd numbers is 48?

Answers

Answer:

The numbers are 9 + 11 + 13 + 15.

Step-by-step explanation: The equation for this is simple.

Take x as the smallest number of the 4 numbers. The second number would be x +2, third number is x+4, and the fourth number is x+6. you add these together, and you get: 4x +12 = 48, you then solve this as a linear equation. 48-12 = 36. Then you divide by 4, which gives you 9 as the smallest number of the 4 numbers. Remember that the second number is  9+2=11, third is 9+4=13, and the fourth is 9+6=15. If you add these together you get 9+11+13+15=48.

Find the slope of the line through the points (5, -3) and (5, 4)

Answers

Answer:

Infinity

Step-by-step explanation:

Let one point is x1, y1 (5, -3)

the other is x2, y2 (5,4)

then slope = (y1-y2)/(x1-x2)

=(-3-4)/(5-5)

=-7/0

=Infinity

So slop is infinite

Vance used the associative property to write (4.5 m + StartFraction 7 Over 8 EndFraction) minus 9 as the equivalent expression 4.5 m (StartFraction 7 Over 8 EndFraction minus 9). Did Vance apply the associative property correctly? Why or why not?
Yes, the terms with variables should be written first.
Yes, the terms can be regrouped and still be equivalent.
No, the order of the terms should have been changed.
No, the addition symbol was dropped in the second expression.

Answers

Answer: D

Step-by-step explanation:

No, the addition symbol was dropped in the second expression is not correct.

What is Expression?

An expression is combination of variables, numbers and operators.

No, Vance did not apply the associative property correctly.

The associative property states that the grouping of terms in an expression can be changed without affecting the value of the expression.

However, in this case, Vance changed the order of the terms, but did not actually group them in a different way.

Additionally, Vance dropped the subtraction symbol in the second expression, which is incorrect.

The correct equivalent expression using the associative property would be:

(4.5 m + 7/8) - 9 = 4.5 m + (7/8 - 9)

From there, we could simplify the expression further, if needed.

Hence, No, the addition symbol was dropped in the second expression.

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George bought 7,5 cases of pancake mix for his diner. A case contains 12 1.3-pound boxes. How many pounds of pancake mix did george buy?

Answers

Answer:

7.5 x 12 = 90 to find out how many boxes

Then take the boxes x 1.3 = 117 pounds

Answer:

Déjà Vu

Step-by-step explanation:

i ve been reading this test before

Let C(t) be the amount of U.S. cash per capita in circulation at time 1. The table, supplied by the Treasury Department, gives values of C(t) as of June 30 of the specificd year. Interpret and estimate the value of C'(1980).

Answers

Answer:

Following are the solution to this question:

Step-by-step explanation:

C'(t) was its time, in years, or t shift of cash per unit. That C'(1980) meaning, therefore, becomes the change of cashier's population to t = 1980.  

They could either use t = 1970 or t = 1990 to approximate the C'(1980) price. When using t = 1970:

[tex]C'(1980) = \frac{[C(1980) - C(1970)]}{[1980 - 1970]}\\\\[/tex]

              [tex]= \frac{(571 - 265)}{10}\\\\ = \$ \ 30.6 \\[/tex]

t = 1990:

[tex]C'(1980) = \frac{[C(1980) - C(1990)]}{[1980 - 1990]}[/tex]

              [tex]= \frac{(571 - 1063)}{ -10} \\\\= \$ \ 49.2[/tex]

This is urgent please help!

Answers

Answer:

try the last one

Step-by-step explanation:

The following is a conversion table for hours and minutes. Which numbers belong in the hours column?

1, 2, 3
1, 2, 4
2, 3, 4
2, 5, 6

Answers

Answer:

Lesson 2 and metric conversions from Module 2. ... Problem 2: Convert hours to minutes. ... of minutes in one hour. How many minutes are in an hour? 0. 1. 2. 3. 4. 5. 6. 7. 8.

The complete table is given below. Then the correct option is C.

       Hours     Minutes

  2             120   3             180   4             240

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The following is a conversion table for hours and minutes.

We know that in one hour, there are 60 minutes.

In two hours, there are 120 minutes.

In three hours, there are 180 minutes.

Similarly, in four hours, there are 240 minutes.

Then the complete table is given below.

Hours     Minutes

  2             120

  3             180

  4             240

Then the correct option is C.

The complete question is given below.

The following is a conversion table for hours and minutes. Which numbers belong in the hour's column?

Hours        Minutes

                    120

                    180

                    240

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Find the quotient
2/3 divided by 3 = _

Answers

Answer:

2/9 should be the answer.

Step-by-step explanation:

In this example, the first thing we have to do is convert 3 to a fraction so that we can work with it, so 3 with turn into 3/1. Now we set up the problem using the keep change flip method. You 2/3 as it is, and you change the sign to multiplication. Then you flip the second fraction which is 3/1 to get 1/3. Now you have 2/3 x 1/3. Now multiply them and simplify if possible.

2/9 I think so correct me if am wrong

What is the value of angle PDV

Answers

Answer:

9y+7=2y+98

7y+7=98

7y = 91

y = 13

m<PDV = 2y+98

             = 2(13)+98

             = 26+98

             = 124

Help me please and thank you

Answers

Answer:

b/-4+8=5
Multiply each side by 4
-b+32=20
Move the constant to the right
-b=20-32
-b=-12
Change the signs
b=12

Solve x2 + 2x + 7 = 0 using the Quadratic Formula

Answers

X=-1+ i\6 thats that plus minus sign
-

The roots of the equation is x= -1 + i√6 or x= -1 - i√6/2.

what is Quadratic Equation?

A quadratic equation is of the form ax² + bx + c = 0 , which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem.

Given:

x² + 2x + 7 = 0

now, using Discriminant Method

D= √b² - 4ac

D= √4- 4(1)(7)

D= √-24

D= 2i√6

Now, x= -b± D/2a

x= -2 ± 2i√6/2

x= -2 + 2i√6/2  or x= -2 - 2i√6/2

x= -1 + i√6 or x= -1 - i√6/2

Hence, the roots of the equation is x= -1 + i√6 or x= -1 - i√6/2.

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Which statement is true about function f, which is shown in the graph?
f(x)=x^6+10x^4-11x^2

Answers

The correct answer is The function is even.

To do this, you take the function and plug –x in for x, and then simplify. If you end up with the exact same function that you started with (that is, if f (–x) = f (x), so all of the signs are the same), then the function is even.

Rachel is buying lunch for herself and two friends . She has a coupon for $20 off the total bill. Rachel wants to spend less than $60. Write an inequality to find out the cost of the meal if they all order the same meal for lunch.

Answers

If C represents the cost of the meal then
3c - 20 < 60

someone please help ;-; ​

Answers

So for A Write all numerators above the least common denominator Add the numbers
7
-
12

help me I'm desperate I'm begging you please I'm about to break down help​

Answers

because 10/9 is greater than one the product of 3 2/3 and 10/9 is greater than 3 2/3 :))

The discount price of a hat is $18. What is the regular price? $



PLZ HURRY!!!!!

Answers

Was that the whole question?

Help? If you can.

Questions 5-9 ONLY

Answers

Answer:

My answer got deleted for some reason so lemme try again:

Answer:

5. A

6. B

7. 115

8. 97

9. 123

Step-by-step explanation:

5. Corresponding angles are angles that in the same position. Examples of corresponding angles in this diagram would be, <1 and 5, <2 and <6, etc

6. Supplementary angles add up to 180 degrees. Angles < and <3 (answer choice B) are vertical angles (angles who equal each other) so they are not supplementary angles

7. m<7 and m<2 are alternate exterior angles which means that they equal each other. Another example of this angle pair is m<1 and m<8

8. m<5 and m<3 are same side interior angles, which means that they add up to 180 degrees. Another example of this angle pair is <4 and <6

9. m<1 and m<6 add up to 180 degrees.

Completely factor the expression.

Answers

Answer:

x(8xsquare+6x-20)

Step-by-step explanation:

Answer:

[tex]x(2x+4)(4x-5)[/tex]

Step-by-step explanation:

[tex]x(8x^{2} +6x-20)\\x(2x+4)(4x-5)[/tex]

Help ASAP WILL NSRK BRAINLIST IF CORRECT

Answers

Answer:

(1,1)

Step-by-step explanation:

PLZ Help Urgent. 15 POINTS, BRAINLY Guaranteed.
Plz Answer honestly or you will be reported.

Evaluate.

(−2)^6

Enter your answer in the box.

Answers

Answer:

-64

Step-by-step explanation:

I used a calculator lol.

The correct answer is 64
(-2)^6 take out the negative sign( you can't raise the exponent of a negative number)
2^6

2x2=4, 4x2=8, 8x2=16, 16x2= 32, and 32x2=64

Hope this helps :D

Answer right and I’ll give you brainliest

Answers

You divide x by y to get the rate of change

URGENT PLEASE HELP
Approximate the logarithm using the properties of logarithms, given
logb 2 ≈ 0.3562,

logb 3 ≈ 0.5646,
and
logb 5 ≈ 0.8271.
(Round your answer to four decimal places.)
㏒b(2b^3)

Answers

Answer:

kj gfbdhngfbd

Step-by-step explanation:


Due today by 7:00pm Plz help me will mark the brainiest

Answers

Answer:

It should be -36 because there are no parentheses if it was (-6)² then it would be 36 but since there are no parentheses its like -(6²) which is -36

Answer: the answer is -36

What's three digit number closest to 300 using 6, 2, 7, 3

Answers

Answer:

326

Step-by-step explanation:

Its hard to explain but you get the idea lol

Hey! Just do the first one! :) I also need this fast- so help! :((

Answers

Answer:

the second one

Step-by-step explanation:

that's the answer

it’s the second one

what is -6(-4d-8.3+3d)

Answers

Answer:

6d+49.8

If looking for d=8.316 but 6 is repeated

Step-by-step explanation:

Answer:

6 d+49.8

Step-by-step explanation:

I simplify

What is the median of this set 17,13,18,20,17,15,12,

Answers

Answer:

17

Step-by-step explanation:

12 13 15 17 17 18 20

The median is 17.

The median is found by putting a sequence of numerical data in ascending sequential order and finding the value in the middle of the list.
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