Will the sum of two linear expressions each with an x-term , always,sometimes,or never have an x-term ? Explain your reasoning

Answers

Answer 1

Answer:
The sum will have an x-term sumtimes ... whenever
the x-terms alone don't add up to zero.

Examples:

-- Two linear expressions:

   y + x
and
   y + 2x

The sum of the x-terms alone is (x + 2x) = 3x .
So the sum of the expressions has an x-term.

   (y + x) + (y + 2x) = 2y + 3x .
_______________________________

Two different linear expressions:

   y + 3x
and
   y - 3x

The sum of the x-terms alone is (3x - 3x) = zero.
So the sum of the expressions doesn't have an x-term.

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

Related Questions

-4x-2y=-12 4x+8y=-24
An expression is given : 9x — 7y — 6x
A yearbook printer charges based on the number of pages printed. Here is a table that shows the cost of some recent yearbooks.Number of pages 50 100 150 200Cost 1.55 2.25 2.95 3.65Which equation gives the cost, y, in terms of the number of pages, x?A.y = 0.014x + 49.15B.y = 0.014x + 1.55C.y = 0.014x + 0.85D.y = 58.8x + 0.85
What rights are specifically protected under the ninth amendment
2 4/7 times 1/4 plz help i need help but m extremely stupid plz help

PLEASE HELP ASAP Describe, in great detail, how you would graph a line that is in slope-intercept form.

Use y=-3x+ 5 as your example.

Answers

Hi there!

»»————-　★　————-««

Please see the explanation below.

»»————-　★　————-««

Explanation:

Recall the meanings of the variables in the slope-intercept equation.

⸻⸻⸻⸻

$\boxed{\text{\underline{Slope Intercept Form:}}}\n\ny=mx+b\n---------------\n\boxed{\text{Key:}}\n\n\rightarrow \text{m - slope}\n\rightarrow \text{b - y - intercept}$

⸻⸻⸻⸻

We already have one point given, the y-intercept. The y-intercept of a line when given a slope intercept form equation is: $(0, b)$

Using the example, we would graph the point (0,5) as our first point.

⸻⸻⸻⸻

To graph the second point, we need to understand the meaning of slope. The slope of a line can be remembered as 'rise over run'.
The slope for the given equation is -3.
This means we would have to go three units down and then one unit right from the y-intercept. Our new point would be (1,2).

⸻⸻⸻⸻

The result should be the graph attached.

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.

Thanks it’s really helpful

What number do you divide by 12 to get 9

Answers

Well I don't know. Let's figure it out together.

You said (a number) divided by 12 gives you 9 .

A fraction is the easiest way to show division, so
you can write this equation:

   (number) / 12 = 9

Now you can multiply each side of the equation by 12 .
When you do that, you have ...

   number = 9 x 12

   number =    108 .

Now you know how to find it. That's even better than just
having the answer.

Work backwards. 12*9=108
check: 108/12=9

What is 2.63 to the nearest tenth

Answers

2.6 or 2.60 I believe.

The 6 is the tenth place. And the number to the right is 3. Which is lower than 5. We round down.

2.63 becomes 2.6

-2/3m=-12 solve please

Answers

3*( $-(2)/(3m)$ )=(-12)*3
$-(2)/(m)$ =-36
- ( $(2)/(m)$ ):(-2)=(-36):(-2)
$(1)/(m)$ =18
m= $(1)/(18)$

-2/3m=-12
-2/3mx-3/2=-12x-3/2
m=36/2
m=18

The combined age of three relatives is 120 years. James is three times the age of Dan, and Paul is two times the sum of James and Dan. How old is each relative

Answers

The ages of each relative are 30, 10 and 80 years respectively.

Let James' age be J.

Let Dan's age be D.

Let Paul's age be P.

Translating the word problem into an algebraic expression, we have;

$J + D + P = 120$ ......equation 1

$J = 3D$ .......equation 2

$P = 2(J + D)$ ......equation 3

Substituting eqn 2 and 3 into eqn 1, we have;

$3D + D + 2J + 2D = 120\n\n6D + 2(3D) = 120\n\n6D + 6D = 120\n\n12D = 120\n\nD = (120)/(12)$

Dan, D = 10 years

For James;

$J = 3(10)$

James, J = 30 years.

For Paul;

$P = 2(J + D)$

$P = 2(30 + 10)\n\nP = 2(40)$

Paul, P = 80 years.

Therefore, the ages of each relative are 30, 10 and 80 years respectively.

Answers

The sampling strategy the mayor is using is D. Systematic sampling.

What type of sampling strategy is the mayor using?

Systematic sampling involves selecting every nth element from a list or population to create a sample. In this case, the mayor is selecting every fifth name from the list of town citizens.

It is a structured and ordered approach to sampling that ensures randomness and avoids potential biases that could be present in convenience sampling. Option D

Learn more about Systematic sampling at brainly.com/question/28505229

#SPJ2

I think it's B simple random.

Other Questions

Sally plans to run 12 miles. She ran 5 1/8 miles and then stopped for a water break. How many miles does Sakky have left to run?

This is 5th grade work if you needed to know

Helena uses a mixture of compost and topsoil in her garden. She purchased a total of 10 cubic yards of compost and topsoil for $180. If compost costs $25 per cubic yard and topsoil costs $15 per cubic yard, how many cubic yards of topsoil did she purchase?A.)3B.)4.5C.)5.5D.)7

You roll a number cube. You roll a number that is greater than 2 but less than 5.