Which pair of terms can be combined into a single term?

Answers

Answer 1
Answer:

Answer:

Like Terms

Definition:

Terms that have identical variable parts (same variable(s) and same exponent(s)). When simplifying using addition and subtraction, you combine “like terms” by keeping the "like term" and adding or subtracting the numerical coefficients.


Related Questions

A cylindrical tank is half full of oil. The cylinder has a base radius of 100cm. The height of the cylinder is 250cm. 1litre=1000cm How many litres of oil are in the tank
Can you please explain for me?
Jada keeps 175 hair beads in a storage box. She chooses a bead without looking whatcolor it is, and returns it to the box. She does this severaltimes. Pink - 7 Green - 8 Red - 10 How many pink beads are in Jadas storage box
If....1=5 , 2=10, 3=30, then 4=?
Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. Find all solutions whenever they exist.X + 3y = 9 3x –y =  7

What is the next term in this geometric sequence
5/6,5/9,10/27,20/81

Answers

a_1=(5)/(6);\ a_2=(5)/(9);\ a_3=(10)/(27);\ a_4=(20)/(81)\n\n\nq=a_2:a_1\n\nq=(5)/(9):(5)/(6)=(5)/(9)\cdot(6)/(5)=(2)/(3)\n\n\na_5=a_4\cdot q\n\na_5=(20)/(81)\cdot(2)/(3)=(40)/(243)\to answer
(20/81) * (2/3) = 40/243;

the next term in this geometric sequence is 40/243.

Dion flips a coin 20 times and records if it comes up heads. If getting heads is a success, what is the probability of a success on each roll?. 0.2.
0.3.
0.5.
1.00

Answers

Answer:

0.5.

Step-by-step explanation:

A probability is the division of the number of desired outcomes by the number of total outcomes.

In this problem:

A coin can be either heads or tails, so there are two possible outcomes.

The desired outcomes is heads, so there is one desired outcomes.

So the probability of a success on each roll is 1/2 = 0.5

If the coin is fair, the probability of a success on each roll is 0.5.

20 pointsA vat contains 18 gallons of liquid when a drain pipe opens and the liquid begins to leave the vat at a rate of 4 gallons per hour.

Use the Line Tool to graph the amount of liquid remaining in the vat at any hour, x.

Answers

Step-by-step explanation:

Let x be the number of hours.

We have been given that a vat contains 18 gallons of liquid when a drain pipe opens and the liquid begins to leave the vat at a rate of 4 gallons per hour.

To graph the amount of liquid first of all we will find the equation of line for our given situation.

Since we know that equation of a line in slope-intercept form is:  y=mx+b, where, m = slope and b = y-intercept or initial value.

As liquid is leaving the vat at a rate of 4 gallons per hour, this means that amount of liquid in vat in decreasing 4 gallons per hour. As slope is also known as rate of change, so slope of our given line will be -4. A negative slope means that with each increase in x our y will decrease by 4.

As initially there were 18 gallons of liquid in vat, so our y-intercept will be 18.  

Upon substituting our given values in slope-intercept form of equation we will get,

y=-4x+18

Let us find x-intercept by substituting y=0 in our equation.

0=-4x+18

4x=18

(4x)/(4)=(18)/(4)

x=4.5

Now we will draw a line connecting our y-intercept and x-intercept from (0,18) to (4.5,0).  

Please find the attachment for the graph of the given line.


What is the missing number in this pattern?
2, 4, _, 16, 32
5
8
10
6

Answers

The pattern is multiplying the numbers by 2. If you time 4 by 2, you'll get 8. Therefore the answer is 8

Is the ordered pair (1, 4) a solution to the equation y = 2x + 1?If yes, is it the only solution?

A.
No, because the ordered pair does not fit the equation.

B.
Yes, but this ordered pair is not the only solution to the equation.

C.
Yes, and it is the only ordered pair that fits the equation.

Answers

Let's plug in x-coordinate x=1:

y = 2(1)+1 = 2 + 1 = 3, which is not 4.

So the answer is A.

Veronica earned $150 at work this past week in her paycheck. She wants to buy some necklaces which costs $6 each. She writes a function to model the amount of money she will have left from her paycheck after purchasing a certain number of necklaces. She writes the function, f(x)= 15 - 6x. Determine what x and f(x) stand for in the function.

(1) x=weeks; f(x)= dollars left 

(2) x=dollars left; f(x)= weeks

(3) x=necklaces; f(x)= dollars left

(4) x=dollars left; f(x)= necklaces

Answers

The answer is (3) x=necklaces; f(x)= dollars left. However, the function should be f(x)=150-6x, because she started with $150.