Like terms are terms that have same variable. For example:
2x and x are like terms because they have same variable which is x. y and 3y both are like terms because they have same variable which is y. 2x and y both are not like terms because x-term and y-term are not the same variable or term.The thing that you need to becareful is about the degree. Even though x² and x both are also x-term, but they are not considered like terms. So basically like terms are terms that have same variable and same degree.
Given the expression below:
[tex] \large{2x + 2y + {x}^{2} - x + {x}^{2} }[/tex]
From the expression:
2x and x are like terms.x² and x² are also like terms.Arrange in better form for our calculation.
[tex] \large{(2x - x) + 2y + ( {x}^{2} + {x}^{2} )} \\ \large{x + 2y + 2 {x}^{2} }[/tex]
You might also want to arrange the expression degree (optional but recommended).
[tex] \large{2 {x}^{2} + x + 2y}[/tex]
Answer
2x²+x+2yAnswer:
2x² + x + 2y
Step-by-step explanation:
2x + 2y + x² - x + x²
combine like terms
2 x - x + 2 y + x² + x²
x + 2 y + 2x²
rewrite the equation. ..( optional )
2x² + x + 2y
If a_1=5a
1
=5 and a_n=a_{n-1}+4a
n
=a
n−1
+4 then find the value of a_5a
5
.
Answer:
[tex]a_5 = 21[/tex]
Step-by-step explanation:
Arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + d(n-1)[/tex]
In which [tex]a_1[/tex] is the first term and d is the common difference.
In this question:
[tex]a_1 = 5, d = 4[/tex]. So
[tex]a_n = a_1 + d(n-1)[/tex]
[tex]a_n = 5 + 4(n-1)[/tex]
Find the value of a_5
[tex]a_n = 5 + 4(n-1)[/tex]
[tex]a_5 = 5 + 4(5-1) = 5 + 16 = 21[/tex]
So
[tex]a_5 = 21[/tex]
The [tex]a_{5}[/tex] term of an arithmetic sequence is 21.
What is an arithmetic sequence?An arithmetic sequence is a sequence of numbers where the difference between consecutive terms is constant, and this difference is called the common difference.
The nth term of the sequence is given by
[tex]\rm a_{n} =a_{1} + (n-1)d\\[/tex]
[tex]a_{1}[/tex]= the first term of the sequence and d is a common difference.
[tex]\rm a_{1} = 5, d=4\\\rm a_{n} =a_{1} + (n-1)d\\\rm a_{n} = 5 + 4(n-1)\\\rm a_{5} = 5 + 4(5-1)\\\rm a_{5} = 21[/tex]
Therefore, The [tex]a_{5}[/tex] term of an arithmetic sequence is 21.
Learn more about arithmetic here;
https://brainly.com/question/2171130
find a diginacci sequence with no equal term to 11: quick answer please
Answer:
uhh hope this helps
Step-by-step explanation:
A Diginacci sequence is created as follows.
• The first two terms are any positive whole numbers.
• Each of the remaining terms is the sum of the digits of the previous
two terms.
For example, starting with 5 and 8 the Diginacci sequence is
5, 8, 13, 12, 7, 10,. . .
The calculations for this example are
5 + 8 = 13, 8 + 1 + 3 = 12, 1+ 3 +1+ 2 = 7, 1 + 2 + 7 = 10.
a) List the first 26 terms of the Diginacci sequence above.
b) Find, with explanation, two starting terms for a Diginacci sequence
so that its 2021st term is 11.
c) Find, with explanation, a Diginacci sequence that has no term equal
to 11.
d) Find, with explanation, a sequence with two different starting terms
which contains five consecutive terms that are even and not all identical
Both 2 and 3 is correct.
What is the range of the data?
y = - 1/5x+5 what is the slope and Y- intercept
Evaluate: (g + ƒ)(2)
From the graph,
g(2) = 4 ( from the coordinate (2,4))
[ The green line represent the function g(x)]
f(2)= 0
[ The red line represent the function f(x)]
(g + ƒ)(2) = g(2)+f(2) = 4+0 = 4
OPTION A is the correct answer
solve the equation. Express decimals to 3 places.
3^x = 7
Answer:
1.771
Step-by-step explanation:
log 3^x = 7
x log3 = log 7
divide both sides by log3
x = log7 / log 3
x = 1.771
Answer:
Answer of given question is 1.771
Step-by-step explanation:
Given :
[tex]3^x=7[/tex]
Taking log on both side
[tex]log(3^{x} )=log 7\\xlog3=log7\\x=\frac{log7}{log3} \\x=1.7712[/tex]
Therefore, answer of the given question is 1.771
On a piece of paper, draw a box plot to represent the data below. Then
determine which answer choice matches the box plot you drew.
22, 28, 29, 34, 36, 42, 44, 57, 58, 60, 61
Answer:
61
Step-by-step explanation:
thats right
Which function has the same y-intercept as the function
Y=2/3x-3?
Answer: 6x - 7y = 21
Step-by-step explanation:
sorry if its wrong
Which one hurry
A.50
B.80
C.90
D.100
Answer:
I think its
im not sure
Step-by-step explanation:
i need y’all to help me asap!!!!!!
Answer:
-1
Step-by-step explanation:
f(0) = -5^0 = -1
Consider the following function:
f(3) = log2(x + 3)
Which interval has the smallest average rate of change in the given function?
O (0,2
O 4,6]
O [2,4
O (6,8)
In the function f(x) = log2(x + 3)), the smallest average rate of change in the function is in the interval, (6,8)
What is a logarithmic function ?The logarithmic function is an expression which we can write as, y = logₐx, where a>0 & x>0, It is the inverse of exponential function.
Formulae for logarithmic function are,
LogAB = LogA + LogB
Logₐaᵇ = b
Given that,
A logarithmic function,
f(x) = = log2(x + 3)
Rate of change = Change in values of function/change in x
= [F(b) - F(a)]/ b-a
For the interval, (0, 2)
f(0) = Log2(0 + 3) = Log(6)
f(2) = Log2(2 + 3) = Log(10)
Rate of change = Log(10) - Log(6) /2
= 0.11
Similarly, for the intervals, (4, 6), (2, 4), (6,8)
Hence, the smallest average rate is for the interval, (6, 8)
To know more about Logarithmic function check:
https://brainly.com/question/27389970
#SPJ1
Plz help me solve this thanks
A restaurant needs a staff of 3 waiters and 2 chefs to be properly staffed. The joint probability model for the number of waiters (X) and chefs (Y) that show up on any given day is given below. X Y 0 1 2 3 0 k 0.01 0.01 0.03 1 0.02 0.04 0.04 0.06 2 0.02 0.01 0.06 0.63 a) What must the value of k be for this to be a valid probability model
Solution :
Given the Joint Probability distribution is :
Y|X 0 1 2 3 P(y)
0 k 0.03 0.03 0.03 k+0.09
1 0.01 0.02 0.04 0.04 0.11
2 0.01 0.01 0.05 0.72 0.79
P(x) k+0.02 0.06 0.12 0.79 k+0.99
Since we know,
[tex]$\sum \sum P(x_i,y_j) = 1$[/tex]
⇒ k + 0.99 = 1
⇒ k = 1 - 0.99
⇒ k = 0.01
Therefore, the value of k is 0.01
a triangular prism is 37 millimeters long and has a triangular face with a base of 42 millimeters and a height of 28 millimeters.The other two sides of the triangle are each 35 millimeters.What is the surface area of the triangular prism?
No links pls
Answer: 4145.43
Have a great day! ;)
[tex]\frac{1+siny}{cos y}+\frac{cos y}{1+sin y}[/tex]
[tex]\frac{cot x}{tanx+cot x}=cos^2x[/tex]
csc^2θ·tan^2θ - 1 = tan^2θ
Step-by-step explanation:
a)
[tex] \frac{1 + \sin y}{ \cos y} + \frac{ \cos y}{1 + \sin y} = \frac{1 + 2 \sin y + \sin^{2} y + \cos ^{2} y}{ \cos y(1 + \sin y)} [/tex]
[tex] = \frac{2 + 2 \sin y}{ \cos y (1+ \sin y)} = \frac{2}{ \cos y} = 2 \sec y[/tex]
b)
[tex] \frac{ \cot x}{ \tan x + \cot x} = \frac{ \cos x}{ \sin x( \frac{ \sin x}{ \cos x} + \frac{ \cos x}{ \sin x} )} [/tex]
[tex] = \frac{ \cos x}{ \frac{ \sin^{2} }{ \cos x} + \cos x } = \frac{ \cos x}{ \frac{ \sin ^{2} x + \cos^{2} x}{ \cos x} } [/tex]
[tex] = \cos ^{2} x[/tex]
c) Note that cscx = 1/sinx so
[tex] \csc^{2} \theta \tan^{2} \theta - 1= \frac{1}{ \cos^{2} \theta } - 1[/tex]
[tex] = \frac{1 - \cos^{2} \theta }{ \cos \theta} = \frac{ \sin^{2} \theta}{ \cos ^{2} \theta } = \tan^{2} \theta[/tex]
Now select points B and C, and move them around. What do you notice about as you move B and C? What do you notice about the ratios of the lengths of the intersected segments as you move B and C?
Answer:
As points B and C move, DE moves in such a way that it remains parallel to BC. The lengths of the segments change with B and C, but the ratios remain the same.
Step-by-step explanation:
Plato Answer
Answer:When points B and C move, DE moves yet it remains parallel to BC.
Lengths segments change with B and C: ratios remain the same.
Step-by-step explanation:
I changed up the sample answer same stuff just worded different so it is not put as plagiarism
I need the answer. Plzzzzzz
Answer:
J
because there is only one number in between 10-19 which is 18. One number in between 20-29 which is 26. 2 numbers in between 40-49 which is 46 and 47. 3 numbers in between 50-59 which is 53, 54, 59. and 1 number in between 70-79 which is 75
Step-by-step explanation:
Brainly?
What is the slope of the line described by the equation below?
y=-x+ 8
O A. -8
O B. -1
O C. 8
O D. 1
Answer:
-1
Step-by-step explanation:
See Image below:)
Answer:
-1
Step-by-step explanation:
Factor the expression completely. 28x2 + 20
Answer:76
Step-by-step explanation:
A set of eight cards contains one joker. Player A chooses 5 cards at random,
Player B takes the remaining three cards. What is the probability that Player A has the joker?
Player A discards 4 cards and Player B discards two cards. It is known that the joker has not been discarded, what is the probability that Player A has the joker?
Answer:
56%
Step-by-step explanation:
because of the 56% it had to be true to be in the question at all.
find the missing angles
Answer:
83°
Step-by-step explanation:
The sum of all interior angles of a trapezoid is 360°.
103° + 97° + 77° + x° = 360°
Solve for x°
x° = 83°
Answer:
83° pow
Step-by-step explanation:
Baka tama ee kasi yna sagot ko sa module e
Help meeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
the answer is in the above image
use the app
WOLFRAM ALPHA it helps a lot
Answer:
[tex] \frac{1}{ 2^{1} } + \frac{1}{ {3}^{2} } + \frac{1}{ {4}^{3} } + \frac{1}{ {5}^{4} } + ... \\ \frac{1}{2} + \frac{1}{9} + \frac{1}{64} + \frac{1}{625} + ... \\ = \frac{226201}{360000} \\ = 0.6283..[/tex]
Russo and Frederica want to find out if the parallelogram formed by connecting points
A, B, C, and D is a rhombus.
Russo's plan:
• Use the distance formula to find the lengths of the sides.
• See if the sides are all the same length.
Frederica's plan:
• Find the slopes of the two diagonals.
• See if the two slopes are negative reciprocals of each other.
Which student's plan will work?
Answer:
both plans are correct
Step-by-step explanation:
I know this because I just did the question
What is the median mode and range of this data set 50 45 75 80 80 62 66 73
Answer:
Range=80/45=35
Median=69.5
Mode=80
Step-by-step explanation:
Range=highest number - smallest number
Mode=the highest occurring number
dos caños A y B llenan juntos una piscina en dos horas, A lo hace por si solo en tres horas menos que b ¿Cuantas horas tarda cada uno separadamente?
Answer:
t² - 7 t + 6 = 0; es una ecuación de segundo grado en t. Sus raíces son: t = 6, t = 1; la segunda solución es físicamente imposible. Uno solo de ellos no puede llenar la piscina en menos tiempo que los dos juntos. Por lo tanto uno de ellos demora 6 horas y el otro 6 - 3 = 3 horas.
Find the volume and surface area of cube having lenght =5cm
Step-by-step explanation:
Volumeof cube = s³
= 5³
=125cm³
Surface area of cube = 6•s²
= 6 x 5²
= 6 x 25
= 150cm²
v=l³
v=5³
v=125cm³#
Step-by-step explanation:
hope you like it
Which of the following is a point-slope equation of a line that passes through the points (-1,4) and (8,-2)
Answer:
y = (2/3)x + 4 2/3
Step-by-step explanation:
For reference, a linear function has an equation of y = mx + b
The first thing we're going to do is use the slope formula, [tex]\frac{y2-y1}{x2-x1}[/tex] or rise over run. In this case that looks like:
(-2-4) - (8 - -1)
-2 -4 comes out to - 6, and the denominator comes out to 9.
6/9 is equal to 2/3, which is our m or slope value.
Next we want to find the b value, or our y-intercept. To do that we'll plug one of the points into the equation with our new-found slope:
4 = (2/3)-1 +b
4 = -2/3 + b
4 2/3 = b
That means our complete equation is:
y = (2/3)x + 4 2/3
OR
y = (2/3)x + 14/3 (equivalent but an improper fraction rather than a mixed fraction).
What is the order of rotational symmetry of this shape .for brainlest
Answer:
4.
Step-by-step explanation:
The orientation of the shape is the same 4 times during 360 degree turn.
Answer:
4
Step-by-step explanation:
Rotational symmetry, also known as radial symmetry in biology, is the property a shape has when it looks the same after some rotation by a partial turn. An object's degree of rotational symmetry is the number of distinct orientations in which it looks exactly the same for each rotation.
I need to solve for X Y and Z please and thank you
9514 1404 393
Answer:
x = 5y = 30z = 8Step-by-step explanation:
The rhombus has several relevant properties.
The sides are all the same lengthDiagonals are perpendicular bisectors of each otherDiagonals divide the rhombus into congruent trianglesThe last of these relations can be used to find x:
7x° = 35°
x = 35°/7° = 5
The second of the relations can be used to find y:
3y° = 90°
y = 90°/3° = 30
The first of the relations can be used to find z:
10z -8 = 5z +32
5z = 40 . . . . . . . . . add 8-5z
z = 40/5 = 8
A researcher gathered data on hours of video games played by school-aged children and young adults. She collected the following data:
16 11 12 10 0 12 8 4 1 0
13 0 2 4 2 6 17 11 10 14
8 3 10 7 1 13 4 7 1 13
5 5 12 2 16 13 9 9
Complete the frequency distribution for the data.
Hours Frequency Relative Frequency
0-2
3-5
6-8
9-11
12-14
15-17
Step-by-step explanation:
The complete frequency distribution table for the data has been attached to this response.
The frequency column contains values that are the number of times the given range of hours appear in the data. For example, numbers in the range 0 - 2 hours, appear 9 times in the data. Also, the numbers in the range 3 - 5 appear 6 times. The same logic applies to other ranges.
The relative frequency column contains the ratio of the number of times the given range of hours appear in the data, to the total number of outcomes. The total number of outcomes is the sum of all the frequencies on the frequency column. This gives 38 as shown.
So, for example, to get the relative for the numbers in the range 0-2, divide their frequency (9) by the total outcome or frequency (38). i.e
9 / 38 = 0.24
Also, to get the relative for the numbers in the range 3-5, divide their frequency (6) by the total outcome or frequency (38). i.e
6 / 38 = 0.16
Do the same for the other ranges.
