Which terms in the following expression are like terms?

x3 + 5x - 3x + 3y + 4 - 1

3x and 3y
x 3, 3x, and 3y
5x and 3x, and 4 and 1
x 3 and 3x, and 4 and 1

Answers

Answer 1

9514 1404 393

Answer:

  (c)  5x and 3x, and 4 and 1

Step-by-step explanation:

Like terms have the same variable(s) to the same power(s).

The terms of this expression are ...

x^3: variable x, power 35x: variable x, power 1-3x: variable x, power 13y: variable y, power 14: no variable-1: no variable

The like terms are {5x, -3x}, which have the x-variable to the first power, and {4, -1}, which have no variable.


Related Questions

find the measures of m and n.

Answers

Answer:

m = 4

n = 5

Step-by-step explanation:

[tex]m + 8 = 3m\\\\m - 3m = - 8\\\\-2m = - 8\\\\m = 4[/tex]

[tex]2n - 1 = 9 \\\\2n = 9 + 1\\\\2n = 10\\\\n = 5[/tex]

What is the expression (x+1)(x2+3x+2) as a polynomial in standard form?

Answers

Step-by-step explanation:

hope u like it.......

Which function has least rate of change?
O y = 4x + 5
O 3x - y = 9
O x + y = 8
0 4x + 2y = 8

Answers

Answer:

O 4x+2y=8.

Hope this helps you

Which statement about y=x^2-14x+45 is true

Answers

It should be A. Just factor 45

Jill has 32 crayons. She loses 4 of the crayons. How many are left?

Answers

Answer:

the answer here is d

the answer is d

Answer:

28

Step-by-step explanation:

Total number of crayons = 32

Number of crayons lost = 4

Therefore, number of crayons she is left with is : 32 - 4 = 28

Working :  

    [tex]32\\04 - \\\overline{28}[/tex]

in a five character password the first two characters must be digits and the last three characters must be letters if no characters are allowed to repeat how many unique passwords are possible

Answers

Answer:

1,404,000 unique passwords are possible.

Step-by-step explanation:

The order in which the letters and the digits are is important(AB is a different password than BA), which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this question:

2 digits from a set of 10(there are 10 possible digits, 0-9).

3 characters from a set of 26. So

[tex]P_{10,2}P_{26,3} = \frac{10!}{8!} \times \frac{26!}{23!} = 10*9*26*25*24 = 1404000[/tex]

1,404,000 unique passwords are possible.

What is the value of x if x/ 3 + 1 = -2 ?​

Answers

Answer:x = -9

Step-by-step explanation:

Step 1: Simplify both sides of the equation.1/3x+1=−2Step 2: Subtract 1 from both sides.1/3x+1−1=−2−11/3x=−3Step 3: Multiply both sides by 3.3*(1/3x)=(3)*(−3)x=−9

write an equation in slope intercept form for the line with slope 1/4 and y-intercept -6.​

Answers

Answer:

y=¼x-6

Step-by-step explanation:

y=mx+c

y=¼x+-6

y=¼x-6

Y=1/4x-6 is the answer to your question.

Help please!!!!! I’m using Plato

Answers

Answer:

[tex]\frac{y^{6} }{ x^{2} }[/tex]

Step-by-step explanation:

[tex]y^{6} x^{-2}[/tex]

Answer and Step-by-step explanation:

When there is a set of values within parenthesis, and an exponents on the values and on the parenthesis, you multiply the outer exponent with the inner exponent.

When a value has a negative exponent, the value that has the negative exponent will become a fraction and go to the denominator of the fraction (or go immediately to the denominator), or if it is already a fraction, goes to the denominator. If the value that has the negative exponent is in the denominator, the value will go to the numerator. In both instances, the negative exponent will then change to positive.

First, we need to simplify the expression inside the parenthesis.

[tex]y^{\frac{3}{2} } x^{-\frac{1}{2} } --> \frac{y^{\frac{3}{2} } }{x^{\frac{1}{2}} }[/tex]

Now we multiply the 4 to the exponents.

[tex]\frac{y^{\frac{3}{2} *\frac{x4}{1} } }{x^{\frac{1}{2}}*\frac{4}{1} } = \frac{y^{\frac{12}{2}} }{x^{\frac{4}{2}}} = \frac{y^6}{x^2}[/tex]

[tex]\frac{y^6}{x^2}[/tex] is the answer.

#teamtrees #PAW (Plant And Water)

Jimmy thought he had purchased 7 folders, but purchased 6. What was his percent error?

Answers

Answer:

Step-by-step explanation:

Percent Error = | Actual Yield-Theoretical/ Theoretical Yield | *100%

Error= |-1/7|*100%= 14.29%

Select the correct answer.
Tom gets $12 off a box of chocolates that had an original price of $48. What percentage is the discount

Answers

Answer:

25

Step-by-step explanation:

divide 48 by 4 which is 25%

The endpoints of a line are (10, 4) and (-2, 8). Find the slope of
the line.

Answers

your answer would be m= -1/3

find the slope of the tangent line [tex]m_{tan}[/tex] = f'(a) and then find the equation of the tangent line to f at x = a

f(x) = [tex]\frac{10}{x}[/tex] ; a = 3

Answers

9514 1404 393

Answer:

 10x +9y = 60

Step-by-step explanation:

The equation for the tangent line at a point is ...

  y -f(a) = f'(a)(x -a)

For the given function,

  f(x) = 10/x

The derivative is ...

  f'(x) = -10/x^2

Then the equation of the tangent line is ...

  y -10/3 = -10/9(x -3) . . . . equation of the tangent line (point-slope form)

Clearing fractions, we have ...

  9y -30 = -10(x -3) = -10x +30

  10x +9y = 60 . . . . . equation in standard form

Which function has a simplified base of 4RootIndex 3 StartRoot 4 EndRoot?



f(x) = 2(RootIndex 3 StartRoot 16 EndRoot) Superscript x

f(x) = 2(RootIndex 3 StartRoot 64 EndRoot) Superscript x

f(x) = 4(RootIndex 3 StartRoot 16 EndRoot) Superscript 2 x

f(x) = 4(RootIndex 3 StartRoot 64 EndRoot) Superscript 2 x



Answer is C f(x) = 4(RootIndex 3 StartRoot 16 EndRoot) Superscript 2 x

Answers

Answer:

c is answer

Step-by-step explanation:

yes

Answer:

C

Step-by-step explanation:

took test

Help please I don’t get may I please have help with this

Answers

Answer:

[tex]1)\:2\frac{2}{3} ft[/tex]

[tex]2)\:4[/tex]

[tex]3)\:\frac{20}{3} ft^{2}[/tex]

[tex]4)\:10\frac{2}{3} ft^{2}[/tex]

------------------------

hope it helps...

have a great day!!

write expanded notion of 752 863?​

Answers

Answer:

7 hundred thousands, 5 ten thousands, 2 thousands, 8 hundreds, 6 tens, 3 ones

Step-by-step explanation:

to write a number in expanded notation all you need to do is write out the number in words.

Robert paid $4.5 for 3 apples. Find the cost per apple.

Answers

Answer:

$1.50

Step-by-step explanation:

so its

4.5 ÷ 3

which

1.5

Please help asap I needs someone to find the addition property added

Answers

A

Step-by-step explanation:

you can notice that at step 2 9 is added on both sides that is the addition property of equality

what is the solution to the system of equations below 2x - y = 10 and y=1/2 x+5​

Answers

Answer:

(10, 10 )

Step-by-step explanation:

Given the 2 equations

2x - y = 10 → (1)

y = [tex]\frac{1}{2}[/tex] x + 5 → (2)

Substitute y = [tex]\frac{1}{2}[/tex] x + 5 into (1)

2x - ([tex]\frac{1}{2}[/tex] x + 5) = 10 ← distribute parenthesis on left side by - 1

2x - [tex]\frac{1}{2}[/tex] x - 5 = 10

[tex]\frac{3}{2}[/tex] x - 5 = 10 ( add 5 to both sides )

[tex]\frac{3}{2}[/tex] x = 15 ( multiply both sides by 2 to clear the fraction )

3x = 30 ( divide both sides by 3 )

x = 10

Substitute x = 10 into (2) and evaluate for y

y = [tex]\frac{1}{2}[/tex] (10) + 5 = 5 + 5 = 10

solution is (10, 10 )

For the same set of observations on a specified dependent variable, two different independent variables were used to develop two separate simple linear regression models. A portion of the results is presented below.
Based on the results given above, we can conclude that:_______.
A. A prediction based on Model 1 is better than a prediction based on Model 2.
B. A prediction based on Model 2 is better than a prediction based on Model 1.
C. There is no difference in the predictive ability between Model 1 and Model 2.
D. There is not sufficient information to determine which of two models is superior for prediction purposes.

Answers

Answer:

A. A prediction based on Model 1 is better than a prediction based on Model 2.

Step-by-step explanation:

Given :

Model 1 :

R² = 0.92

s = 1.65

Model 2 :

R² = 0.85

s = 1.91

The Coefficient of determination of the first model is 0.92 which is greater than the coefficient of determination of the Second model, the coefficient of determination gives the proportion of variation in the dependent variable which is caused by the regression line. Hence, we can say a prediction based on Model 1 is better than a prediction based on Model 2 because a larger proportion of the variation in the dependent variable is predictable from the independent variable.

Imagine that you need to compute e^0.4 but you have no calculator or other aid to enable you to compute it exactly, only paper and pencil. You decide to use a third-degree Taylor polynomial expanded around x =0. Use the fact that e^0.4 < e < 3 and the Error Bound for Taylor Polynomials to find an upper bound for the error in your approximation.

|error| <= _________

Answers

Answer:

0.0032

Step-by-step explanation:

We need to compute [tex]e^{0.4}[/tex] by the help of third-degree Taylor polynomial that is expanded around at x = 0.

Given :

[tex]e^{0.4}[/tex] < e < 3

Therefore, the Taylor's Error Bound formula is given by :

[tex]$|\text{Error}| \leq \frac{M}{(N+1)!} |x-a|^{N+1}$[/tex]   , where [tex]$M=|F^{N+1}(x)|$[/tex]

         [tex]$\leq \frac{3}{(3+1)!} |-0.4|^4$[/tex]

         [tex]$\leq \frac{3}{24} \times (0.4)^4$[/tex]

         [tex]$\leq 0.0032$[/tex]

Therefore, |Error| ≤ 0.0032

Find the interquartile range of the data set represented by this box plot.



25
20
45
35

Answers

Answer:

25

Step-by-step explanation:

im pretty sure i think only ok i think no saying bad things in the comment

Please help, been stuck on this for a while.

Answers

Answer:its blurry

Step-by-step explanation:

cant see it

Answer:

x = 34.6

Step-by-step explanation:

[tex]x\:=\:\frac{\left(20\cdot \:sin\left(60\right)\right)}{sin\left(30\right)}[/tex]

Write the geometric sequence in function notation.
4,2,1,1/2,1/4,...
A) AX) = (2) - (1/4)x - 1
OB) Ax) = (2) - (1/2)x - 1
C) Ax) = (4) · (/4)x - 1
D AX) = (4) · (1/2)x - 1

Answers

Answer:

D

Step-by-step explanation:

Match the graph with the correct equation.

A. Y-1 = -1/4(x+5)
B. Y+1= -1/4(x+5)
C. Y-1= -4(x+5)
D. Y-1 =-1/4 (x-5)

Answers

Answer:

y - 1 =  -1/4(x+5)

Step-by-step explanation:

Explain relationship between ≠2 and the factor x – 2.

Answers

Answer:

It has a difference of x=2 of -4

Step-by-step explanation:

It has a difference of x=2 of -4

What is factor ?A number or algebraic expression that evenly divides another number or expressioni.e., leaves no remainder—is referred to as a factor in mathematics. As an illustration, 3 and 6 are factors of 12 because 12 3 = 4 and 12 6 = 2, respectively. 1, 2, 4, and 12 are the other components that make up 12.

Given ,

           x ≠ 2 ,

           x - 2 =0

So, we put x = -2 because in question x ≠ 2 .

Then,      x - 2 = 0

              -2 -2 = 0

               - 4 =0

Therefore, it has a difference of x= -2 of -4.

Learn more about factor brainly.com/question/19426180

#SPJ2

Which describes the transformation applied in the figure above?
1. Quadrilateral D’E’F’G’ was shifted down 6 units.
2. Quadrilateral DEFG was shifted up 6 units.
3. Quadrilateral D’E’F’G’ was reflected about the x-axis.
4. Quadrilateral DEFG was rotated counterclockwise 180 degrees about the point (-1,4).

Answers

Answer:

2 Quadrilateral DEFG was shifted up 6 units.

Step-by-step explanation:

trust me cuz when there is ' its not the orginal shape

What was the original price of the car? Show all work

Answers

Answer:

I got u, it is litearly 16540/83.8 = $19737.5

Step-by-step explanation:

its very simple sincen 100-16.2=83.8

16.3 m 16.7 m What is the perimeter of the whole garden? LI m busti 2027​

Answers

The perimeter of the whole garden would be 66m.

Hope this helps! :)

Kobe is a basketball player. He is able to make a free throw 70% of the time. What is the probability that Kobe makes his 10th free throw on his 14th shot

Answers

Answer:

0.1636 = 16.36% probability that Kobe makes his 10th free throw on his 14th shot

Step-by-step explanation:

For each free throw, there are only two possible outcomes. Either he makes it, or he misses. The probability of making a free throw is independent of any other free throw, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

He is able to make a free throw 70% of the time.

This means that [tex]p = 0.7[/tex]

What is the probability that Kobe makes his 10th free throw on his 14th shot?

9 of his first 13(P(X = 9) when n = 13), and then the 10th with 0.7 probability.

Thus

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 9) = C_{13,9}.(0.7)^{9}.(0.3)^{3} = 0.2337[/tex]

0.7*0.2337 = 0.1636

0.1636 = 16.36% probability that Kobe makes his 10th free throw on his 14th shot

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