Which expression is equivalent to 17x − 8x + 2 and why?

2 − 9x, because (17x − 8x) + 2 = −9x + 2 = 2 − 9x
2 + 9x, because (17x − 8x) + 2 = 9x + 2 = 2 + 9x
11x, because 17x − 8x + 2 = 9x + 2 = 11x
7x, because 17x − 8x + 2 = 17x − 10x = 7x

Answers

Answer 1

Answer:

2 + 9x, because (17x − 8x) + 2 = 9x + 2 = 2 + 9x

Step-by-step explanation:

17x - 8x + 2 = (17x - 8x) +2         Combine like terms.

                   = 9x + 2

Like terms have same variable of same powers.

Answer 2

Answer:

2 + 9x, because (17x − 8x) + 2 = 9x + 2 = 2 + 9x

Step-by-step explanation:

17x - 8x + 2 = (17x - 8x) +2         

Combine like terms.                  

 = 9x + 2 Like terms have same variable of same powers.

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Related Questions

Tìm các chữ số a, b , c biết a/-5=b/-7=c/2 và a-b+c=-28

Answers

Answer:

a=35,b=49,c=-14

Step-by-step explanation:

[tex]\frac{a}{-5} =\frac{b}{-7} =\frac{c}{2} =r(say)\\a=-5r,b=-7r,c=2r\\a-b+c=-5r+7r+2r=4r=-28\\r=\frac{-28}{4}=-7\\a=-5 \times -7=35\\b=-7 \times -7=49\\c=2 \times -7=-14[/tex]

Amy, a nature photographer, randomly sampled photographs she took within the last year. She wanted to find out how many of her photographs contained flowers. The proportion of photographs that had flowers was 0.61, with a margin of error of 0.04. Construct a confidence interval for the proportion of her photographs taken within the last year contained flowers.

Answers

The Constructed  confidence interval for the proportion of her photographs taken within the last year contained flowers is

[tex]CI\ E(0.57,0.65)[/tex]

From the question we are told that:

The proportion of photographs that had flowers P= 0.61

Margin of error of M.E= 0.04

Generally, the equation for Confidence interval for proportion is mathematically given by

[tex]CI=0.61 \pm 0.04[/tex]P \pm M.E

Therefore Confidence interval is

[tex]CI=0.61 \pm 0.04[/tex]

And can also be written as

[tex]CI\ E((0.61+0.04),0.61-0.04))[/tex]

[tex]CI\ E(0.57,0.65)[/tex]

In conclusion the Confidence interval is

[tex]CI\ E(0.57,0.65)[/tex]

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Solve the equation for x and y​

Answers

Answer:

Step-by-step explanation:

15x + 6y = 0

4x - 6y = -38

19x = -38

x = -2

2(-2) - 3y = -19

-4 - 3y = -19

-3y = -15

y = 5

(-2, 5)

Find he probability of no more than 35 defective CD's in a batch of 80 CD's if the probablility of any one CD being defective is 0.1.

Answers

Answer:

0.999999

Step-by-step explanation:

Given that :

Probability of CD being defective, p = 0.1

q = 1 - p = 1 - 0.1 = 0.9

Total number of CD's = number of trials = 80

Probability, that no more than 35 CD's are defective ;

The question satisfied the requirements for a binomial probability problem ;

Recall :

P(x = x) = nCx * p^x * q^(n-x)

Hence,

P(x ≤ 35) = 80C35 * 0.1^35 * 0.9^(45)

Using calculator to save computation time :

P(x ≤ 35) = 0.999999

P-LS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
The difference between the largest and smallest value in a data set is the _____________.
A. interquartile range
B. range
C. median
D. mode

Answers

Answer:

range

Step-by-step explanation:

The difference between the largest and smallest value in a data set is the range

Answer:

Range

Step-by-step explanation:

I hope this will help you buddy

For the transition matrix P = [0.8 2 0.2 2, 0.3 0.7]​, solve the equation SP = S to find the stationary matrix S and the limiting matrix Upper P overbar.

Answers

Answer:

Stationary matrix S = [ 0.6   0.4 ]

limiting matrix  P = [tex]\left[\begin{array}{ccc}0.6&0.4\\0.6&0.4\\\end{array}\right][/tex]

Step-by-step explanation:

Transition matrix

[tex]p = \left[\begin{array}{ccc}0.8&0.2\\0.3&0.7\\\end{array}\right][/tex]

solving the equation SP = S ( using Markova chain with 2 states )

stationary matrix,  S = [ a , 1 - a ]

given that  SP  = S

[ a , 1 - a ] * [tex]\left[\begin{array}{ccc}0.8&0.2\\0.3&0.7\\\end{array}\right][/tex] =  [ a , 1 - a ]

= a*(0.8) + ( 1 - a ) ( 0.3 ) = a

∴ a = 0.6

hence;  stationary matrix S = [ 0.6   0.4 ]

             limiting matrix  P = [tex]\left[\begin{array}{ccc}0.6&0.4\\0.6&0.4\\\end{array}\right][/tex]

The city park is 9 and 2/5 km from Roland Public School. The city library is 3 and 3/10 km from the same school. How much farther from the school is the park than the library? PLS HELP

Answers

Answer:

6 1/10

Step-by-step explanation:

Convert the mixed numbers into improper fractions (denominator × whole number + numerator / denominator):

9 2/5 = 47/5

3 3/10 = 33/10

Convert improper fractions to have the same denominator:

47/5 × 2/2 = 94/10

Find the difference by subtracting the numerators:

94/10 - 33/10 = 61/10

Convert the answer into a mixed number:

61/10 = 6 1/10

If x=2 and y=1, what is the value of the expression 3(y - 1) + 2x² ? a. 8 b. 10 c. 16 d. 18

Answers

Answer:

8

Step-by-step explanation:

3(y - 1) + 2x²

Let x =2 and y =1

3(1-1)+2 (2)^2

3(0) +2(4)

0+8

I need help can someone help me out

Answers

Answer:

C' (-1,-2)

V' (-2,2)

N' (2,0)

Answered by GAUTHMATH

the width of a rectangle is twice as long as the length. if the length is increased by 50% and the width is decreased by 20%, the perimeter becomes 248. find the width and length of the original rectangle.

Answers

Answer:

Width: 160

Length: 80

Step-by-step explanation:

Width = 2x and length = x

X + 0.5x + 2x - 0.4x = 248

3.1x = 248

X = 248/3.1

X = 80

Width = (2)(80) and length = 80

need help asap today by 5

Answers

Answer:

I put a photo of the answers.

Step-by-step explanation:

For the problems, I turned the whole under into a fraction, flipped the second fraction and multiplied.

For the remaining questions, show your work.
6. Solve each of the following equations.
a. - 5 = -3 + a
b.Зc + 2 = -22

Answers

Step-by-step explanation:

6a.

[tex] - 5 = - 3 + a[/tex]

[tex] - 2 = a[/tex]

6b.

[tex]3c + 2 = - 22[/tex]

[tex]3c = - 24[/tex]

[tex]c = - 8[/tex]

Jay has a jar of beads. 6 purple beard, 8 blue beads, and 4 yellow beads. If he removes one bead at random, what is the probability that it will not be yellow?

Answers

You get a pie chart to do percentages just so you dont cheat you still can do work y'know

An Olympic swimming pool is 25 meters long. How long is the pool in yards?

Answers

27.34 yards is 25 metres

Simplify x + 6.2 + 8.5.

6.2x + 8.5
x + 14.7
14.7x

Answers

Answer:

x + 14.7

Step-by-step explanation:

x + 6.2 + 8.5.

Combine like terms

x + 14.7

10x + 147
________ Or x + 14.7
10

when a certain number is added to 11 and the result is multiplied by 3, the final result is 45 . find the number​

Answers

Answer:

4

Step-by-step explanation:

Let the number = x

Added to 11 = 11+x

Multiply result by 3 = 3(11+x)

Final result = 45

Solving

3(11 + x) =45

33 +3x = 45

3x= 45-33

3x=12

X=4 by dividing both side by 3

7x+2y=19
7x+8y=13
Please solve it by Simultaneous method

Answers

Answer:

y=-1

x=3

Step-by-step explanation:

7x+2y=19-----(1)

7x+8y=13------(2)

(1)-(2)

(7x+2y)-(7x+8y)=19-13

7x+2y-7x-8y=6

+2y-8y=6

-6y=6

y=-1

by substitute in (1)

7x+2*(-1)=19

7x-2=19

7x=19+2

7x=21

x=21/3

x=3

Difference of the square of (x+6)(x+4)

Answers

Answer:

x^2 + 10x + 24

Step-by-step explanation:

(x+6)(x+4)

x^2 + 4x + 6x + 24

x^2 + 10x + 24

SAT/ACT What is the solution of 1,200 – 5(3x + 30) = 600? A 30 B 50 C 150 D 200 E 250​

Answers

The answer you are looking for is letter A, x=30.

Solution/Explanation:

First, write out the equation,

1200-5(3x+30)=600

Next, using the Distributive Property,

1200-15x-150=600

Simplify the left side of the equation just a little bit more,

1050-15x=600

Reverse order of terms on the left side, to make it a little bit easier to solve,

-15x+1050=600

Now, subtract 1050 from both sides,

-15x+1050-1050=600-1050

Now, simplify this part of the equation,

-15x=-450

Finally, divide both sides by -15,

So, therefore, the final answer is x=30.

I hope this helped you. Enjoy your day, and take care!

Which type of transformation is this?

Answers

Reflection across the x-axis

The type of transformation in this situation is refelction on the x-axis.

It cannot possibly be translated or rotated around the origin.

Hope this helps!

Have a wonderful day!

Someone help please With geometry

Answers

Answer:

9

Step-by-step explanation:

RT = ST + RS

RT = x + 5, ST = 4x - 9, RS = x - 2

x + 5 = 4x - 9 + x - 2

Combine like terms

x + 5 = 5x - 11

Add 11 to both sides

x + 16 = 5x

Subtract x from both sides

16 = 4x

Divide both sides by 4

4 = x

Find RT

RT = x + 5

x = 4

RT = 4 + 5

RT = 9

Answer:

RT = 9

Step-by-step explanation:

        R         x - 2                   S        4x - 9             T

        +-------------------------------+--------------------------+

                                         x + 5

RT = RS + ST

x + 5 = x - 2 + 4x - 9

x + 5 = 5x - 11

-4x = -16

x = 4

RT = x + 5

RT = 4 + 5

RT = 9

The area of a square piece of land is 784metersquared .What is the perimeter​

Answers

Answer:

112 m

Step-by-step explanation:

The area (A) of a square is

A = s² ( s is the length of side )

Here A = 784 , then

s² = 784 ( take the square root of both sides )

s = [tex]\sqrt{784}[/tex] = 28

Then

perimeter = 4s = 4 × 28 = 112 m

Answer:

112m

Step-by-step explanation:

the area of the square is 784m^2 so the square root of 784 would give us the length of the sides(since it's a square the length of each sides are equal). √784 would give 28m. 28 m is the length of each sides..so now the perimeter would be the addition of each sides which in case would be 4 times 28 because it's a square. 4 times 28 gives 112m.

What would it be tho 300 doesn’t show up in my options my options are
1/49 -1/49 -49 and 49

Answers

1/49 would be the answer

The fan below has been stretched open as far as it will go to form a semi-circle.
Each of the eighteen sectors formed by the fan consists of the same amount of fabric. The length of
each wooden rod that connects the center of the fan to its edge is 12 cm. The wooden rods are
glued to the fabric forming the fan. Determine the approximate area of each sector.

Answers

Answer:

Area of each sector=[tex]12.6cm^2[/tex]

Step-by-step explanation:

We are given that

Length of each wooden od that connects the center of the fan to its edge ,r=12 cm

Total number of sectors=18

We have to find the approximate area of each sector.

Area of semi-circle=[tex]\frac{1}{2}\pi r^2[/tex]

Using the formula

Area of fan=[tex]\frac{1}{2}\pi (12)^2=72 \pi cm^2[/tex]

Area of each sector=[tex]\frac{area\;of\;fan}{Total\;number\;of\;sectors}[/tex]

Area of each sector=[tex]\frac{72\pi}{18}=\frac{72\times 3.14}{18} cm^2[/tex]

Where [tex]\pi=3.14[/tex]

Area of each sector=[tex]12.56cm^2\approx 12.6 cm^2[/tex]

WILL GIVE BRAINLIEST AND 30 POINTS!
Admission to a baseball game is $5.00 for general admission and $7.00 for reserved seats. The receipts were $6192.00 for 1136 paid admissions. How many of each ticket were sold? (Round to nearest integer if necessary.)
_ general admissions tickets sold
_ reserved seating tickets sold

Answers

Answer:

General admissions sold: 880

Reserved seating sold: 256

Step-by-step explanation:

Set up equation:

Variable x = people who bought general admission

Variable y = people who bought reserved seating

x + y = 1136

5x + 7y = 6192

Isolate a variable in any equation:

Y = 1136 - x

Substitute the value of the variable in the other equation:

5x + 7(1136 - x) = 6192

5x + 7952 - 7x = 6192

-2x + 7952 = 6192

-2x = -1760

x = 880

Substitute the value of x in any equation:

880 + y = 1136

y = 256

Check your work:

880 + 256 = 1136

1136 = 1136

Correct!

5(880) + 7(256) = 6192

4400 + 1792 = 6192

6192 = 6192

Correct!

4 glue sticks cost $7.76.
Which equation would help determine the cost of 13 glue sticks?

Answers

Answer:

price = 7.76/4 * 13

Step-by-step explanation:

Divide $7.76 by 4 to find the price of one glue stick.

Then multiply that by 13.

price = 7.76/4 * 13

Use the figure to find the radius.

Answers

The answer is 4 (four)

comeplete using distributive property (x+2x+3x)(x+4)​

Answers

Answer:

6x^2 + 24x

Step-by-step explanation:

Evaluate 4(3 - 1)^2..

Answers

Answer:

16

Step-by-step explanation:

4(3 - 1)^2

~Simplify using PEMDAS

4(2)^2

4(4)

16

Best of Luck!

What is the sum of the geometric series below?

3+1+1/3+1/9+1/27

Answers

Answer:

The correct answer for your geometric series is 4 13/27 (mixed form) or 121/27.

Step-by-step explanation:

Answer:

Step-by-step explanation:

r =term 1 ÷ term 2 = 1 ÷ 3 = 1/3

a =term 1 = 3

n = 5

[tex]Sum = \frac{a(1-r^{n})}{1-r}[/tex]

        [tex]= \frac{3*(1-(\frac{1}{3})^{5}}{1-\frac{1}{3}}\\\\=\frac{3*(1-\frac{1}{243})}{\frac{2}{3}}\\\\=\frac{3*\frac{242}{243}}{\frac{2}{3}}\\\\=3*\frac{242}{243}*\frac{3}{2}\\\\=\frac{121}{27}\\\\=4 \frac{13}{27}[/tex]

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