Expand and simplify
2(4x + 3) + 4(3x - 1)

Answers

Answer 1

[tex]2(4x + 3) + 4(3x - 1)[/tex]

[tex] = (8x + 6) + (12x - 4)[/tex]

[tex] = 8x + 6 + 12x - 4[/tex]

[tex] = (8x + 12x) + (6 - 4)[/tex]

[tex] = 20x + 2[/tex]

Answer 2

Answer:

8x+6+12x-4= 0

20x+2= 0

20x=-2

20x/20= -2/20

x= -1/10


Related Questions

please fast tell me​

Answers

Answer:

1). Option (b)

2). Option (d)

3). Option (d)

Step-by-step explanation:

Question (1)

For Pythagoras triplet,

(Largest number)² = (Number 1)² + (Number 2)²

a). 5² = 5² + 2²

   25 = 25 + 4

   25 = 29

  Not True.

b). 5² = 3² + 4²

   25 = 9 + 16

   25 = 25

   True.

c). 10² = 1² + 5²

   100 = 1 + 25

   100 = 26

   Not true.

d). 2² = 2²+ 2²

   4 = 4 + 4

   4 = 8

   Not true.

Therefore, Option (b) is correct.

Question (2)

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

      = [tex]\frac{5-1}{5}[/tex]

      = [tex]\frac{4}{5}[/tex]

Therefore, Option (d) is the answer.

Question (3)

Property of triangle → Sum of lengths of two sides of a triangle should be greater than the measure of third side.

a). 6 + 3 > 2 ⇒ 9 > 2 [True]

    6 + 2 > 3 ⇒ 8 > 3 [True]

    2 + 3 > 6 ⇒ 5 > 6 [False]

    Triangle is not possible.

b). 2 + 8 > 3 → 10 > 3 [True]

    8 + 3 > 2 → 11 > 2 [True]

    2 + 3 > 8 → 5 > 8 [False]

   Triangle is not possible.

c). 5.5 + 2.5 > 2.5 → 8 > 2.5 [True]

   5.5 + 2.5 > 2.5 → 8 > 2.5 [True]

   2.5 + 2.5 > 5.5 → 5 > 5.5 [False]

   Triangle is not possible.

d). 3 + 6 > 7 → 9 > 7 [True]

    3 + 7 > 6 → 10 > 6 [True]

    7 + 6 > 3 → 13 > 3 [True]

   These are the sides of a triangle.

Therefore, Option D is the answer.

Lourdes recorded in this table the change in her dog's weight, in ounces, each month. Which statement can be suppor by the data in the table? Change in Dog's Weight January February March April May +6 +4 -2 +1 -5

A) Lourdes dog gained weight in more months than it lost weight because there are more positive numbers than ne numbers.

B) Lourdes' dog lost weight in more months that it gained weight because the digit 5 is the greatest digit and it is a ne number.

C) Lourdes dog gained weight every month because it is getting older.

D) Lourdes dog lost weight every month because the change in May is a negative number.​

Answers

Answer:

A). Lourdes dog gained weight in more months than it lost weight because there are more positive numbers then negative numbers

What is the distance between (–2 and one-half, –3) and (1, –3)?
–3 and one-half units
–1 and one-half units
1 and one-half units
3 and one-half units

Answers

Answer:

3 and 1/2 units

Answer:

3 and 1/2 units

Step-by-step explanation:

hope this helps you lol

E

Draw lines to match each fraction,
decimal, or percent on the right to an
equivalent number on the left.

Answers

Answer:

0.45 = 9/20

38% = 19/50

27/50 = 0.54

0.68 = 17/25

80% = 4/5

Step-by-step explanation:

As a computer technician, Andre makes $20 per hour to diagnose a problem and $25 per hour to fix a problem. He works fewer than 10 hours per week, but wants to make at least $200 per week. The inequalities 20x + 25y ≥ 200 and
x + y < 10 represent the situation. Which is true of the graph of the solution set? Check all that apply.

Answers

Answer:the line x+y<10 has a negative slope and a positive y intercept

The line representing 20x+25y>200 is solid and the graph is shaded above line

The overlapping region contains the point (4,5)

Step-by-step explanation:

;)

Answer:

The answers are B, C, and E.

Step-by-step explanation:

I got it right on edge

wooba wooba wooba wooba wooba wooba wooba wooba wooba wooba wooba wooba

Answers

Answer:

wooowooowowowowowowowowow

Step-by-step explanation:

Answer:

epic ninja

Step-by-step explanation:

ninja

PLZ HELP WILL GIVE BRAINLIEST

Answers

the answer is c

Step-by-step explanation:

it is because you have to times 3 and 4 and 3 and 9

Answer:

The answer is 27/ 12x - 9 = 28

Step-by-step explanation:

All you have to do is multiply 3 X 4x and gives you 12x and multiply 3 X 9 and gives you 27.

3 ( 4x - 9 ) = 28 = 12x - 27 = 28

Hope this helped.

♡(ŐωŐ人)

In the news you hear tuition was expected to increase from $1200 to $2350 over the next 10 years. This represents a ___% increase from current tuition. Round answers to two decimal places.

Answers

Answer:

93.83%

Step-by-step explanation:

2350 - 1200 = 1150

1150/1200 * 100 = 95.83%

A person invests 4000 dollars in a bank. The bank pays 6.25% interest compounded
annually. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 9600 dollars?

Answers

Answer:

14.4

Step-by-step explanation:

Given that :

Principal = 4000

Interest (r) = 6.25% compounded annually

Calculate time, t, if final amount A = 9600

Using the compound interest formula :

A = P(1 + r/n)^n*t

A = final amount

n = number of times interest is applied per period

9600 = 4000(1 + 0.0625)^t

9600 = 4000(1.0625)^t

9600/4000 = 1.0625^t

2.4 = 1.0625^t

Take the log of both sides

0.3802112 = 0.0263289t

t = 0.3802112/0.0263289

t = 14.440811

t = 14.4 ( nearest tenth)

Anna wrote a pattern starting at 0 and following the rule "add 2." Niko wrote a pattern starting at 0 and following the rule "add 4." Which shows the two patterns?
0, 2, 4, 6, 8,... Niko: 0, 4, 8, 12, 16,...
0, 2, 4, 6, 8,... Niko: 4, 8, 12, 16, 20,...
0, 2, 4, 6, 8,... Niko: 0, 4, 6, 8, 10,...
2, 4, 6, 8, 10,... Niko: 4, 8, 12, 16, 20,...

Answers

Answer:

The first one is the right answer

Step-by-step explanation:

Hope this helps have a good day

Answer:

the first one is right

Step-by-step explanation:

What is MR? Explain.

Answers

Answer:

MR is 20 because if the side lengths that are shown are congruent, then the bottoms are too. so each part of the bottom that has a number, that number repeats on the part that's part of that triangle. so the bottom lengths go           " 4 6 6 4" and you add those together and get 20

carly mowed 2 more lawns than Roco each week for 6 weeks. carly mowed a total of 18 lawns. how many did Rocco mow each week?

Answers

Answer:

Rocco mowed 1 lawn a week.

Step-by-step explanation:

If Carly mowed 18 lawns in six weeks that’s 3 lawns a week and 3-2=1.

Thus Rocco mowed 1 lawn a week.

Daniel plays two games in the casino. The first game he believes he has 60% chance to win. If he wins the first game, he will win the second game with 25% chance, if he loses the first game, he will win the second game with 75% chance. The winning prices for the first and second game are $1 and $2 respectively
A. What is the probability that he wins the second game?
B. If he wins the second game, what is the probability that he also won the first game?
C. What is the expected value for the price he wins from the two games? What is the variance of it?

Answers

Answer:

1) the probability that he wins the second game is 0.45

2) the probability he wins the first game given that he won the second game is 0.333  

3) Expected Value is $ 1.5 and the variance is 0.75

Step-by-step explanation:

Given the data in the question;

Let Win1 represent first game victory

and Loss1 represent first game loss

Let Win2 denote second game victory

and Loss2 denote second game loss

now from the Tree diagram of Daniel;

P ( Win1 ) = 0.6

P ( Loss1 ) = 0.4

P ( Win2 | Win1 ) = 0.25

P ( Loss2 | Win1 ) = 0.75

P ( Win2 | Loss1 ) = 0.75

P ( Loss2 | Loss1 ) = 0.25

1) probability that he wins the second game will be;

P ( Win2 )  =  [P ( Win1 ) × P ( Win2 | Win1 )] + [P ( Loss1 ) × P ( Win2 | Loss1 ) ]

we substitute

= [0.6 × 0.25] + [0.4 * 0.75] = 0.45

Therefore the probability that he wins the second game is 0.45

2)

If he wins the second game, what is the probability that he also won the first game  will be;

{From Bayes' Theorem}

P ( Win1 | Win2 )  =  P ( Win1 ) × P ( Win2 | Win1 ) / P ( Win2 )

= 0.6 × 0.25 / 0.45 = 0.333  

Therefore the probability he wins the first game given that he won the second game is 0.333  

c)

winnings       probability

$0                  0.4 × 0.25 = 0.1

$1                   0.6 × 0.75 = 0.45

$2                  0.4 × 0.75 = 0.3

$3                  0.6 × 0.25 = 0.15

so Expected Value = ∑( winnings × individual win probability)

=  (0 × 0.1) + (1 × 0.45) + (2 × 0.3) + (3 × 0.15)

= 0 + 0.45 + 0.6 + 0.45

= $ 1.5

Variance = ∑( X² ) - (∑(X))²

∑( X² ) = Summation of ( Winnings² × Probability of Each Win )

so

Variance = 0 × 0 × 0.1 + 1 × 1 × 0.45 + 2 × 2 × 0.3 + 3 × 3 × 0.15 - ( 1.5 )²

Variance = 0 + 0.45 + 1.2 + 1.35 - 2.25

Variance = 3 - 2.25

Variance = 0.75

Therefore Expected Value is $ 1.5 and the variance is 0.75

A teacher had 39 students in her classes. If each student completed 73 problems which expression shows about how many problems she'd have to grade?

Answers

39 x 73 - use a calculator or something if you need the answer for it.

Your friend's parents each have a job. Her mother's average weekly salary is $740 with a standard deviation of $43. Her father's average weekly salary is $535, with a standard deviation of $25. Find the average weekly salary of her parents combined, and the standard deviation of their combined salaries. You can assume that the amount of money her mother makes has no effect on her father's salary, and vice versa.

Answers

Answer:

M= 740 [tex] \alpha = 43[/tex]D= 535[tex] \alpha = 25[/tex]You have two samples and two standard deviations We need the average of the take home pay and their combined standard deviation.So combined both regressions to get the total combined.

The average weekly salary of friends' parents is 1275$ and the standard deviation is 49.739.

What is the standard deviation?

The standard deviation measures the degree of dispersion of a collection of data. Each data point is compared to the average of all the data points, and the standard deviation gives a determined number that indicates whether the data points are clustered together or dispersed. The standard deviation of a normal distribution indicates how far values deviate from the mean.

Given that, Both of my friend's parents are employed. Her mother makes $740 on average per week, with a standard variation of $43. Her father makes $535 on average each week, with a standard variation of $25.

Let X denotes the weekly salary of her mother.

X ~ Normal(740,432)

Let Y denotes the weekly salary of her father.

Y ~ Normal(535,252)

and X and Y are independent.

the average weekly salary of your parents combined = E(X+Y)

= E(X) + E(Y) = 740 + 535 =  1275

the variance of weekly salary of your parents combined = Var(X+Y) = Var(X) + Var(Y) = 432 + 252 = 2474

the standard deviation of the combined salaries = [tex]\sqrt{2474}[/tex] = 49.739

Therefore, Parents of friends make 1275 dollars on average per week, with a standard deviation of 49.739.

Learn more about standard deviation here:

https://brainly.com/question/23907081

#SPJ5

Melissa has started training for a race. The first time she trains, she bikes 5 miles. Each subsequent time
she trains, she bikes 0.5 mile farther than she did the previous time.
a) Use summation notation to write an arithmetic series to represent the total distance Melissa has biked
after she has trained n times. (2 points)
b) Use the formula for a partial sum of the series you wrote in part a, above, to answer this question: What
is the least number of times Melissa must bike for her total distance biked during training to exceed 60
miles? (3 points)

Answers

It’s 59000000000099999999 miles

Answer:

55

Step-by-step explanation:

What is the range of h

Answers

“B” is the answer I think

Solve the equation. 4(x + 5) - 4 = 4

Answers

Answer: How to solve your question

Your question is

4

(

+

5

)

4

=

4

4(x+5)-4=4

4(x+5)−4=4

Solve

1

Distribute

4

(

+

5

)

4

=

4

{\color{#c92786}{4(x+5)}}-4=4

4(x+5)−4=4

4

+

2

0

4

=

4

{\color{#c92786}{4x+20}}-4=4

4x+20−4=4

2

Subtract the numbers

3

Subtract  

1

6

16

16

from both sides of the equation

 

4. Simplify

5. Divide both sides of the equation by the same term  

 

6. Simplify

Solution  

=

3

Step-by-step explanation: I got this from a website but i hope this helps!!!!

4(x+5)-4=4
4x+20-4=4
4x+16=4
4x=4-16
4x=-12
X=-3

What is the answer I need it ASAP

Answers

Answer:

the 1st one!

Step-by-step explanation:

PLEASE HELP I WILL MARK YOU BRAINLIST PLEASE THANK YOU

Answers

Answer:

it is c

Step-by-step explanation:

the lines are parallel to each other

If there are 13 pretzels in each cup, How many pretzels does He eat?

Answers

How many cups are there? You are missing information.

Answer:

Step-by-step explanation:

Which substitution method should be the best used to solve which system of equations

Answers

Answer: 6x+2y=1

Step-by-step explanation:

because it just is

How much cinemeters is 5 inches

Answers

Answer:

5 inches is equal to 12.7 centimeters.

Step-by-step explanation:

There is 2.54 centimeters in an inch so just multiply that by 5 and you get 12.7.

Answer:

12.70 cm hope it is right

Step-by-step explanation:

An auto-parts store offers a fuel additive that claims to increase a vehicle’s gas mileage. The additive is poured into a vehicle’s gasoline tank after the tank is filled. To measure the claim, 30 taxi drivers receive a bottle of the additive to use the next time they fill their gas tank. The drivers then compare their gas mileage with the additive to their gas mileage before the additive was used.

What is the response variable in this scenario?

the age of the car
the 30 cars used in the study
the use of the additive
the gas mileage after the additive is used

Answers

Answer:

The answer is D. the gas mileage after the additive is used

Step-by-step explanation:

I got 100% on edg!

Answer:

d

Step-by-step explanation:

edge2o2o

$1,580 at 10% for 8 years

Answers

The answer is 1738
Hope this helps you

Solve the proportion. 8/11 = 4/y + 2

Answers

Answer:

The answer is Y = - (22)/(7 )

Step-by-step explanation:

The parenthesis do not mean anything write 22/7 as a fraction.. why did you report my answer so rude

write the following in the form Ax^2+Bx+C=y

Answers

Answer:

13). y = x² + 6x + 8

14). y = 2x² + 8x - 12  

Step-by-step explanation:

13). Vertex form of a parabola is given by,

     y = a(x - h)² + k

     Here (h, k) is the vertex of the parabola.

     Equation of a parabola with vertex (-3, -1) will be,

     y = a(x + 3)² - 1

     Since, y-intercept of the parabola is y = 8

     In other words, parabola is passing through (0, 8)

     8 = a(0 + 3)² - 1

     8 = 9a - 1

     9a = 9

     a = 1

    Therefore, equation of the parabola will be,

    y = (x + 3)² - 1

    y = x² + 6x + 9 - 1

    y = x² + 6x + 8

14). Equation of a parabola with vertex (-2, -20)

     y = a(x + 2)² - 20

     Since, y-intercept of the parabola is (0, -12),

    -12 = a(0 + 2)² - 20

    -12 + 20 = 4a

     4a = 8

     a = 2

    Therefore, equation of the parabola will be,

     y = 2(x + 2)² - 20

     y = 2(x² + 4x + 4) - 20

     y = 2x² + 8x + 8 - 20

     y = 2x² + 8x - 12  

needs to be done quickly pls.

Answers

Answer:

50 Degrees

Step-by-step explanation:

30 because all triangles equal 180

grab the image of the rectangle DEFG reflection across the line x= 3​

Answers

Answers:

D ' at (9, -9)E ' at (5, -9)F ' at (5, -2)G ' at (9, -2)

Refer to the diagram below

========================================

Explanation:

For points D,E,F,G we will follow these steps

Shift everything 3 units to the left so that the vertical line x = 3 will move on top of the y axis (which is the vertical line x = 0).Reflect across the y axis using the rule [tex](x,y) \to (-x,y)[/tex]. Here we have the x coordinate flip in sign from positive to negative, or vice versa. The y coordinate stays the same.Shift everything 3 units to the right so we effectively undo the first step. This places the points in the proper final position.

Let's go through an example:

Point D is located at (-3, -9). Apply the three steps mentioned above.

Shift point D three units to the left to arrive at (-6, -9)Reflect over the y axis to go from (-6, -9) to (6, -9)Lastly, shift 3 units to the right to move to (9, -9) which is the location of D'

In short, D(-3,-9) reflects over the line x = 3 to land on D ' (9, -9)

The other points E, F, G will follow the same steps to get the answers you see at the top.

The diagram below visually summarizes everything.

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

Side notes:

The distance from D to the line of reflection is the same as the distance from D' to the line of reflection. Put another way, the line of reflection bisects segment DD'. Points E,F,G follow the same property.Going from D to E to F to G has us go counterclockwise. Going from D' to E' to F' to G' has us go clockwise. Any reflection transformation will flip the orientation.

What is an equation in point-slope form the line that passes through the point (-3,5) and (2,-3)?

Answer
Y-5=-8/5 (x+3)

Answers

Answer:

Y-5=-8/5 (x+3)

Step-by-step explanation:

Answer:

Y-5=-8/5 (x+3) good luck

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