What are the reasons?

Given: 3x + 1 = -14; Prove: x = -5
Statements

Answers

Answer 1

Answer:

x=-5

Step-by-step explanation:

Statement          Reason

3x+1 =-14              Given

3x=-15                   Subtraction Property of Equality

x=-5                       Division Property of Equality


Related Questions

Divide. 5892 ÷ 18 in fraction form.

Answers

Answer: mixed number 327 1/3

Step-by-step explanation:

5892/ 1÷18/ 1=327 1/3

put each number over one to turn it into a fraction.

The answer in fraction form is 982/3 or 327 (1 / 3).

Given,

5892 ÷ 18

We need to divide it in fraction form.

How do we divide a fraction?

Suppose we have two fractions:

a/b and c/d

Divide a/b by c/d

Now,

a/b ÷ c/d

a/b x d/c

Divide 5892 ÷ 18 in fraction form.

Write 5892 and 18  in fraction form:

- 5892/1

- 18/1

Now,

= 5892 / 1 ÷ 18/1

= (5892/1) / (18/1)

= (5892/1) x (1/18)

= (5892 x 1)  / (1 x 18)

= 5892 / 18

Write it in 6 multiples

= (6 x 982) / (6 x 3)

6 gets cancelled

= 982 / 3

We can write it in mix fraction.

= 327 (1 / 3)

Since,

3 x 327 = 981

981 + 1 = 982

Thus the answer in fraction form is 982/3 or 327 (1 / 3).

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Solve
solution
5w + 3 <4w + 9 graph the
set on
number
Line

Answers

Answer:

hope it helps

ppz mark as brainliest

The daily high temperatures, in degrees Celsius, for two weeks were recorded. The first week had a mean high temperature of 8 degrees Celsius and a mean absolute deviation (MAD) of 1 degree Celsius. Here is a list of the high temperatures, in degrees Celsius, for the second week. A. What is the mean temperature for the second week? B. What is the mean absolute deviation for the second week? C. Which week had greater variability in high temperature? Explain your reasoning. (When necessary, round all answers to the nearest hundredths place. Type all answers below.

Answers

Answer:

(A) The mean temperature for the second week is 4.86 degrees Celsius.

(B) The mean absolute deviation for the second week is 4.86 degrees Celsius.

(C) The second week had greater variability in high temperature.

Step-by-step explanation:

We are given that the daily high temperatures, in degrees Celsius, for two weeks were recorded. The first week had a mean high temperature of 8 degrees Celsius and a mean absolute deviation (MAD) of 1 degree Celsius.

Here is a list of the high temperatures, in degrees Celsius, for the second week;

5, 9, 7, 0, 3, 5, 5

(A) The mean temperature for the second week is given by;

                  Mean = [tex]\frac{\text{Sum of all data values}}{\text{Total number of values}}[/tex]

                             = [tex]\frac{5+9+7+0+3+5+5}{7}[/tex]

                             = [tex]\frac{34}{7}[/tex] = 4.86 degrees Celsius

(B) Mean absolute deviation for the second week is calculated as;

Firstly, subtracting mean from each data value;

| 5 - 4.86 | = 0.14

| 9 - 4.86 | = 4.14

| 7 - 4.86 | = 2.14

| 0 - 4.86 | = 4.86

| 3 - 4.86 | = 1.86

| 5 - 4.86 | = 0.14

| 5 - 4.86 | = 0.14

Now, we will find the mean of these deviations;

Mean absolute deviation = [tex]\frac{0.14+4.14 + 2.14+4.86+1.86+0.14+0.14}{7}[/tex]

                                          = [tex]\frac{13.42}{7}[/tex] = 1.92 degrees Celsius

(C) The second week had greater variability in high temperature because it's mean absolute deviation is greater than that of first week. And also the mean absolute deviation tells us that on average how far the data values are from the mean.


[tex]x { }^{2} < x + 2[/tex]
interval notation​

Answers

This is the correct answer I believe

evaluate 207.3×0.04​

Answers

Let's first just do the multiplication and ignore the decimal points.

2073 x 4 = 8292.

Now there are 3 decimal points we need to consider. So, that gives us an answer of 8.292

:)

The answer is 8.292 I hope this is helpful

HELP!! -5/8 - (-4/3) = x What is x?

Answers

Answer:

x = [tex]\frac{17}{24}[/tex]

Step-by-step explanation:

Given

- [tex]\frac{5}{8}[/tex] - (- [tex]\frac{4}{3}[/tex] ) = x

Note that - (- [tex]\frac{4}{3}[/tex] ) = + [tex]\frac{4}{3}[/tex] , thus

- [tex]\frac{5}{8}[/tex] + [tex]\frac{4}{3}[/tex] = x

Multiply through by 24 ( the lcm of 8 and 3 ) to clear the fractions

- 15 + 32 = 24x

17 = 24x ( divide both sides by 24 )

[tex]\frac{17}{24}[/tex] = x

Frankie bought a $200 pass to a local
carwash. As a promotion, his first 3 visits
are free and a discounted price of $8.00 per
visit for his succeeding visits. How many
washes will Frankie get in all for his $200?

Answers

Answer:

28 visits

Step-by-step explanation:

3 (free visits)+ 25=28

i got 25 from 25x8=200

200 is the price needed to be reached

Translate and solve into an algebraic expression.
The product of b and -25 is 175

Answers

Answer:

- 25b = 175

Step-by-step explanation:

Since, The product of b and -25 is 175.

[tex] \therefore \: b \times ( - 25) = 175 \\ \huge \purple{\therefore \: - 25b = 175}[/tex]

Answer:

-25b = 175  

b=-7

I hope this the correct answer

Step-by-step explanation:

The expression would -25b=175

divide -25 on both sides 175/-25 = -7

Pls help I’m stuck on it

Answers

Answer:

Step-by-step explanation:

its a

Answer:

I believe it C

can someone please solve this

Answers

Answer:

See below

Step-by-step explanation:

a) x² + 3x = x(x+3)b) 2x² - 8x = 2x(x -4)c) 6x + 9x³ = 3x(2 + 3x²)d) 12x³ - 4x² = 4x²(3x - 1)

What is the value of the expression when s = 2 and t = -1.5?
–35 – $3] + 3t
o
-4.5
4.5
-13.5
13.5

Help please??!

Answers

Answer:

-13.5

Step-by-step explanation:

trust me

Find the distance between the two points. (round to the nearest hundredths)

Distance:

Answers

Answer:

ndndjxixzosnxbxbxjxjxkkdns dnxnxjx

Answer:

To find the distance between an two points, you can use the distance formula: sq. root of (x2 - x1)^2 + (y2 - y1)^2

Using the points on the graph; (-2,2) and (-4,-3)

sq. root of (-4 + 2)^2 + (-3 - 2)^2 =

sq. root of (2)^2 + (-5)^2 =

sq. root of 4 + 25 =

sq. root of 29 = 5.38516480713, rounded to the nearest hundred- 5.39

of the function.
16. y = 3x + 4
Domain:0, 5, 7, 10
find the range

Answers

Answer:

all is pictured and shown

BOYS AND GIRLS there were 6 girls and 18 boys in Mrs.Johnsons math class. write the number of girls as a fraction of total class. then write the fraction as a decimal.​

Answers

It should be 6/24 because there’s a total of 24 students and then the decimal should be 0.25

Solve the two-step equation.Analyze the solution shown.

1. –|–x| = 7: given

2. |–x| = –7: multiplication property of equality

3. –x = 7 or –x = –7: definition of absolute value

4. x = –7 or x = 7: multiplication property of equality

5. Check: –|–(–7)| = 7, –7 ≠ 7

–|–7| = 7, 7 = 7

Negative times negative is positive.

Determine the flaws in the solution.

The multiplication property of equality in Step 2 should result in |x| = 7.
The definition of absolute value is applied incorrectly. There is no solution.
The reason in Step 4 should be the addition property of equality.
The multiplication property of equality in Step 4 should result in only x = 7.
In evaluating the solutions, the absolute value should be simplified first to get a positive value.

Answers

Answer:n evaluating the solutions, the absolute value should be simplified first to get a positive value.

The definition of absolute value is applied incorrectly. There is no solution.

Step-by-step explanation:

Answer:

B&E

Step-by-step explanation:

Steve wants to create a system of equations so that the system has no solution. Which of these can Steve do? Check all that apply.


A.Create a pair of equations same slope and different y-intercepts.
B. Create a pair of lines in which one line lies directly on top of the other.
C. Create a pair of equivalent equations.
D. Create a pair of lines that will always stay the same distance apart.
E. Create a pair of lines that intersect at only one point.

Answers

Answer:a and d

Step-by-step explanation:

i took the quiz

Steve can do are; A.Create a pair of equations same slope and different y-intercepts. D. Create a pair of lines that will always stay the same distance apart.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We have given that Steve wants to create a system of equations so that the system has no solution.

We know that when both the lines(represented by both the equations) are parallel and not coincident, then that system of linear equations have no solutions as there is no common point on both line.

So the correct option that steve can do are;

A.Create a pair of equations same slope and different y-intercepts.

D. Create a pair of lines that will always stay the same distance apart.

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5^7/5^5 hurrrrrrrrryyyyyyyyyyyyy

Answers

Answer:

25

Step-by-step explanation:

What is the slope of the following equation? 5x - 2y = 13

Answers

Answer:

[tex] \frac{5}{2} [/tex]

Step-by-step explanation:

[tex]5x - 2y = 13 \\ 5x - 13 = 2y \\ 2y = 5x - 13 \\ y = \frac{5}{2} x - \frac{13}{2} \\ equating \: it \: with \\ y = mx + b \\ slope(m) = \frac{5}{2} [/tex]

Bob and Carl each rented the same kind of moving truck from EZ Move. There was a flat rental fee plus a charge per mile that the truck was driven. Bob's cost for his truck was $112.96 for 138 miles. Carl's cost for his truck was $142.78 for 209 miles. Which equation can be used to represent the cost of the rental truck? Round to the nearest hundredth if necessary. y = 71 x minus 29.82 y = 25 x minus 66 y = 0.42 x + 71 y = 0.42 x + 55

Answers

Answer:

D. y = 0.42x + 55

Step-by-step explanation:

Let the equation for the cost of the truck be represented by y = mx + b,

where y = cost of truck per mile, x = number of miles, m = charge of the truck per mile and b = rental fee.

We are given that,

Cost for Bob's truck ( y ) = $112.96 for x = 138 miles, and

Cost for Carl's truck ( y ) = $142.78 for x = 209 miles.

This gives us the equations,

142.78 = 209m + b

112.96 = 138m + b

Subtracting these equations, we get,

29.82 = 71m

i.e. m = 0.42

Substituting the value of ' m ' in first equation, we get,

142.78 = 209 × 0.42 + b

i.e. 142.78 = 87.78 + b

i.e. b = 55.

Hence, the equation for the cost of the truck is y = 0.42x + 55

Answer:

d.y = 0.42 x + 55

Step-by-step explanation:

ASAP HELPPP !!!!Which of the following statements best describes a linear pair? A linear pair consists of complementary angles. A linear pair consists of supplementary angles. A linear pair consists of nonadjacent angles. A linear pair consists of vertical angles.

Answers

Answer:

A linear pair consists of supplementary angles

Step-by-step explanation:

Because a linear pair is 2 lines that form an 180 degree angle.

The statement that best describes a linear pair is that  A linear pair consists of supplementary angles. The correct option is B.

What is Supplementary Angle?

When the sum of two angles measures up to 180° then these angles are known as supplementary angles of each other.

for example, ∠x + ∠y = 180°, therefore, the ∠x and ∠y are the supplementary angles of each other.

If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two angles are two pairs of linear angles. That means, that if linear angles are aligned adjacent to each other, their exterior sides will make a straight line.

Further, since the angle at any side of a line is 180°. Therefore, the sum of these two angles will be equal to 180°.

Hence, the statement that best describes a linear pair is that  A linear pair consists of supplementary angles.

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Karis receives $90000 per year working as a manager. She spends 15% every 3 month on her daughters college tuition. Write a function rule for the amount of money that Karis still has as a function of time in month

Answers

Answer:

[tex]f(m) = 90000 - 0.05m[/tex]

Step-by-step explanation:

Given

[tex]Base\ Amount = \$90000[/tex]

[tex]Spending = 15\%[/tex] -- every 3 months

Required

Determine the function that shows her monthly balance:

Represent month with m

If she spends 15% every 3 months;

Then

She spends 5% every month

i.e.

[tex]monthly = \frac{15\%}{3}[/tex]

[tex]monthly = 5\%[/tex]

If [tex]1\ month = 5\%[/tex]

Then

[tex]m\ months = 5\% * m[/tex]

Monthly balance (f(m) is then calculated as:

[tex]f(m) = Base\ Amount - Monthly\ Spending[/tex]

[tex]f(m) = 90000 - 5\% * m[/tex]

[tex]f(m) = 90000 - 0.05 * m[/tex]

[tex]f(m) = 90000 - 0.05m[/tex]

4y-8-2y=4
2x+7=x-1
-3x+7=x-1
2x-1-1=x-3-(-5+x)
10=x+6+2x
3+3x-(x-2)=3x+4
-4+3x-1=2x+1+2x
-(x+3) = 2x-6
no need for an explanation just please answer then I need help for every single one

Answers

Answer:

Use the given functions to set up and simplify .

2

x

+

7

=

x

1

=

3

x

+

7

=

x

1

=

2

x

1

1

=

x

3

(

5

+

x

)

=

x

=

2

10

=

x

+

6

+

2

x

=

=

3

x

+

6

3

+

3

x

(

x

2

)

=

3

x

+

4

=

x

=

1

4

+

3

x

1

=

2

x

+

1

+

2

x

=

x

=

6

(

x

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2

x

6

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x

=

1

Step-by-step explanation:

PLEASE HELP ME I WILL MARK YOU BRAINLIEST

Answers

The answer is going to be B

Answer:

D

Step-by-step explanation:

Their are 9 in the first row and their are 5 rows all together so 9 times 5 is 45.

Solve for x in simplest form. 4=4/3 (x−6)

Answers

Answer:

Solve for x in simplest form. 4=4/3 (x−6)

x=9

Step-by-step explanation:

Answer: x = 9

Step-by-step explanation: first you distribute the 4/3 to (x-6) by multiply 4/3 to x and to -6. Which will be 4=4/3x-24/3, then you simplify 24/3 which equal s 4=4/3x-8. Cancel the -8 by adding each side by 8, it'll be 4+8=4/3x-8+8. Which equals 12=4/3x. Then you divide each side by 4/3 to cancel the 4/3. 12/(4/3)=x & to divide a fraction you just need to cross multiply the number so it will be (12/1 x 3/4) = 36/4= 9 so x will be = 9.

whats the answer
f(x)= -2 (1/2) +1

Answers

The answer is 0

-2(1/2) =-1
1-1=0

5x -5=50x + 13

Solve for x

Answers

-x both side and -13 both side
50x-5x=-5-13
45x=-18
Divided by 45 both sides
x=18/45
x=0.4

24677899655995468385477/2468427843686545744

Answers

It is 283747489393939


Determine if the following relation represents a function or not.
{(2,3), (4,3), (6,3), (5,9), (3,9)}

Answers

Answer:

It is a function.

Step-by-step explanation:

Functions are relations in which one domain value is assigned to exactly one range value. The x-value must not repeat in the relation set for it to be a function.

{(2,3), (4,3), (6,3), (5,9), (3,9)}

There are no repeating x-values given.

The relation should be a function.

Hope this helps.

Functions are relationships where a single domain value is allocated to a single range value precisely. For a relation set to be a function, the x-value cannot repeat.

What is a Set?

The simplest definition of a set in mathematics is a grouping of unique items. Any collection of elements, such as a group of numbers, hours of the week, different kinds of automobiles, etc., might be considered a set.

A set's elements are all the items that make up the set.

As per the given data in the question,

{(2,3), (4,3), (6,3), (5,9), (3,9)}

Due to the absence of repeated x-values.

So,

The relationship need to be functional.

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combining like terms with negative coefficients
2x-4xy+5x-2xy-4x-4y?

Answers

67885 truing 6788 yea that ab it

Answer: 3x-6xy-4y

Step-by-step explanation: So, it’s been a few years since I’ve been in high school, but if I remember correctly...it should break down as such...

A good method to breaking this down is to use parentheses to break up the equation.

Example: (2x)(-4xy)(+5x)(-2xy)(-4x)(-4y)

Keep in mind we are only using the parentheses as a breaker and not as multiplication as it can be seen.

So, start with the singular ‘x’ variants. (2x) (+5x) (-4x). 2x+5x is 7x. 7x-4x is 3x. Now, move onto ‘xy’ variant. (-4xy) and (-2xy). As these are both negative, they add together to make an even lower number...being -6xy. Onto the final step taking the singular ‘y’ variant. There’s only 1 ‘y’ variant so it just stays -4y.

In the end, you end up with 3x-6xy-4y. :) Hope this helps. If you have any more questions, let me know!

28 -4t = 3t is it 4 the answer

Answers

Answer:

Yes!

Step-by-step explanation:

28 - 4t = 3t

Isolate t:

28 = 7t

t = 28 / 7 = 4

Answer: yes good job
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