Consider the equation below. "-2(5x+8)=14+6x" The equation was solved using the following steps.

Consider The Equation Below. "-2(5x+8)=14+6x" The Equation Was Solved Using The Following Steps.

Answers

Answer 1

The equation -2(5x+8) = 14+6x solved using step by step representation is x = -15/8.

Solving steps for the Equation

The equation to be considered as given in the task content is; -2(5x+8)=14+6x.

It follows from the task content that the steps for solving the equation are as follows;

-2(5x+8) = 14+6x

Step 1: opening parenthesis

-10x - 16 = 14 + 6x

Step 2: collect like terms

-10x - 6x = 14 + 16

Step 3: evaluate

-16x = 30

Step 4: Division

x = 30/-16

x = -15/8

Hence, the value of x upon solving the equation is; -15/8.

Learn more about equation:

https://brainly.com/question/4344214

#SPJ1


Related Questions

5. Identify the sign of the leading coefficient and describe the end behaviour. Using this
information, decide if each function is cubic or quartic.

Answers

The sign of the leading coefficient can be found using the graph of a polynomial function.

What is polynomial?

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have given the graph of polynomial functions:

In the first graph:

The leading coefficient is positive.

x → ∞, f(x) → ∞

x → -∞, f(x) → -∞

Degree of a function = 3

In the second graph:

The leading coefficient is negative.

x → ∞, f(x) → -∞

x → -∞, f(x) → -∞

Degree of a function = 4

In the third graph:

The leading coefficient is positive.

x → ∞, f(x) → ∞

x → -∞, f(x) → ∞

Degree of a function = 4

In the fourth graph:

The leading coefficient is negative.

x → ∞, f(x) → -∞

x → -∞, f(x) → ∞

Degree of a function = 3

Thus, the sign of the leading coefficient can be found using the graph of a polynomial function.

Learn more about Polynomial here:

brainly.com/question/17822016

#SPJ1

Write and solve an inequality that means a number plus six is less than or equal to twenty-four.​

Answers

Answer:

Inequality:  x + 6 ≤ 24

Solution:  x ≤ 18

Step-by-step explanation:

Plus:  "+" →  to add something to something else

Less than or equal to:  "≤" → the expression on the left side of the inequality sign is smaller than the expression on the right side of the sign.

Let x be the unknown number.

A number plus 6 is less than or equal to twenty-four:

x + 6 ≤ 24

To solve the found inequality, subtract 6 from both sides:

⇒ x + 6 - 6 ≤ 24 - 6

⇒ x ≤ 18

Therefore, the solution to the inequality is x ≤ 18.  The unknown number x can be any real number equal to or less than 18.

No be n

n+6≤24

Solve

n≤24-6n≤18

Solution set

(-oo,18]


a telephone company charges $0.98 for the first minute, $0.82 for each additional minute, and a$1.56 service charge if the cost is 11.56 how long did the person talk

Answers

Answer:

12 minutes

Step-by-step explanation:

added in the picture

Determine whether each ordered pair is a solution to the inequality x+5y<2.



Select all that apply:

(−8,−1)
(−1,0)
(4,2)
(9,6)
(0,10)

Answers

Two points ( -8,-1) and ( -1,0) are the solutions and the other points are not the solution to the inequality.

What is inequality?

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than, or < ‘less than.

Given inequality is:-

x + 5y  <  2.

We will check all the points for the inequality:-

(−8,−1) →  x + 5y  <  2.  →  -8 +(5 x -1) < 2  →  -13 < 2 It is inequality

(−1,0)   → x + 5y  <  2   →   -1 < 2 It is inequality

(4,2)    → x + 5y  <  2   →    14 < 2  wrong

(9,6)    → x + 5y  <  2   →    39 < 2 wrong

(0,10)  →  x + 5y  <  2  →    50 < 2 wrong

Therefore the two points ( -8,-1) and ( -1,0) are the solutions and the other points are not the solution to the inequality.

To know more about inequality follow

https://brainly.com/question/24372553

#SPJ1

evaluate-4x + 2y - z if x = - 2, y = 3, and z = -4

Answers

Answer:

-4(-2)+2(3)-(-4)

8+6+4

16 is the answers

Step-by-step explanation:

please mark me as brainlest

This is part A to one of my questions to help answer the second one, the second question is posted if anyone can help

Answers

Answer:

Step-by-step explanation:

Part A: Since 400 is being multiplied 1.06^t, for it to be equal to 399 the value 1.06^t must be less than 1. The lowest value for t given the domain restriction is 0 which would only result in 1 which will given the initial amount of 400. t would need to be less than 0 for 1.06^t to start going below the value 1 but since there is a domain restriction since t represents time, that value cannot go below 400 to reach 399.

If a study determines the difference in average salary for subpopulations of mechanical engineers and civil engineers is NOT significant, then the subpopulations of mechanical and civil engineers are ________ different salaries.

Answers

Both are not earning different salaries.

If a study determines the difference in average salary for subpopulations of mechanical engineers and civil engineers is NOT significant, then the subpopulations of mechanical and civil engineers are not earning different salaries.
Study determines that there is not any significant study so thats why both are not earning.


Learn more about average median on:

https://brainly.com/question/14532771

#SPJ10

Express cos A as a fraction in simplest terms.

Answers

Answer:

See below

Step-by-step explanation:

Here is one way

cos^2 + sin^2 = 1

cos^2 = 1 - sin^2  

For angle A      cos^2 = 1 - (10/26)^2

                          cos ^2 = 1 - 100/676

                                       =  576/676

                              cos A = 24/26   = 12/13

Another way would be to use the Pythagorean theorem to find length of AB .... then cos A =   length AB / 26

Timothy is an hourly employee and he can work maximum of 40 hours in a week. If the weekly salary depends on the number of hours (h) worked, what will be the domain of the function in this context?

a. h < 40, h ∈ Z
b. h ≥ 0, h ∈ R
c. 0 ≤ h ≤ 40, h ∈ R
d. h ≤ 40, h ∈ R

Answers

Answer:

C

Step-by-step explanation:

 0 ≤ h ≤ 40, h ∈ R

Hope this helps :)

V
On March 8, 2017, one U.S. dollar was worth 66.79 Indian rupees.
(a) On that date, how many dollars was 110.66 rupees worth?
Round your answer to the nearest hundredth of a dollar.
dollars
(b) On that date, how many rupees was 125.29 dollars worth?
Round your answer to the nearest hundredth of a rupee.
I need help with this problem.

Answers

Answer:

a=1.66

b=8368.12

Step-by-step explanation:

hope it helps

find the value of x y and z?​

Answers

Answer:

Step-by-step explanation:

Use the graph of the function to find its domain and range. Write the domain and range in interval notation

Answers

Answer:

Step-by-step explanation:

Help, Help, Brainliest available to the best Answer!



Find the Variance

Answers

Considering the given data-set, it's mean and the formula, the variance is of 870 lbs².

What is the variance of a data-set?

The variance of a data-set is given by the sum of the differences squared between each observation and the mean, divided by the number of values.

The mean is the sum of all observations divided by the number of observations, hence:

M = (145 + 175 + 180 + 205 + 120)/5 = 165.

And the variance, in lbs squared, is given by:

V = [(145-165)² + (175-165)² + (180-165)² + (205-165)² + (120-165)²]/5 = 870.

More can be learned about the variance at https://brainly.com/question/25639778

#SPJ1

if p = (-1,-1) find the image of p under the following rotation. 90 degrees counterclockwise about the origin

Answers

Answer:

( 1, - 1 )

Step-by-step explanation:

If 3x − 6 ≤ f(x) ≤ x2 − 3x + 3 for x ≥ 0, find lim x→3 f(x).

Answers

Answer:

Step-by-step explanation:

7
2
3
Mark this and return
f(x)
The functions f(x) and g(x) are graphed.
3
-6-5-4-3-2-1₁-
"AssessmentViewer(Ant
N
5
-2+
-3-
6
g(x)
7
2 3 4 5 6 x
8
Which represents where f(x) = g(x)?
Of(2)= g(2) and f(0) = g(0)
f(2)= g(0) and f(0) = g(4)
Of(2)= g(0) and f(4) = g(2)
Of(2)= g(4) and f(1) = g(1)
Save and Exit

Answers

Answer: Option 1

Step-by-step explanation:

The graphs intersect at x=0 and x=2, meaning f(2)=g(2) and f(0)=g(0).

The functions have the intersecting points at x = 2 and x = 0 and the relation is f ( 0 ) = g ( 0 ) and f ( 2 ) = g ( 2 )

What is a function rule?

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the first function be represented as f ( x )

Let the second function be represented as g ( x )

Now , the function f ( x ) is a parabolic function and g ( x ) is a linear function

And , the intersecting points of both f ( x ) and g ( x ) are

x = 2 and x = 0

So , both the functions f(x) and g(x) intersect at two points, one at x = 2 at the x-axis in the graph and one at y = 4 at y-axis of the graph

Therefore , f ( 0 ) = g ( 0 ) and f ( 2 ) = g ( 2 )

Hence , the functions are solved

To learn more about function rule click :

https://brainly.com/question/3760195

#SPJ5

The function f(x)=5(x−1) is shown on the coordinate plane.
Select from the drop-down menus to correctly describe the end behavior of ​f(x)​.

As x decreases without bound, the graph of f(x) ______
1. approaches y=0
2. increases without bond
3. decreases without bond

As x increases without bound, the graph of f(x) ______
1. approaches y=0
2. increases without bond
3. decreases without bond

Answers

As x decreases without bound, the graph of f(x)  approaches y = 0

As x increases without bound, the graph of f(x)  increases without bound

What is Function?

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

f(x)=5^(x−1)

When x -> -∞

[tex]lim_{ x- > -\infty.[/tex] f(x)= 5 ^(x-1) = 0

When x -> ∞

[tex]lim_{ x- > \infty.[/tex] f(x)= 5 ^(x-1) =

Hence,

As x decreases without bound, the graph of f(x) approaches y = 0

As x increases without bound, the graph of  f(x) increases without bound

Learn more about function here:

https://brainly.com/question/12431044

#SPJ1

A carpet installer charges a flat rate of $40 + $1.50 per square foot for labor so the total cost for the labor depends on the amount of carpet installed the relationship between the total cost for labor and the amount of corporate installed is the domain of the relation is the range of the relation is

Answers

The domain of the linear function is (1.5, ∞) and the range of the linear function will be (40, ∞).

What are domain and range?

The domain means all the possible values of x and the range means all the possible values of y.

A carpet installer charges a flat rate of $40 and $1.50 per square foot for labor.

So the total cost for the labor depends on the amount of carpet installed, the relationship between the total cost for labor and the amount of corporate installed.

Then the domain of the relation is the range of the relation will be

Let y be the total amount and x be the number of square foot.

y = 1.5x + 40

Then the domain of the linear function is (1.5, ∞) and the range of the linear function will be (40, ∞).

The graph is given below.

More about the domain and range link is given below.

https://brainly.com/question/12208715

#SPJ1

Which expression is equivalent to (1−sinβ)(1+sinβ)/cos2β for all values of β for which (1−sinβ)(1+sinβ)/cos2β is defined?
Select the correct answer below:

tan2β
tanβ+secβ
tanβ
sec2β
1

Answers

Answer: Choice E)  1

Work Shown:

[tex]\frac{(1-\sin(\beta))(1+\sin(\beta))}{\cos^2(\beta)}\\\\\frac{1-\sin^2(\beta)}{\cos^2(\beta)}\\\\\frac{\cos^2(\beta)}{\cos^2(\beta)}\\\\1\\\\[/tex]

Therefore, [tex]\frac{(1-\sin(\beta))(1+\sin(\beta))}{\cos^2(\beta)}=1\\\\[/tex] is an identity for all values of β for which the original expression is defined. I used the difference of squares rule for the 2nd step. Then I applied the pythagorean trig identity for the 3rd step.

Part B
Assume the statement is true for n=k. Prove that it must be true for n=k+1, therefore proving it true for all natural
numbers, n.
Hint: Since the total number of dots increases by n each time, prove that d (k) + (k+1)=d (k+ 1).

Answers

The inductive step is assuming that the statement is true for some  n = k , where  k  is one of the values we want to prove the statement for, it shows that it is also true for  n = k+1.

How to carry out Mathematical Induction?

Suppose we have the statement 3n > 4n for all positive integers  n.

Now, the statement above is false when n = 1 , since 3 is less than 4. However, it will be true for all other positive integers.

In that case, we can still prove this statement by induction for all integers  n ≥ 2 .

Thus, the inductive step is assuming that the statement is true for some  n = k , where  k  is one of the values we want to prove the statement for, it shows that it is also true for  n = k+1.

Read more about Mathematical Induction at; https://brainly.com/question/24672369

#SPJ1

How much acetic acid is in a 5 - liter container of acetic acid and water that is marked 80% acetic acid ? How much is water ?

Answers

I think the question ur asking is what’s the volume of water?? If so then the volume of water is 1L

which of the following would be an acceptable first step in simplifying the expression tan^x/1+sec^x

Answers

The first step is replacing the given trigonometric functions by simpler ones and then taking the product of the denominators.

Which is the first step to simplifying the given expression?

Here we have the expression:

[tex]\frac{tan(x)}{1 + sec(x)}[/tex]

Remember that:

[tex]tan(x) = \frac{sin(x)}{cos(x)}\\ \\sec(x) = \frac{1}{cos(x)}[/tex]

Replacing that would be the "step zero", we can write:

[tex]\frac{tan(x)}{1 + sec(x)} = tan(x)*\frac{1}{1 + sec(x)} = \frac{sin(x)}{cos(x)} \frac{1}{1 + \frac{1}{cos(x)} }[/tex]

The first step to simplify this, is taking the product between the denominators:

[tex]\frac{sin(x)}{cos(x)} \frac{1}{1 + \frac{1}{cos(x)} } = sin(x)*\frac{1}{cos(x) + \frac{cos(x)} {cos(x)} } = \frac{sin(x)}{cos(x) + 1}[/tex]

If you want to learn more about trigonometric functions:

https://brainly.com/question/8120556

#SPJ1

Answer:

tanx(1-secx)/(1+secx)(1-secx)

Step-by-step explanation:

aP E

how to evaluate 16/81 1/2

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The value of (16/81)^(1/2) is 4/9.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.


The value of the given expression (16/81)^(1/2) can be calculated as shown below,

[tex](\dfrac{16}{81})^{\frac12}\\\\=\sqrt{\dfrac{16}{81}}\\\\= \dfrac49[/tex]

Hence, the value of (16/81)^(1/2) is 4/9.

Learn more about Expression:

https://brainly.com/question/13947055

#SPJ1

Answer:

★The square root of 16/81 = 4/9.

If f(n)= n²-n, then f(-4) is
O-20
12
-12
20

Answers

Answer:

20

Step-by-step explanation:

Plug in -4 for n:

(-4)^2 - (-4) = 16 + 4 = 20

which terms could have the greatest common factor of 5m2n2? select two:
m5n5
5m4n3
10m4n
15m2n2
24m3n4

Answers

Answer:

5m4n3 and 15m2n2

Step-by-step explanation:

you just have to find the 2 that each are divisible by 5m2n2, which are 5m4n3 and 15m2n2.

24. This week, Cristina eamed P594.65 from selling burgers for 35 days. How much he will earn in 5 days?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter. You got 88.75 for the first quiz, 85.5, 90.5, and 87.25 in the second, third and fourth quizzes, respectively. What is your average in the four quizzes this quarter?
A. 86.5
B. 88
C. 89.5
D. 90 26. Amberich put P580.00 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for one year in pesos and centavos?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
24. This week , Cristina eamed P594.65 from selling burgers for 35 days . How much he will earn in 5 days ?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter . You got 88.75 for the first quiz , 85.5 , 90.5 , and 87.25 in the second , third and fourth quizzes , respectively . What is your average in the four quizzes this quarter ?
A. 86.5
B. 88
C. 89.5
D. 90
26. Amberich put P580.00 into a savings account for one year . The rate of interest on the account was 6.5 % . How much was the interest for one year in pesos and centavos ?
A. P67.70
B. P37.70
C. P57.70
D. P17.70​

Answers

Question 24 :

P594.65 : 35 days

P594.65/7 : 35/7 days

P84.95 : 5 days

A. P84.95

Question 25 :

88.75 + 85.5 + 90.5 + 87.25 / 4

352/4

88

B. 88

Question 26 :

I = P × r × t

I = 580.00 × 0.065 × 1

I = P37.70

B. P37.70

what is the 10th term for sequence 4; 8; 13; 19; 26​

Answers

Answer:

40

Step-by-step explanation:

THE LENGTH OF A PAINTING OF A TREE IS 2/9 OF THE LENGTH OF THE ACTUAL TREE. IF THE LENGTH OF THE PAINTING OF THE TREE IS 16 INCHES, WHAT IS THE LENGTH IN INCHES OF THE ACTUAL TREE

Answers

The length of the actual tree will be 72 inches.

Fraction is the portion of a total amount where the above part of the fraction is the denominator and the bottom part of the fraction is called the numerator.

The equation whose highest degree of the variable is 1 is called a linear equation.

Here given that the length of a painting of the tree is 2/9 of the actual length of the tree.

So mathematically the length of a painting= (2/9)*the length of actual tree

Let the length of the actual tree is x

then from above it is clear that the length of a painting of the tree= (2/9)x

Given the length of the painting is 16 inches.

So the linear equation will be (2/9)x= 16

⇒ x= 16/(2/9)

⇒x= 16*9/2

⇒x=72 inches

Therefore the length of the actual tree will be 72 inches.

Learn more about linear equation

here: https://brainly.com/question/1365672

#SPJ10

Use the moving and additivity principles to explain and she weighs why the next triangle has an area of 1/2 (b*h) Square units for the given choices of B and H. One! If it naturally with the expression b*(1/2h) and the other should fit naturally with the expression 1/2(b*h)

Answers

Answer: The given triangles have an area [tex]1/2[/tex] × [tex]base[/tex] × [tex]height[/tex]

Step-by-step explanation:

The moving principle states that if you move a shape rigidly without stretching it the area does not change whereas the additivity principle states that if you combine different shapes without overlapping them then the area is the cumulative sum of each of the figures.

Since both, the principle will give out the same answers. the arrangement for the expression can be manipulated also.

For the first triangle applying the moving principle gives,

Area  [tex]=[/tex] [tex]b[/tex] × [tex](\frac{1}{2}[/tex] · [tex]h)[/tex]

For the second triangle applying the additivity principle,

Area [tex]=\frac{1}{2}[/tex] ([tex]b[/tex] · [tex]h[/tex])

Learn more about the moving and additivity principle here -https://brainly.com/question/16972684

#SPJ10

If the volume of the pyramid is 192 yd³; and the area of the base is 64 yd², what is the height measured in yards?

Answers

Answer:

177

Step-by-step explanation:

Other Questions
What was the problem with this genetic engineering solution Which is one way that a short-term environmental change will most likely affect organisms within an ecosystem?. Which of the following shows strong characterization?A. Will was known for his intensity. Once Will had a goal in mind there was nothing that would stop him. It didnt matter if he had to hurt people, break laws or even hurt himself, he was going to do whatever he was set out to do.B. TJ was a. He was an awful person. He was not good at all. He was evil and known to be mean.C. Frank is tall, nineteen years old, and likes pizza.D. Kevin sat terrified in his jail cell. The cold wind blowing though his open, barred window made him shiver. Water dripped from the celling adding moisture to the air, and rusting the bars of his cell. Kevin has no idea why he was there, or when he would get out. Read the stanza from "A Vagabond Song."There is something in the autumn that is native to my bloodTouch of manner, hint of mood;And my heart is like a rhyme,With the yellow and the purple and the crimson keeping time.How does the author use elements of poetry in this stanza? Need help with this please!! :) Suppose that you want to train a group of engineers how to use their left brains to think more logically and use sequential plans to help them make decisions. Which of the following activities would help engineers get in touch with their left brains? Check all that apply. Select the correct answer.The radius of the ball bearings produced at a factory must be 1.25 centimeters, with a tolerance of 0.1 centimeter. Which equation can be usedto find the minimum and maximum radil accepted? (Assume rrepresents the actual radius of any given ball bearing.)OA /r-1.25/= 0.1OB. 11.25r-1.25/= 0.1OC. /r-0.1/= 1.25OD. /r-0.1r/= 1.25 Which ordered pair is on the graph of the equation 4x + 3y = 13?(1, 6)(0, 3)(1, 3)(4, 1) Find yyA.4B. 42C. 8D. 22X3043 Which natural resources were most important to the development of industrialization in the United States? Check all that apply 4. Find the area:23 m5 m379m389m74m5 m18 m6 m Do not deny & Do not have to deny are the same or different? Can someone check if my equation is correct? Thank you so much! Question 34 (1 point)4.00 moles of Ar gas and 5.00 of Xe gas are added to a flask, giving a total pressureof 15.00 atm. What is the partial pressure, in atm, due to just Xe gas in this system?6.67 atm5.00 atm9.00 atm8.33 atm How have the changing roles of women affected society? 1.) What does Paula ask the principal? For students to be heard in the walkout 2006 hen approaching a curve, it is best to: A. Search for possible collision traps and escape paths B. Stay close to the centerline if there is oncoming traffic C. Squeeze the clutch lever to slow down D. Shift to a higher gear what factors affect the populations in a ecosystems c) Use the table to explain how the masses of Objects 1 and 2 relate to the gravitational forcebetween them. Be sure to:Describe the scenario.DExplain the table headings to introduce the data in the table.Use the data to show a trend.Summarize the information from the table in a sentence, showing the relationship betweenthe masses of objects and the gravitational force between the objects. A distillation column with a partial reboiler and a total condenser is being used to separate a mixture of benzene, toluene, and 1,2,3-trimethylbenzene. The feed, 40 mol% benzene, 30 mol% toluene, and 30 mol% 1,2,3-trimethylbenzene, enters the column as a saturated vapor. We desire 95% recovery of the toluene in the distillate and 95% of the 1,2,3-trimethylbenzene in the bottoms. The reflux is returned as a saturated liquid, and constant molar overflow can be assumed. The column operates at a pressure of 1 atm. Find the number of equilibrium stages required at total reflux, and the recovery fraction of benzene in the distillate. Solutions of benzene, toluene, and 1,2,3-trimethylbenzene are ideal.