Consider the equation below.
(2 + 4x) (x-3)
6
4
Answer options A through D present a
series of steps for solving this equation.
Identify the first step in which an error
occurs. If there is no error, choose
answer option E.
A
B
C
D
E
6(2 + 4x) = 4(x - 3)
12+24x = 4x - 12
20x = -24
6
5
No errors
x =

Answers

Answer 1

When a quadratic equation is graphed, a parabola is produced, whereas a linear equation results in a straight line.Consequently, (1, 3) and are the answers to the system of equations (-5, -3)

Find the answer of the equation ?

In the following respects, quadratic equations differ from linear equations:When a quadratic equation is graphed, a parabola is produced, whereas a linear equation results in a straight line.In contrast to the slope of a linear polynomial, a quadratic polynomial's slope is dynamic.

(1, 3) and are the answers to the system of equations (-5, -3)

Considering the subsequent features

Y=x^2+5x-3

Y-x=2; y = x + 2

The result of equating both outputs is

x^2+5x-3 = x + 2

x^2+5x-3 - x - 2 = 0

x^2 + 4x - 5 = 0

Formulation factorization

x^2 + 5x - x - 5=0

x(x+5) - 1(x+5) = 0

(x-1)(x+5) = 0

x = 1 and -5

Remember that y=x+2

y = 3 and -3

Consequently, (1, 3) and are the answers to the system of equations (-5, -3)

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Related Questions

Mr. Elliot's class created a mural about Martin Luther King in their school.
The mural was 4.75 feet long by 3.25 feet wide. If it took the class 30 minutes to paint 1 square foot of the mural, about how long did it take them to complete the whole thing?
PLEASE SHOW FULL WORK AND explain
I have struggling for 2 hours now pls help
THANKS FOR YOUR TIME :)

Answers

Answer: To find out how long it took the class to paint the whole mural, you need to first find out how many square feet the mural is. To do this, you can multiply the length and width of the mural together:

4.75 feet x 3.25 feet = 15.4375 square feet

You know that it takes 30 minutes to paint 1 square foot, so you can multiply the number of square feet by the time per square foot to find the total time:

15.4375 square feet x 30 minutes/square foot = 463.125 minutes

So, it took the class approximately 463.125 minutes to paint the whole mural. To convert it to hours, you can divide the minutes by 60:

463.125 minutes / 60 = 7.71875 hours

So, it took the class about 7.71875 hours to paint the whole mural.

Step-by-step explanation:

Brainly is not too helpfull

Answers

Answer:

Step-by-step explanation:

Answer:

Please try to use this as a site for helping others.

Step-by-step explanation:

Amy swims for the same amount of time every morning. Every evening she swims 1 1/2 times as many minutes as she does in the morning. Each day she swims for 50 minutes. How many minutes does she swim in the evening

Answers

In the evening Amy swims for 30 minutes, as per the given condition.

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let Amy swim x minutes in the morning,
So in the evening, she swims for 1 1/2 × x minutes,
According to the quesiton,
Each day she swims for 50 minutes.
x + 1 1/2 x = 50
5x/ 2 = 50
x = 20 minutes

Now,
In the evening,
= 3/2x
= 3/2{20}
= 30 minutes

Thus, in the evening Amy swims for 30 minutes.

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A chemical company manufactures silicon carbide and silicon tetrachloride. It takes 1.5 kg of silica and 0.6 kg of carbon to make 1 kg of silicon carbide. On the other hand, 1 kg of silicon tetrachloride requires 0.35 kg of silica, 0.14 kg of carbon, and 0.84 kg of chlorine. The manufacturer has 105 kg of silica, 84 kg of carbon, and 126 kg of chlorine in stock. If they make $320 profit on 1 kg of silicon carbide and $250 on 1 kg of silicon tetrachloride, how much of each should they produce?

Answers

A percentage can be larger than 100 and a fraction can be greater than 1.

What is meant by percentage?

A percentage is a figure or ratio that can be stated as a fraction of 100 in mathematics. If we need to determine a percentage of a number, multiply it by 100 and divide it by the total. So, a part per hundred is what the percentage refers to. Percent signifies for every 100. The sign "%" is used to denote it.

A percentage can be larger than 100 and a fraction can be greater than 1. We are limited to looking at the whole only when the fraction or percentage relates to a portion of it.

In addition to being stated as a decimal or a fraction, a percentage is a number that indicates how many out of 100 it is. Three for the price of one! Simply enter the % as the numerator and 100 as the denominator to convert the percentage to a fraction.

Therefore, the correct answer is 35%.

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An adult ticket for the cinema cost £12.80 actual ticket is half the price of an adult ticket Mr and Mrs Henderson and the six children go to see a movie Mrs Henderson has a voucher for 22% off how much money does she save

Answers

Total saving by the Henderson's Family is £ 14.08 by using percentage and equations .

What is System of Equation ?

A system of equations comprises two or more equations and seeks common solutions to the equations. "A system of linear equations is a set of equations which are satisfied by the same set of variables."

A finite collection of equations for which we searched for the common solutions is referred to as a system of equations, also known as a set of simultaneous equations or an equation system. Similar to single equations, a system of equations can be categorized. In everyday life, systems of equations are used to model issues when the unknown values may be represented by variables.

A system of equations has only one unique solution if the L.H.S. and R.H.S. of all the provided equations in the system are identical when the variable or point of intersection of the lines representing those equations is substituted.

cost of Adult ticket is £12.80

cost of actual ticket is £12.80/2 = £ 6.40

Total cost of tickets = 2*12.80 + 6.40*6 = £ 64

After appling the voucher , cost of all tickets = (100- 22) % of  64 =

78% of 64.

78/100 * 64 =  £ 49. 92

Total saving is £ (64 - 49.92) = £ 14.08

Total saving by the Henderson's Family is £ 14.08

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The Farmer wants to provide an area of 20 square meters for each rabbit. Which of these is true? Choose all that are correct.

a) The perimeter of the field is approximately 300 meters
b) The perimeter of the field is approximately 316 meters
c) The field will hold a total of 270 rabbits
d) The area of the field is 6,000 square meters
e) The field will hold a total of 300 rabbits

Answers

None of the given statements are true.

What are the area and perimeter of a rectangle?

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

From the given diagram of the rectangle,

The length of the rectangle is 6 units and the width of the rectangle is 4 units.

So, The perimeter of the rectangle is, 2(6 + 4) = 20 meters.

The area of the rectangle is, (6×4) = 24 square meters.

From the given statements none of the statements are true.

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What is the slope of the line

Answers

Answer:

3/2

Step-by-step explanation:

Find 2 easy to read points: (1, -3) and (3, 0).

slope = (difference in y)/(difference in x)

slope = (-3 - 0)/(1 - 3)

slope = -3/(-2)

slope = 3/2

Dedham bought 4 cds that were each the same price. Including sales tax, he paid a total of $63.60. Of that total, $2.80 was tax. What was the price of each CD before tax?

Answers

The price of each CD before tax is $15.20 before tax

Explanation first you need to subtract $2.80 from the $63.60 then you will get $60.80 then you divide the 60.80 by 4 to get 15.20

(
x

6
)
2
=
(
x

6
)
(
x

6
)

Answers

The expression (x-6)² is equivalent to (x-6)(x-6)

What is Expression?

An expression is combination of variables, numbers and operators.

(x-6)²=(x-6)(x-6)

We know the algebraic identity that (a-b)²=a²+b²-2ab

(x-6)²=x²+6²-2x(6)

=x²-12x+36

Now we have to factorize the expression

x²-6x-6x+36

x(x-6)-6(x-6)

(x-6)(x-6)

Hence, the expression (x-6)² is equivalent to (x-6)(x-6)

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Im stuck please help me with this

Answers

Answer:

55°

Step-by-step explanation:

First look at the 130. Since we know all these lines are straight, that means 130 and the angle adjacent to it is a supplementary angle. This means that you can take 180 and subtract 130 to get the inside angle. Now that you have two of three angles of the triangle, you can take 180 and subtract both of the known angles to get your final answer.

i need help aspa thank you

Answers

Step-by-step explanation:

usually, when asked about the equation for a line, we give it in slope-intercept form :

y = ax + b

"a" is the slope, "b" is the y-intercept (the y-value when x = 0).

the graph tells us the y-intercept right away : 6

the scope is the ratio

y coordinate difference / x coordinate difference

when going from one point on the line to another.

I recommend to always look for points with integer coordinates (the line goes through a vertex of a grid square).

the y-intercept gives us the first point

(0, 6)

and then I see easily at the other end of the visible line :

(4, 10)

between these 2 points

x changes by + 4 (from 0 to 4).

y charges by + 4 (from 6 to 10).

the slope is then +4/+4 = 1

so, our equation is

y = x + 6

Use Structure The same dividend is divided by 0.1 and 0.01. How do the quotients compare? Explain your thinking.​

Answers

Answer:

the one divided by 0.01 will result in a quotient 10x larger than the one divided by 0.1.

this is because 0.01 multiplies the quotient by 100 and 0.1 multiplies it by 10.

100 is 10 times larger than 10.

mark brainliest

Step-by-step explanation:

Answer:

Step-by-step explanation:

The one divided by 0.01 will be 10x larger than the one divided by 0.1

simplify the square root of 24

Answers

Answer:

4.89

Step-by-step explanation:

√24 gives the answer above

Find the values of sine, cosine, tangent, cosecant, secant, and cotangent for the angle θ in standard position on the coordinate plane with the point (9,4) on its terminal side.

sin θ =

cos θ =

tan θ =

csc θ =

sec θ =

cot θ =

Answers

The values for the trigonometric functions for given coordinates are,

sin θ = 0.406, cos θ = 0.914,

tan θ = 0.444, cosec θ = 2.46,

sec θ = 1.04,  cot θ = 2.25

What are trigonometric functions?

The ratio of sides of a right-angled triangle is the basis for trigonometric functions and identities. Trigonometric formulas are used to determine the sine, cosine, tangent, secant, and cotangent values for the perpendicular side, hypotenuse, and base of a right triangle.

Given the standard position on the coordinate plane with the point (9,4)

x = 9 and y = 4

Start by sketching the related triangle and the terminal side in the standard position.

Calculate the hypotenuse's missing side using the Pythagorean Theorem.

so h² = 4² + 9²

h² = 16 + 81

h² =97

h = √97

so sinθ = y/h = 4/√97 = 0.406

cosθ = x/h = 9/√97 = 0.914

tanθ = y/x = 4/9 = 0.444

cosecθ = h/y = √97/4 = 2.46

secθ= h/x = √97/9 = 1.04

cotθ = x/y = 9/4 = 2.25

Hence values for functions are,

sin θ = 0.406, cos θ = 0.914,

tan θ = 0.444, cosec θ = 2.46,

sec θ = 1.04,  cot θ = 2.25

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Seven times the difference of a number and eight is seven less than six times the number. Find the number. Round your answer to the nearest integer, if necessary.

Answers

Answer:

hi (●’◡’●)ノ blablablablablablablabla

Kimberly is getting balloons for her father's birthday party. She wants each balloon string to be 9 feet long. At the party store, string is sold by the yard. If Kimberly wants to get 43 balloons, how many yards of string will she need?
1 foot =
1
_
3
yard
Which tape diagram represents the problem?

Answers

The number of yards of string that she will need will be 129 yards.

What is the length?

It is the measure of distance between the two points and is known as length. The length is measured in meters generally.

Kimberly is getting balloons for her father's birthday party. She wants each balloon string to be 9 feet long. At the party store, the string is sold by the yard. If Kimberly wants to get 43 balloons.

Then the length of the string in feet is given as,

Length = 9 x 43

Length = 387 feet

Convert the length from feet to yards. Then we have

Length = 387 / 3

Length = 129 yards

The number of yards of string that she will need will be 129 yards.

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(a) Construct a frequency distribution. Use a first class having a lower class limit of 35,000 and a class width of 5000.
Income
Frequency

Answers

By deducting 0.5 from the lower class limit and 0.5 from the upper class limit, the class borders can be calculated by mean .

what is mean ?

The arithmetic mean, often known as the average, of a dataset is the sum of all values divided by the total number of values (as opposed to the geometric mean). This is the most often used index of central tendency, sometimes known as the "mean." This result can be obtained by simply dividing the total number of values in the dataset by the sum of all the values. For calculations, it is possible to use both unprocessed data and data that have been merged into frequency table . Average refers to the average value of a number.

given

By deducting 0.5 from the lower class limit and 0.5 from the upper class limit, the class borders can be calculated.

For each value that belongs to a class, a check mark should be drawn next to it.

(a)200 students ( sum all F top)

(b) 10 (IQ scores van de 10 en 10)

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Write an equation in point-slope form for the given point and slope: (-5,-7); m=-7

Answers

Answer:

y + 7 = -7(x + 5)

Step-by-step explanation:

Point-slope form is [tex]y - y_{1} = m(x - x_{1} )[/tex]

y1= -7 , x1= -5

Substitute (-5,-7) and m=-7 into the equation

y - ( -7) = -7(x - (-5))

y - ( -7) = -7(x + 5)

y + 7 = -7(x + 5)

Question
Which system of inequalities is shown in the graph?
-5
5
-5
OA. yz 2x-2
yzx²2²-3x
OB. ys 2x-2
yz x²-3x
OC. ys-2x-2
y≤ x²-3x
OD. y≤2x-2
y≤ x²-3x
SUBMIT

Answers

The inequality system represented by the graph is Option A: y = x + 3; y = x2 - 3x.

What is the system of inequality?

We can see from the inequality graph that one of the shaded zones is below the parabola and the other is between the parabola and the bottom of the line.

Due to the thickness of the boundary lines and the fact that both shaded regions are below their respective parabola and line borders, we will use the "less than or equal to" indications for each inequality.

Because both A and D use inequality signals with "less than or equal to," the correct response is between them.

Therefore, option A is the right response.

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solve the equation 7=10s-3

Answers

Answer: s=1

Step-by-step explanation:

What is the relationship between the ratios?

0.2/2.6 and 0.3/3.6

Drag and drop a term into the box to correctly complete the statement.

Answers

Answer:

proportional

Step-by-step explanation:

test = 100%

Answer: The correct answer is that it is proportional?

Find the Mean Absolute Deviation: 10, 9, 3, 8,10.

The Mean is 8

Answers

The Mean Absolute Deviation of the data set 10, 9, 3, 8, 10 with a

mean of 8 is 2.

What is the mean absolute deviation?

The average distance between each data item and the mean is known as the mean absolute deviation.

The gap between each data value and the mean in absolute terms is represented by this average.

Given, A data set 10, 9, 3, 8,10 arranged in ascending order would be,

3, 8, 9, 10, 10 with a mean of 8.

We know the mean absolute deviation formula [tex]\frac{1}{n}\[ \sum_{i=1}^{n} |x_i - \overline{x}|[/tex] which is,

= [tex]\frac{1}{5}\[ \sum_{i=1}^{5} |x_i - 8|[/tex].

= (1/5)[5 + 0 + 1 + 2 + 2].

= (1/5)[5 + 0 + 1 + 2 + 2].

= (1/5)[10].

= 2.

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A soccer field is 115 yards (yd) long by 70 yd wide.
What is the length of the diagonal of a soccer field?
Round your answer to the nearest tenth.
a. Model the problem.
b. State Pythagorean Theorem
c. Substitute given values
d. Solve for the unknown
(yd)
225
a² + b² = c²
1²+ -

Answers

According to the Pythagorean theorem, the hypotenuse's square of a right triangle equals the sum of its two other sides' squares.

What is meant by Pythagorean Theorem?

The widely accepted geometric principle known as the Pythagorean Theorem states that the square on the hypotenuse of a right triangle equals the sum of the squares on its legs (the side opposite the right angle).

With the aid of the Pythagorean Theorem, we may determine the side lengths of a right triangle by adding the areas of three intersecting squares. The base for more intricate trigonometry ideas, such as the Pythagorean theorem's opposite, is provided by this theorem, which is a very helpful tool.

Therefore, the correct answer is option b. State Pythagorean Theorem.

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2(n + 1) = 2n

Given the equation above...what number can be replaced for n so that this equation will always be true?

Answers

There is no possible solution such that the given equation will always be true. The conclusion is drawn using concept of linear equation.

What is a linear equation?

A linear equation is one that has the highest degree of 1 possible. This indicates that there are no variables in a linear equation with exponents greater than 1. Such an equation on the graph, forms a straight line.

We are given equation- 2(n + 1) = 2n

On distributing, we get

⇒2n+2=2n

Now, subtracting 2 from both sides, we get

⇒2n+2-2=2n-2

⇒2n=2n-2

On subtracting 2n from both sides, we get

⇒2n-2n=2n-2-2n

⇒0≠2

Hence, the given equation does not have a solution.

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What is the probability of flipping a fair coin and getting heads all 3 times?

Answers

Answer:

[tex]\frac{1}{8}[/tex]

Step-by-step explanation:

Remember that flipping it on heads has 49.999999

1/2 x 1/2 x 1/2 so ye

About not exact though

Henry is moving and needs to open a new checking account. He is trying to decide between three banks using the chart below:

Bank X
Bank Y
Bank Z
No monthly fees if balance stays above $500, otherwise $7 per month
No monthly fees if check card is used less than 6 times per month
$5 monthly fee
No minimum balance
$25 minimum balance
No minimum balance
Online banking services
Online banking services
Online banking services
Non-Bank X ATM fee - $2.00 per transaction
Non-Bank Y ATM fee - $1.50 per transaction
Non-Bank Z ATM fee - $2.00 per transaction

Henry usually has about $300 in his account at any given time during the month. He limits his ATM visits to one per week and is interested in banking online options. Bank X and Bank Z have 5 ATMs within a 5 mile radius of Henry’s work and his new home. Which bank should he choose?

Answers

Answer: Based on the information provided, Bank Y is the best option for Henry. Although Bank Y has a $25 minimum balance requirement, Henry only usually has $300 in his account, so this will not be a problem. Furthermore, Bank Y has no monthly fees as long as Henry uses his check card less than 6 times per month, which he is likely to do. Additionally, Bank Y offers online banking services, which Henry is interested in.

Bank X has a monthly fee of $7 if the balance stays below $500, which Henry is likely to incur as he usually only has $300 in his account. Bank Z has a $5 monthly fee regardless of the balance, which is not ideal for Henry.

In terms of ATM fees, Bank Y has the lowest fee at $1.50 per transaction, which is lower than the fees charged by Bank X and Bank Z.

So, based on the information provided, Bank Y is the best option for Henry.

Step-by-step explanation:

How many groups of 1 2/3 are in each of the following quantities?
a. 1 5/6
b. 4 1/3
c. 5/6 ​

Answers

Answer:a. There are 1 group of 1 2/3 in 1 5/6.

b. There are 2 groups of 1 2/3 in 4 1/3.

c. There are 0 groups of 1 2/3 in 5/6.

Thirty one percent of students at IS2 are 6th graders. What percent of students at IS2 are 7th and 8th graders?

Answers

69% are 7th and 8th graders
Hope this helps

Answer:

Sixty-nine percent.

Step-by-step explanation:

The total student population of sixth, seventh and eighth grade studentes corresponds to 100%

6th grade ⇒ 31%

Then:

100% - 31% = 69%

7th grade + 8th grade = 69%

In parallelogram GHJK if JL=16 find LG

Answers

Answer:16

Step-by-step explanation:

it’s the same as Jl

i need help with #1-6 please!!

Answers

The inverse function returns the original value for which a function gave the output.

What is Inverse Function?

A function that can reverse into another function is known as an inverse function or anti function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y. When a function is written as "f" or "F," its inverse is written as "f-1" or "F-1." Here, (-1) should not be confused with an exponent or a reciprocal.

If f and g are inverse functions, then f(x) = y if and only if g(y) = xIn trigonometry, the inverse sine function is used to find the measure of angle for which sine function generated the value. For example, sin-1(1) = sin-1(sin 90) = 90 degrees. Hence, sin 90 degrees is equal to 1.If you consider functions, f and g are inverse, f(g(x)) = g(f(x)) = x. A function that consists of its inverse fetches the original value.

Example: f(x) = 2x + 5 = y

Then, g(y) = (y-5)/2 = x is the inverse of f(x).

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