6x2x(x−3) x (x−3)10(x+2)

The decimal value is exact without any rounding.

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

Explanation:

If Jackson saves 22%, then he pays the remaining 100% - 22% = 78%, which leads to the decimal value 0.78

An increase of 6% leads to 100%+6% = 106% and that converts to 1.06

Multiply those decimal values: 0.78*1.06 = 0.8268; this trick is useful to chain together multiple discounts and/or tax increases.

Therefore, the final cost expression is 0.8268y where the variable y is the original price before the discount and taxes.

---------

Extra info:

The expression 0.8268y tells us that Jackson is paying 82.68% of the original price. Note how 100% - 82.68% = 17.32%

This means Jackson is getting a real discount of 17.32% after the taxes have been considered.

On solving the provided question, we can say that - the value of the given polynomials domain will be ( - infinity, 0)

The range of values a function may accept is referred to as its domain. These numbers represent the x-values of a function like f. (x). The range of values that a function may operate on is referred to as its domain. The value that the function returns following the insertion of the x value is this set. A function containing the independent variable x and the dependent variable y is said to be y = f(x). A value of x is said to be in the domain of a function f if it can be used to successfully create a single value y utilizing the value of x for that purpose.

domain will be ( - infinity, 0)

range = (-infinity, +infinity)

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The value of hydronium ion concentration in the vinegar is 3.162×10^-3 (optionD)

pH is defined as the negative log of the hydrogen ion concentration. The range of pH extends from zero to 14. A pH value of 7 is neutral, because pure water has a pH value of exactly 7.

pH can also be defined as the measure of acidity and alkalinity of a substance.

pH = –log(H+)

Therefore (H+) = 10^-(pH)

For a pH of 2.5, the hydronium ion concentration

= 10^-2.5

(H+) = 0.003162 = 3.162×10^-3

Therefore hydronium ion concentration of the vinegar is 3.162×10^-3

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Answer:

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Let the number of hours be [tex]x[/tex].

[tex]125+7x<110+10x \\ \\ 15+7x<10x \\ \\ 15<3x \\ \\ x>5[/tex]

So, the minimum is 6 hours.

Both Kylie and Bennet are correct.

Opposite of the opposite of a number is negative if the number is a positive number.

Opposite of the opposite of a number is positive if the number is a negative number.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number = x

The Opposite of x is -x.

Opposite of -x.

= -(-)

= x

Number = -x

The opposite of -x.

= -(-x)

= x

The opposite of x.

= -x

Thus,

Both the person is correct.

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Answer:

Step-by-step explanation:

you should give the function, if i haven't it, how can i help you.

i can give u some tips, put 1.5, 2.5, 2 in function respectively. then calculate them, u will get the answer.

A percentage of Bashir's commute that would be shorter than 32 minutes, to the nearest 10th is 50%.

Mathematically, the z-score of a given sample size or data set can be calculated by using this formula:

Z-score, z = (x - μ)/σ

Where:

Substituting the parameters into the z-score formula, we have;

Z-score, z = (32 - 32)/3

Z-score, z = 0/3

Z-score, z = 0

Since a commute of 32 minutes on a test has a z-score of 0, the percentage of Bahir's commute that would be shorter than 32 minutes can be calculated as follows:

P(x > 32) = P(z > 0)

P(z > 0) = 0.5

P(z > 0) = 50%.

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Answer: Angles 2 and 4 = 38, Angle 1 = 142

Step-by-step explanation:

Given that angle 3 is equal to 142, the angle between 2 and 3 has to add up to 180. 142 + 38 = 180. The same applies for angle 4 and 3. So, angle 1 + angle 2 has to add up to 180. We already know angle 2, so now we just have to subtract that from 180 to find angle 1.

The following is the proper response to this problem's inequality. The relationship between negative one fifth and negative two thirds is higher than or equal when y is bigger than or equal to three tenths.

In mathematics, an inequality is a link between two expressions or values that is not equal. Thus, inequality arises as a result of imbalance. An inequality in mathematics describes the connection between two values that are not equal. Many simple inequalities can be eliminated by modifying both sides until just the variables are left. However, a number of things lead to inequality: On both sides, divide or add negative values. Toggle between left and right.

Given

One fifth less is -1/5.

When a negative two thirds is added to a number, the result is -2/3x. Since the value is unknown, we refer to it as x.

The following is the sign for more than or equal inequality:

The inequality is therefore: -1/5 -2/3x.

So that it will be easier for us to isolate x:

2/3x ≥ 1/5

2x ≥ 3/5

x ≥ 3/10.

Since y is more than or equal to three tenths, the right answer for the inequality is: negative one fifth is greater than or equal to negative two thirds y.

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The expression can be written as x ≤ 3 + y ≤ 12 ≥ 6. which is an inequality.

A mathematical operator that expresses the inequal comparison between different numbers or different variables and numbers. There are various types of inequalities such as greater than >, less than <, greater than or equal ≥ and less than or equal ≤

Frank participates in exercise program at least 6 hours in each week.

He spends at most 12 hours on weight training

y denotes the time in hours that he spends on weight training.

Frank spends at most 3 hours doing cardiovascular works

x denotes the time in hours that he spends doing cardiovascular works

The expression that can represent the above statement.

can be written as

x ≤ 3 and y≤ 12

x ≤ 3 + y ≤ 12 ≥ 6

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Answer:

it is not factorable

Step-by-step explanation:

There are no factors of 24 that will make -4, so it is not factorable

The value of m in the given equation 4x² -mx +9 will be 13.

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates in mathematics. Polynomials come in various varieties. Monomial, binomial, and trinomial, respectively.

given an equation 4x² -mx + 9 = 0 and the question states that it has a root that is equal to 1

Since 1 is the root of this quadratic equation it will satisfy the equation

Substituting the values in the equation

4 - m + 9 = 0

m = 13

Therefore, In the given equation 4x² -mx +9 the value of m will be 13.

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Answer: 70 cm

Step-by-step explanation: perimeter = 2*width + 2*length

408 = 2*width + 2*134

408 = 2*width + 268

Subtract 268 from both sides.

140 = 2*width

DIvide both sides by 2

Width = 70 cm

Answer:

The width of the rectangle is 70 cm

Step-by-step explanation:

Given,

To Find : The width of the rectangle

As we know, the formula to find the Perimeter of the rectangle is

[tex]P = 2(l+b)[/tex]

Now the Perimeter is given and the length

[tex]408 = 2(134 + b)[/tex]

Now using distributive property

[tex]408 = 268 + 2b[/tex]

[tex]408 - 268 = 2b[/tex]

[tex]140 = 2b[/tex]

[tex]\frac{140}{2} = b[/tex]

[tex]70cm = b[/tex]

Hence, the width of the rectangle is 70 cm

Answer:

y=1x-6

Step-by-step explanation:

First we find the slope by using rise over run. So you can either count up and over(rise/run) or use the slope formula y2-y1/x2-x1. You will find that the slope is 1, so plug that into the equation for mx. So we have y=1x so far. Then we find the y-intercept by looking where the graph intersects the y-axis. As you can see it intersects at -6, so plug -6 into the equation for b. No we have our full equation of y=1x-6.

-Hope this helped

Answer:

Below

Step-by-step explanation:

0 ft -4.2 + 3.4 - 10 = -10.8 ft     or 10.8 ft below the surface

Answer:

0.02083333333

The graph of the equation x + 2 would be a straight line that starts at the point (-2, 0) and goes up 2 units on the y-axis. So, the line would pass through the point (0,2) and would be parallel to the x-axis.

The graph of the equation 3x when x is 2 would be a straight line that starts at the point (0,0) and goes up 6 units on the y-axis for each 1 unit on the x-axis. So, the line would pass through the point (2,6) and would have a slope of 3.

In mathematics, a diagram is a visual representation of mathematical concepts or ideas. Diagrams can take many forms, such as graphs, charts, illustrations, and figures, and can be used to help explain or understand mathematical concepts.

For example, a graph is a type of diagram that is used to represent the relationship between two variables. It is commonly used in algebra and calculus to show the relationship between an independent variable (x-axis) and a dependent variable (y-axis).

A chart is a type of diagram that is used to organize and present data. It is commonly used in statistics to show the distribution of data or to compare different sets of data.

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The result of the product of the given complex numbers as required to be determined is; Choice C; -5 + 14i.

It follows from the task content that the result of the product of the given complex numbers is to be determined.

On this note, since the required product to be evaluated is; (–4 + i) (2 – 3i).

We can therefore multiply as follows;

-8 + 12i + 2i - 3i².

However, it is noteworthy to know that; i² = -1.

Hence, we have that;

-8 + 14i + 3

= -5 + 14i

On this note, it follows that the result of the product of complex numbers as required is; -5 + 14i.

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The marginal average cost is -1 and The marginal average cost for 200 is  $699.

The price to manufacture a second unit of output is known as the marginal cost. Since marginal cost aids in determining the level of production that is the most effective for a manufacturing process, it is a crucial topic in cost accounting. It is estimated by estimating the costs incurred even if just one more unit is produced.

Given The total cost​ (in dollars) of manufacturing x auto body frames is ​C(x)=40,000+500x.

Average cost = Cx / x

Average cost = (40,000 + 500x)/ x

For x = 200

Average cost = (40,000 + 500 * 200)/200

Average cost = 700$ per frame

Marginal average cost = d(Cx/x)/dx

d(Cx/x)/dx = -40,000/ x^2

at x = 200

Marginal average cost = -40,000/ 200^2  = -1

Marginal average cost = -1 tells us the average cost

decrease at the rate of -1 for every x

Average cost for 200 = 700$ per frame

Average cost for 200 = 700 + 1 (-1)

The average cost for 200 = 700 -1 = 699$

therefore, the Marginal average cost for 200 is $699.

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x

−

1

x−1?x

)

=

2

x

4

−

3

x

+

3

f(x)=2x

4

−3x+3, then what is the remainder when

f

(

x

)

f(x) is divided by

x

−

1

x−1?

Answer:

Rate of change= 1/3

Initial value = -4

Step-by-step explanation:

The rate of change is rise/run = 1/3.

the initial value is the y-intercept which is -4.

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below

[tex](\stackrel{x_1}{-6}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-3}-\stackrel{y1}{(-6)}}}{\underset{\textit{\large run}} {\underset{x_2}{3}-\underset{x_1}{(-6)}}} \implies \cfrac{-3 +6}{3 +6} \implies \cfrac{ 3 }{ 9 } \implies \cfrac{1 }{ 3 }[/tex]

now as far as the "initial value", dunno what that means.

The start of the line? well, the line by definition goes to infinity both ways.

the y-intercept? well, just look at the graph, the graph intercepts the y-axis when x = 0 and y = -4, so at (0 , -4).

Answer:

4 inches is the radius

Step-by-step explanation:

Answer:

x ≥ 10

Step-by-step explanation:

Total Points = 50 + 3.5x
Total Points ≥ 85
50 + 3.5x ≥ 85
3.5x ≥ 35

then divide both sides by 3.5

x ≥ 10

Answer:Sure! Here are four daily life examples where 20 subtracted by 0 is equal to 20:

1. You have 20 pieces of fruit in a basket, and you take 0 pieces of fruit out of the basket. You are left with 20 pieces of fruit in the basket.

2. You have 20 minutes left on your parking meter, and you add 0 more minutes to the meter. You still have 20 minutes left on the meter.

3. You have 20 dollars in your wallet, and you spend 0 dollars. You still have 20 dollars in your wallet.

4. You have 20 pages left to read in a book, and you haven't read any additional pages. You still have 20 pages left to read.

The fraction that is equivalent to 3/4 is seen as; 6/8

A number sentence is defined as a mathematical sentence that is made up of numbers and symbols.

We want to write a number sentence using multiplication to show a fraction that is equivalent to 3/4.

Now, for us to find the final equivalent fraction, what we have to do is that we will divide or multiply by  denominator and numerator by the same number that is equal to one e.g 3/3; 5/5; 6/6, etc.

Since we want to find equivalent fraction of 3/4, let us multiply both numerator and denominator by 2 to get;

(3 * 2)/(4 * 2) = 6/8

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Answer:

this is the graph and just find the slope each equation

The given equation is a second order differential equation

In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives.

Isaac Newton listed three kinds of differential equations given -

[tex]${\displaystyle {\begin{aligned}{\frac {dy}{dx}}&=f(x)\\[4pt]{\frac {dy}{dx}}&=f(x,y)\\[4pt]x_{1}{\frac {\partial y}{\partial x_{1}}}&+x_{2}{\frac {\partial y}{\partial x_{2}}}=y\end{aligned}}}[/tex]

Given is a differential equation as follows -

d²a/db² + a = 4b + 10sin(b)

The given equation is -

d²a/db² + a = 4b + 10sin(b)

Let y = a and x = b, then we can write -

d²y/dx² + y = 4x + 10sin(x)

A second order differential equation is one that expresses the second derivative of the dependent variable as a function of the variable and its first derivative. It is of the form -

d²y/dx² + P(x) dy/dx + Q(x) y = f(x)

For the equation given -

d²y/dx² + y = 4x + 10sin(x)

On comparing, we get -

P(x) = 0

Q(x) = 1

f(x) = {4x + 10sin(x)}

Therefore, the given equation is a second order differential equation.

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