What is the range of this exponential function?
y = 7*

Answer:

y = - x + 4

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 6 ) and (x₂, y₂ ) = (4, 0 )

m = [tex]\frac{0-6}{4-(-2)}[/tex] = [tex]\frac{-6}{4+2}[/tex] = [tex]\frac{-6}{6}[/tex] = - 1 , then

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation.

using (4, 0 ) , that is x = 4, y = 0

0 = - 4 + c ⇒ c = 0 + 4 = 4

y = - x + 4 ← equation of line

The rational expressions include the following two (x²+6)/x²-4,  6/x²-7

You should understand that a rational expression is nothing more than a fraction in which the numerator and/or the denominator are polynomials.

Rational fractions can be reduced to their lowest terms

Examples rations expressions include

(7n-9)(p+5)

Radical expression which is used to indicate a root is called a radical and is therefore read "x radical n," or "the nth root of x." In the radical symbol, the horizontal line is called the vinculum, the quantity under the vinculum is called the radicand, and the quantity n written to the left is called the index.

Example 1) (6p+9)/5p = √(6p+9)/√(5p)  (2) (7n-9)(p+5) = √(7n-9)(p+5)

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The unit that is most appropriate for the time at which the number of weeks is 120 is given as follows:

Week.

The general format for an exponential function is given as follows:

[tex]y = a(b)^{\frac{x}{n}}[/tex]

The parameters for the exponential function are defined as follows:

The number of weeds in my yard doubles every 3 weeks, and the initial number of weeks is of 80, hence the values of the parameters are given as follows:

a = 80, b = 2, n = 3.

As n = 3, we have that the unit of the output variable is of weeks, hence weeks is the appropriate measure in this problem.

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Answer:

Step-by-step explanation:

200-56=144 minutes

Answer:

Step-by-step explanation:

I can calculate the volume of a prism with a complicated base by decomposing the Which of these solids are prisms

On solving the provided question we can say that - the value of the equation x = y^2 -5 from the graph will be 59.

Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph

here, the equation from the graphs is

[tex]y^2 = x^8 -7.8x-9,=.43y[/tex]

and y = 8

x = 59

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statistics is the calculation or manipulation of data or any other things where the operation of addition division multiplication substraction will be held but not any other logic related to non tangible

non statistical sampling is where calculation or any other means of addition substraction is not done but the judgement is done on the basis of examiners mind but not on the basis of any calculation .

we can use statistic in every day life also in every field because if we do any calculation then it is a part of mathematical statistic

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Answer:

  1064

Step-by-step explanation:

You want the product g(3)·g(4), given that g(x) = x³ -8.

For each function value, put the number where the variable is and do the arithmetic.

  g(3)·g(4) = (3³ -8)(4³ -8) = (27 -8)(64 -8) = 19·56

  g(3)·g(4) = 1064

The statement that is false is: " lf p q is true, then p is a necessary condition in order that q holds."

In a logical statement "p implies q" (p->q), if p is true, then q must be true as well. However, this doesn't mean that p is necessary for q to hold. A necessary condition means that p is required for q to be true, but it's not sufficient, it may be other conditions that are also needed. In this statement, p is a sufficient condition for q to hold, but it's not necessary. This statement is a logical converse of the second statement "If p q is true, then p is a sufficient condition in order that q holds."

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Answer:

y = 4/5x + 3

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope slopes.

The first line is y = 4/5x + 2. Its slope is 4/5. A line parallel to this one will also have a slope of 4/5.

Plug this value (4/5) into your standard point-slope equation of y = mx + b.

y = 4/5x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (5, 7). Plug in the x and y values into the x and y of the standard equation.

7 = 4/5(5) + b

To find b, multiply the slope and the input of x (5)

7 = 4 + b

Now, subtract 4 from both sides to isolate b.

3 = b

Plug this into your standard equation.

y = 4/5x + 3

This equation is parallel to your given equation (y = 4/5x + 2) and contains point (5, 7).

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The value of x and y in the equations is 1

Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time. For example, below are some simultaneous equations: 2x + 4y = 14 4x − 4y = 4.

Simultaneous equation can be solved by elimination and substitution method, but we are going to use elimination method here.

3x - 2y = 1 equation 1

9x - 6y = 3 equation 2

making the coefficient of x to be thesame in both equations

27x - 18y = 9 equation 3

27x - 18y = 9 equation 4

equation 3 and 4 are equal, this means that the value of x and y are equal.

Therefore for the equation to be true, x = 1 , y= 1

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Answer: im assuming it is true

Step-by-step explanation:

Answer:

After investing for 3 years at 7% interest, your $600 investment will have grown to $735.03

Step-by-step explanation:

The linear equation from the equation given in the picture, would be  y = - 0. 2x + 2

A linear equation is used to determine the direction and values of a line in a chart or graph. It takes the form shown below of :

y = mx + b

y is the dependent variable

m is the slope of the line

x is the independent variable

b is the y - intercept

When given the formula, x + 5y = 10, the linear equation can be found in the steps of :

x + 5y = 10

5y = 10 - x

Divide all sides by 5 to get rid of the 5 next to y:
5y / 5 = 10 / 5 - x / 5

y = 2 - 1 / 5 x

y = - 0. 2x + 2

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[tex](\stackrel{x_1}{x}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{9}~,~\stackrel{y_2}{8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{8}-\stackrel{y1}{5}}}{\underset{\textit{\large run}} {\underset{x_2}{9}-\underset{x_1}{x}}} ~~ = ~~\stackrel{\stackrel{\textit{\small slope}}{\downarrow }}{\cfrac{1}{4}}\implies \cfrac{3}{9-x}=\cfrac{1}{4}\implies 12=9-x \\\\\\ 12+x=9\implies \boxed{x=-3}[/tex]

Answer: P=52

Step-by-step explanation:

sorry if wrong

Answer:p=52

Step-by-step explanation:

Yes, the set of all solutions of a system of m homogeneous equations in n unknowns is a subspace of [tex]$\mathbb{R}^n$.[/tex]

A subspace is a set of vectors that is closed under linear combinations. This means that if two vectors in the set are added together, the result is also in the set. A system of m homogeneous equations in n unknowns can be represented as a system of linear equations. The solution set of the system is the set of all vectors that satisfy the linear equations. Since the solution set is closed under addition, it is a subspace of [tex]$\mathbb{R}^n$[/tex]Furthermore, any linear combination of two solutions of the system is also a solution of the system, which further confirms that the solution set is a subspace of [tex]$\mathbb{R}^n$[/tex]

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The difference between the two probabilities is about 4.06 percentage points, so the answer is (c).

To compare the theoretical probability and the experimental probability of drawing a blue tile, we need to calculate both probabilities.

First, let's calculate the theoretical probability. There are a total of 36 tiles in the bag, and 10 of them are blue, so the theoretical probability of drawing a blue tile is 10/36, or about 27.78%.

Now let's calculate the experimental probability. In the five trials, you drew a total of 236 tiles, and a total of 75 blue tiles. So the experimental probability of drawing a blue tile is 75/236, or about 31.86%.

Comparing the theoretical probability and the experimental probability, we can see that the experimental probability is greater than the theoretical probability. The difference between the two probabilities is about 4.06 percentage points, so the answer is (c).

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Answer:

Yes

Step-by-step explanation:

You can find angles with the Side-Side-Side (SSS) theorem. The SSS theorem states that if three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent and their corresponding angles are also equal. Hope this helps!

The amount of Indian rupees that I would be able to receive when $13 is exchanged would be = 601.2 Indian rupees.

Local currency exchange is defined as the exchange of a money currency from its local form to another form which depends of its current exchange rate.

From the expression given;

62.4d -210

Where d = $13

= (62.4× 13 )-210

= 811.2- 210

= 601.2

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The equations that show the properties of the exponenets are a, c and d

We know that there are certain properties that are common to the numbers that appear in the exponential form. We shall look at some of those properties.

1) when we have;

(ab)^x, it is the same as a^x b^x

2) When we have b^2 * b^x, it is the same as b^2 + x

3) When we have; x^-2, it is the same as 1/x^2

These are the basics of the properties of the exponents as we can see in the question and these obey the properties of the exponents.

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Answer:

a)6.4x 10^-4 (b)1.40068493150 x10^3

Step-by-step explanation:

multiply 0.0064 by 10000 and as it is going from a smaller number to a bigger number it is 10 to the negative power of 4

b)place into a calculator and devide the number untill u get a number between 1 and 9

Answer:247.74

Step-by-step explanation:

use a calculator

The value of the sales tax will be 1.21. Sales tax is a fee that is charged in addition to the cost of products and services. We have to use basic percentage mathematics concepts.

Let's first try to understand what is sales tax.

The government levies a consumption tax known as a sales tax on the purchase of goods and services. At the point of sale, a standard sales tax is imposed, collected by the shop, and paid to the government. A company is liable for sales taxes in a particular jurisdiction if it has a nexus there, which, depending on the local rules, can be a physical location, an employee, an affiliate, or some other presence.

Sales taxes typically take a portion of the cost of the items sold. For instance, a city's residents might pay a total of 7.5% in sales taxes if the state levies a 4% rate, the county 2%, and the city 1.5%. However, frequently certain things—like food—are exempt or are exempt if they fall below a specific amount, such as apparel purchases under $200. Additionally, many products are subject to additional taxes known as excise taxes. A type of excise tax known as a "sin tax" is the $1.50 municipal excise tax that New York City imposes per pack of 20 cigarettes in addition to the $4.35 state excise tax.

In this Question, The bill before tax and tip was $17.35.

Sales tax of 7% added.

7% of  $17.35 = 7 * 17.35/100 = 1.2145

The nearest cent value will be 1.21.

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The sales tax was $1.22 and the total amount of the bill including the tip was $18.57.

The total cost of the meal before tax and tip was $17.35. The sales tax rate for the area was 7%. To calculate the sales tax, we must first determine the pre-tax cost of the meal multiplied by the tax rate.

Formula:

Sales Tax = Pre-tax cost × Tax Rate

Calculation:

Sales Tax = $17.35 × 0.07

Sales Tax = $1.22

This means that the sales tax amount was $1.22. Vani tipped 18% on the amount after the sales tax was added. To calculate the total amount of the bill after tip, we must first add the sales tax to the pre-tax cost of the meal.

Formula:

Total Cost = Pre-tax cost + Sales Tax

Calculation:

Total Cost = $17.35 + $1.22

Total Cost = $18.57

We can then calculate the tip amount by multiplying the total cost of the meal by the tip rate.

Formula:

Tip = Total Cost × Tip Rate

Calculation:

Tip = $18.57 × 0.18

Tip = $3.35

Therefore, the sales tax was $1.22 and the total amount of the bill including the tip was $18.57.

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By using the substitution approach and resolving the variable x, the equations Y=4x - 11 and Y= -3x + 10 are each solved as x,y = 2,3.

Using the equal symbol (=) to indicate equivalence, a mathematical equation is a formula that joins two statements. An equation in algebra is a statement of mathematics proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for example, the equal sign places the variables 3x + 5 and 14 apart. The relationship between two sentences on either side of a letter is described by a mathematical formula. A single variable, which also serves as the symbol, is frequently present. like in 2x - 4 = 2, for instance.

given

Solve equation [2] for the variable  y

 y = 6x - 9

variable  y  ...... equation [1]

  4x + (6x-9) = 11

  10x = 20

Solve equation [1] for the variable  x

10x = 20

  x = 2

   y = 6x-9

y = 6(2)-9 = 3

By using the substitution approach and resolving the variable x, the equations Y=4x - 11 and Y= -3x + 10 are each solved as x,y = 2,3.

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[tex]\it \begin{cases}\it y=4x-11\\ \\ \it y=-3x+10\end{cases}\ \Rightarrow 4x-11=-3x+10 \Rightarrow 4x+3x=10+11 \Rightarrow 7x=21\Rightarrow \\ \\ \\ \Rightarrow x=3;\ \ \ y=4\cdot3-11=12-11=1\\ \\ S=\{(2,\ \ 1)\}[/tex]

Their monthly income of George is 57,600.

A percentage is a figure or ratio that can be stated as a fraction of 100. If we need to calculate the percentage of a number, we must divide it by its full value and then multiply it by 100. As a result, the percentage is one part in one hundred. "Per 100" is short for "per percent." It is represented by the symbol "%".

Given spends of George from monthly income,

let monthly income be x

spends on food = 5/8 of salary

spends on food = 5x/8

amount left = x - 5x/8 = 3x/8

spends on fees = 1/6 of remainder

spends on fees = 1/6 × 3x/8 = x/16

amount left = 3x/8 - x/16 = 5x/16

spend on contingencies = 2/3 of remainder

spend on contingencies = 2/3 × 5x/16

spend on contingencies = 5x/24

amount left = 5x/16 - 5x/24 = 5x/48

amount left = 6000 = 5x/48

x = (6000×48)/5

x = 57,600.

Hence monthly income is 57,600.

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George's monthly salary is 57600

A fraction represents a numerical value, which defines the parts of a whole. the fraction can be a portion of any quantity out of the whole thing and the whole can be any specific things or value.

The basics of fractions explain the top and bottom numbers of a fraction. The top number represents the number of selected or shaded parts of a whole whereas the bottom number represents the total number of parts.

Let monthly salary of George be x.

Given, Money spend on food = 5/8th of salary = 5/8x

Remaining salary = x - 5x/8 = 3x/8

Amount on school fees = 3x/8 × 1/6 = x/16

Remaining amount = 3x/8 - x/16 = 5x/16

Amount on contingencies = 5x/16 × 2/3 = 5x/24

According to the question

5x/8 + x/16 + 5x/24 + 6000 = x

(30x + 3x + 10x) /48 +6000 = x

43x /48 + 6000 = x

x-43x/48 = 6000

48x - 43x = 6000 × 48

5x = 288000

x = 57600

George monthly salary = 57600

Hence, George get a monthly salary of 57600

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Answer:

7 5/12 hope this helps:)

Step-by-step explanation:

(you can use ph0t0math for these types of questions)

The area of the path as a function is A(x) = (4x²+80x) square meters.

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

Given:

A pool measuring 28 meters by 12 meters is surrounded by a path of uniform width, as shown in the figure.

To express the area of the path, A, in square meters, as a function of its width, x, in meters:

The area of the path

A(x) = (12+2x)(28+2x) - (28 × 12)

A(x) = 4x²+56x+24x+336 - 336

A(x) = (4x²+80x) square meters.

This is a quadratic function.

Therefore, (4x²+80x) square meters are the area of the path.

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