Solve x - 5y = 6 for x.

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

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.

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

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

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Answer:

11

Step-by-step explanation:

3(3-1)2+2(3)-7 = 3(2)2+6-7 = 12-1 = 11

By using a trigonometric relation, we will see that the stari is 23.3ft high up the wall.

Think of a right triangle with an hypotenuse that measures 24 ft (like the length of the ladder) and we know the angle opposite to the cathetus that represent the height, which is 76°.

Then we can use the trigonometric relation:

sin(a) = (opposite cathetus)/(adjacent cathetus)

Replacing the values that we know:

sin(76°) = H/24ft

24ft*sin(76°) = H = 23.3ft

The star is 23.3ft high up the wall.

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Therefore , the solution of the given problem of slope comes out to be

m = -5.

A line's slope determines how steep it is. A gradient-based equation has a phenomenon called a gradient overflow. The slope is determined by dividing the average of the run (horizontal difference) between two points by the rise (vertical difference) between those same two points. The hill variety of an equation, represented by the notation y = mx + b, is used to model the fixed path issue. The point in which the grade is m, a = b, and the line's y-intercept is located (0, b). For the trigonometric formula y = 3x - 7, the slope y and una are as follows: (0, 7). The y-intercept is situated when the slope of the line is m and b.

Here,

Given :

Points in the graph where line touches on x and y axes

So,

Point = (1,11) and (3,1)

Thus ,

By using slope formula :

=> m = y2 -y1 /x2-x1

=> m = 11 -1 / 1-3

=> m = 10/-2

=> m =-5

Therefore , the solution of the given problem of slope comes out to be

m = -5.

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The distance around the track is the perimeter of the given shape which would be = 572.36

Perimeter of an area or an object is the total distance around that area or object.

The shape can be disintegrated as 2 semi circles(a circle) and a square.

The perimeter of a circle = 2πr

where r = 37

π = 3.14

perimeter = 2×3.14 × 37 = 232.36meters

Perimeter of square = 4 ×a

where a = 85

perimeter of square = 4×85 = 340

Therefore the distance round the track = 232.36+340= 572.36

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Angela makes 150 necklaces on average each month making necklaces for 2.5 hours each day.

What is an average of given data?

An average of a list of data is a mathematical expression for the centre value of a set of data. It is defined mathematically as the ratio of the total of all the data to the number of units in the list. In statistics, the average of a particular collection of numerical data is also known as the mean.

for e.g.

The average of 2, 3, and 4 equals (2+3+4)/3 = 9/3 = 3. As a result, the central value of 2,3, and 4 is 3. Thus, the definition of average is to determine the mean value of a set of data.

Now,

Angela works 20 days in a month making necklaces for 2.5 hours each day

so, Total hours she worked = 20*2.5

                                              = 50 hours

She makes 3 necklaces in an hour

Hence,

Necklaces made by her on average in a month = 50*3

                                                                       =150/month

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Answer:

Step-by-step explanation:

Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function. (They can also arise in other contexts, such as logarithms, but you'll almost certainly first encounter asymptotes in the context of rationals

The total of the measurements of the two non-adjacent internal angles of a triangle determines the size of its exterior angle.

The angle created when a transversal cuts one of two lines and is located outside of the line. It describes the angle between a side of a polygon and an expanded neighboring side.

Exterior angles are those that run parallel to a polygon's inner angles but are located outside of it. The sum of the two internal opposed angles determines the size of an outside angle.

The angle between any side of a form and a line that extends from the next side is known as the exterior angle. The result of adding the interior and outside angles is a 180° straight line. "Supplementary Angles" is what they are.

The total of the measurements of the two non-adjacent internal angles of a triangle determines the size of its outer angle.

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For the given, CP and SP, Loss = 200 and Loss % = 10/3%.

If a product's cost price is higher than its selling price, the business of the company is said to be losing money; yet, if the product's cost price is lower than the price at which it is being sold, the business may be making money. Loss % = 100 x Loss/CP.

Loss is equal to Cp - Sp (Cp > Sp). where S.P. is the sale price at which the product has been sold to the customer and C.P. is the actual price of the good or commodity.

Loss = CP - SP

Loss = 6000 - 5800

Loss = 200

Loss% = Loss / CP × 100

Loss % = 200 / 6000 × 100

Loss % = 10/3%

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Complete question:

What is Loss percentage when CP= Rs. 6000, SP= Rs. 5800!?

The value of 6315 ×41 is 260391.

Multiplication is a method of finding the product of two or more numbers

We have to find the product of 6315 times of forty one

 6351

×     41

_______

    6351

25404+

__________

260391

Hence, the value of 6315 ×41 is 260391.

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Joe needs to add x ≥ 20 lbs to bench at least 220 lbs

A linear inequality compares two values. All the ordered pairs that make the linear inequality a true statement exist on one side of the linear equation, which we get by replacing the inequality sign with the equal sign.

Given,

Joe benches maximum of 200lbs

y ≤ 200

multiplying with -1

- y ≥ - 200      -----(1)

he wants to reach at least 220lbs

y' ≥ 220       -----(2)

To reach at least 220 lbs,

Let he needs to add x lbs at max

x = y' - y

Adding inequalities (1) and (2)

y' - y ≥ 220 - 200

⇒ x ≥ 20

Hence, x ≥ 20 lbs weight should be added to reach at least 220 lbs bench-press.

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Answer:

proportional

Step-by-step explanation:

test = 100%

Answer: The correct answer is that it is proportional?

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

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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The first step to solve the equation -1/2(x+4) = 6 is to multiply both sides by -2

A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line.

The equation -1/2( x+4) = 6 is an example of linear equation. It is a linear equation with one variable and x is the variable.

The equation -1/2(x+4) = 6

multiply both sides by -2

-1/2( x+4) ×-2 = 6 ×-2

x+4 = -12

collect like terms

x= -12-4

x = -16

therefore the first step to solve the equation is to multiply both sides by -2

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Answer: s=1

Step-by-step explanation:

Answer:

y = 3x

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 ) = (1, 3 )

m = [tex]\frac{3-(-6)}{1-(-2)}[/tex] = [tex]\frac{3+6}{1+2}[/tex] = [tex]\frac{9}{3}[/tex] = 3 , then

y = 3x + c ← is the partial equation

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

using (1, 3 ) , then

3 = 3(1) + c = 3 + c ( subtract 3 from both sides )

0 = c

y = 3x + 0 , that is

y = 3x ← equation of line

Answer:

hi (●’◡’●)ﾉ blablablablablablablabla

Answer:

6/8 - 3/10 < 3/10 + 5/8

Step-by-step explanation:

6/8 - 3/10 ⭕️. 3/10 + 5/8

60/80 - 24/80 ⭕️ 24/80 + 50/80

36/80 < 74/80

So, the answer is

6/8 - 3/10 < 3/10 + 5/8

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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Answer:

O-6-(-4)

Step-by-step explanation:

The expression O-6-(-4) is modeled by the number line. To evaluate this expression, we simplify the parentheses first. Since -4 is inside parentheses with a negative sign in front, we change the sign to positive: O-6-(+4). Then we perform the subtraction: O-(6+4) = O-10. This means that the point O is 10 units to the right of the point (-10) on the number line.

Answer: -5x^2 + 2

Step-by-step explanation:

The required figure shows the square of a square unit and rectangle with a length of 6 times the side of the square and a width of 3 times the side of the square.

The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.

here,
Wesley covered this figure with the unit square shown to find the area. The length of the rectangle is approximately 6 times as long as the side of the square, and the width of the rectangle is approximately 3 times as long as the side of the square.

Area of square = 1 unit²  [side  = 1 unit]
Area fo the rectangle =  [1 ×6] × [1×3] = 18 unit²

Thus, the required figure shows the square of a square unit and rectangle with a length of 6 times the side of the square and a width of 3 times the side of the square.

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The answer choice which represents an angle which is co-terminal with the given angle 40° is; -320 degrees.

It follows from the task content that the answer choice which represents an angle which is co-terminal with 40° is to be determined.

Co-terminal angles are related such that if x and y are co-terminal angles;

x = y - 360°n

where n represents integer values.

On this note, the angle which is co-terminal with 40° is;

x = 40° - 360°

x = -320°.

Hence, the answer choice which represents an angle that is co-terminal with 40° is; -320°.

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The number of solutions to the equation y = ( 7/10 )x + 6y is infinite number of solutions as the equations are the same

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first equation be represented as A

Now , the value of A is

y = ( 7/10 )x + 6y   be equation (1)

Let the second equation be represented as B

The value of B is

y = ( 7/10 )x + 6y   be equation (2)

Now , on simplifying both the equations , we get

equation (1) = equation (2)

Substituting the values in the equation , we get

( 7/10 )x + 6y = ( 7/10 )x + 6y

So,  the system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept.

Hence , the number of solutions to the equations are infinite

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

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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On solving the provided question, we can say that the surface area of the figure 7 =  155sq units

An indication of the overall space occupied by an object's surface is its surface area. A three-dimensional shape's surface area is the total amount of space that surrounds it. A three-dimensional shape's entire surface area is known as its surface area. The surface area of a cuboid with six rectangular faces may be calculated by adding the areas of each face. As an alternative, you may use the formula below and name the box's dimensions as follows: Surface (SA) = 2lh + 2lw + 2hw. Surface area is a measurement of the entire amount of space filled by a three-dimensional shape's surface (a three-dimensional shape is a shape that has height, width, and depth).

here,

the surface area of the figure 7 =

area of square + 2*area of rectangle =

3*3 + 2*9*8 = 9 + 144 = 155sq units

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

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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