please help me thankswhat is the relationship between

Answer:

Step-by-step explanation:

Graph the inequalities and plot the points.

See attached.

As we see, the solution is the option B, point (3, 2). All the other points are either outside or on the dashed line.

Graph attached

Second one should be 2x+2y>2

The building in the drawing is 700 centimeters or 7 meters.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

An ordered pair of integers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you might express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.

Given 3 meters on real is equal to 7 centimeters on drawing

i.e. 3 meters=7 centimeters

or, 1 meter = 7/3 centimeters

We need to find reading for 300 meters so,

or, 300 meters=7/3*300 centimeters

                        =700 centimeters or 7  meters

Therefore the building in the drawing is 700 centimeters or 7 meters.

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Ali's strategy is essentially the same as Mary's strategy. Both strategies estimate the HST as 15% of the price. However, Mary's strategy involves taking half of 10% of the price.

Mary suggests estimating the HST in Ontario as finding 10% of the price, taking half of this answer and adding the two. Ali proposes finding 10% of the price, then 5% of the price and adding the two answers.

Their strategies differ in the way they approach finding the estimate, but both methods can be used to arrive at the same result.

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The HST in Ontario is 13%, which can be estimated using 15%. Mary tells Ali that it can be estimated as: find 10% of the price, take a half of this answer and add the two. Ali tells Mary that he thinks they should find 10% of the price, then 5% of the price and add the two answers. Compare their strategies.

Answer:

x=3

Step-by-step explanation:

24÷3=8

39÷3=13

The number of sodas sold at the baseball game was 119, while the number of hot dogs sold was 72.

Let's assume the number of sodas sold as 'x' and the number of hot dogs sold as 'y'.

According to the problem, the total number of sodas and hot dogs sold is 191, so we can write the equation:

x + y = 191   ...(1)

The problem also states that the number of hot dogs sold was 47 less than the number of sodas sold. Mathematically, we can express this as:

y = x - 47   ...(2)

To find the values of x and y, we can solve the system of equations (1) and (2). Substituting equation (2) into equation (1), we have:

x + (x - 47) = 191

Simplifying the equation:

2x - 47 = 191

2x = 191 + 47

2x = 238

Dividing both sides by 2:

x = 238/2

x = 119

Substituting the value of x back into equation (2):

y = 119 - 47

y = 72

As a result, the total amount of sodas sold is 119, and the total amount of hot dogs sold is 72.

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Answer

g(x) moves 4 spaces to the left compared to f(x),  

when g(4)=0  when f(0)=0

when g(3)=1   when f(-1)=1

...

and so on

The answer to the sum is: ∑ k⁴ (k  ranges from 1 to 6)

Express the sum in sigma notation :

According to the question,

1 = lower limit of summation

k = the index of summation

1 + 16 + 81 + 256 + 625 + 1296 = 1² + 4² + 9² + 16² + 25² + 36²

                                                 = 1⁴ + 2⁴ + 3⁴ + 4⁴ + 5⁴ + 6⁴ ( i.e 16 = 4²=(2²)²)

                                                 = ∑ k⁴ (k ranges from 1 to 6)

 So, The answer to the sum is - ∑ k⁴ (k ranges from 1 to 6).    

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The values of a and b are 1/4 and 1/5 respectively

The function is given as:

16x^2 - 25y^2 = 1

The above function is a horizontal hyperbola.

A horizontal hyperbola that passes through the origin is represented as:

\(\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1\)

Rewrite 16x^2 - 25y^2 = 1 as

\(\frac{x^2}{1/16} - \frac{y^2}{1/25} = 1\)

By comparison, we have:

\(a^2 = \frac{1}{16}\)

\(b^2 = \frac{1}{25}\)

Solve for  a and b

\(a = \frac{1}{4}\)

\(b = \frac{1}{5}\)

Hence, the values of a and b are 1/4 and 1/5 respectively

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Answer:

Therefore, -2.6 is the slope.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

Step-by-step explanation:

The break-even point is the point at which income equals expenses.

Let that number of books sold be x

Printing costs = 13200 + 25x

Book sale = 40x

At break-even, the printing costs is the same as book sale.

13200 + 25x = 40x

15x = 13200

x = 13200/15 = 880

Let that be x

\(\\ \rm\Rrightarrow 13200+25x=40x\)

\(\\ \rm\Rrightarrow 40x-25x=13200\)

\(\\ \rm\Rrightarrow 15x=13200\)

\(\\ \rm\Rrightarrow x=13200/15\)

\(\\ \rm\Rrightarrow x=880\)

After 36 minutes of calls, when the function returns a line with a slope of -0.13, there will be $27.56 credit.

Mathematics deals with numbers and their variants, equations and related structures, shapes and their locations, and locations where they might be found. A function is an association between inputs and outputs where each input results in a single, unique output. A domain and a codomain, or scope, are assigned to each function. Functions are typically denoted by the letter f. (x). The input is an x. On functions, one-to-one functions, many-to-one functions, within functions, and on functions are the four main categories of functions that are available.

given

Assume that the total calling time is a linear function of the credit left on a phone card (measured in dollars) (in minutes).

m(call time) + b = credit

The function produces a line with a slope of -0.14 when graphed.

After 43 minutes of calls, the card's balance is $26.02 left.

After 32 minutes of calls, there was 26.02 = -0.14(43) + b b = 26.02+6.02 b = 32.04 C(x) = -0.14x+32.04

credit?

C(32) = -0.14(32) + 32.04\sC(32) = $27.56

After 36 minutes of calls, when the function returns a line with a slope of -0.13, there will be $27.56 credit.

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Answer:

Step-by-step explanation:

f(x)=x+1

then,

   f(-5)=(-5)+1

         =-4

......,,........,.....-.......

The median would best describe the centre of the distribution for a highly skewed right histogram of US household income.  The correct option is A.

The median is the value that separates the distribution into two equal parts and is less influenced by extreme values than the mean.

Since a highly skewed right distribution has a long tail on the right side, the mean is likely to be pulled towards that tail, making it an unreliable measure of the centre.

The mode, or most frequently occurring value, may not be useful for describing the centre of a skewed distribution. The variance is a measure of the spread or dispersion of the data, not its centre.

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Answer:

A customer asks for two money orders. The first is for the amount of $637.24 and the second

is for $25.76. If there is a $1.00 charge for each money order, what is the total amount the

customer would owe you?

A customer asks for two money orders. The first is for the amount of $637.24 and the second

is for $25.76. If there is a $1.00 charge for each money order, what is the total amount the

customer would owe you?

Making a the subject of formula in this equation t + a/n = f gives a = nf - nt.

In this exercise, you are required to make "a" the subject of the formula in the given mathematical expression by using the following steps.

By subtracting the variable "t" from both sides of the equation, we have the following:

t + a/n - t = f - t

a/n = f - t

By multiplying both sides of the mathematical expression by n, we have the following:

n × a/n = (f - t) × n

a = (f - t)n

a = nf - nt

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Answer:

4x² + 24x + 36

Step-by-step explanation:

(2x + 6)² = (2x + 6)(2x + 6) = 4x² + 12x + 12x + 36 = 4x² + 24x + 36

Answer:

\(-\frac{x^3}{27y^6} \)

Step-by-step explanation:

One rule of exponents: anything to the zero-th power is 1

This turns the expression into just:

\((\frac{1}{-3x^{-1}y^2} )^3\)

Then, we can utilize another rule that states: any negative exponents can be expressed on the opposite side of a fraction, but with a positive exponent. Using this rule, the expression becomes:

\((-\frac{x}{3y^2} )^3\)

After this, and cubing the expression (when taking exponents to a certain power, the exponents are multiplied and constants are raised to the power:

\(-\frac{x^3}{27y^6} \)

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Answer:

71.8962°

Step-by-step explanation:

In order to find the angle given 2 sides, you need to identify the 2 sides with the given measure.

Since we need to find X, the 2 sides are 52 (the opposite side) and 17 (the adjacent side)

The only way to find X with an opposite and adjacent side is by using tan.

In order to find the angle, you will need to use the tan^-1 (52/17)

That will give you 71.8962°

Answer:

x = 71.9°

Step-by-step explanation:

The given diagram shows a right triangle with an unknown angle, x.

We have been given the measures of the sides that are opposite and adjacent the unknown angle. Therefore, we can use the tangent trigonometric ratio to find the value of x.

\(\boxed{\begin{minipage}{7 cm}\underline{Tangent trigonometric ratio} \\\\$\sf \tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle.\\\end{minipage}}\)

The unknown angle is x, so θ = x.

The side opposite the angle measures 52 units, so O = 52.

The side adjacent the angle measures 17 units, so A = 17.

Substitute the values into the ratio and solve for x:

\(\tan x=\dfrac{52}{17}\)

     \(x=\tan^{-1}\left(\dfrac{52}{17}\right)\)

     \(x=71.8962369...\)

     \(x=71.9^{\circ}\; \sf (nearest\;tenth)\)

Therefore, the value of x is 71.9°.

Answer:

He will is able win

Step-by-step explanation:

Answer:

he is able to win

Step-by-step explanation:

Answer:

Step-by-step explanation:

a² + b² = c²

a² + 9² = 12²

a² + 81 = 144

a² = 63

a = √63

The algebraic expression for the area is:

A = (2H - 8)*H/2

Here we want to write the expression:

"the area of a triangle that has a base 8 inches less than 2 times wider than the height."

Remember that for a triangle of base B and height H, the area is:

A = B*H/2

So if the base is 8 inches less than 2 times the height, we can write:

B = 2*H - 8

Replacing that in the area equation we get:

A = (2H - 8)*H/2

That is the equation for the area.

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Answer:

The rate is 5 dollars per student.

Step-by-step explanation:

The rate per student can be found with \(\frac{dollars}{student}\):

\(\frac{150dollars}{30student}=5\frac{dollars}{student}\\\\\frac{350dollars}{70student}=5\frac{dollars}{student}\)

The rate is 5 dollars per student.

Answer: The range is 20, Standard Deviation, σ: 6.8702256149271

Step-by-step explanation:

I hope it helped!

<3

It is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in
the graph intersecting the x- or y-axis at a different point.

Function is an operation that takes an input, performs some processing on it, and returns a result. It is a set of instructions that performs a specific task. Functions are typically used to perform repetitive tasks, like finding the sum of two numbers, adding two strings together, or finding the maximum of a list of numbers. Functions are essential to programming and can be used to make code more organized, reusable, and efficient.


The function f(x) = x is the parent function for linear equations. This equation is generally used to graph a line with a slope of 1 and a y-intercept of (0, 0). In order to translate this parent function, different transformations are applied to it.

A vertical translation down 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function down 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, -4).

A horizontal translation right 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function right 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (4, 0).

A horizontal translation left 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function left 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (-4, 0).

Finally, a vertical translation up 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function up 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, 4).

In conclusion, it is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in the graph intersecting the x- or y-axis at a different point.

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Both are supplementary angles so their sum will be 180°

\(\\ \sf\longmapsto -2x+54=142\)

\(\\ \sf\longmapsto -2x=142-54\)

\(\\ \sf\longmapsto -2x=88\)

\(\\ \sf\longmapsto x=\dfrac{-88}{2}\)

\(\\ \sf\longmapsto x=-44\)

Answer:

Answer:THE ANSWER IS 8 I HOPE IT WILL HELP YOU A LOT.

The equation of logarithm are solved and

a) A = 2 + 3 log x + 4 log b

b) B = ( 36 + x + y ) ( log 6 )

c) C = ( 1/2 )x log 5

d) D = ln ( x⁴ / y² )

Given data ,

Let the logarithmic equation be represented as A

Now , the value of A is

a)

A = 2 log 10 + 3 log x + 4 log b

The base of the logarithm is 10 , so

A = 2 + 3 log x + 4 log b

b)

B = log 6³⁶ + log 6ˣ - log 6^ ( y )

From the properties of logarithm , we get

log A + log B = log AB

log A − log B = log A/B

log Aⁿ = n log A

B = 36 log 6 + x log 6 + y log 6

On taking the common term , we get

B = ( 36 + x + y ) ( log 6 )

c)

C = ( 1/2 )log 5ˣ

From the properties of logarithm , we get

C = ( 1/2 )x log 5

d)

D = 4 ln x - 2 ln y

From the properties of logarithm , we get

D = ln x⁴ - ln y²

On further simplification , we get

D = ln ( x⁴ / y² )

Hence , the logarithmic equations are solved

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Answer:

the answer is the x-intercepts are about(0,-6) and (0,2) hope this helps

Step-by-step explanation: