Check which of the following are the solutions of the equation 5x – 4y = 20.(i) (4, 0)(ii) (0, 5)(iii) (-2,5/2)(iv) (0, –5)(v) (2,-5/2)

Hello,

I hope you and your family are doing well!

To find the point and slope given by the equation y + 2 = -7(x-1), we can start by rearranging the equation to solve for y:

y + 2 = -7(x-1)

y = -7(x-1) - 2

y = -7x + 7 + (-2)

y = -7x - 9

This is the slope-intercept form of the equation, where y = -7x - 9 is the slope and (-9, 0) is the y-intercept.

The slope of the line is -7, and the point on the line is (-9, 0).

Therefore, the point and slope given by the equation y + 2 = -7(x-1) are (-9, 0) and -7, respectively.

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The day worker's daily compensation is $160, while the concrete finisher's daily wage is $143.

A matrix is a numerical arrangement that is divided into rows and columns. Introduce yourself to matrices and learn about their dimensions and elements. A matrix is a rectangular array of integers divided into rows and columns. Matrix A, for example, contains two rows and three columns. A matrix is a collection of integers that are organized in rows and columns to form a rectangular array. The numbers are referred to as matrix elements or entries. Matrices are widely used in engineering, physics, economics, and statistics, as well as in many disciplines of mathematics.

Here,

Let x be the Charge for day labor and y be the charge for concrete finisher,

8x+2y=1464

x+5y=943

multiply x+5y=943 by 8,

8x+40y=7544

8x+2y=1464

subtracting them,

38y=6080

y=$160

x+5*160=943

x=943-800

x=$143

The daily wage for day worker is $160 and the daily wage for concrete finisher is $143.

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Answer: 22 = a - 295

Step-by-step explanation:

"equals" means equals or the solution and can be shown with the equal sign.

"reduced by" also means subtracted by and can be shown as the minus sign.

I hope this helps :)

The retail price of the driver of the clubs after will be $400.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

A golf store buys a driver at a discount cost of $200. Mr. Nganga discovered that the driver was increased by 100 percent.

The retail price of the clubs will be given as,

⇒ $200 x (1 + 100%)

⇒ $200 x (1 + 1)

⇒ $200 x 2

⇒ $400

The retail price of the driver of the clubs after will be $400.

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[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{x - y^2}\\\mathsf{= 3 - (-5)^2}\\\mathsf{= 3 + \bf 5^2}\\\mathsf{= 3 + \bf 5\times5}\\\mathsf{= 3 + \bf 25}\\\mathsf{= 28}\\\\\huge\text{Therefore, your answer should be: \boxed{\textsf{28}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer: answer below

Step-by-step explanation:

4 (a). 900 grams of flour
work 150x6=900 grams

4 (b). 3 large eggs
work 450÷150=3
5 (a). 2.99

work 11.96÷4=2.99

5 (b). 26.91

work 2.99x9=26.91

6 (a). Can't help
6 (b). 6:12
6 (c). 16:8
6 (d). 10 paws

Can't help on problem 7

The number of seconds the ball has gone by when the ball is at its highest point is 1 second

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we have the following axis label

The highest point on the graph is the vertex of the graph

In this case, the point is

(t, h) = (1, 4.9)

Remove the h-coordinate

t = 1

This means that the time is 1 second

Hence, the ball has gone by 1 second when the ball is at its highest point

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The value of the notation Δy from the points (-3,-5) and (0,10) is 15

The complete question is added at the end of this solution

From the question, we have the following parameters that can be used in our computation:

Points = (-3,-5) and (0,10)

Rewrite the above points properly

So, we have the following ordered pairs

(x, y) = (-3,-5) and (0,10)

The notation Δy represents the change in the y values of the given points

This notation can be extended to calculate the slope of the points

The slope of the line is then calculated using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (-3,-5) and (0,10)

Substitute the known values in the above equation

So, we have the following equation

Slope = (10 + 5)/(0 + 3)

Evaluate the sum

Slope = 15/3

The numerator represents Δy

i.e. Δy= 15

Evaluate the quotients

Slope = 5

Hence, the slope of the line is 5 and the value of the notation Δy is 15

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Complete question

Using the given points, determine Δy

Type a numerical answer in the space provided.

(-3,-5) and (0,10)

The dinner party needs 400 pieces of silverware for 10 tables and 8 seats at each table. By evaluating the given expression, we get the required value.

The given expression is,

A dinner party with tables t' and seats at each table 's' needs "5ts" pieces of silverware.

I.e., number of pieces of silverware = 5ts

Thus, the given expression gives the required value.

If Aaron is planning for a dinner party with t = 10 tables and s = 8 seats at each table, then the number of pieces of silverware required for the dinner party is

5ts = 5 × 10 × 8 = 40 × 10 = 400

Therefore, it needs 400 piece of silverware.

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The current population density  is 125 people / square kilometers.

Given :

plumeria island is an island in the indian ocean. the island is 4,000 square kilometers in size. currently, 500,000 people live there. last year, 150,000 children were born and 50,000 people immigrated. 100,000 people died and 10,000 emigrated. it is believed that the island could support up to 350 people per square kilometer.

Total people =  500000

Area = 4000 square kilometers

we know that ,

Population density = total people / area

= 500000 / 4000

= 500 / 4

= 125

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Number of ways can this company buy them is 1623160.

Given :

a store is selling laptops with six different operating systems. a company would like to buy 35 of those laptops for their employees.

Number of ways = [tex]35_C_6[/tex] or C ( 35 , 6 )

we know that ,

C ( n , r ) = n! / ( n - r ) ! r!

substitute

= 35 ! / ( 35 - 6 ) ! 6!

= 35 * 34 * 33 * 32 * 31 * 30 * 29! / 29! * 6!

= 35 * 34 * 33 * 32 * 31 * 5 / 5 * 4 * 3 * 2 * 1

= 35 * 17 * 33 * 32 * 31 / 4 * 3

= 35 * 17 * 11 * 8 * 31

= 1623160 ways

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The improper fraction of the mixed fraction 1  1 / 4 is 5 / 4.

An improper fraction has a numerator greater than the denominator. In other words, Improper fractions are defined as fractions for which the numerator is greater than the denominator.

The fraction is in mixed fraction, 1 1 / 4 .

A mixed fraction is defined as a fraction formed by combining a whole number and a fraction.

Hence, let's convert the mixed fraction to improper fraction.

Therefore,

1 1 / 4 = 5 / 4

Therefore, the improper fraction is 5 / 4.

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Answer:

12

Step-by-step explanation:

Using the side splitter theorem, [tex]\frac{x}{32}=\frac{9}{24} \implies x=12[/tex].

We can conclude that 2187π/4 is the required S curl F.ds using Stokes' Theorem.

According to Stoke's theorem, where C = A closed curve, "the surface integral of the curl of a function across a surface limited by a closed surface is equal to the line integral of the particular vector function over that surface."

S = Any surface bordered by C.

So, by utilizing Stokes Theorem to calculate S curl F .dS.

[tex]\iint_s c u r l F \cdot d s=\int_c F d r[/tex]

Parameterize C now.

r(t) = (3 cos t, 3 - 3 sin t)

When t is in [0 2].

Now,

[tex]\begin{aligned}& \int_c F \cdot d r=\int_0^{2 \pi} F(3 \cos t, 3-3 \sin t) \cdot r^{\prime}(t) d t \\& =\int_0^{2 \pi}\left(\left(9 \cos ^2 t\right)(27)(-3 \sin t),(\sin t) \times(-27 \cos t \cdot \sin t) \cdot(-3 \sin t, 0-3 \cos t) d t\right. \\& =27 \int_0^{2 \pi} 81 \cos ^2 t \cdot t \sin ^2 t+3 \cos ^2 t . t \sin t d t \\& =27 \int_0^{2 \pi} \frac{81}{4} \sin ^2 2 t+27\left[-\cos ^3 t\right]_0^{2 \pi}\end{aligned}[/tex]

[tex]\begin{aligned}& =27 \times \frac{81}{4} \int_0^{2 \pi}\left(\frac{1-\cos 4 t}{2}\right) \\& =\frac{2187}{8}\left[t-\frac{1}{4} \sin 4 t\right]_0^{2 \pi} \\& =\frac{2187}{8}\left[2 \pi-\frac{1}{4} \sin 4(2 \pi)-0-\frac{1}{4} \sin 4(0)\right] \\& =\frac{2187 \pi}{4}\end{aligned}[/tex]

Therefore, we can conclude that 2187π/4 is the required S curl F.ds using Stokes' Theorem.

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The difference between 5 hundreds 6 tens and 4 ones is the value of zeros after 1.

Each digit in a number has a unique place and value. A number might contain multiple digits. The first digit will be at the ones place, the second digit at the tens place, and the third digit at the hundreds place, starting from the right.

There are 10 tens in hundred.

5 hundreds= 5*100

6 tens =6*10

4 ones= 4*1

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The difference between 5 hundreds 6 tens and 4 ones is the value of zeros after 1.

Explain hundred, tens and ones.

Hundred, tens, and ones are a way of representing numbers in base 10. This means there are ten digits (0-9) used to represent all numbers. When counting in hundreds, tens, and ones, the number 100 is the largest number represented with one digit, followed by the numbers from 101 to 199. Tens are represented with two digits, such as 20, 30, 40, 50, and so on. Ones are single digits, such as 1, 2, 3, 4, and so on. This system of counting is used to represent all numbers, no matter how large or small.

How many tens are in hundred?
There are 10 tens in hundred.
5 hundreds= 5*100
6 tens =6*10
4 ones= 4*1

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A) D = 1/2[C]  = 1/2[-16]

B) Elevation of city D is -8 feet.

Answer is negative due to -8 feet below sea level.

What is elevation?

The elevation is the height above sea level. Typically, elevations are expressed in feet or meters. Maps can depict them using contour lines, which link points of the same elevation, color bands, or numbers that indicate the precise elevations of specific points on the surface of the Earth.

The elevation of city A is 60 feet below sea level
⇒ A = -60
The elevation of city C is 16 feet below sea level
⇒ C = -16                        

The elevation of city D is 1 over 2 of the elevation of city C.
⇒  D = 1/2[C]

Part A: Write an expression to represent the elevation, in feet, of city D.
⇒ D = 1/2[C]  = 1/2[-16]

Part B: Solve the expression and explain why the answer is negative or positive.              
⇒  D = 1/2[-16]
     D = -8
As a result Elevation of city D is -8 feet.
Here founded answer is negative due to -8 feet below sea level.

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We obtain x1=10 and x2=10 by solving the one-step matrix equation.

A matrix is a set of numbers arranged in rows and columns. Learn about the dimensions and components of matrices by starting your first introduction. A rectangular grid of numbers organized into rows and columns is known as a matrix. Matrix A, as an illustration, has two rows and three columns.

An arrangement of numbers, occasionally expressions and symbols, in rows and columns is called a matrix. Quantum mechanics, optics, mathematics, and other mathematical functions are all solved using matrix formulas.

Matrices are very expensive items that are used in a variety of applications. Matrix applications are employed in a variety of scientific disciplines in addition to mathematics.

x1 + (-2) = 8

x2 +( 5) = 15

solve 1

x1 - 2 = 8

On both sides of the equation, add 2.

⇒ x1 -2 + 2 = 8 +2

⇒ x1 =8 +2

⇒ x1 = 10

Equation 2 resolution

x2 + 5 = 15

On both sides of the equation, deduct 5

⇒x2 + 5 -5 = 15 - 5

⇒ x2 = 15 - 5

⇒ x2 = 10

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Answer:

The answer should be A.

Step-by-step explanation:

Answer: False

Step-by-step explanation:

Inequality #1: x + y ≤ 28

Inequality #2: 0.05x + 0.1y ≥ 2

Mav could have 5 nickles and 20 dimes.

    It's given that Mav has less than or equal to 28 coins, so we can write the following inequality:

       x + y ≤ 28

    We know that a nickel is work 0.05 and a dime is worth 0.1. Using the given information, the following inequality is true since the coins must be greater than or equal to $2 combined:

       0.05x + 0.1y ≥ 2

       Now, we will graph them. Both graphed lines will use solid lines since both include equal to. We will shade below #1 and above #2. I used Desmos Graphing Calculator, you can find it online for free. Once we type in our equations, we get the needed graph.

       The overlapping portion contains our possible solutions. There are many, but one possible solution is (5, 20), with 5 nickels and 20 dimes.

The factor of the given expression is (C) (x + 3).

In mathematics, a divisor of an integer n, often termed a factor of n, is an integer m that may be multiplied by some number to generate n.

In this scenario, one also asserts that n is a multiple of m.

A factor is a number that is multiplied by another number to produce the desired result.

A product is a solution to a multiplication problem.

Think of a multiplication problem as components being combined to find a product.

So, we have:

3x^3+18x^2+27x

Now, take the factors out as follows:

3x^3+18x^2+27x

3x(x²+6x+9)

3x(x+3)²

Factors:  (x + 3)

Therefore, the factor of the given expression is (C) (x + 3).

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Complete question;
Which of the following is a factor of 3x3 + 18x2 + 27x?

a. 9x

b. x3

c. x + 3

d. x - 3

Using Pythagoras theorem the side length of DH is 9cm

Pythagoras theorem states that “In a right-angled triangle,  the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.

To find the value of DH, we can use Pythagoras's theorem to find the length of HC

EC² = EH² + HC²

25² = 20² + HC²

HC² = 25² - 20²

HC² = 225

HC = √225

HC = 15

Using Pythagoras's theorem again, we can find DH

HC² = DC² + DH²

15² = 12² + DH²

DH = 9

The length of DH is 9cm

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In integration the bindefinite integral of 1/xlnx is

ln(|u|)+C=ln(|lnx|)+C with the aid of using parts, we've discovered whilst the specified formula.

The vital of the 2 capabilities are taken, with the aid of using thinking about the left time period as first feature and 2nd time period as the second one feature.

This technique is referred to as Ilate rule.The vital of xlnx is same to (x2/2) lnx - x2/4 + C, wherein C is the mixing constant. We can compare this vital the usage of the technique of integration with the aid of using parts.

We have the vital:

[tex]∫1xlnxdx

Use substitution. Let u=lnx so that du=1xdx . Note that each of those are presently gift withinside the vital.

∫1xlnxdx=∫(1lnx)1xdx=∫1udu

This is a not unusualplace vital:

∫1udu=ln(|u|)+C

Since u=lnx :

ln(|u|)+C=ln(|lnx|)+C[/tex]

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Answer: 6.3%

Step-by-step explanation:

No, this correspondence is not a function because a function is a relation between two sets of values in which each value of the first set corresponds to exactly one value in the second set.

In this case, there is no information given about the correspondence, so it is impossible to determine if it is a function or not.

A function is a special type of relation in which each value of the first set, sometimes referred to as the domain, is associated with exactly one value in the second set, called the range. A function must satisfy the property of functional uniqueness, meaning that each element of the domain is associated with exactly one element in the range. If a correspondence fails to meet this requirement, then it is not a function. Without knowing any more information about the correspondence, it is impossible to determine if it is a function or not.

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The average daily loss of Anthony's shop in April is $20.

The average daily loss is the total net profit (loss) divided by the number of days in April.

An average is the mean of the value in a data set, which is determined as the quotient between the total value and the number of items.

Days in April = 30

Daily profit in 12 days = $400

Daily loss in 18 days (30 - 12) = $300

Total daily profit = $4,800 ($400 x 12)

Total daily loss = $5,400 ($300 x 18)

Net daily loss = $600 ($5,400 - $4,800)

Average daily loss = $20 ($600/30)

Thus, in April, Anthony's shop incurred an average daily loss of $20.

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The solution for the expression 2^(x) − 2^(−x) = 5 is x = log2(10)

Substitute 2^(−x) for 5 and solve for x, which is log2(10).

The given expression ,

2^(x) − 2^(−x) = 5

2^(x) = 5 + 2^(−x)

2^(2x) = (5 + 2^(−x))^2

2^(2x) = 25 + 10*2^(−x) + 2^(−2x)

25 + 10*2^(−x) + 2^(−2x) = 2^(2x)

25 − 2^(2x) = 10*2^(−x) − 2^(−2x)

25 − 2^(2x) = 10*2^(−x) − 2^(−2x) + 2^(2x)

25 = 10*2^(−x) + 2^(2x) − 2^(−2x)

25 = 10*2^(−x) + 2^(−2x) (2^(2x) - 2^(−2x))

25/(2^(−2x) (2^(2x) − 2^(−2x))) = 10*2^(−x)

25/(2^(2x) − 2^(−2x)) = 10*2^(−x)

2^(x) = 10

x = log2(10)

Substitute 2^(−x) for 5 and solve for x, which is log2(10).

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Answer: r≈0.89

Step-by-step explanation:

Answer:

a.

Step-by-step explanation: