Solve for y: 2x + y = 7 and -2x + 3y = -3

Answer:

Step-by-step explanation:

answer the prenthese first then multiply the numbers that are not in the prenthese. if u dont understand it let me know

To determine whether it is a quadratic equation or not, look at the highest degree of the polynomial. if the highest degree is 2, it is a quadratic equation.

A quadratic equation is an equation of degree 2. The standard form of a quadratic equation is:

ax² + bx + c = 0,  with a ≠ 0

To determine whether it is a quadratic equation or not, look at the highest degree of the polynomial.

Example 1:

2x + 1 = 0

This is not a quadratic equation since its highest degree is 1

Example 2:

2/x² + x = 0

This is not a quadratic equation, since  2/x²  = 2x⁻²

Example 3:

4 - 5m² = 3m

This is a quadratic equation, since the highest degree is 2. Furthermore, it can be transformed to the standard form:

- 5m² - 3m + 4 = 0

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A pie chart shows The relative frequency for each class.

A pie chart is a diagram that shows a data or a number result in the form of a circle.

A pie chart is a type of chart that displays data statistics in a circular graph resembling a circle shape.

Inside the pie chart there are several slices containing numeric variables and categorical variables that represent certain data.

Pie charts are more suitable for making comparisons if the data consists of various categories or groups.

The pie chart is divided into sections according to the data presented. The area of the sections is proportional to the central angle of the circle and the amount of data presented.

This diagram is quite often used as a tool to show data.

By using this, everyone will easily visualize data so that data will be understood much more easily.

There are three types of pie charts. The difference between the three types lies in the use of units to present data.

Given the wide use of pie charts, the presentation of the data can be done in various ways.

the following are types of pie charts:

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The values of variables are
a. x = -3/2; b. x = 0; c. y = 5; and d. a = 0 and b = 0.  

A mathematical definition of an equation is a statement that two expressions are equal and joined by the equals sign "=". In algebra, an equation only satisfies a definite value of the variable.

To solve an equation we need to do operations like adding and subtracting the same integers or dividing or multiplying with the same integers.

Given equations can be solved as follows

a. 2x + 3 = 0

Add -3 on both sides

=> 2x + 3 - 3 = 0 - 3

=> 2x = - 3

=> x = -3/2  

b. 7x = 0

dividing by 0 into both sides

=> 7x/7 = 0/7

=> x = 0      [ ∵ 0/x = 0 ]  

c. 7(y - 5) = 0

divide by 7 into both sides

=> 7(y - 5)/7 = 0/7

=> (y - 5) = 0

Add 5 on both sides

=> y - 5 + 5 = 0 + 5

=> y = 5

d. ab = 0

If we divided by 'a' into both sides

=> ab/a = 0/a

=> b = 0

If we divided by 'b' into both sides  

=> ab/b = 0/b

=> a = 0

Therefore,

The values of variables are
a. x = -3/2; b. x = 0; c. y = 5; and d. a = 0 and b = 0.

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system of inequalities can be used to find the values of x and y are:

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

Given, Rita deposited less than $1,000 into two accounts. One account paid 2.5% and the other account paid 2% annual interest. After 1 year, she earned at least $23 in interest from the two combined accounts.

Since,  x represent the amount of money Rita deposited at 2.5% and y represents the amount of money she deposited at 2%,

x = amount invested at 2.5%

y = amount invested at 2.0%

x + y = 1000

Since, After 1 year, she earned at least $23 in interest from the two combined accounts.

Thus,

0.025x + 0.020y > 23

Therefore, system of inequalities can be used to find the values of x and y are:

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Answer:The value of y is 8 if AB is perpendicular CD after using the slope formula.

What is the slope?

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

It is given that:

A(9, 2), B(-1, y) C.(-5, 16) and D(-8, 11),

AB is the perpendicular CD

Using the slope formula to find the slope between A and B:

(y-2)/(-1-9)

= (y-2)/-10    

(11-16)/(-8-(-5)) =

-5/(-3)

= 5/3  

The perpendicular slope is -3/5

(y-2)/10=-3/5

5(y-2)=3(10)    

5y-10=30  

5y=40  

y = 8

Thus, the value of y is 8 if AB is perpendicular CD after using the slope formula.

The equivalent ratios are 8:1/3, 4:1/6, 6:1/4, 10:5/12.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Let us consider the table as below

Meters     8     4     y      z

Minutes   1/3   x     1/4    5/12

Since all the columns are pertaining same ratio; thus we have:

8/(1/3)=4/x=y/(1/4)=z/(5/12)

8/(1/3)=4/x

24=4/x

x=4/24=1/6

So the value of x is 1/6

24=y/(1/4)

24=4y

6=y

So the value of y is 6

24=z/(5/12)

24=12z/5

10=z

Hence, the equivalent ratios are 8:1/3, 4:1/6, 6:1/4, 10:5/12.

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Answer:

C=$7.38

Step-by-step explanation:

$18.62 + c = $26.00

$26-$18.62=$7.38

c=$7.38

The mass of the radioactive material for n years can be modeled as 112(1 - 1.5/100)ⁿ

An exponentially decaying function has a general form f(x) = (1 -r)ˣ, where r is called the decay rate. it can be found by having any two values of x for which f(x) is known.

The initial mass of radioactive element is given as 112 grams.

And, the decay rate is 1.5%.

Then, the expression for the mass after n years can be written as,

P(1 - r/100)ⁿ

Where P is the initial value, r is the decay rate in percent.

Plug P = 112 and r = 1.5 to obtain the required model as,

⇒ 112(1 - 1.5/100)ⁿ

Hence, the exponential model for the given case is  112(1 - 1.5/100)ⁿ.

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Answer: The zone of a rectangle is the item of length and width in this way the zone will be 1358 square meters.

Step-by-step explanation:

Rectangle ?

A rectangle may be a geometrical figure in which inverse sides are equal. The point between any two successive sides will be 90 degrees. The edge of the rectangle = 2( length + width).                       It has 4 sides, 4 points, and 4 corners (vertices)

It is known that,

Area of rectangle = length × Breadth

Area = 97 x 14 = 1358 square meters

Hence

The range of a rectangle is the item of length and Breadth in this way the zone will be 1358 square meters.

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The area of the rectangle is 1358

GIVEN-

Length=97

breadth=14

TO FIND-

Area of rectangle

STEPS-

Area of rectangle= length×breadth

∴area of rectangle=97 x 14

=1358

The area of rectangle is 1358m

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if the diameter is 8.4, that means its radius must be half that, or 4.2

[tex]\textit{area of a circle}\\\\ A=\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4.2\\ \pi =3\frac{1}{7}\\[1em] \qquad \frac{22}{7} \end{cases} \implies A=\cfrac{22}{7}(4.2)^2\implies A=55.44[/tex]

Answer: There u go

Step-by-step explanation:

Answer:

[tex]x^{2} + x -3[/tex]

Step-by-step explanation:

1. Write out the equation

[tex](x-2)+( x^{2} -1)\\[/tex]

2. Add like-terms

[tex]x^{2} +x-3[/tex]

Step-by-step explanation:

(X^2-1+x-2)

(X^2+x-2x-2)

X(x+1)-2(x+1)

(X-2)(x+1)

The slope of the points (-4, 7) and (-6, -4) when a line passes through them is 5.5

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

(-4, 7), (-6, -4

When the above points are expressed properly, we have the following ordered pairs

(x, y) = (-4, 7) and (-6, -4)

The formula for the slope of the line is then represented using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

In this case, the values of the variables are

(x, y) = (-4, 7) and (-6, -4)

Using the above as a guide, we have the following:

Substitute the known values in the above equation

So, we have the following equation

Slope = (-4 - 7)/(-6 + 4)

Evaluate

Slope = 5.5

Hence, the slope of the line is 5.5

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Complete question

What’s the answer for the slope of (-4, 7), (-6, -4)?

The minimum sample size required for the estimate (to the next integer) is given as 404.

Note that a sample size is the number of observations or individuals in a sample selected from a population.

The formula for Sample Size (n) is given as:

Sample size = n = [(Z[tex]_{\alpha/2 }[/tex] * σ ) / E]²

Where:

α = 1-90%

Margin of Error (E) = 0.18

Standard Deviation = σ = 2.2

At 90% confidence level the z is,

α = 1 - 90% = 1 - 0.90 = 0.10

α /2 = 0.10/2 = 0.05

Z[tex]_{\alpha/2 }[/tex] = Z₀.₀₅ = 1.645

Thus, Samples Size =
= [(1.645 * 2.2) /0.18]²

= (3.619/0.18)₂

= (20.1055555556)²

= 404.2333641993; thus

n [tex]\approx[/tex] 404

Therefore, the minimum sample size required for the estimate to the next integer is 404.

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Therefore , the solution of the given problem of equation comes out to be $88.

A mathematical formula between the two statements is employed to denote equality when the equivalent letter (=) is utilized. The equivalence of numerous mathematical variables is demonstrated using algebraic equations, which are statements of fact. For instance, the expression data d + 6 = 12 separates the values document d + 6 or 12 with an equal sign. One can quantify the number of syllables that each sides of each symbol corresponds to. A symbol's meaning usually runs counter to itself.

Here,

First, it takes Phil 3 hours do carve a giant boomerang after carving a little one in just 2 hours. He has 24 hours must carve as many boomerangs as possible. Cath can embellish ten boomerangs. Assume that x represents the quantity of small tomahawks and y represents the quantity of giant boomerangs. In light of the facts provided, the following expression can be created.

Here,

2x + 3y = 24 hours in equation 1.

Eq. 2: x + y = 10 

Take y = 10 - x from equation 2 as equation 3.

Step 2: We obtain by substituting equation 3 for equation 1

2x + 3y equals 2x + 3(10 - x) = 24, 2x + 30 -3x equals 24, -1x equals -6, and therefore x = 6.

In equation 2, change x to 6 to make

Since x + y = 6 + y = 10, y = 4

Therefore, they ought to produce four huge and six mini boomerangs.

Step 3: Next, we determine how much money they will earn. Each little boomerang will bring in $8, while each big one will bring in $10. So

4 x 10 for each huge boomerang and 6 x 8 for each mini boomerang

=(6 × 8)+ (4 × 10) = 48 + 40 = $88.

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A customer who pays $81 has 8 pizzas delivered.

Let x be the number of pizzas delivered to a customer who pays $81.

The cost of the pizzas is $81 - delivery fee.

The delivery fee for 2 pizzas is $25 - cost of 2 pizzas = $25 - 2x.

The delivery fee for 5 pizzas is $49 - cost of 5 pizzas = $49 - 5x.

Equating the two delivery fees, we get:

$25 - 2x = $49 - 5x

Solving for x:

- 2x +  5x = $49 - $25

  3x = 24

Divide both sides by the coefficient x

   x = 8

Hence, a customer who pays $81 has 8 pizzas delivered.

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Using simple unitary method and the provided conditions and values, The answer is he made 280 chicken all together.

The unitary method is a method used in mathematics to solve problems involving units of measurement. It involves expressing the units of measurement as a fraction or multiple of a single unit and then using this fraction or multiple to solve the problem. The method is particularly useful in solving problems involving conversions between different units of measurement. The unitary method is particularly useful in solving word problems where the conversion of units is required. It involves expressing the given information in terms of a single unit and then using that information to find the unknown quantity.

The unitary method is a useful tool for solving problems involving units of measurement, it simplifies the problem and improves understanding of conversions. It also helps to develop critical thinking skills and is a useful tool for problem-solving in a variety of subjects.

5 grilled chicken for 2 fried chicken.

5/2 grilled chicken for 1 fried chicken.

5/2 * 80 grilled chicken for 80 fried chicken.

200 grilled chicken for 80 fried chicken.

total = 200 +80 =280

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The cost of L meters of electrical cord would be L * (3 dollars/meter).

If 1 meter of electrical cord costs 3 dollars, then each length of electrical cord that is 1 meter long would cost 3 dollars. If you want to find the cost of a length of electrical cord that is not 1 meter long, you would need to multiply the length of the cord in meters by the cost per meter. For example, if you wanted to find the cost of 2 meters of electrical cord, you would multiply 2 by 3 dollars/meter to get 6 dollars. In general, the cost of L meters of electrical cord would be L * (3 dollars/meter).

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2 one meter of electrical cord costs 3 dollars, so each length of electrical cord cost is 1.5 dollars.

In the given question, 2 one meter of electrical cord costs 3 dollars.

We have to find how much each length of electrical cord cost.

The unitary method is a method that involves finding the value of one unit (by division) and utilizing that value to determine the values of numerous units (by multiplication).

As given that

2 one meter cord = 3 dollars

To find the cost of each length of electric cord we divide 3 by 2 because the cost of 2 is 3.

1 one meter cord = 3/2 dollars

1 one meter cord = 1.5 dollars

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The value of p is 1/3.

P(A∪B) = P(A) + P(B) − P(A∩B)

0.6 = 0.4 + p − P(A∩B)

(A∩B) = 0.4 + p − 0.6 = p − 0.2

Since , A and B are independent events.

P(A∩B) = P(A) × P(B)

p − 0.2 = 0.4 × p

p − 0.4p = 0.2

p = 0.2/0.6 = 1/3

The chance of an event happening given that another event has already occurred (via assumption, supposition, statement, or evidence) is known as conditional probability in the field of probability theory. [1] This particular approach depends on event B happening in some way connected to another event A. In this case, a conditional probability analysis with respect to event B is possible.

The probability of A under the condition B is typically expressed as P(A|B)[2] or PB if the event of interest is A and the event B is known to have occurred or is assumed to have done so (A). This can alternatively be thought of as the percentage of possibility that B and A will collide.

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Answer:

A≈28.27mi²

Step-by-step explanation:

From the set given, A ∪ B =

Information given in the question

A = {1, 3, 5, 7, 9}

B = {2, 4, 6, 8, 10}

C = {1, 5, 6, 7, 9}

A ∪ B, is called A union B. To solve for A ∪ B, we take all the elements of set A and all the elements of set B together

= {1, 3, 5, 7, 9} +  {2, 4, 6, 8, 10}

= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Hence this equals integers from 1 to 10 inclusive

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The measure of angle x is x = 51°

The area of the shaded portion of the circle A = 47.17 cm²

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The perimeter of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle

Given data ,

Let the area of the shaded region of the circle be represented as A

Now , the equation will be

From the figure , the line AB is a straight line

And , 129° + x° = 180°

Subtracting 129° on both sides of the equation , we get

x° = 180° - 129°

On simplifying the equation , we get

x° = 51°

So , the measure of angle x = 51°

And ,

Area of the shaded region A = Area of the sector of circle - Area of triangle

Now , sin 51° = h / 8 ( from Pythagoras Theorem )

Multiply by 8 on both sides of the equation , we get

h = 8 x ( sin 51° )

h = 8 x 0.7771

h = 6.2168

h ≈ 6.22 cm

Now , Area of the sector of circle = ( 129π ( 8 )² ) / 360

On simplifying the equation , we get

Area of the sector = 72.05 cm²

And , Area of triangle = ( 1/2 ) x 8 x 6.22

Area of triangle = 24.88 cm²

Now , Area of the shaded region A = Area of the sector of circle - Area of triangle

Substituting the values in the equation , we get

Area of the shaded region A = 72.05 cm² - 24.88 cm²

Area of the shaded region A =47.17 cm²

Hence , the area of the shaded region of the circle A is 47.17 cm²

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Answer:

Below

Step-by-step explanation:

75 °F   ≤  T°  ≤  92 °F     <=======given

dV/dt = -1.4t³ is differential equation that describe the relationship.

The differential equation dV/dt = kV³ where k is the constant will forecast the rate of change of volume.

We know that a tank's water leak causes its volume to fluctuate at a pace that is proportional to its cube as time passes.

The tank is leaking the volume. Therefore, the rate might be expressed negatively.

The rate of change of volume can be expressed as follows: dV/dt is proportional to V³ that is dV/dt = kV³ for the specified conditions.

The proportionality constant in this case is k. By employing the boundary conditions, its value can be determined.

Therefore, dV/dt=kV³ where k is the constant will be the differential equation predicting the rate of change of volume.

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Code  chunk  is created the wages column using analyst technique. mutate(salary_data, hourly_salary = wages/40) .

By using data analyst  technique in which the mutate() function  is used to create a new column for wages which is divided by 40 known as hourly_salary. The mutate() function in which it adds  a new column and  leaves  existing columns .

A data analyst who collects, cleans, and interprets large amounts and contents of data in order to simplify ,answer questions to a particular  problem in a standard manner . The team people work in a wide range of industries, including business, finance, criminal justice, science, medicine, and government of utilization of process.

Role of a Data Analyst makes more crucial in modern technician  businesses, assisting in the modern  reflection of the company's work and customer  related base, determining in such way that  how these factors have  been affected by  profits, and advising modern  leadership on to move forward to grow the business in the modern world .

hence ,  code chunk is discussed based on the analyst at the column of wages and also detailed about how does the data analyst is working with the data frame wages which includes data at the rate of column and multiplied by 40.

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A code chunk which lets the analyst create the wages column include the following: A. mutate(salary_data, wages = rate * 40).

In Computer programming, a mutate function can be defined as a type of function in R programming that is primarily used for the creation of a new variable from a list of data set while preserving existing variables or existing columns.

In this scenario, the code chunk which would let the data analyst create the wages column from the rate column should be written in R Studio (R programming) as follows:

mutate(salary_data, wages = rate * 40).

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Complete Question:

A data analyst is working with a data frame named salary_data. They want to create a new column named wages that includes data from the rate column multiplied by 40. What code chunk lets the analyst create the wages column?

A. mutate(salary_data, wages = rate * 40)

B. mutate(salary_data, wages = rate + 40)

C. mutate(wages = rate * 40)

D. mutate(salary_data, rate = wages * 40)

To make a profit, Lisa must sell 59 cards on Friday

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

Sales that gives profit = at least 140 cards

Sales on Monday to Thursday = 15,7,14,45 cards

This means that

Friday = Sales that gives profit - Sales on Monday to Thursday

Substitute the known values in the above equation, so, we have the following representation

Friday = 140 - (15 + 7 + 14 + 45)

Evaluate

Friday = 59

Hence, the sales is 59

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Using the provided values with the data for the per ride fee and per mile cost, The answer is 10 miles.

The term "cost" can have a variety of meanings depending on the context in which it is used. In general, it refers to the amount of money or resources that must be expended in order to acquire or produce something. In a business setting, cost typically refers to the expenses associated with manufacturing or acquiring a product or service, such as materials, labor, and overhead. In a personal finance context, cost might refer to the expense of purchasing a good or service, such as a car or a vacation.

Selling price, also known as the "price point" or "retail price," is the amount at which a product or service is offered for sale to the customer. It is the final price that the customer pays, which includes all costs associated with producing and bringing the product or service to market, as well as any profit margin that the seller wishes to make. The selling price is determined by a number of factors, such as the cost of production, competition, market demand, and the seller's desired profit margin.

total = 11.5

remaining = 11.5-4 =  7.5

distance  =  7.5 /0.75 =10 miles

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