graph the line y = 2x - 5​

Answers

Answer 1

Answer:

The Explanation is below with attachment.

Step-by-step explanation:

For the line  y = 2x - 5

For Drawing a line on a graph we require minimum two points, but we will plot three points.

Here you can take any random value for X so that the corresponding Y value you will get.

So, put x = 0, in the equation we will get

[tex]y = 2(0) - 5\\\therefore y = -5\\\therefore Let\ A(0,-5)[/tex]

Similarly,

Put x = 1 we will get,

[tex]y= 2(1)-5\\\therefore y =-3\\\therefore Let\ B(1,-3)[/tex]

Again,

Put x = -1 we will get,

[tex]y= 2(-1)-5\\\therefore y =-7\\\therefore Let\ C(-1,-7)[/tex]

Now we have three points say point A (0,-5)), point B (1.-3) and point C (-1,-7)

See the graph below

Graph The Line Y = 2x - 5

Related Questions

There are 1500 students in a school. 65% are girls. How many girls are there in the school?

Answers

Answer:

975 girls

Step-by-step explanation:

To find 65% of 1500, multiply 1500 by .65 (to convert percentages to decimals, just move a decimal point over two spaces).

1500*.65=975

You can check that this answer is right with logic. Most of the students will be girls (more than 50%) and 975 makes up most of 1500.

Someone else asked this same question a while ago, and you can find their explanation here https://brainly.com/question/969975

The answer to your question will be 975

What is the value of (–7 + 3) - (2 – 6)?

Answers

Answer:

0

Step-by-step explanation:

-7+3= -42-6= -4(-4)-(-4)= -4+4-4+4=0

Answer:

The answer would be 0

What is the quotient?
-286 ) 457.6

-16

-1.6


1.6


16​

Answers

Answer:

-1.6

Step-by-step explanation:

Simple division but with a negative number. Positive ÷ Negative = Negative and vice versa

Answer:

-1.6

Step-by-step explanation:

edge-

A rectangle with a width of 9 ft. and a length of 13 ft. is the base of a 30 ft. tall pyramid. What
is the volume of the pyramid?

Answers

Answer:

1170

Step-by-step explanation:

what is this equal
how can I solve similar trigonometric integrals like this one

Answers

Answer:

ln|sec θ + tan θ| + C

Step-by-step explanation:

The integrals of basic trig functions are:

∫ sin θ dθ = -cos θ + C

∫ cos θ dθ = sin θ + C

∫ csc θ dθ = -ln|csc θ + cot θ| + C

∫ sec θ dθ = ln|sec θ + tan θ| + C

∫ tan θ dθ = -ln|cos θ| + C

∫ cot θ dθ = ln|sin θ| + C

The integral of sec θ can be proven by multiplying and dividing by sec θ + tan θ, then using ∫ du/u = ln|u| + C.

∫ sec θ dθ

∫ sec θ (sec θ + tan θ) / (sec θ + tan θ) dθ

∫ (sec² θ + sec θ tan θ) / (sec θ + tan θ) dθ

ln|sec θ + tan θ| + C


Write the equation of each line using the given information.
a. The points (2,1.5) and (−5,36.5) both lie on the line.
b. m=4 and the point (3,15) lies on the line.
c. It has the same slope as y=1 and passes through (3,−8).
d.m=2and it has a y-intercept of (0,4).

Answers

Answer:

a. 10x + 2y = 23

b. 4x - y + 3 = 0

c. y + 8 = 0

d. 2x - y + 4 = 0

Step-by-step explanation:

a.

Slope of the line 'm' is [tex]\frac{36.5-1.5}{-5-2}[/tex] = [tex]\frac{35}{-7}[/tex] = -5

Equation of the line with slope m and passing through the point (x₁,y₁) is y-y₁ = m·(x-x₁)

⇒y-1.5 = -5·(x-2)

⇒y = -5x + 10 + 1.5

5x + y = 11.5 (or) 10x + 2y = 23

b.

Slope of the line 'm' = 4

Equation of the line with slope m and passing through the point (x₁,y₁) is y-y₁ = m·(x-x₁)

⇒y-15 = 4·(x-3)

⇒y = 4x -12 + 15

4x - y + 3 = 0

c.

Line is parallel to y = 1

Equations of parallel lines only differ by constant. So the required line equation has the form y = c where c is any real number.

But, it is given that the line passes through the point (3,-8)

⇒c=-8

y = -8 (or) y + 8 = 0

d.

Equation of a line with slope 'm' and y-intercept of (0,c) is of the form y = mx + c

⇒y = 2x + 4

2x - y + 4 = 0

14. You start an investment account with $3000 and save $100 each month. Write a
rule to represent the total amount of money you invest into your account as an
arithmetic sequence. How much money will you have invested after 12 months?​

Answers

Answer:

4200

Step-by-step explanation:

In an arithmetic sequence equation t=a + (n-1)d, a is the starting value. In this case, a=3000.

Although, since the initial investment is not considered the first month, the equation is t = a + dn.

d is the rate of change. In this case, the rate of change is 100 for every month, n.

Substitute these values from the problem to get an equation:

t = 3000 + 100n

t means the total amount of money we have for the amount of months (n) that passed.

Sub n for 12.

t = 3000 + 100n

t = 3000 + 100(12)

t = 4200

You will have $4200 after 12 months of investment.

Three math questions

Answers

Answer:

1. A is d=1.75

Step-by-step explanation:

Answer:

1a) 10.50=6d

1b) d= 1.75

2a) w is less than or equal to 35

2b) It would not make sense to have a bag that weighed zero or below.

3a) The tree grows 15 ft for every since it was planted.

3b) h(t)=70+15x

please solve with working much appreciated

Answers

Answer:

Length n = 5 cm

Step-by-step explanation:

Given:

Each angle measure is of 60° for the triangle given in the figure.

Equilateral Triangle:

If all the angles measure of the triangle is 60° then the triangle is said to be an Equilateral Triangle.

Therefore, the triangle given in the figure is an Equilateral Triangle.

Another property of an Equilateral Triangle is

All the Three sides of an equilateral triangles are equal.

Here,

measure of each angle is 60° ...... { Given}

length of one side = 5 cm       ........{Given}

∴  Length n = 5 cm

The difference of 3 times a number and 15 is no less than the square of the number.
Select the inequality that represents this relationship.
A. 3x – 15 > 22
B. 34 < x2 + 15
c. 3x < 32 – 15
D. 3x + 15 > 22

Answers

Answer:

(B) The inequality that represents this relationship is [tex]3x  < x^2 +15[/tex]

Step-by-step explanation:

Let us assume the given number = x

⇒ 3 times the given number = 3 (x)  = 3x

Square of the given number = [tex](x)^2  = x^2[/tex]

Now, According to the question:

The difference of (3 x) and 15 is no less than [tex] x^2[/tex]

⇒ [tex]3x - 15 < x^2\\ \implies 3x  < x^2 +15[/tex]

or, [tex]3x  < x^2 +15[/tex]

Hence, the given inequality is represented as [tex]3x  < x^2 +15[/tex]

Answer:

3x - 15 > [tex]x^{2}[/tex]

Step-by-step explanation:

Let the number be x

⇒3 times the number is 3x and square of the number is [tex]x^{2}[/tex]

Difference of 3 times a number and 15 is 3x -15

⇒This difference is no less than the square of the number

⇒The difference is greater than or equal to square of the number

3x - 15 ≥ [tex]x^{2}[/tex]

La empresa González se dedica a la fabricación y venta de mesas para jugar domino. Luego de un estudio, determinaron que el costo variable por fabricar una mesa es de $6 y los costos fijos de fabricación son de $524.
-Presumiendo que el costo total de fabricar una mesa presenta un modelo lineal, determinar el costo total C por fabricar x mesas al día.
-que significa la pendiente?
-cual es el costo total para la empresa González por fabricar 345 mesas?

Answers

Answer:

Total cost/Costo total: [tex]TC=524+6x[/tex]Slope/pendiente: change in total cost when we produce an additional unit /cambio en el costo total cuando se incrementa la produccion en una unidad.Total cost if 345 tables are made/costo total por elaborar 345 mesas: [tex]TC=524+6\times{345}=2594[/tex].

Step-by-step explanation:

Total cost/Costo total: [tex]524+6x[/tex]. Total amount of money spent when producing x amount of tables, equals a fixed amount that must be paid and an extra of $6 for every additional table produced./ Cantidad de dinero gastado cuando se produce una cantidad x de mesas, es equivalente a $524 de costos fijos mas $6 adicionales por cada mesa producida.Slope/pendiente: change in total cost when we produce an additional unit. It is the coefficient that is linkes the extra amount of money spent when producing an extra unit of x (tables). /Cambio en el costo total cuando se incrementa la produccion en una unidad. El el coeficiente que vincula el cambio en el costo total con el cambio en las cantidades producidas.Total cost if 345 tables are made/costo total por elaborar 345 mesas: [tex]TC=524+6\times{345}=2594[/tex]. (Is the result of replacing in the equation x=345, which means to evaluate the total costo when we produce 345 tables/Es el resultado de remplazar en la ecuacion x=345, lo que resulta en saber el costo total de producir 345 mesas).

In the figure shown, which composition of rigid motions will map one triangle onto the other?

Answers

Translation

Explanation:

Rigid motion occurs when you move figures without affecting the size or shape in order for the figure to be congruent in a new location.

The types of rigid motions are:

ReflectionsTranslations (We will use it in this problem)Rotations

In this problem, you haven't provided any figure, but I've attached one below. As you can see, we have a triangle ΔABC that has been translated to a new location in order to match triangle ΔDEF. So any point (x, y) on the triangle is mapped following this rule:

[tex](x,y) \rightarrow (x+8,y+2)[/tex]

So the new vertices D,E,F will be:

[tex]A(-6,2) \rightarrow D(-6+8,2+2)=\boxed{D(2,4)} \\ \\ B(-6,6) \rightarrow E(-6+8,6+2)=\boxed{E(2,8)} \\ \\ C(-2,2) \rightarrow F(-2+8,2+2)=\boxed{F(6,4)}[/tex]

Learn more:

Shifting graphs: https://brainly.com/question/10010217

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A student wants to write an expression for, "all of the elements which are not in set
A combined with those elements not in set B". Which expression below matches the
statement?
A. (A'NB)
B. (AUB)
C. (A’UB')
D. P(A’ n B’)

Answers

Option C. (A’UB') is the correct answer

Step-by-step explanation:

If A and B are two sets

Then

We can say the the elements that are not in set a can only be obtained by finding its complement

So,

all of the elements which are not in set  A = A'

Similarly

those elements not in set B = B'

Combining these means that elements of both sets will be : A'UB'

Hence,

Option C. (A’UB') is the correct answer

Keywords: Sets, complements

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Going to the movies cost $9.50 per person. What is the slope of the line that models this situation, if x represents number of people and t represents total cost?​

Answers

Answer:

9.5

Step-by-step explanation:

The cost of movie tickets is $9.50 per person.

Now, if the variable x represents the number of people and t represents a total cost in dollars, then we can write the equation that models the above situation as

t = 9.5x ......... (1)

From this above two-variable linear equation it is clear that the slope of the line is 9.5. And its unit is dollars per person. (Answer)

What is 11/6 as a improper fraction

Answers

Answer: that is an improper fraction but mixed it’s 1 5/6

Answer:

11/6 as an improper fraction is 1 5/6

Step-by-step explanation:

Richard design a great new hotel is hotel is tallest in the city it has 58 floors each floor has 18 room each room has two TV how many TVs are in his whole hotel​

Answers

There are 2088 TVs in his whole hotel.

Step-by-step explanation:

No. of floors = 58

No. of rooms = 18 per floor

Total rooms = No. of floors * No. of rooms per floor

[tex]Total\ rooms = 58*18\\Total\ rooms=1044[/tex]

As every room has two TVs, therefore,

Total TVs = Total rooms * 2

[tex]Total\ TVs=1044*2\\Total\ TVs=2088[/tex]

There are 2088 TVs in his whole hotel.

Keywords: multiplication

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What is the quotient StartFraction 15 p Superscript negative 4 Baseline q Superscript negative 6 Baseline Over negative 20 p Superscript negative 12 Baseline q Superscript negative 3 Baseline EndFraction in simplified form? Assume p not-equals 0, q not-equals 0. Negative StartFraction 3 p Superscript 8 Baseline Over 4 q cubed EndFraction Negative StartFraction 3 Over 4 p Superscript 16 Baseline q Superscript 9 Baseline EndFraction Negative StartFraction p Superscript 8 Baseline Over 5 q cubed EndFraction Negative StartFraction 1 Over 5 p Superscript 16 Baseline q Superscript 9 Baseline EndFraction

Answers

can be simplified to

[tex]-\frac{3p^8}{4q^3}[/tex]

Hopes this helps

if not then I'm sorrr

Final answer:

The quotient in simplified form for \(\frac{15p^{-4}q^{-6}}{-20p^{-12}q^{-3}}\) is \(-\frac{3p^8}{4q^3}\). This is found by dividing the numerical coefficients and subtracting the exponents for variables of the same base (negative exponents indicate reciprocals).

Explanation:

To find the quotient in simplified form for \(\frac{15p^{-4}q^{-6}}{-20p^{-12}q^{-3}}\), we perform division of the coefficients (15 divided by -20) and subtraction of the exponents for variables with the same base (p's and q's exponents) according to the rules of exponents. First, simplify the numerical coefficients:



\(\frac{15}{-20} = -\frac{3}{4}\)



Now, subtract the exponents for p (applying the formula x^p \cdot x^q = x^{(p+q)}):



\(p^{-4} - p^{-12} = p^{-4 + 12} = p^8\)



Next, apply the same process to the exponents of q:



\(q^{-6} - q^{-3} = q^{-6 + 3} = q^{-3}\)



Combine the results to get the simplified quotient:



\(-\frac{3}{4} × p^8 × q^{-3}\)



Remember that a negative exponent indicates a reciprocal, so we can write \(q^{-3}\) as \(\frac{1}{q^3}\). Therefore, the final answer is:



\(-\frac{3p^8}{4q^3}\)

Learn more about Simplifying Quotients with Exponents here:

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4. Which ratios form a proportion? Use cross products to test each pair.
A. 9/17 27/50
B. 12/35 24/75
C. 15/55 33/121
D. 12/35 20/70​

Answers

The right answer is Option C.

Step-by-step explanation:

A. 9/17 and 27/50

Using cross product;

[tex]\frac{9}{17}=\frac{27}{50}\\9*50=17*27\\450=459[/tex]

The ratio does not form proportion.

B. 12/35 and 24/75

[tex]\frac{12}{35}=\frac{24}{75}\\12*75=24*35\\900=840[/tex]

The ratio does not form proportion.

C. 15/55 and  33/121

[tex]\frac{15}{55}=\frac{33}{121}\\15*121=33*55\\1815=1815[/tex]

The ratio form a proportion.

D. 12/35 and 20/70​

[tex]\frac{12}{35}=\frac{20}{70}\\12*70=20*35\\840=700[/tex]

The ratio does not form proportion.

The right answer is Option C.

Keywords: ratio, proportion

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scott is riding a bike course that is 50 miles long. So far, he has ridden 6 miles of the course. What percentage of the course has Scott ridden so far?

Answers

Scott has ridden 12% of the course.

Step-by-step explanation:

Length of bike course = 50 miles

Distance covered = 6 miles

Distance covered in percentage = [tex]\frac{Distance\ covered}{length\ of\ bike\ course}*100[/tex]

Distance covered in percentage = [tex]\frac{6}{50}*100\\[/tex]

Distance covered in percentage = [tex]\frac{600}{50}[/tex]

Distance covered in percentage = 12%

Scott has ridden 12% of the course.

Keywords: percentage, distance

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Marco needs $57 to buy new basketball shoes. If Marco earns $3 per day working and already has $12 saved, which equation shows how many days Marco must work before he can afford the shoes?

Answers

Answer:

57=12+3d

d=number of days worked

Answer:

(57-12)3/x=15 days

x=57-12

CAN SOMEONE HELP ME WITH THIS QUESTION???? I NEED HELP QUICK!!!!!!!!!

Answers

1. r closest to 1: figure

2. No linear relationship: Figure 1

3. r equal to 1: Figure 3

Step-by-step explanation:

Correlation is the link between two variables or things"

When one quantity is increasing and the other is also increasing then the correlation co-efficient is positiveWhen one quantity is increasing and the other is decreasing then the correlation is negative.

Now for the scatter plot of a correlation:

If the data points are close to a best fit line then the correlation is strongIf the data points follow a linear relationship i.e. a straight line then the correlation is 1 or -1 depending on the sign of correlationIf the data points are more scattered then they have least correlation

Correlation coefficient closest to 1:

We can see in figure 4 that the data points are gathered across a line but not a perfect line and both the quantities are increasing so the correlation coefficient is close to 1.

Least Evidence of linear relationship:

Figure 1 can be observed to conclude that the data points are scattered on whole scatter plot hence creating no relationship

Correlation coefficient equal to -1:

We can see in figure 3 that one quantity is increasing and the other is decreasing and the data points are forming a line so the correlation coefficient will be -1

Keywords: Correlation, Scatter plot

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Goran's gas tank is 1/3
full. After he buys 3 gallons of gas, it is 1/2
full. How many gallons can Goran's tank hold?

Answers

Answer: 6 gallons

Step-by-step explanation:

1/3 = 2/6. 1/2 = 3/6

2/6 already + 3/6 = 5/6, it

To determine the total capacity of Goran's gas tank, we set up and solved an algebraic equation, finding that the total capacity of the tank is 18 gallons.

The student's question is about figuring out the total capacity of Goran's gas tank based on the information given. To solve this problem, we can set up a simple algebraic equation based on the proportions of the tank's capacity that are filled. Since filling the tank with 3 gallons of gas takes it from being 1/3 full to 1/2 full, we know that these 3 gallons represent the difference between 1/3 and 1/2 of the tank's total capacity.

Let's denote the total capacity of the tank as 'T' gallons. According to the question:

1/3 of 'T' + 3 gallons = 1/2 of 'T'

We can now set up the equation:

1/3 * T + 3 = 1/2 * T

To find 'T', we need to solve for T:

1/2 * T - 1/3 * T = 3

This simplifies to:
(3T - 2T) / 6 = 3
T/6 = 3

Now multiply both sides by 6 to solve for T:
T = 18

Therefore, the total capacity of Goran's gas tank is 18 gallons.

Which congruence theorems can be used to prove ΔABR ≅ ΔACR? Select three options.

Triangles A B R and A C R share side A R. Angles A B R and A C R are right angles. Sides A B and A C are congruent. Sides B R and C R are congruent.

HL
SAS
SSS
ASA
AAS

Answers

Answer:

1. HL

2. SAS

3. SSS

Step-by-step explanation:

Triangles ABR and ACR share side AR (hypotenuse of two right triiangles).

Angles ABR and ACR are right angles.

Sides AB and AC are congruent.

Sides BR and CR are congruent.

1. You can use HL theorem, because two triangles have congruent pair of legs and congruent hypotenuses.

2. You can use SAS theorem, because two triangles have two pairs of congruent legs and a pair of included right angles between these legs.

3. You can use SSS theorem, because two triangles have two pairs of congruent legs and  congruent hypotenuses.

Answer

1. HL

2. SAS

3. SSS

Step-by-step explanation:

just took the test aced it

Reduce each fraction as much as possible
Ex) 10/40

Answers

1/4. You would divide both numbers but they’re largest common denominator, which is 10
Find the largest factor that goes into both numbers then solve from there

All rocks are made of:

a. minerals
b. something that was once living
c. sand

Answers

Answer:

minerals

Step-by-step explanation:

Rocks are either SEDIMENTARY , IGNEOUS, or METAMORPHIC. Almost all rocks made of minerals, but different rocks contain different mixtures of minerals.

hope this helps :)

Answer:

sand

Step-by-step explanation:

sand because sand is made of different substance and for a lon

g time it starts to sit and without water its hard for them to sit, and sand has more similar substance between some that was one living and mineral.

x/-9​ ≥ 3 find x one step inequalities

Answers

Answer:

[tex]x\leq -27[/tex]

Step-by-step explanation:

Given:

[tex]\frac{x}{-9}\geq 3[/tex]

Multiplying both sides by -9, we get

[tex]-9\times \frac{x}{-9}\leq -9\times 3\\x\leq -27[/tex]

On multiplying both sides of an inequality by a negative number, the sign of the inequality changes as evident in the above equation.

So, the value of [tex]x[/tex] varies as:

[tex]x\leq -27[/tex]

15. Determine the future value of $4,000 deposited into an ordinary
annuity after each quarter for 3 years at 6% interest compounded
quarterly. (Lesson 5.8)

Answers

Answer:

The future value of investment at 6 % compounded quarterly is                $ 4782.472  

Step-by-step explanation:

Given as :

The principal amount = $ 4000

The rate of interest compounded quarterly = 6 %

The time period = 3 years

Let The future amount = A

From Compounded method

Amount = Principal × [tex](1+\dfrac{\textrm rate}{4\times 100})^{4\times \textrm time}[/tex]

Or, Amount = 4000 × [tex](1+\dfrac{\textrm 6}{4\times 100})^{4\times \textrm 3}[/tex]

Or, Amount = 4000 × [tex](1.015)^{12}[/tex]

Or, Amount = 4000 × 1.195618

∴ Amount = $ 4782.472

Hence The future value of investment at 6 % compounded quarterly is  $ 4782.472  Answer

Find the x-and y-intercepts of the graph of each equation
8. x+y=9​

Answers

Answer:

see explanation

Step-by-step explanation:

To find the x- intercept let y = 0 in the equation and solve for x

x + 0 = 9

x = 9 ← x- intercept ⇒ (9, 0 )

To find the y- intercept let x = 0 in the equation and solve for y

0 + y = 9

y = 9 ← y- intercept ⇒ (0, 9 )

A floor is covered by 800 tiles measuring 10 cm squared. how many square tiles of side 8 cm would be needed to cover the same floor.

Answers

Answer:

125tiles

Step-by-step explanation:

800*10=8000

8000/64=125

What is the volume of a cone with diameter 12 centimeters and height 4 centimeters?

Answers

Answer:

48pi or about 150.8 cm^3

Step-by-step explanation:

volume of cone = 1/3 * pi * r^2 * h

r = 12/2 = 6

1/3 (6^2) (4) pi = 48pi

48pi ~= 150.8 cm^3

Answer: 150.8 cm^3

Step-by-step explanation: The volume formula is V=πr^2(h/3). Once you plug in the radius (half the diameter) and the height, you solve the equation and get the answer of 150.8 cm^3

Other Questions
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