Graph The Lines (Algebra 1)

Graph The Lines (Algebra 1)

Answers

Answer 1

Answer:

See the picture below

Step-by-step explanation:

Your equations are in the slope-intercept form of a line.  The equations are make up of a slope and a y-intercept.

y = mx + b  The m is the slope (the steepness of the line) and b is the y-intercept.  This is where the line crosses the y axis.

I would start with the y intercept.  Look at the first equation

y = x -8  The -8 tells us that this graph crosses the y axis at (0,-8)  From that point, we will use the slope.  The slope is the number before the x.  If we do not see a number than it is 1.  We want to make this a fraction. What is 1 as a fraction?  1/1  This means that from -8 where the graph crosses the y axis we will follow the pattern of up one, one to the right.

Let's look at the second graph

y = -x + 5.  This tells us that we cross the y axis at (0,5).  Our slope is -1.  What is -1 as a fraction?  -1/1.  This means that we will move down 1 and right one.  We will follow that pattern.

Let's look at the third graph

y = 3/4x - 1  We cross the y axis at (0,-1)  From that point we move up 3 and right 4.

y = 3 means that no matter what x is, y will be -3.  This creates a horizontal line.

x = -4 means that not matter what y is, x will be -4.  This creates a vertical line.

Graph The Lines (Algebra 1)

Related Questions

What is the equation? The wording is weird I don’t understand it well

What is the equation? The wording is weird I dont understand it well

Answers

Answer:

13) 12x=147 14) 13

Step-by-step explanation:

Break even means when they are equal in value I guess.

So 12x=147

To make it worth it to buy the movie pass, 12x>147

x>12 1/4, so at least 13 movies to make it worth it.

TRICK ?!!!

What is 4x9+3x2?!

Answers

Answer:

i swear to God if anyone else criticizes me for not getter parentheses I'm going to frikinf punch a hole through my wall

Answer:

42

Step-by-step explanation:

4×9+3×2

You will multiply it and then add

36+6

You add the numbers

Which is going to be;

42

What is the distance between (4, 7)(4,7)left parenthesis, 4, comma, 7, right parenthesis and (2, 2)(2,2)left parenthesis, 2, comma, 2, right parenthesis? Choose 1 answer: Choose 1 answer: (Choice A) A \sqrt{10} 10 ​ square root of, 10, end square root (Choice B) B \sqrt{29} 29 ​ square root of, 29, end square root (Choice C) C 888 (Choice D) D 99

Answers

Answer:

Choice B) B \sqrt{29} 29 ​ square root of, 29, end square root = √29

Step-by-step explanation:

When given coordinates, the distance between those points(coordinates) is calculated as:

Distance = √(x2 - x1)² +(y2 - y1)²

Given(x1, y1), (x2, y2)

Fromm the question, we are given points(4,7) and (2,2)

Distance = √(x2 - x1)² +(y2 - y1)²

= √(2 - 4)² + (2 - 7)²

= √-2² + -5²

= √4 + 25

= √29

Therefore, Choice B is the answer = √29

13 points if someone gets it right.

You spin this spinner twice.

1 polka-dot section, 2 white sections, 1 shaded section

Whta is the probability of the spinner stopping at a polka- dot section and then say stopping a solid white section? Write your answer as a fraction

Answers

The probability of the spinner stopping at a polka-dot section and then stopping at a solid white section is 1/8.

The probability of the spinner stopping at a polka-dot section and then stopping at a solid white section is 1/4.A spinner is a gambling tool used for games and competitions. Spinning games are frequently based on chance, and players frequently wager money or other objects on the result.

When it stops, a pointer will land on one of many different numbered segments of the spinner, each of which corresponds to a particular reward or consequence. Spinning games are frequently based on chance, and players frequently wager money or other objects on the result. Probability is the study of the likelihood of events taking place.

Probability is expressed as a fraction, decimal, or percentage and is always between 0 and 1. The probability of an event can be calculated using the following formula: Probability = number of favorable outcomes / total number of possible outcomes. Given the spinner has a polka-dot section, 2 white sections, and 1 shaded section, it has a total of 4 sections.

Therefore, the probability of the spinner stopping at a polka-dot section is 1/4.Also, after the first spin, the spinner still has 2 white sections. Therefore, the probability of stopping at a solid white section is 2/4 or 1/2 (since there are only 2 possible outcomes after the first spin).

To determine the probability of the spinner stopping at a polka-dot section and then stopping at a solid white section, we must multiply the probability of each event.1/4 × 1/2 = 1/8

Hence, the probability of the spinner stopping at a polka-dot section and then stopping at a solid white section is 1/8.

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Which equation matches the table?

Which equation matches the table?

Answers

An equation that matches the table include the following: y = x + 5.

How to determine an equation of this line?

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

m represent the slope.x and y represent the points.

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (6 - 5)/(1 - 0)

Slope (m) = 1/1

Slope (m) = 1.

At data point (0, 5) and a slope of 1/, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = 1(x - 0)

y - 5 = x

y = x + 5

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Convert 7.6miles to kilometers with solutions​

Answers

Answer:

12.2 km

Step-by-step explanation:

Here is ONE way :

7.6 mi * 5280 ft/mi * 12 in / ft   /   (39.37 in / m * 1000 m / km)  = 12.2 km  

Does the graph shows a proportional relationship

Does the graph shows a proportional relationship

Answers

Answer:

no

Step-by-step explanation:

a proportional relationship when graphed always is a straight line that goes through the origin (0,0)

The graph shown, shows a straight line but the line doesn't go through the origin therefore the graph does not show a proportional relationship.

Note that the origin is where the x and y axis cross , or the bottom right corner of the graph in this case

Simplify this question

Simplify this question

Answers

Step-by-step explanation:

9x²/3x + 12x/3x + 1

= 3x/1 + 4/1 + 1

= 3x + 5

I hope this is true..

9x^2 +6x+6x+1
3x(3x+2) +6x +1

Answer = 3x +2+6x+1
=9x +3 or 3(3x+1)

Find the rate of change

Find the rate of change

Answers

Step-by-step explanation:

we see the points marked (-1, -1) and (2, -2).

the rate of change is so called the slope of the line and is the ratio of y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.

so, here

x changes by +3 units (from -1 to 2),

y changes by -1 unit (from -1 to -2).

so the slope is -1/3

Create an algebraic equation for the word problem below:

Canadian Tire is selling coffee mugs. A coffee mug costs $5 and each day the price increases by $2.

Answers

Answer:

5+d2

Step-by-step explanation:

We'll make d=day

5+d2

5 is the base price

and 2 is the number that increases by day

Please tell me if it's incorrect

Happy Holidays!

Where was the telegraph mostly used?

Answers

The telegraph was mostly used for sending electrical current pulses along a wire with the Morse code encoding.

A Telegraph is a device or a system that allows the transmission of the  information by coded signal over a distance .

The telegraph was developed in the 1830s and 1840s by Samuel Morse which was mostly used for transmitting the electrical signals over a wire laid between stations.

The telegraph is still the the front runner of all the communication systems even today, and many of the principles that were developed for the telegraph are still in use in modern communication and computer networks.

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The local craft fair charges the vendors a flat fee of $15 plus $5 for each hour that they spend at the fair. If the vendor owed how many hours did he remain at the craft fair ?

Answers

Answer:

Equation should be: 15x + 5 = y

Step-by-step explanation:

I do not know the amount of money that he owed

For Example :

15(12) + 5 = y

180 + 5 = y

y = 185

Sorry if I'm incorrect

Due ASAP please help :) ty
What is m% of n?

Answers

let x be the percent of p asked
then
m% of n = x% of p
m/100*n = x/100*p
mn = xp
x = mn/p

2x+y =8 and y=x-7 solve by substitution

Answers

Answer:

you can do this by this please vote also

2x+y =8 and y=x-7 solve by substitution

which point is farther from the origin, (,1,2,-2) or (0,0,5)?

Answers

Answer:

\( \sqrt{ {1}^{2} + {2}^{2} + {( - 2)}^{2} } = \sqrt{1 + 4 + 4} = \sqrt{9} = 3\)

(1, 2, -2) is 3 units away from the origin.

(0, 0, 5) is 5 units away from the origin.

So (0, 0, 5) is farther away from the origin.

What is the relationship between the linear correlation coefficient r and the slope b, of a regression line? A. The value of r will always be larger than the value of b B. The value of r will always have the same sign as the value of b C. The value of r ill always have the opposite sign of the value of b. D. The value of r will always be smaller than the value of bq

Answers

The relationship between the linear correlation coefficient r and the slope b of a regression line is that the value of r will always have the same sign as the value of b. So, the correct option is B.

This means that if the slope is positive, indicating a positive relationship between the variables, the correlation coefficient will also be positive. Similarly, if the slope is negative, indicating a negative relationship between the variables, the correlation coefficient will also be negative. It is important to note that the magnitude of r and the magnitude of b may not necessarily be the same. Therefore, option B is the correct answer.

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we can use the analysis of variance procedure to test hypotheses about

Answers

The analysis of variance is a valuable tool for examining potential differences among three or more groups, helping to make informed decisions based on data. It enables researchers to determine if there is a significant factor affecting the outcome or if the observed variations are simply due to chance.

The analysis of variance (ANOVA) procedure is a statistical technique used to test hypotheses about the means of three or more groups. ANOVA compares the variance within each group to the variance between the groups to determine if there is a significant difference in means. This test is commonly used in research studies to determine if a particular treatment or intervention has an effect on the outcome of interest.

In an ANOVA, the null hypothesis assumes that all group means are equal, while the alternative hypothesis suggests that at least one group mean is different from the others. By calculating the F-statistic and comparing it to a critical value, we can determine whether to reject or fail to reject the null hypothesis.

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According to a cars speedometer the car is traveling a speed of 47 mph. The speedometers reading has a 5% error. What could the actual speed of the car be

According to a cars speedometer the car is traveling a speed of 47 mph. The speedometers reading has

Answers

Answer:

Step-by-step explanation:

It could be going at 49 MPH

20 = -B/0.2
What is B?
I need help hurry please.

Answers

The answer is,

\(b = - 4\)

Your aunt offers you a choice of $22,000 in 17 years or $950 today. At a discount rate of 20 percent, how much is your aunt's offer of $22,000 worth today? (Enter your answer as a positive number rounded to 2 decimal places.) If you invest $12,500 today, how much will you have in each of the following cases? Enter all answers as positive amounts. a. In 8 years at 7 percent? (Round your final answer to 2 decimal places.) b. In 17 years at 10 percent? (Round your final answer to 2 decimal places.) c. In 20 years at 12 percent (compounded semiannually)? (Round your final answer to 2 decimal places.)

Answers

At a discount rate of 20%, the present value of your aunt’s offer of $22,000 in 17 years is approximately $190.46.


To calculate the present value of your aunt’s offer, we use the discount rate of 20%. The formula for present value is PV = FV / (1 + r)^n, where PV is the present value, FV is the future value, r is the discount rate, and n is the number of periods. Plugging in the values, we have PV = $22,000 / (1 + 0.20)^17, which gives us approximately $190.46.

For the investment scenarios, we use the compound interest formula: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount (initial investment), r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years. Plugging in the given values for each case, we calculate the final amounts.
a. A = $12,500(1 + 0.07/1)^(1*8) ≈ $19,956.77.
b. A = $12,500(1 + 0.10/1)^(1*17) ≈ $46,426.32.
c. A = $12,500(1 + 0.12/2)^(2*20) ≈ $73,785.59.
Therefore, if you invest $12,500 today, you will have approximately $19,956.77 in 8 years at 7%, $46,426.32 in 17 years at 10%, and $73,785.59 in 20 years at 12% compounded semiannually.

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Which window with the following dimensions is too small to allow a 48-inch piece of glass to fit through it?
28 x 45 inches
36 x 27 inches
40 x 40 inches
40 × 42 inches

Answers

The dimensions 36 x 27 inches are too small to allow a 48-inch piece of glass to fit through it.

What is meant by dimensions?An object's dimension is a topological measure of the size of its covering properties. It is the number of coordinates required to specify a point on the object.A dimension is a measurement that includes things like length, width, and height. When you talk about an object's or place's dimensions, you're referring to its size and proportions. Dimensions are the powers to which basic units or quantities are raised in order to represent a specific physical quantity. <br> e.g., : In the gravitational constant formula, the length, mass, and time dimensions are 3, -1, and -2, respectively. The dimensional formula is defined as the physical quantity expressed in terms of its basic unit with proper dimensions. Dimensional force, for example. F = [M L T-2] It's because the Force unit is Newton, or kg*m/s2.

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Factor 4x^2 + 12x + 9. What is the square root of this trinomial, written as a binomial?​

Factor 4x^2 + 12x + 9. What is the square root of this trinomial, written as a binomial?

Answers

Answer:

(2x+3)^2

Step-by-step explanation:

4x^2+12x+9

4x^2+6x+6x+9

factor:

2x(2x+3)+3(2x+3)

(2x+3)(2x+3) or (2x+3)^2

If 12a 3b=1 and 7b–2a=9 what is the average of a and b.

Answers

Answer:

b

Step-by-step explanation:

If 12a + 3b = 1 and 7b – 2a = 9, what is the average (arithmetic mean) of a and b ? Add 12a+3b= 1 and 7b-2a=9, then we will get 10a+10b=10 which results 10(a+b)=10. Thus a+b=1. Therefore, the answer is B

Use the definition or identities to find the exact value of each of the remaining five trigonometric functions of the acute angle 8. √6 6 sin 8 cos 0 = (Simplify your answer, including any radicals.

Answers

The exact values of the remaining five trigonometric functions of the acute angle 8 are:

cos 8 = √(5/6)

tan 8 = √(6/5)

csc 8 = √6

sec 8 = (√30) / 5

cot 8 = (√30) / 6

To find the exact value of the trigonometric function, we can use the given information: sin 8 = √6/6 and cos 0 = 1.

First, let's find the value of the remaining trigonometric functions using the definitions or identities:

1. cosine (8):

Using the identity cos^2θ + sin^2θ = 1, we can find cos 8 as follows:

cos^2 8 + sin^2 8 = 1

cos^2 8 + (√6/6)^2 = 1

cos^2 8 + 6/36 = 1

cos^2 8 + 1/6 = 1

cos^2 8 = 1 - 1/6

cos^2 8 = 5/6

Taking the square root of both sides:

cos 8 = ±√(5/6)

Since the angle 8 is acute, the cosine is positive:

cos 8 = √(5/6)

2. tangent (8):

Using the definition of tangent as sin θ / cos θ, we can find tan 8 as follows:

tan 8 = sin 8 / cos 8

tan 8 = (√6/6) / √(5/6)

tan 8 = (√6/6) * √(6/5)

tan 8 = √(6/5 * 6/6)

tan 8 = √(36/30)

tan 8 = √(6/5)

3. cosecant (8):

Using the definition of cosecant as 1 / sin θ, we can find csc 8 as follows:

csc 8 = 1 / sin 8

csc 8 = 1 / (√6/6)

csc 8 = 6/√6

csc 8 = √6

4. secant (8):

Using the definition of secant as 1 / cos θ, we can find sec 8 as follows:

sec 8 = 1 / cos 8

sec 8 = 1 / (√(5/6))

sec 8 = √6/√5

sec 8 = (√6 * √5) / 5

sec 8 = (√30) / 5

5. cotangent (8):

Using the definition of cotangent as 1 / tan θ, we can find cot 8 as follows:

cot 8 = 1 / tan 8

cot 8 = 1 / (√(6/5))

cot 8 = √5 / √6

cot 8 = (√5 * √6) / 6

cot 8 = (√30) / 6

Therefore, the exact values of the remaining five trigonometric functions of the acute angle 8 are:

cos 8 = √(5/6)

tan 8 = √(6/5)

csc 8 = √6

sec 8 = (√30) / 5

cot 8 = (√30) / 6

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If  BD BC, BD = 5x – 26, BC = 2x + 1, and AC = 43, find AB.

Answers

Answer:

AB = 24

Step-by-step explanation:

BD = 5x – 26

BC = 2x + 1

AC = 43

Using the segment addition postulate, AC = AB + BC.

We know that BD = BC, BD = 5x-26 and BC = 2x+1.  We can set up an equation to find the value of x:

5x - 26 = 2x + 1   Subtract 2x from each side

5x - 26 - 2x = 2x + 1 - 2x

3x-26 = 1  Add 26 to each side

3x-26+26 = 1+26

3x=27  Divide both sides by 3

3x/3 = 27/3

x = 9

This means that BC = 2x + 1 = 2(9) + 1 = 18 + 1 = 19.

We know that AC = AB + BC; using our given information as well as the value of BC we just found, we have

43 = AB + 19  Subtract 19 from each side

43 - 19 = AB + 19 - 19

24 = AB


Write each expression in exponential form. -√17

Answers

   The number -√17, expressed as a value or number exponential is -17¹/².

What are exponentials?

  An exponential number is a mathematical expression and one of the many mathematical operations of reduction, it involves the successive multiplication of a number, it has the form:

aᵇ

Where:

a is the number that is multiplied by itself known as the baseb is the number of times it is multiplied

  To convert a root into a exponential we must know the way in which these are related, and it is by means of the following property:

√a = a¹/²

  Now in our case we have -√17 which can be expressed as.

(-1)√17, where 17 = a, then

(-1)17¹/²

-17¹/²

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Write each expression in exponential form. -17

Find the value of x in each case. PLEASE HELP

Find the value of x in each case. PLEASE HELP

Answers

Answer:

x = 23

Step-by-step explanation:

∠ ABE = ∠ BEF = 4x ( alternate angles )

Since DBF is a straight line then the 3 angles sum to 180°, that is

x + 4x + 65 = 180

5x + 65 = 180 ( subtract 65 from both sides )

5x = 115 ( divide both sides by 5 )

x = 23

Helpp please! Explain it too!!

Which sign makes the statement true?

6.70 × 10^3 ___ 6.7 × 10^3
> < =

Answers

Answer:

6.70E3=6.7E3

Step-by-step explanation:

Since the exponents are the same, all we have to do is use the bases.

6.70 {>,<,=} 6.7

6.7 equals 6.70 because the 0 after the 6.7 means nothing.

Express each of the following sums in summation notation and then com- pute where possible. Let X take the values 1-4, 2-2, x3 = 0,4 4, 54 and Y take the values y₁ = -1, 92=-0.5, 93 = 0, y4 1,35 = 1.5. =
(a) 1+ 2+ 3+ 4+ X5
(b) y2 y3+ YA

Answers

The sum in summation notation of the expression (a) 1 + 2 + 3 + 4 + X5, where X takes the values 1-4, is ΣX from 1 to 4. In other words, it represents the summation of X over the range 1 to 4.

In summation notation, the expression (a) 1 + 2 + 3 + 4 + X5 can be written as ΣX, where X takes the values from 1 to 4. The capital sigma (Σ) represents the summation operator, and the variable X is summed over the range 1 to 4. This means that we need to substitute X with each value from 1 to 4 and add them together.

When we evaluate the expression, we have:

ΣX = 1 + 2 + 3 + 4 = 10

However, the expression also includes X5, indicating that X takes the value 5 as well. Therefore, we add 5 to the sum:

ΣX = 10 + 5 = 15

So, the sum of 1 + 2 + 3 + 4 + X5, where X takes the values 1-4, is equal to 15.

Moving on to expression (b) y2 + y3 + Y, where Y takes the values y₁ = -1, y₂ = -0.5, y₃ = 0, y₄ = 1.35, we can express it in summation notation as ΣY from 1 to 3. This represents the summation of Y over the range 1 to 3.

Since Y has a different value for each term, we simply substitute Y with each value from 1 to 3 and add them together:

ΣY = y₁ + y₂ + y₃ = -1 + (-0.5) + 0 = -1.5

Hence, the sum of y₂ + y₃ + Y, where Y takes the values y₁ = -1, y₂ = -0.5, y₃ = 0, y₄ = 1.35, is equal to -1.5.

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One train travels 20 m/s to the east, while another travels 20 m/s to the north. Which statement is trueabout the trains?

They have different speeds and velocity.
They have the same speed and velocity.
They have the same velocity but different speeds.
They have the same speed but different velocity.

Answers

They have the same speed and velocity.

Im not sure if it is the right answer but hope it helps!

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