Enter a positive value for n that makes this statement true: 1 x n is greater than 1 but less than 2

Answers

Answer 1

A positive value for n that makes the statement true is n = 1.5.

We need to find a positive value for n that satisfies the given inequality: 1 < 1 x n < 2.
Step 1: Choose a value of n such that it's greater than 1 when multiplied by 1.
Step 2: Ensure the chosen value also makes the product less than 2 when multiplied by 1.
Let's try n = 1.5:
1 x 1.5 = 1.5
Now, let's check if it satisfies the inequality:
1 < 1.5 < 2
Yes, it does. So, a positive value for n that makes the statement true is n = 1.5.

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Related Questions

Please calculate this :

Answers

The value of the expression is determined as 14.

What is the value of the expression?

The value of the expression is calculated as follows;

We will apply the principle known as BODMAS;

B - bracket

O - Off

D - division

M - multiplication

A - addition

S - subtraction

The given expression; = (27 · 3  -  1719 ÷ 1719) ÷ 8 + 5² - 3³  + (8 · 4  -  2·13)

We will simplify the expression as follows;

(27 · 3  -  1719 ÷ 1719) = (81  -  1719/1719) = (81 - 1) = 80

(8 · 4  -  2·13) = (32  -  26) = 6

= 80 ÷ 8 + 5² - 3³  + 6

= (80/8) +  5² - 3³  + 6

= 10 +  5² - 3³  + 6

= (10 + 5² + 6) - 3³

= 41 - 27

= 14

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Find the x intercepts of the parabola with vertex (-1,2) and y intercept (0,3).

Answers

The x intercepts of the parabola with  vertex (-1,2) and y intercept (0,3) does not exist

Finding the x intercepts of the parabola

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

vertex (-1,2) and y intercept (0,3).

A parabola is represented as

y = a(x - h)² + k

Where

Vertex = (h, k)

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

y = a(x + 1)² + 2

Also, we have

a(0 + 1)² + 2 = 3

So, we have

a = 1

This means that

y = (x + 1)² + 2

Set to 0 to calculate the x-intercepts

(x + 1)² + 2 = 0

This gives

(x + 1)² = -2

Take the square root

(x + 1) = comple numbers

Hence, the x intercepts of the parabola does not exist

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In 2017 the population of Rexburg, Idaho was 28,337 people. The population was expected to grow at a rate of about 1.55% per year. Based on these numbers, what would we predict the population of Rexburg will be in the year 2022?

(Round to the nearest whole number.)

Number
people

Answers

Answer: 30,620 people

Step-by-step explanation:

We will use the given formula for exponential growth.

➜ 1.55% / 100 = 0.0155

➜ 2022 - 2017 = 5 years

          [tex]A=Pe^{rt}[/tex]

          [tex]A=(28,337\;people)e^{(0.0155)(5\;years)}[/tex]

          [tex]A=(28,337\;people)e^{0.0775}[/tex]

          [tex]A=(28,337\;people)e^{0.0775}[/tex]

          [tex]A=30,620.4587 \approx 30,620\;people[/tex]

Pls answer this quickly. I need at atleast 70%

Answers

The equation of the line with yellow point in slope intercept form is y = 7 / 6 x + 2.

How to find the equation of a line?

The equation of a straight line can be represented in different form such as slope intercept form, point slope form, etc.

Therefore, let's represent the line with yellow point in slope intercept form.

Hence,

y = mx + b

where

m = slopeb = y-intercept

Therefore, using (0, 2) and (6, 9).

m = 9 - 2 / 6 - 0

m = 7 / 6

Hence, let's find the y-intercept

y = 7 / 6 x + b

2 = 7 / 6(0) + b

b = 2

Therefore,

y = 7 / 6 x + 2.

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(i) This case study is based on Magma printers, a large printing company specializing in newspaper printing. They have 10 state of the art printers in the printing area. The probability of a machine breaking down is 10%. They require at least 8 machines to be functioning in order to meet all the printing requirements for the day. Printing orders for Magma printers arrive at an average rate of 5 orders per hour. Assume these orders follow a Poisson distribution. (a) Calculate the probability that exactly 4 orders will arrive in 30 minutes? (b) Determine the probability that at least 2 orders will arrive in an hour?

Answers

(a) The probability that exactly 4 orders will arrive in 30 minutes is 0.1127

(b) The probability that at least 2 orders will arrive in an hour is 0.7586.

How to calculate the probability

(a)  We need to adjust λ to reflect the 30-minute time interval:

λ = 5 orders per hour * 0.5 hours = 2.5 orders in 30 minutes

Now we can plug in the numbers and calculate the probability:

P(X = 4) = ([tex]e^{2.5}[/tex]) *) [tex]2.5^{4}[/tex]/ 4! = 0.1127

(b) We can use the Poisson probability formula again, with λ = 5 orders per hour and x = 0 or 1:

P(X < 2) = P(X = 0) + P(X = 1) = 0.0404 + 0.2010 = 0.2414

Then we can subtract this from 1 to get the probability that at least 2 orders will arrive in an hour:

P(X ≥ 2) = 1 - P(X < 2) = 1 - 0.2414 = 0.7586

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Given f(x) = 3x² + 9x - 16, find f(-8)

Answers

Answer:

To find f(-8), we need to substitute -8 for x in the expression for f(x) and evaluate:

f(-8) = 3(-8)² + 9(-8) - 16

Simplifying this expression, we get:

f(-8) = 3(64) - 72 - 16

f(-8) = 192 - 72 - 16

f(-8) = 104

Therefore, f(-8) = 104 when f(x) = 3x² + 9x - 16.

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F(-8)=104 is the answer given 3x^2 + 9x - 16

What is the function equation for the graph below?

Answers

The function equation for the graph above include the following: B. f(x) = -[x] + 3.

What is a greatest integer function?

In Mathematics and Geometry, a greatest integer function can be defined as a type of function which returns the greatest integer that is less than or equal (≤) to the number.

Mathematically, the greatest integer that is less than or equal (≤) to a number (x) is represented as follows:

y = [x].

By critically observing the given graph, we can logically deduce that the parent function was reflected over the y-axis (negative slope) and it was vertically translated from the origin by 3 units up;

y = [x]

f(x) = -[x] + 3.

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Express sin L as a fraction in simplest terms

Answers

The SinL as a fraction in the simplest form is 12/13.

We are given

The side NM = 5,

The side LM = 12,

By using Pythagoras' theorem, we can say that;

NL² = NM² + LM²

Substitute the values of NM and LM;

NL² = 12² + 5²

NL = 13,

For Sin L = perpendicular side/hypotenuse side

Sin L = NM / NL,

Sin L = 12/13

Therefore, the SinL as a fraction in the simplest form is 12/13

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A sporting goods store records the sales of gloves over a 10-day period. They also record each day’s low temperature. The scatter plot shows the data and a good line of fit. The equation for the line of fit shown is y = -1.2x + 122. What is the y-intercept of the equation, and what does it mean?

Answers

The y- intercept represents the anticipated number of gloves  vended on a day when the low temperature is 0 degrees.    

The terms you mentioned are  formerly included in the problem description.  The y- intercept of the equation is the value of y when x =  0. In the given line of fit equation,

y = -1.2 x 122, the y- intercept is 122.  The y- intercept represents the anticipated number of gloves  vended on a day when the low temperature is 0 degrees. In this case, when the low temperature is 0,

the store is  prognosticated to  vend 122 gloves. Keep in mind that this is an estimate grounded on the line of fit and may not be an exact value.

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please help me with my geometry i cant fail this class or i’ll have to move out of my parents house :(

Answers

The required answer is mAD = 126°

How did we get the value?

Step 1: Recall Inscribed Angles of a Circle Theorem.

Step 2: It means m∠ABD ≡ m∠ACD. So, it can be written:

(11x - 3)° (8x + 15)°

Step 3: Evaluate for x:

11x - 3 = 8x + 15

X = 6

Step 4: Substitute x = 6 in 11x - 3 as:

11(6) - 3

Step 5: Evaluate for answer:

11 × 6 - 3

= 63

Step 6: Now recall Measure of an Inscribed Angle:

m∠ABD = ¹/₂ MAD

Step 7: Substitute m∠ABD = 63 in above equation:

63 = ½ mAD

Step 8: Evaluate for answer:

63 = ¹/₂ AD

AD = 126

Step 9

Thus, the required answer is:

MAD = 126°

Solution

The required answer is:

mAD = 126°

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HELPPP please 5 stars to the correct answer

Answers

Answer:

46.48 cm

----------------------

AB and AC are perpendicular since AB is tangent to circle at point A.

BC is the hypotenuse of ΔABC and it length is:

BC = AC + 20BC = 44 + 20BC = 64

Find the length of AB using Pythagorean theorem:

[tex]AB=\sqrt{BC^2-AC^2}[/tex][tex]AB=\sqrt{64^2-44^2} =\sqrt{2160} =46.48\ rounded[/tex]

What is the equation of the line that passes through the points given in the table x -3, 3, 6 y 3, 5, 6,
A y= -3x - 6
B y = -1/3x + 8
C y= 1/3x + 4
D y= 3x - 12

Answers

Answer:

C. y = 1/3x + 4

Step-by-step explanation:

To find the equation of the line that passes through the given points, we can use the slope-intercept form of the equation of a line, which is:

y = mx + b

where m is the slope of the line and b is the y-intercept.

To find the slope of the line, we can use the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are any two points on the line. We can choose the points (x1,y1) = (-3,3) and (x2,y2) = (6,6) from the table.

m = (6 - 3) / (6 - (-3)) = 3/9 = 1/3

Now that we have the slope, we can use the point-slope form of the equation of a line to find the y-intercept:

y - y1 = m(x - x1)

where (x1,y1) is any point on the line. We can choose the point (x1,y1) = (3,5) from the table.

y - 5 = (1/3)(x - 3)

Now we can solve for y to get the equation in slope-intercept form:

y = (1/3)x + (5 - 1/3*3)

y = (1/3)x + 4

Therefore, the equation of the line that passes through the given points is C) y= 1/3x + 4.

Rewrite the equation 5(x – 3) = x + 13 with 6 substituted for x. Write a question mark over the equal sign to show that you're testing to see if the equation is true. edmentum math practice. PLEASE HELP ME.

Answers

Answer:

Step-by-step explanation:

5(x - 3) ? x + 13

if x = 6

5(6 - 3) ? 6 + 13

15 ? 19

15 ≠ 19

Step-by-step explanation:

When substituting 6 for x, the equation becomes:

5(6 - 3) ?= 6 + 13

Now, we can solve both sides of the equation:

5(3) ?= 6 + 13

15 ?= 19

Since these are not equal, the equation is not true for x = 6.

If m d=18 and m c = 45 what is m bc

Answers

The measure of angle BC is 27 degrees.

To find the measure of angle BC, we need to use the angle sum property of triangles. In triangle ABC, the sum of all angles is equal to 180 degrees. We know that angle ACD is a straight angle and therefore measures 180 - 45 = 135 degrees.

Additionally, we know that angle ADB is also a straight angle and therefore measures 180 - 18 = 162 degrees.

To find angle BCD, we subtract the measure of angle ACD from the measure of angle ADB, which gives us:

m BCD = m ADB - m ACD
m BCD = 162 - 135
m BCD = 27 degrees

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A plumber charges fixed and per hour. He did a job for a neighbor for 3 hours, he charged $140. To another
neighbor the plumber charged him $232 for 7 hours.

1.Find out how much he charges per hour
2. how much fixed rate
3. the equation that tells how much the plumber earns.
4. how much would you earn if you worked 5.75 hours

Answers

The plumber charges $23 per hour, the plumber charges a fixed rate of $71 and If someone worked for 5.75 hours, their earnings would be $203.25

To find the plumber's hourly rate, we can use the given information and set up two equations:

3h + f = 140 (where h is the hourly rate and f is the fixed rate for the first job)

7h + f = 232 (where h is the hourly rate and f is the fixed rate for the second job)

We can solve for h by subtracting the first equation from the second equation:

4h = 92

h = 23

Therefore, the plumber charges $23 per hour.

To find the plumber's fixed rate, we can substitute h = 23 into one of the equations and solve for f:

3h + f = 140

3(23) + f = 140

69 + f = 140

f = 71

Therefore, the plumber charges a fixed rate of $71.

The equation that tells how much the plumber earns can be written as:

Earnings = (hourly rate x number of hours) + fixed rate

or E = 23h + 71

If someone worked for 5.75 hours, their earnings would be:

Earnings = (hourly rate x number of hours) + fixed rate

Earnings = (23 x 5.75) + 71

Earnings = 132.25 + 71

Earnings = $203.25

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Multiplication What 7 x 4 / 8

Answers

Answer:

7/2

Step-by-step explanation:

7 x 4 / 8

= 7 x 1/2

= (7 x 1)/2

= 7/2

Note

1. When you see a fraction, first simplify the numerator and denominator.

That is,

In 4/8,

4 is the numerator

8 is the denominator

4/8 = 1/2

2. Multiply number with numerator, then divide it with the denominator

7 x 1/2

7 x 1 = 7

(7 x 1)/2 = 7/2

23/100 equals what percent 23%.69%, 11.5% 46%​

Answers

Answer:

23/100 equals 23%.

Answer: 23%

Step-by-step explanation: When doing these problems, remember, 100 and a 100% are the same thing, so when you have a problem like this, divide 25 by 100, then multiply by a 100.

What is the surface area of the triangular prism?
S.A.=blank ft/2
4ft,3ft,2ft,5ft
PLEASE HELP!
I NEED IT FOR MONDAY BEFORE MIDNIGHT
I’LL GIVE BRAINLEST
LEFEL F NET AND SURFACE AREA

Answers

The surface area of the triangular prism is 84 ft/2

How to solve

The surface area of a triangular prism is found with: Area = bh + (s1 + s2 + s3)L.

Given a 4ft base, 3ft height, 5ft slant height, and 2ft length, we substitute to get:

Area = (4ft3ft) + 3(5ft*2ft) =

[tex]12ft^2 + 30ft^2 = 42ft^2.[/tex]

In the specified format, the surface area of the triangular prism is 84 ft/2.

This is because the format given is blank ft/2

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Could you provide the formula to calculate the surface area of a triangular prism, given dimensions of 4ft, 3ft, 2ft, and 5ft? The surface area should be presented as (blank ft/2).

The following table list two investment plans, A and B. Given this information, determine which investment is an ordinary annuity and the future value of the ordinary annuity after one year, given that both investments, A and B, compound interest monthly at the rate of 3.5%. Round to the nearest cent.
A 13-column table with 2 rows. Column 1 has entries A, B. Column 2 is labeled January with entries 350, blank. Column 3 is labeled February with entries 350, 350. Column 4 is labeled March with entries 350, 350. Column 5 is labeled April with entries 350, 350. Column 6 is labeled May with entries 350, 350. Column 7 is labeled June with entries 350, 350. Column 8 is labeled July with entries 350, 350. Column 9 is labeled August with entries 350, 350. Column 10 is labeled September with entries 350, 350. Column 11 is labeled October with entries 350, 350. Column 12 is labeled November with entries 350, 350. Column 13 is labeled December with entries blank, 350.
a.
Investment A is an ordinary annuity with $3,918.03 in the account after 1 year.
b.
Investment B is an ordinary annuity with $3,918.03 in the account after 1 year.
c.
Investment A is an ordinary annuity with $3,906.64 in the account after 1 year.
d.
Investment B is an ordinary annuity with $3,906.64 in the account after 1 year

Answers

Investment B is an ordinary  subvention with$ 3,906.64 in the account after one time. The correct answer is option d.    

To determine which investment is an ordinary  subvention and the  unborn value after one time, we first need to understand that an ordinary  subvention is a series of equal payments made at the end of each period.

Given the table, we can see that Investment A has payments starting in January and ends in November( missing December), while Investment B starts in February and ends in December.

thus, Investment B is the ordinary  subvention since the payments are made at the end of each month.  Now let's calculate the  unborn value of Investment B after one time  

1. Convert the periodic interest rate to a yearly rate( 10.035)(1/12)- 1 ≈0.002867

2. Determine the number of payments made 11 months  3. Use the  unborn value of  subvention formula FV =  P *(( 1 r) n- 1)/ r  

Where P =  yearly payment($ 350),

r =  yearly interest rate(0.002867), and n =  number of payments( 11) . Plug in the values

FV =  350 *(( 10.002867) 11- 1)/0.002867 ≈3906.64  

So, Investment B is an ordinary  subvention with$ 3,906.64 in the account after one time. The correct answer is optiond.

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express 2/5-4/y+3 as a single fraction

Answers

Answer:

To express the expression 2/5 - 4/y + 3 as a single fraction, we need to find a common denominator for the fractions involved.

The common denominator for 5 and y is 5y.

First, we'll rewrite 2/5 as an equivalent fraction with the denominator 5y:

2/5 = (2 * y)/(5 * y) = 2y/5y

Next, we'll rewrite 4/y as an equivalent fraction with the denominator 5y:

4/y = (4 * 5)/(y * 5) = 20/5y

Now, we can rewrite the expression with the common denominator 5y:

2y/5y - 20/5y + 3

Since the denominators are now the same, we can combine the numerators:

(2y - 20 + 3 * 5y)/(5y)

Simplifying further:

(2y - 20 + 15y)/(5y) = (17y - 20)/(5y)

Thus, the expression 2/5 - 4/y + 3 can be expressed as a single fraction: (17y - 20)/(5y).

Solve -8x = 56 for x.
Ox=6
Ox= -7
Ox=7
Ox= -8

Answers

-7.

Explanation: 8 is multiplying with X. Therefore you must do the opposite to the answer. 56/-8= -7.

Answer:

-7

Step-by-step explanation:

you divide -8 on both sides

the two -8 on your left will cancel each other

and 56 divided by-8=-7

What is the volume of a right circular cylinder with a diameter of 10 meters and a height of 16 meters. Leave the answer in terms of π.

400π m3
1,600π m3
160π m3
1,256π m3

Answers

Answer:

400π m3

Step-by-step explanation:

V = πr^2h

V = π(5^2)(16)

V = π(25)(16)

V = 400π

While browsing at her local farmers' market, Lexi stops at a booth selling fancy candles and hand soaps. She has
$50 to spend. Candles cost $12.50 each, and hand soaps cost $5 each.
Graph the inequality that represents how many candles, x, and hand soaps, y, Lexi can buy.
Plot points on the boundary line. Select the line to switch between solid and dotted. Select a region to shade it.

Answers

The graph represents the valid region of the number of candles and hand soaps that Lexi can buy with her $50 budget.

To shade the region that satisfies the inequality, we need to determine which side of the line represents the valid region. Since the inequality is less than or equal to, the valid region is the one below the line.

Let x be the number of candles that Lexi buys and y be the number of hand soaps that she buys. The cost of x candles is 12.50x and the cost of y hand soaps is 5y. Lexi has $50 to spend, so we can write the following inequality:

12.50x + 5y ≤ 50

To graph this inequality, we first need to graph the boundary line, which is the equation obtained by replacing the inequality sign with an equal sign:

12.50x + 5y = 50

We can rewrite this equation in slope-intercept form as:

y = -2.50x + 10

To plot points on the boundary line, we can choose any two values of x and solve for the corresponding values of y. For example, if we let x = 0, then y = 10, so one point on the line is (0,10). If we let x = 4, then y = 0, so another point on the line is (4,0).

We can now graph the boundary line, which has a slope of -2.50 (meaning it goes down and to the right) and a y-intercept of 10 (meaning it intersects the y-axis at the point (0,10)). To switch between a solid and dotted line, select the "solid line" or "dotted line" option in the graphing tool.

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I NEED HELP PLEASEEE

Answers

A description that best compare the graph of the functions is: B. the line for function A is steeper.

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:

y - y₁ = m(x - x₁)

Where:

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

First of all, we would find the slope of function B;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (-1 + 2)/(3 - 0)

Slope (m) B = 1/3.

At data point (0, -1) and a slope of 1/3, function B can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y + 1 = 1/3(x - 0)

y = 1/3(x) - 1

In conclusion, the line for function A is steeper because it has a greater slope than function B i.e 3 > 1/3.

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What are the answer these questions?

Answers

The right Riemann sum is an overestimate.

The left Riemann sum is an underestimate.

For n=2, the interval [0,1] is divided into 2 subintervals of equal width, so Δx = (1-0)/2 = 1/2.

Left Riemann Sum with n=2:

The left endpoints of the subintervals are x=0 and x=1/2.

f(0) = e⁰ = 1

f(1/2) = [tex]e^1^/^2[/tex]

So, the left Riemann sum is:

Δx[f(0) + f(1/2)] = (1/2)[1 +[tex]e^1^/^2[/tex]] = (1/2) + (1/2)[tex]e^1^/^2[/tex]

sum = (1/2) + (1/2)[tex]e^1^/^2[/tex]

Right Riemann Sum with n=2:

The right endpoints of the subintervals are x=1/2 and x=1.

f(1/2) = [tex]e^1^/^2[/tex]

f(1) = e¹ = e

So, the right Riemann sum is:

Δx[f(1/2) + f(1)] = (1/2)[[tex]e^1^/^2[/tex] + e] = (1/2)[tex]e^1^/^2[/tex] + (1/2)e

sum = (1/2)[tex]e^1^/^2[/tex]+ (1/2)e

Since [tex]e^1^/^2[/tex] > 1, the right Riemann sum is an overestimate, and the left Riemann sum is an underestimate.

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A school is gathering some data on its sports teams because it was believed that the distribution of boys and girls were evenly distributed across all the sports. This table lists the number of boys and girls participating in each sport.

Boys Girls
Tennis 18 30
Soccer 42 15
Swimming 12 18

Select the observed and expected frequencies for the boys participating in soccer.

a) Observed: 42 Expected: 22.5

B) Observed: 42 Expected: 24

C) Observed: 57 Expected: 24

D) Observed: 57 Expected: 22.5

Answers

The observed frequency = 42, and the expected is 22.5.

option A.

What is the observed and expected frequencies?

The observed and expected frequencies for the boys participating in soccer is calculated as follows;

Total boys = 18 + 42 + 12 = 72

Total girls = 30 + 15 + 18 = 63

Total number of the students = 72 + 63 = 135

Ratio of boys = 72/135 = 0.533

Ratio of girls = 63 / 135 = 0.467

The observed and expected frequencies for the boys participating in soccer is calculated as follows;

Expected frequency = 0.534 x 42

= 22.4

Thus, the observed frequency = 42, and the expected is 22.5.

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Answer:

Observed: 42

Expected: 24

Step-by-step explanation:

If we simply go to the chart then we can directly see the observed frequency for boys participating in soccer is 42.

To find the expected frequency, we need to find the number of occurrences if the null hypothesis is true, which in this case, was that the three options are equally likely, or if the three options were all evenly distributed.

First, add up all the options in the boys column:

18 plus 42 plus 12 equals 72

If each of these three options were evenly distributed among the 72 boys, we would need to divide the total evenly between the three options:

72 divided by 3 equals 24

This means we would expect 24 boys to choose tennis, 24 boys to choose soccer, and 24 boys to choose swimming.

3.2 Blood groups in humans are controlled by multiple alleles. As a result, there
are four possible blood groups: A, AB, B and O. Study the graph below
which shows the percentage of people that have different blood group and
then answer the questions that follow.
Percentage of people with
different blood groups
3.2.1
3.2.2
3.2.3
60-
50
40
30
20
10-
24
49
38
A
Blood groups
10
B
3
AB
Explain what is meant by multiple alleles.
Which blood group is the least common in the human population?
Recent population statistics show that KwaZulu-Natal has a human
population of approximately 9,2 million. Calculate the number of
people who will have blood group O in KwaZulu-Natal.
9.2 million
49:100
(2)
(2)

Answers

Answer:

5.52 million people with blood group O in KwaZulu-Natal.

Step-by-step explanation:

Multiple alleles refer to the existence of more than two possible alleles (or variations) of a gene within a population. In the case of blood groups, there are multiple alleles for the gene that controls blood type, resulting in the four possible blood groups: A, AB, B, and O.

The blood group AB is the least common in the human population, with only 3% of people having this blood type.

To calculate the number of people who will have blood group O in KwaZulu-Natal, we need to multiply the total population by the percentage of people with blood group O.

9.2 million x (60/100) = 5.52 million people with blood group O in KwaZulu-Natal.

What is the probability that both events occur?

Answers

Answer:

P(A and B) = P(A)P(B)

= (1/3)(1/2) = 1/6

= about .17 = about 17%

1/6, because 1/3 (1 and 6 out of 1, 2, 3, 4, 5, and 6) x 1/2 (2, 4, 6 out of 1, 2, 3, 4, 5, 6)

Solve the system of equations:
3x-8y+z=8
-x+y-z = -1
x-3y = 3
X=
Y=
Z=

Answers

Step 1: Add Equation 2 and Equation 3 to eliminate z.

(-x + y - z) + (x - 3y) = -1 + 3

y - 4y = 2

-3y = 2

y = -2/3

Step 2: Substitute the value of y (-2/3) into Equation 3 to find the value of x.

x - 3(-2/3) = 3

x + 2 = 3

x = 1

Step 3: Substitute the values of x and y into Equation 1 to find the value of z.

3(1) - 8(-2/3) + z = 8

3 + 16/3 + z = 8

9/3 + 16/3 + z = 8

25/3 + z = 8

z = 8 - 25/3

z = 24/3 - 25/3

z = -1/3

Therefore, the solution to the system of equations is:

x = 1

y = -2/3

z = -1/3

I need help graphing 2x-5y=10

Answers

Answer:

Try the desmos graphing calculator:

Step-by-step explanation:

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