What are the x and y-intercepts of the line described by this equation? −6x+3y=18.9−6x+3y=18.9 Enter your answers in the boxes in decimal form.

Answers

Answer 1

Answer:

x intercept = -3.15

y intercept = 6.3

Step-by-step explanation:

Given the expression

-6x+3y=18.9

x intercept occurs at y = 0

-6x+3(0)=18.9

-6x = 18.9

x = -18.9/6

x = -3.15

Hence the x intercept is -3.15

y intercept occurs at x= 0

-6(0)+3y=18.9

3y = 18.9

y = 18.9/3

y = 6.3

Hence the y intercept is 6.3


Related Questions

A triangle has three angles that measure 15 degrees, 85 degrees and (4x - 20). What is the value of x?

Answers

180=15+85+(4x-20)
180-15-85=4x-20
80=4x-20
4x-20=80
4x=80+20
4x=100
x=100/4
x=25

Find the Laplace transform of the following functions.(8 pts/each x 8 = 64 pts) a. a(t) = 28(t) + 3+ 4u(t) b. b(t) = 5 – 5e-2t(1 + 2t)

Answers

a. the Laplace transform of a(t) is (28/s^2) + (3/s) + (4/s). b. the Laplace transform of b(t) is 5/s - 10/(s + 2) - 10/(s^3 + 2s^2).

a. To find the Laplace transform of a(t) = 28t + 3 + 4u(t), where u(t) is the unit step function, we can apply the linearity property and the transform of elementary functions.

Applying the linearity property, we can split the transform into three parts:

L{28t} + L{3} + L{4u(t)}

Using the transform of t (L{t} = 1/s^2), we get:

28/s^2 + 3/s + 4/s

Simplifying, we can combine the terms:

(28/s^2) + (3/s) + (4/s)

Therefore, the Laplace transform of a(t) is:

(28/s^2) + (3/s) + (4/s).

b. To find the Laplace transform of b(t) = 5 - 5e^(-2t)(1 + 2t), we can again apply the linearity property and the transform of elementary functions.

Applying the linearity property, we can split the transform into two parts:

L{5} - L{5e^(-2t)(1 + 2t)}

The transform of 5 is simply 5/s.

For the second part, we need to use the transform of e^(-at) and t.

The transform of e^(-at) is 1/(s + a), and the transform of t is 1/s^2.

Using these formulas, we get:

-5/(s + 2)(1 + 2/s^2)

Simplifying and combining terms, we have:

5/s - 10/(s + 2) - 10/(s^3 + 2s^2)

Therefore, the Laplace transform of b(t) is:

5/s - 10/(s + 2) - 10/(s^3 + 2s^2).

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Can someone help me find and answer an equation to the following math question : Natalie earns 5% commission on all electronics she sells.On Monday she sold a television for $1130 and a DR that cost $325. What was the total she earned in commission?

Answers

Answer:

She will make a total commission of $1130+$325=$1445

Then 5% of $1445= $1445×5%=$72,75

Find each x-value at which f is discontinuous and for each x-value, determine whether f is continuous from the right, or from the left, or neither. f (x) = x + 3 if x < 0 3x^2 if 0 lessthanorequalto x lessthanorequalto 1 3 - x if x > 1 x = 3 (smaller value) continuous from the right continuous from the left neither x = 0 (larger value) continuous from the right continuous from the left neither

Answers

The function f(x) is discontinuous at x = 0 and x = 1.To determine the points of discontinuity, we need to look at the different intervals defined by the function.

At x = 0, the function has different definitions for the left and right sides of the point. For x < 0, f(x) = x + 3, and for x ≥ 0 and x ≤ 1, f(x) = 3x^2. Therefore, at x = 0, f(x) is discontinuous. It is continuous from the left (approaching from x < 0) and from the right (approaching from x > 0).

At x = 1, the function has different definitions for the left and right sides of the point. For x ≤ 1, f(x) = 3x^2, and for x > 1, f(x) = 3 - x. Therefore, at x = 1, f(x) is discontinuous. It is continuous from the left (approaching from x ≤ 1) and from the right (approaching from x > 1).

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What do a rectangle and a rhombus have in common? Select all that apply.


Their angle measures add to 360°.
They have four right angles.
They have four congruent sides.
The opposite sides are parallel.

Answers

The opposite sides are parallel.

Their angle measures add to 360°

hi i need help again
(I need help on number 9) ty

Answers

Answer:

You did not take the picture correctly, try taking it again

Step-by-step explanation:

I can’t seeeee

1) Evaluate the following expressions.show your work
a) 7(m - 8) for m = -4

Answers

Answer:

-84

Step-by-step explanation:

Since m=-4, we can plug -4 into the expression and use PEMDAS

7(m - 8)

7((-4)-8)

7(-12)

-84

Expert Answer Please! If The Area Of A 60 Sector In A Circle Is 75.4,Find The Diameter Of The Circle.

Answers

Answer:

multiply 75.4 by 60 =4,524

James has a bank account with $500 that collects 3% interest annually. How much will be in James account after 24 months if no transaction are made?

Answers

Answer:

$360

Step-by-step explanation:

Find 3% of 500 = 15

Multiply 15 by 24 = 360

4th grade math lolll

Answers

Answer:

2/5x7

Step-by-step explanation:

Hey! The answer is 14/5.

There is 7 days in one week, so 7•2/5=14/5

Can I get Brainliest please?

evaluate the line integral c f · dr, where c is given by the vector function r(t). f(x, y, z) = sin(x) i cos(y) j xz k r(t) = t4 i − t3 j t k, 0 ≤ t ≤ 1

Answers

The value of the line integral ∫c f · dr is -cos(1) i - sin(1) j + 1/6 k.

Evaluate the integral?

To evaluate the line integral ∫c f · dr, we need to substitute the given values of f(x, y, z) and r(t) into the integral expression.

[tex]f(x, y, z) = sin(x) i cos(y) j\ x(z) k[/tex]

[tex]r(t) = t^4 i - t^3 j + t k[/tex] ,  0 ≤ t ≤ 1

The line integral becomes:

[tex]\int c f * dr = \int c (sin(x) i cos(y) j x(z) k) * (dx i + dy j + dz k)[/tex]

Substituting [tex]x = t^4,\ y = -t^3, and\ z = t:[/tex]

[tex]\int c f * dr = \int c (sin(t^4) i cos(-t^3) j (t^4)(t) k) * (4t^3 dt i - 3t^2 dt j + dt k)[/tex]

Simplifying the expression:

[tex]\int c f * dr = \int c (4t^3 sin(t^4) dt i - 3t^2 cos(t^3) dt j + t^5 dt k)[/tex]

Integrating each component separately:

[tex]\int c f * dr = (\int 0^1 4t^3 sin(t^4) dt) i - (\int 0^1 3t^2 cos(t^3) dt) j + (\int 0^1 t^5 dt) k[/tex]

Evaluating each integral:

[tex]\int c f * dr = [-(cos(t^4))][/tex] evaluated from 0 to [tex]1 i - [sin(t^3)][/tex] evaluated from 0 to [tex]1 j + [t^6/6][/tex] evaluated from 0 to 1 k

Simplifying the expression:

[tex]\int c f * dr = -cos(1) i - sin(1) j + 1/6 k[/tex]

Therefore, the value of the line integral  [tex]\int c f * dr\[/tex]  is  [tex]-cos(1) i - sin(1) j + 1/6 k.[/tex]

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This equation shows how the amount of time that a receptionist named Terrence spends on the phone is related to the number of phone calls he routes to employees.

t = p + 17

The variable p represents the number phone calls he routes, and the variable t represents the number of minutes he is on the phone. In all, how many phone calls does Terrence have to route to spend a total of 20 minutes on the phone?

phone calls

Answers

hmmm I dunno sorry ......

What is the GCF of each polynomial?

1) -10x^7 + 25x^4 - 25x^2

2) 9v^5 - 24v^4 - 21v^2

Answers

The first one is 5
The second one is 3

state four reasons why choice should be made in satisfaction human wants​

Answers

Since human wants are limitless it helps us to choose the best.
In order to avoid wastage of resources.
In order to pick the best from competitive products.
In order to choose the most urgent need.

The starting salary of a starting teacher is $40,000, which will increase by 2% each year.

Which of the following is the function that models the teacher salary scenario?

The answer choices are in the picture.


Answers

Answer:

The first choice is the correct one.

Step-by-step explanation:

The first choice is the correct one.  It starts with the base salary and then is multiplied by (1 + 0.02)^t, which is the correct formula for compounding once per year.

Choose the compound inequality that can be used to solve the original inequality |3x – 5| > 10.

Answers

Step-by-step explanation:

Nsjssjsjsjshsnmsksjnsnsns

The price of fuel may increase due to demand and decrease due to overproduction. Marco is studying the change in the price of two types of fuel. A and B. over time.
The price in dollars of fuel A after x months is represented by the function below.
10 = 2.961.04)
Part A: is the price of the increasing or decreasing and by what percentage per month? Justify your answer. (5 points)
Part 8: The table below shows the price 9m) in dollars of fuels afer m months
64
m (number of months) 1
3
sim) (price in dollars) 3.04 3.22 3.41 3.61
Which ope of fuel recorded a greater percentage change in pace over the previous month? Justity your answer. (5 points)

Answers

Answer:

A. Increasing by 4%.

Step-by-step explanation:

Answer:

A) The price of product A is increasing by 3% per year.

(B) The product A recorded a greater percentage change in price over the previous year.

Step-by-step explanation:

(A)

The function representing the price, in dollars, of product A after x years is:

FA(x)=0.69*(1.03)x

The function  FA(x)can be written as:

FA(x)=0.69*1+(0.03)x

The function FA(x) is similar to the exponential growth function, y=a(1+r)x .

Here r is the growth rate.

Thus, it can be said that the price of product A is increasing by 3% per year.

(B)

Consider the data of product B for the year 3 and 4.

The price of product B for year 3 and 4 are 10,303.01 and 10,406.04.

Compute the percent price change from year 3 to 4 as follows:

10406.04-10303.01/10303.01*100

which is 0.999%

~1%

The price of product B is increasing by 1% per year.

Thus, the product A recorded a greater percentage change in price over the previous year.

ms.Rivera went to dinner for new year's eve the meal and sodas cost a total of $138 the sales tax in new york state is about 8% and ms Rivera wanted to leave a 20% tip because the service was good. What was the total cost of the meal

Answers

Answer:

138 + 27.6 = 165.6

Step-by-step explanation:

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A bakery produces five types of bagels, two of which are chocolate chip and cinnamon raisin.

(a) If there are at least 10 bagels of each type, how many different selections of 10 bagels are there?

(b) Suppose there are only 3 chocolate chip and 2 cinnamon raisin bagels, but at least 10 of the other three types. How many different selections of 10 bagels are there?

Answers

a) If there are at least 10 bagels of each type, we can calculate the number of different selections of 10 bagels by using the concept of combinations. Since there are 5 types of bagels and we need to select 10 bagels, the calculation can be done as follows:

[tex]\(\binom{10+5-1}{10} = \binom{14}{10}\)[/tex]

b) If there are 3 chocolate chip and 2 cinnamon raisin bagels, and at least 10 of the other three types, we can calculate the number of different selections of 10 bagels using the same concept of combinations. In this case, we have 3 types of bagels (excluding chocolate chip and cinnamon raisin) with at least 10 bagels each. So the calculation becomes:

[tex]\(\binom{10+3-1}{10} = \binom{12}{10}\)[/tex]

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The volume of this cylinder is 4,939.22 cubic millimeters. What is the height? Use a 3.14 and round your answer to the nearest hundredth.​

Answers

Answer:

13 mm

Step-by-step explanation:

V = πr²h

4,939.22 mm³ = 3.14 × (11 mm)²h

4,939.22 mm³ = 3.14 × (11 mm)²h

h = 13 mm

Answer: 13 mm

You spin the spinner shown below once. The spinner has 444 equal sectors colored pink, purple, blue, and green.
What is \text{P(green})P(green)start text, P, left parenthesis, g, r, e, e, n, end text, right parenthesis?
If necessary, round your answer to 222 decimal plac

Answers

hola'

your answer is going to be 2.22 or 0.002 i think .

Answer:

0.75

Step-by-step explanation:

There are 3 favorable outcomes (pink, green, or blue).

There are 4 possible outcomes since there are 4 equal sectors.  

P(not purple)=3/4 =0.75

Find the surface area of the prism.
7 cm
13 cm
5 cm
12 cm
The surface area is

Answers

Answer:

please give more information

Step-by-step explanation:

write an equation, waths the equation for thise graph.

Answers

Answer:

y = -2x + 3

Step-by-step explanation:

If you do rise/run, you recognize that the slope of the line is -6/3, which = -2. You can also see that the y-intercept of the line is at 3.

The equation of a line is represented by y=mx+b, with m being the slope and b being the y-intercept value.

Just plug in -2 as m and 3 as b in y=mx + b, and you will get your answer.

A Susan B. Anthony dollar coin has a diameter of 26.5 millimeters. Round your final answers to the nearest hundredth. Show your steps. 7. What is the radius? 8. What is the circumference? 9. What is the area?​

Answers

Answer:

7. 13.25mm

8. 83.25 mm

9. 551.55 mm²

Step-by-step explanation:

The shape of a coin is circular.

A Susan B. Anthony dollar coin has a diameter of 26.5 millimeters. Round your final answers to the nearest hundredth. Show your steps.

7. What is the radius?

The formula for radius = Diameter/2

= 26.5 mm/2

= 13.25 mm

8. What is the circumference?

The formula for the circumference of a circle = 2πr

= 2× π × 13.25mm

= 83.25220532 mm

Approximately to the nearest hundredth = 83.25 mm

9. What is the area?​

The formula for the area of a circle = πr²

= π × (13.25mm)²

= 551.54586025 mm²

Approximately to the nearest hundredth = 551.55 mm²

Which of the following points lie on the graph of y=x^2-2x+6

Answers

Answer:

Did this help?

Step-by-step explanation:

PLEASE HELP ME!!!! I WILL MARK!!!

Answers

Answer:

6(x - 3 ) = 6x - 18

2(3x - 3) = 6x - 6

Step-by-step explanation:

Look at this graph.
What type of function is shown above?
O A.
exponential
OB. absolute value
OC. polynomial
2021 Frimenti

Answers

Answer:

It's exponential

Step-by-step explanation:

What is A= bh in math?

Answers

A is area
b is base
h is height
This is the formula for the area of a rectangle.

Step-by-step explanation:

In math the area of the parallelogram equal the base times the high

A= bh

Where.....

A stand for (Area)

b stand for (Base)

h stand for (High)

Like shown in the photo above

I hope that is useful for you :)

y=Ax^2 + Bx + C is the solution of the DEQ: y'=87x. Determine A,B. A 'C' is the constant of integration.

Answers

The exact value of A in the general solution is 87/2 and B is 0

How to determine the value of A and B in the general solution

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

y = Ax² + Bx + C

The differential equation is given as

y' = 87x

When y = Ax² + Bx + C is differentiated, we have

y' = 2Ax + B

So, we have

87x = 2Ax + B

By comparing both sides of the equation, we have

2Ax = 87x

B = 0

So, we have

2A = 87

B = 0

Divide both sides of 2A = 87 by 2

A = 87/2

B = 0

Hence, the value of A in the general solution is 87/2 and B is 0

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Which of the following equations? (picture included)

Answers

Answer:

B

Step-by-step explanation:

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