Write an equation for the line that passes through (0, -9) and (3, 0).
y = 3 x + 9
y = 3 x + 3
y = 3 x - 9
y = -9 x + 3

Answers

Answer 1

Answer:

y = 3x - 9    

Step-by-step explanation:

1) First, find the slope of the line between the two points. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] and substitute the x and y values of (0,-9) and (3,0) into the formula and simplify:

[tex]m = \frac{(0)-(-9)}{(3)-(0)} \\m = \frac{0+9}{3} \\m = 3[/tex]

So, the slope is 3.

2) Look at all the options. All the equations are in slope-intercept form since they are in a [tex]y = mx + b[/tex] format. Remember that [tex]m[/tex], or the coefficient of the x-term, is the slope. [tex]b[/tex], or the y-intercept, represents the y-intercept.

Knowing this, the answer must be [tex]y = 3x-9[/tex]. The number in place of [tex]m[/tex] is 3, which is the slope we just calculated. Also, since we know that the line passes through (0, -9), that must be the y-intercept since all points on the y-axis have an x-value of 0.


Related Questions

I do not have an answer to this question: Keith buys a bad of dog food. The bag contains 16 1/2 cups of food. If his dog eats 1 3/8 cups a day, how long will the bag last?

Answers

Answer:

12 days

Step-by-step explanation:

3/8=.375

16.5 divided by 1.375 equals to 12. I hope that helps.

4-(6x1000)+99-490=
i need u guys help and thank you

Answers

Answer:

-6387

Step-by-step explanation:

I have a feeling you're just giving away points :)

Mark had 3 times as many quarters as nickels. He had $1.60 in all. How many nickels and how many quarters did Mark have? x represents . 3x represents .

Answers

Answer:

x represents nickels = 2

3x represents number of quarters = 6

Step-by-step explanation:

x represents nickels

3x represents number of quarters

We'll multiply each of those times the value of the coin they represent, and make that equal to the total amount of money Mark has to get the value of x

x(0.05) + 3x(0.25) = 1.60

0.05x + 0.75x = 1.60

0.80x = 1.60

x = 2 = number of nickels

So 3x = 6 = number of quarters

Checking the math:

2(0.05) + 6(0.25)= 0.10 + 1.50 = 1.60

What is the area of this figure?
6mi
5mi
8mi
square miles

Answers

Answer:

6x5x8=240 square miles ([tex]240^2}[/tex])

Which equation shows how to find the
angle measure of the part of the circle
without the arrow?

Answers

B because it can be A since a circle is 360 degrees and an arrow is only 90 degrees so that is why i think B

please helppppppppppp...... 17 points

Answers

Answer:

x = 24.5

Step-by-step explanation:

the angles form a straight line, and a straight line equals to 180°

=> (5x + 8) + (3x - 24) = 180

=> 8x = 196

=> x = 24.5

Determine the value of variable in the following
equation:
2x + 40 = 30

Answers

Answer: x = -5

Steps:
2x + 40 = 30
2x = 30 - 40
2x = -10
x = -10 / 2
x = -5
I believe the answer is x=-5


Write an equation to model the situation

Jack works at a t-shirt store. Jack earns $150 a week plus $2 for every t-shirt (T) that
he sells. If Jack's gross pay at the end of the week is $320, how many t-shirts did he sell?

Answers

Jack sold 85 shirts

Which rectangle will have the largest area?

l = 6 cm, w = 5 cm
l = 6 cm, w = 7 cm
l = 4 cm, w = 10 cm
l = 9 cm, w = 4 cm
Help ASAP!!

Answers

Answer:

l = 6 cm, w = 7 cm

Step-by-step explanation:

The side length of thr hexagon is 16 centimeters,and the length of the digonal shown is 32 centimeters. Charles measured the height of one of trapezoids and found that the height of one of the trapezoids and found that the height was 13.9 centimeters. Find the area of the hexagon.

Answers

Answer:

669cm2

correct question

Charles drew a regular hexagon and divided it into two identical trapezoid , the side length of the hexagon iscoming16cm,the diagonal shown in fig 30 is 32 cm Charles measure the height of one the trapezoid and found that the height was 13.9 cm find the area of the area

Step-by-step explanation:

The side length of the hexagon should be given which is 16 cm

To get the Length the side length makes with the height of the trapezium, Pythagoras theorem is applied to get the base of the triangle

Base = √((16)^2 - (13.9)^2

Base = √62.29

Base = 7.92cm

Since we have gotten the base

Diagonal - the base gives the top length of the trapezium.

32- 7.92- 7.92 = 16.16

The area of the hexagon gives the 2 times of the trapezium.

To find the area of the trapezium

= 1/2 * ( a+b)h

= 1/2* ( 32+ 16.16)* 13.9

= 24.04*13.9

Area of the trapezium = 334.71cm2

= 334.71 * 2

= 669.42cm2

Hope this helps

What is all the partial products for 3.4 x 1.2

Answers

Answer:

4.09

Step-by-step explanation:

Hope it helps. That is the answer

The partial product of 3.4 x 1.2 is (3 + 0.4) x (1 + 0.2).

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

3.4 x 1.2

3.4 is equal to 3 + 0.4.

1.2 is equal to 1 + 0.2.

Now,

(3 + 0.4) x (1 + 0.2)

= 3 + 0.6 + 0.4 + 0.08

= 3 + 1 + 0.08

= 4 + 0.08

= 4.08

Thus,

3.4 x 1.2 is equal to (3 + 0.4) x (1 + 0.2).

Learn more about expressions here:

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write a real world problem that could be represented by 1/5 x 5 = 1

Answers

Answer:

Each person received 1/5 of a pizza. There were 5 people in total. How much pizza was there originally before the split?

7W + 3 = -4W - 85

a. -11
b. 11
c. 8
d. -8

Answers

-8
Step 1) Subtract 3 from both sides of the equation
Step 2) Add 4W to both sides of the equation
Step 3) Divide both sides of the equation by the same factor

On the number line, plot and label all numbers with an absolute value of 32. Where did you place the points?

Answers

Answer:

on 32 and -32

Step-by-step explanation:

Find the accumulated value of an investment of $14,000 at 10% compounded semiannually for 11 year

Answers

Given:

Principal = $14000

Rate of interest = 10% compounded semiannually.

Time = 11 years.

To find:

The accumulated value of the given investment.

Solution:

Formula for amount or accumulated value after compound interest is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is the principal values, r is the rate of interest in decimal, n is the number of times interest compounded in an year and t is the number of years.

Compounded semiannually means interest compounded 2 times in an years.

Putting [tex]P=14000,r=0.10,n=2,t=11[/tex] in the above formula, we get

[tex]A=14000\left(1+\dfrac{0.10}{2}\right)^{2(11)}[/tex]

[tex]A=14000\left(1+0.05\right)^{22}[/tex]

[tex]A=14000\left(1.05\right)^{22}[/tex]

[tex]A\approx 40953.65[/tex]

Therefore, the accumulated value of the given investment is $40953.65.

Answer:

A = $41,867.06

A = P + I where

P (principal) = $14,000.00

I (interest) = $27,867.06

Step-by-step explanation:

Given: Investment = $14,000 Annual Rate: 10% compounded semiannually = 11 year

To find: The accumulated value of an investment

Formula: [tex]A = P(1 + \frac{r}{n}) ^n^t[/tex]

Solution: First, convert R as a percent to r as a decimal

r = R/100

r = 10/100

r = 0.1 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 14,000.00(1 + 0.1/12)(12)(11)

A = 14,000.00(1 + 0.008333333)(132)

A = $41,867.06

Henceforth:

The total amount accrued, principal plus interest, with compound interest on a principal of $14,000.00 at a rate of 10% per year compounded 12 times per year over 11 years is $41,867.06.

find the erea of the trapezoid.

Answers

Answer:

36

Step-by-step explanation:

A (base) 6

B (Base) 12

H (height) 4

Part A: The area of a square is (16x^2 − 8x + 1) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work.

Part B: The area of a rectangle is (81x^2 − 4y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work.

Answers

Answer:

Step-by-step explanation:

hello :

here is an solution

y=(x-1)^2-9 standard form

Answers

Answer:

Y=x^2-2x-8

Step-by-step explanation:

rgbrgbrgbgbeefweuvhuuvhduvwg

The standard form of the equation y=(x-1)²-9 is y=x²-2x-8

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

y=(x-1)²-9 equation is in the form of a quadratic equation

where y is the unknown variable and x is the known variable.

The equation can be written in standard form by expanding the (x-1)² term and combining like terms.

y=(x-1)²-9

y=x²+1-2x-9

Combine the like terms

y=x²-2x-8

The expanded form of the equation is y=x²-2x-8

Hence, the standard form of the equation y=(x-1)²-9 is y=x²-2x-8

To learn more on Equation:

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Identify whether the following equation has a unique solution, no solution, or infinitely many solutions. 3 + 5= 8

Answers

Answer:

to me it's a simple solution

Step-by-step explanation:


What is the cost with sales tax for the phone? Assume that the sales tax is 6%, or 0.06 times the price.

Answers

Answer:

$0.06x

Step-by-step explanation:

Well, you didn’t give us a value for the phone so let’s say the phone is x. . .

Let x=the price of the phone.

x * 0.06=0.06x

Answer:

Step-by-step explanation:

a

PLSSSS HELP ME ALOT OF CREDITS AND BRAINLIST IF YOU HELP ME!!!!!

Answers

G. A. B. O

By probability in the chart, it goes from most to least that is grapes, apples, bananas and oranges

2. The truth will prevail. (Justify your answers, no justification, no credit). (12 points each) a) In any given sample, the median is never larger than the mean, unless the distribution is symmetric. True or False. b) The sign of the correlation coefficient provides us with information regarding how good a line fits the data points we are studying. True or False. c) The range is always larger than the inter-quartile range. True or False

Answers

Answer:

False ;

False ;

False

Step-by-step explanation:

In a perfectly symmetric distribution, the mean and Median values are the same. But for skewed distributon, the median is greater than the mean (negatively skewed or left skewed data). Hence, the assertion is false.

The sign of the correlation Coefficient does not give information about how good a line fits. The sign attached to the correlation Coefficient gives information about the slope and hence, the type of relationship between the variables.

Positive (+) sign = positive relationship between variables ; negative (-) sign = negative relationship between variables.

C.)

The value of the range is not always higher Than the value of the interquartile range. The IQR might have the same value as the value of the range.

For instance :

Given the data :

1, 1, 1, 2, 2, 3, 4, 4, 4

Range = maximum - minimum

Range = 4 - 1 = 3

Interquartile range (IQR) :

IQR = Q3 - Q1

Q3 = 3/4(n+1)th term

Q3 = 3/4(10) = 7.5th term

Q3 = (7th + 8th) / 2 = (4+4)/2 = 4

Q1 = 1/4(10) = 2.5th term

Q1 = (2nd + 3rd) / 2

Q1 = (1 + 1) /2 = 1

Q3 - Q1 = 4 - 1 = 3

ye I need some help, please

Answers

Answer:

(1,0) (2,1) (4,4)

y<x+1 (for the dashed line)

y≥-2x+2 (for the solid line)

Step-by-step explanation:

(PLEASE HELP) A group of people are sharing some pie. Each person gets the same amount of pie.
Which sentence represents each person getting of a pie?
A. 4 people share 1/5 of a pie.
B. 5 people share 1/4 of a pie.
c. 4 people share 5 pies.
D. 5 people share 4 pies.

Answers

Answer:

a.4 people share 1/5 of a pie

Step-by-step explanation:

When 1 is added to one-half of number x, the result is 3. What is the value of x?
A) 1
B) 3
C) 4
D) 6
E) 8
And why?

Answers

Answer:

C) 4

Step-by-step explanation:

1 + x/2 = 3

x/2 = 2

x = 4

The value of x is 4.

Start with 4. Half of 4 is 2. Add 1. You get 3. 4 makes the problem work, so 4 is the answer.

Answer: C) 4

Suppose that $10,083 is invested at an interest rate of 6.8% per year, compounded continuously.

a) Find the exponential function that describes the amount in the account after time t, in years.

b) What is the balance after 1 year? 2 years? 5 years? 10 years?

c) What is the doubling time?

Answers

Answer:

a) The exponential function is [tex]A(t) = 10083(1.068)^t[/tex]

b)

The balance after 1 year is of $10,768.644

The balance after 2 years is of $11,500.91

The balance after 5 years is of $14,010.25.

The balance after 10 years is of $19,467.15

c)

The doubling time is of 10.54 years.

Step-by-step explanation:

Continuously compounded interest:

The amount of money earning after t years, with interest compounded continuously, is given by:

[tex]A(t) = A(0)(1+r)^t[/tex]

In which A(0) is the amount of the initial investment and r is the growth rate, as a decimal.

a) Find the exponential function that describes the amount in the account after time t, in years.

Suppose that $10,083 is invested at an interest rate of 6.8% per year

This means, respectively, that [tex]A(0) = 10083, r = 0.068[/tex]

So

[tex]A(t) = A(0)(1+r)^t[/tex]

[tex]A(t) = 10083(1+0.068)^t[/tex]

[tex]A(t) = 10083(1.068)^t[/tex]

b) What is the balance after 1 year? 2 years? 5 years? 10 years?

After 1 year:

[tex]A(1) = 10083(1.068)^{1} = 10,768.644[/tex]

The balance after 1 year is of $10,768.644

After 2 years:

[tex]A(2) = 10083(1.068)^{2} = 11,500.91[/tex]

The balance after 2 years is of $11,500.91.

After 5 years:

[tex]A(5) = 10083(1.068)^{5} = 14,010.25[/tex]

The balance after 5 years is of $14,010.25.

After 10 years:

[tex]A(10) = 10083(1.068)^{10} = 19,467.15[/tex]

The balance after 10 years is of $19,467.15.

c) What is the doubling time?

This is t for which [tex]A(t) = 2A(0)[/tex]. So

[tex]A(t) = A(0)(1.068)^t[/tex]

[tex](1.068)^t = 2[/tex]

[tex]\log{(1.068)^t} = \log{2}[/tex]

[tex]t\log{1.068} = \log{2}[/tex]

[tex]t = \frac{\log{2}}{\log{1.068}}[/tex]

[tex]t = 10.54[/tex]

The doubling time is of 10.54 years.

12 + 22 u = PLS HELP

Answers

Answer:

34

Step-by-step explanation:

What is the solution of the system?
I need both X and Y

Answers

(1,2) your X is 1, your Y is 2

Please Help (no links)

Answers

Answer:

The answer is d

Find the volume of a cone with a base diameter of 8 in and a height of 6 in. Write the exact volume in terms of pi, and be sure to include the correct unit in your answer.​

Answers

Volume of a cone = pi x r^2 x h/3

Volume = pi x 4^2 x 6/3

Volume = 32pi cubic inches ( in.^3)

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