Write an equation that represents the line. Use exact numbers

Write An Equation That Represents The Line. Use Exact Numbers

Answers

Answer 1

The equation of a line is y = 7/9x -3.5. using exact numbers from the graph.

What is the slope intercept of a line?

A straight line is produced by a linear function. Therefore, the slope has a constant value. If the slope was variable, a straight-line graph would not exist. When you know the slope of the line to be investigated and the given point is also the y-intercept, you can utilize the slope-intercept formula, y = mx + b. (0, b). The y value of the y-intercept point is denoted by the symbol b in the formula.

Given a line in the graph in that we can see that,

At x = 0, y is -3.5 and at y = 0, x is 4.5 thus,

coordinates of the given line are (0, -.35) and (4.5, 0)

Therefore the slope of the line (m) = (y₂-y₁)/ (x₂ -x₁)

The slope of the line = 3.5/4.5 = 7/9

therefore equation of the line in the slope-intercept form:

y = 7/9 x +  c

Since this line passe from (0, -3.5)

hence, -3.5 = c

therefore, using exact numbers equation of the line is y = 7/9x -3.5.

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Related Questions

Algebraic expressions
Delete the parentheses and reduce the similar terms
(2x -y² -2xy)-(xy -x -3y² -3x -8y²

Answers

Answer:

10y^2-3xy+6x

Step-by-step explanation:

The scatter plot shows the number of chin-ups and push-ups completed by a sample of fourth grade students.
What is the median number of chin-ups for all students?
Student Name
Label
Number of Chin-ups and Push-ups
10-
9
А
B
H
B
8
Jared
Tonya
Alex
Rishab
L
D
G
с
7-
F
D
K к
Gao
E
E
А
с
F
Riki
Anne
5-
4-
3
2-
G
Amira
H
12
/
Samuel
Lily
0
J
1
6
8
9
10
Abdu
K
2
Chin-ups
Mike

Answers

Answer:

9

Step-by-step explanation:

One did 10,one did 9, and 1 did 8 and 9 is the median number of those 3 numbers.

Answer:

Abdu, Tonya, Gao, Lily, Mike, Rishab

Step-by-step explanation:

Answer this please:
Look at the image and answer the question.

Answers

Answer:

hope it helps...........

he average movie admission price for a recent year was $7.18. The population variance was 3.81. A random sample of 15 theater admission prices had a mean of $8.02 with a standard deviation of $2.08. At α = 0.05, is there sufficient evidence to conclude a difference from the population variance? Assume the variable is normally distributed.

Answers

Answer:

Since the calculated value of  z= 1.6279 does not fall in the critical region Z ≥ ±1.96 we conclude that there is no difference between the population variance and the sample variance.

Step-by-step explanation:

The data given is

Population mean μ= $ 7.18

Population variance= σ²= 3.81

Population Standard Deviation = √σ²= √3.81= 1.952

Sample Mean= x`= $ 8.02

Sample Standard Deviation =s = $ 2.08

Sample Size = 15

Significance Level = ∝= 0.05

The null and alternate hypotheses are

H0: σ1=σ2 against the claim that Ha: σ1≠ σ2

where  σ1 is the population variance and

σ2 is the sample variance

The rejection region is Z ≥ ±1.96 for two tailed test  at ∝= 0.05

The test statistic z is used

z= x`-  μ/ σ/√n

Putting the values

Z= 8.02-7.18/1.952/√15

z= 0.84/0.51599

z= 1.6279

Since the calculated value of  z= 1.6279 does not fall in the critical region Z ≥ ±1.96 we conclude that there is no difference between the population variance and the sample variance.

a tee junction occurs when a connection meets an existing pipe of header at what angle? A 180 degree, B 30 degree, C. 90 degree, D.45 degree

Answers

Tee welding joints are formed when two members intersect at a 90-degree angle that makes the edges come together in the center of a plate or component

Length of insect is 23mm and length of drawing is 85mm. So what is Magnification​

Answers

Answer:

The magnification is the ratio of the size of the image to the size of the object. In this case, the length of the insect is the size of the object, and the length of the drawing is the size of the image.

To find the magnification, we can divide the size of the image by the size of the object:

Magnification = size of image / size of object

Plugging in the values, we have:

Magnification = 85mm / 23mm

Calculating, we find that the magnification is approximately 3.7. This means that the length of the drawing is 3.7 times the length of the insect.

Step-by-step explanation:

The magnification of a drawing is a measure of how much larger or smaller the drawing is compared to the actual object being depicted. To calculate the magnification of a drawing, you can divide the length of the drawing by the length of the actual object.

In this case, the length of the insect is 23 mm and the length of the drawing is 85 mm. To find the magnification of the drawing, we can divide the length of the drawing by the length of the insect:

Magnification = Length of drawing / Length of insect

Magnification = 85 mm / 23 mm

Magnification = 3.69

So, the magnification of the drawing in this case is 3.69. This means that the drawing is 3.69 times larger than the actual insect.

1+1+1+1=4
2+2+2+2=16
3+3+3+3=?

Answers

Answer:

12

Step-by-step explanation:

describe the translation of the figure ABCD. Complete the sentence to explain your answer

Answers

No picture. Please repost

Suppose f is a function. If f(6) = -9, give an ordered pair of numbers that is a solution of the function.

Answers

The ordered pair solution to the function f(x) is (6, -9) because f(6) = -9,

What is an equation?

An equation is an expression relating numbers and variables.

A function is a rule that defines the relationship between the dependent and independent variable. Dependent variables are variables that depends on others variable while independent variables are variables that does not depends on others variable

A solution to a function is the values of the variable that makes the equation true.

Given the function f(x) have solution of f(6) = -9. The ordered pair is (6, -9)

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The point (0,0) is located on a line with slope of 3/4. which point could also be located on the line?​

Answers

Answer:

Below

Step-by-step explanation:

The equation of the line will be   y = 3/4 x     pick ANY value of 'x' to find the corresponding 'y' value

  Say x = 8    then y = 6        8,6  is  a point on the line

Answer:

(1 , 0.75)

(2 , 1.5)

(3 , 2.25)

(4 , 3)

(5 , 3.75)

(4 , 3)

(6 , 4.5)

(7 , 5.25)

(8 , 6)

(9 , 6.75)

(10 , 7.5)

(11 , 8.25)

(12 , 9)

Step-by-step explanation:

To find the other points we must put the given information into the slope-intercept form: [tex]y=mx+b[/tex]    m = slope and  b =  y-intercept

                                      [tex]y=\frac{3}{4} x+0[/tex]  or  [tex]y=\frac{3}{4} x[/tex]

Then just simply start inputting any numbers for x so you can solve for [tex]y=\frac{3}{4} x[/tex] to get the other points of the line.

A 3kg cart moving with a speed of 4m/s collides with a 1 kg cart at rest

Answers

The speed of the carts after collision is  3 m/s.

What is the velocity after collision?

We have to note that in this case, we would need to apply the principle of the conservation of linear momentum. This implies that the momentum before collision would have to be the same as the momentum after collision.

Then we have;

Momentum before collision = Momentum after collision thus;

(3 * 4) + ( 1 * 0) = (3 + 1) v

Note that the two carts are said to stick together and move with a common speed

Hence;

12 = 4v

v = 12/4

v = 3 m/s

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Only answer if you’re sure :) thank yew

Answers

D) 1 is the correct answer
D is the correct answer :-)

Shirt Prices
$50, $35, $48,
$31, $34
What is the median price of the five shirts?

Answers

Answer: 35 would be the median

Step-by-step explanation: Put the numbers in order and whichever one is the middle value is the median

Answer:

35

Step-by-step explanation:

The median is the middle price when listed from smallest to largest

31, 34,   35,    48, 50

The middle price is 35

The median is 35

can someone please help me with this math question?

Answers

9514 1404 393

Answer:

  D.  0, 1, or 2 solutions

Step-by-step explanation:

The line represented by g(x) may intersect the parabola represented by f(x) in 0, 1, or 2 places, as illustrated in the attachment. The curves are different shapes, so cannot overlap to give infinite solutions.

The system may have 0, 1, or 2 solutions.

If ∠WOZ and ∠WOX are supplementary angles and ∠WOX and ∠XOY are complementary angles, then what is the value of x and m∠XOY?

Answers

Answer:

b.) x= 6, m∠XOY= 18

Step-by-step explanation:

comment if u need explanation :))

pls help and give only correct answers

Answers

Answer:b

Step-by-step explanation:

i took that test

Can someone solve this?

Answers

Answer:

u=4

v=2√3

Step-by-step explanation:

The 30-60-90 triangle theorem states that the shortest side of a triangle is half of the hypotenuse, so 2*2=4. So, the hypotenuse, u, is 4.

The longest leg is √3 times greater than the shortest leg, so 2*√3=2√3. So, the longest leg, v, is 2√3.

Two lines, A and B, are represented by equations given below:

Line A: y = x − 2
Line B: y = 3x + 4

Which of the following shows the solution to the system of equations and explains why?

Group of answer choices:

A) (−3, −5), because the point does not lie on any axis

B) (−3, −5), because the point satisfies both equations

C) (−4, −8), because the point satisfies one of the equations

D) (−4, −8), because the point lies between the two axes

Answers

set the equations equal to each other to find x
x - 2 = 3x + 4
-6 = 2x
x = -3

plug x into either equation
-3 - 2 = y
y = -5

(-3, -5)

the answer is B

Given m | n, find the value of x and y.
m
(2y+17) (4x-3)°
(7x+18)°
n

Answers

Answer:

the first one is scamer

Step-by-step explanation:

help me report that user

A line has a slope of 3/8 and passes through the point (15.2,-7)

The equation of the line in point-slope form is???
ANSWERS↓↓

Answers

The linear equation can be written in point-slope form as:

y + 7 = (3/8)*(x - 15.2)

So the correct option is A.

How to get the linear equation?

A linear equation with a slope M and a known point (h, k), can be written in the point-slope form as:

y - k = m*(x - h)

Here we know that the slope of the line is 3/8, then we get:

y - k = (3/8)*(x - h)

And we also know that this line must pass through the point (15.2, -7), then we know that:

h = 15.2

k = -7

Replacing these values we get:

y + 7 = (3/8)*(x - 15.2)

Thus the correct option is the first one, A.

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Simplify the expression 3a² + 1/4a + 3 + a² + 4 + 1/4a

Answers

The Correct answer while simplifying the given algebraic expression is: 4a²+1/2a+7

What are Algebraic Expressions?

The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.

Method to simplify any algebraic Expressions are :

By multiplying factors, remove any grouping symbols like brackets and parenthesis.If the words contain exponents, use the exponent rule to eliminate grouping.Add or subtract like terms to combine them.Add the constants together

Given:

=3a²+1/4a+3+a²+4+1/4a

=(3a²+a²)+(1/4a+1/4a)+(3+4)

=4a²+1/2a+7

So the Answer is

=4a²+1/2a+7

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An Item costs $450 Before tax. and the sales tax is $31.50
Find the sales tax rate. Write your answer as a percentage

Answers

The tax rate of an Item that costs $450 Before tax. and the sales tax is $31.50 is 7%

What is tax rate?

The tax rate is the percentage of an income or an amount of money that has to be paid as tax.

To find the tax rate of $31.50 from $450

The formula is

Amount taxed/Principal amount x 100

= $31.50/$450 x100

=$3150/450

=7%

Hence, the tax rate is 7%

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Using elimination, what is the solution to the following system?
2x+4y=16
-2x-3y=-13

Answers

Answer:

x=2, y=3. (2, 3).

Step-by-step explanation:

2x+4y=16

-2x-3y=-13

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

y=3

2x+4(3)=16

2x+12=16

2x=16-12

2x=4

x=4/2

x=2

Suppose a young couple deposits $1000 at the end of each quarter in an account that earns 7.6%, compounded quarterly, for a period of 8 years. After the 8 years, they start a family and find they can contribute only $200 per quarter. If they leave the money from the first 8 years in the account and continue to contribute $200 at the end of each quarter for the next 19 years, how much will they have in the account (to help with their child’s college expenses)?

Answers

If they leave the money from the first 8 years in the account and continue to contribute $200 at the end of each quarter for the next 19 years, the future value in the account to help with their child's college is $215,293.42.

How the future value is computed?

The future value for this investment is computed in two separate solutions.

We have used an online finance calculator to facilitate the process.

The future value denotes the present deposits compounded at an interest rate.

Initial Deposits:

N (# of periods) = 32 quarters (8 years x 4)

I/Y (Interest per year) = 7.6%

PV (Present Value) = $0

PMT (Periodic Deposit) = $1,000

Results:

FV = $43,489.87

Sum of all periodic payments = $32,000.00

Total Interest = $11,489.87

Subsequent Deposits:

N (# of periods) = 76 quarters (19 years x 4)

I/Y (Interest per year) = 7.6%

PV (Present Value) = $43,489.87

PMT (Periodic Payment) = $200

Results:

Future Value (FV) = $215,293.42

Sum of all periodic payments = $15,200 ($200 x 76 quarters)

Total Interest = $156,603.55

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Rewrite 12x4y3 − 48x3y4 using a common factor.

Answers

Pull out a 6x^3y^3. We would get,

6x^3y^3(2x-8y)

The second option is correct.

Answer: 12x^3 y^3 (x − 4y)

(GCF is: 12x^3 y^3)

Step-by-step explanation:

This is the best I can do, sorry that I don't have an explanation.

A cake recipe calls for 2 1/3 cups of flour. If Gloria is planning on making 6 cakes for a bake sale, how many cups of flour will she need?

Answers

Answer: Gloria will need 14 cups of flour

Step-by-step explanation: 2 1/3 x 6 = 14

HELP MEEEEEE 25 POINTS

Answers

Answer:

m arc 1 = 65°, m arc 3 = 129°, m ∠9 = 25.5°, m ∠ 10 = 57.5°

Step-by-step explanation:

m arc 1 => 180 - 115 = 65°

m arc 3 => 180 - 51 = 129°

m ∠9 => 51 ÷ 2 = 25.5°

m ∠ 10 => 115 ÷ 2 = 57.5°

graph f and h , write h in terms of f, describe the transformation from the graph of f to the graph of h .

the equation :

f(x) = 3x ; h(x) = 3x - 5

Answers

h(x) = f(x) + 5 represents a vertical shift of 5 units down from the graph of f(x) = 3x. The slope of the two lines is the same, but the y-intercept of h(x) is different from f(x).

What is the graph of the function?

A graph of a function is a visual representation of the relationship between the input values (x-coordinates) and the output values (y-coordinates) of a function. It is a way to visualize the behavior of the function and its relation to the x and y axes.

Here,

We can draw the graph as

h(x) = 3x - 5 can be written in terms of f(x) by adding 5 to the output of f(x)

h(x) = f(x) + 5

The transformation from the graph of f(x) to the graph of h(x) is a vertical shift of 5 units down. This is because the original function f(x) is shifted down by 5 units to get h(x). The slope of the two lines is still the same, 3, but the y-intercept of f(x) is (0,0) and the y-intercept of h(x) is (-5/3,0). The transformation causes the graph of h(x) to be shifted down 5 units along the y-axis, while the slope and x-intercept of the graph remain the same.

Hence, h(x) = f(x) + 5 represents a vertical shift of 5 units down from the graph of f(x) = 3x. The slope of the two lines is the same, but the y-intercept of h(x) is different from f(x).

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Please please help!!!!

Answers

Answer:

280 inches

Step-by-step explanation:

8 x 8 = 64

9 × 24 = 216

64 + 216 = 280

a rectangular table is 5 1/4 feet by 3 3/4feet. what is the area of the table?

Answers

Answer:Area = Length times Width

 5 1/4  times 3 3/4

5 x 4 + 1 = 21

21/4

3 x 4 +3 = 15

15/4

21/4 x 15/4 = 315 / 16 or 19 11/16 ft^2

Step-by-step explanation:

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