The line y=−0.5x+b passes through the points (1,5.5), (3,p), (4,4), and (7,n). Find b, n, and p.

Answers

Answer 1

Answer: b = 6; n = 2.5; p = 4.5

Step-by-step explanation:

Finding b

If we use the given slope and use one of the points to write the equation in point-slope form (y - y₁) = m(x - x₁)), we can rearrange it to find the y-intercept:

Using (4,4)

⇒ y - 4 = - 0.5 (x - 4)

y - 4 = - 0.5 x + 2

y = -0.5 x + 6

∴ b = 6

Calculating 'n' and 'p'

We can find n and p by plugging the points into the newly found equation y = -0.5 x + 6.

For n using (7, n)

since y = -0.5 x + 6

n = -0.5 (7) + 6

∴ n = 2.5

For p using (3,p)

since y = -0.5 x + 6

p = - 0.5 (3) + 6

p = - 1.5 + 6

p = 4.5

Checking the answer

We can check the answer we got in two ways:

We could also have found n a different way:

Using the points (4, 4) and (7, n) as (x₁, y₁) & (x₂, y₂) respectively

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)

- 0.5 = (n - 4) ÷ (7 - 4)

- 0.5 = ⁿ⁻⁴/₃ [multiply both sides by 3]

- 1.5 = n - 4 [add four to both sides]

n = 2.5 [this matches the value of n we found]

We can plot the line and see if it goes through the points we found. As seen in the graph below, the line passes through all the points.

The Line Y=0.5x+b Passes Through The Points (1,5.5), (3,p), (4,4), And (7,n). Find B, N, And P.

Related Questions

Need help.Pleaseeeee

Answers

Answer:

The first one and the last one

Step-by-step explanation:

To sub x>0 and x<0 into every functions.

Then, u will get some function that y doesn't have a negative value or positive value.

Then, these function doesn't fulfill the range.

Then, u will get the answer.

find the scale factors for the dilation of the small quadrilateral to the large

a. 2
b. 5
c. 4
d.3

Answers

It is answer a, because the quadrilateral has been doubled.

click on the file <3 please give answers please and thank you!! (:

Answers

Answer:

Step-by-step explanation:

1. 49

2. -7

3. 29/32

find the missing angles

Answers

Answer:

1: 41

2: 85

3: 95

4: 85

5: 36

6: 49

7: 106

What is the value of 7r + 6(r + 2s) when r = 4 and s = 2?

Answers

Answer:

Step-by-step explanation:

7(4)+6(4+2(2)

28+6(8)

28+48 it gives 76

Translate the phrase into an algebraic expression.
The product of x and 4.

Answers

Answer: x4

Step-by-step explanation:

6.5 is a good approximation for 30

Answers

Answer:

I'm confused what is the question here?

Step-by-step explanation:

what is the decimal equivalent of 17/20
A. 0.085
B. 0.117
C. 0.85
D. 8.5

Answers

Answer:

0.85.

Step-by-step explanation:

20)17.00 (0.85

- 160

100

-100

......

The answer is 0.85 :)

Solve for the value of v.
(56+6)
(40+3)

Answers

Answer:

2666 if you multiply the sum of the parenthesis

but if you add them then the answer is 105

Step-by-step explanation:

56+6=62

40+3=43

62•43= 2666

Pls Answer 15 Points

Answers

Answer:

edchnailedhaefihw

Step-by-step explanation:

ueswufia72826382q 8r20224

8. 8(x) = 2x² + 10x; 8(-4)

Answers

Answer:

x = {5.701562119, -0.701562119}

For every pound a company spends an advertising it spends 26p on its website express the amount spent on advertising to the amount spent on its website as a ratio in its simplest form

Answers

Answer:

£1 = 100p

100:26

÷2

=50:13 thats the answer

The length of a rectangle is six times its width.
If the perimeter of the rectangle is 70 cm, find its length and width.

Answers

Answer:

Length = 30

Width = 5

Step-by-step explanation:

So the formula for perimeter is

P = 2L+2W

And we know that:

L = 6W

So then we put in all the information that we do know

70 = 2(6W)+2W

And pop that into a calculator and you get W=5

So now we put that information into L = 6W to get:

L = 6×5

L = 30

What is the factored form of this expression?
-9x3 - 12x2 -4x
OA. —x(3x + 2)2
O B. –x(3x − 2)(3x + 2)
OC. x(3x- 2)(3x+ 2)
OD. x(3x-2)2

Answers

Answer: A

Step-by-step explanation:

A polygon is translated and then stretched vertically. Which statement is correct?

A.
Neither the translation nor the vertical stretch preserves side lengths and angles of the preimage.
B.
The translation does not preserve side lengths and angles, but the vertical stretch preserves side lengths and angles of the preimage.
C.
Both the translation and the vertical stretch preserve side lengths and angles of the preimage.
D.
The translation preserves side lengths and angles, but the vertical stretch does not preserve side lengths and angles of the preimage.

Answers

The translation preserves side lengths and angles, but the vertical stretch does not preserve side lengths and angles of the preimage is correct statement.

What is translation?

A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.

A transformation allows something(shape) to moves, flip, or changes a shape (called the preimage) to create a new shape.

The length or angle of the image is not changed by translation but stretching will change the angle of image.

By transformation rules A,B C are false.

The translation preserves side lengths and angles, but the vertical stretch does not preserve side lengths and angles of the preimage. is correct statement.

Hence, The translation preserves side lengths and angles, but the vertical stretch does not preserve side lengths and angles of the preimage.

To learn more on translations click:

https://brainly.com/question/12463306

#SPJ2

D: The translation preserves side lengths and angles, but the vertical stretch does not preserve side lengths and angles of the preimage.

Step-by-step explanation:

This question is really bothering me: A restaurant has a square floor with an area of 324 m². Sketch the resaurant floor. What are its dimensions?

Answers

324= 18m

I am positive 18m is the correct answer, sorry if I am wrong. Make sure to check before submitting

The required dimensions of the restaurant is 18 by 18 meters.

Given that,

This question is really bothering me: A restaurant has a square floor with an area of 324 m². Sketch the restaurant floor. dimensions are to be evaluated.

What is surface area?

Surface area is defined as the collective region, whose mathematical expression can be formed.

here,

Let the sides of the square restaurant be a,
The area of the restaurant = area of the square
324 = a²
a = √324
a = 18 meters,

Thus, the required dimensions of the restaurant are 18 by 18 meters.

Learn more about surface area here:
https://brainly.com/question/2835293

#SPJ5

The answer, help me

Answers

Answer:

D. 7 1/2

Step-by-step explanation:

Exact form 15/2

Decimal 7.5

Mixed number 7 1/2

Evaluate 5 + {2[(48 – 40) ÷ 4 + (2 x 5)]}

29
28
45
19

Answers

Answer:

Step-by-step explanation: 5 + 2 [(48 - 40)/4+(2 x 5)]

What are the combining like terms ?? Plz

Answers

Answer:

-9-7+5n

Step-by-step explanation:

Answer:

-16+5n

Step-by-step explanation:

combine -9 minus 7 which is -16 and 8n - 3n which is 5n

graph the linear function. j(x)=-1/3x+5

Answers

Answer:

Here ya go!

Step-by-step explanation:

What is the amplitude of this graph? On a coordinate plane, the points on a function curve are shown. The curve crosses the y-axis at (0, 5) and then decreases to the minimum. The minimum is indicated by a green point. The minimum is at (0.748, 2) and the maximum is at (1.870, 6). After the green point, the curve increases and then decreases again.

Answers

Answer:

here are the answers! :)

Step-by-step explanation:

The value represents the amplitude of the function. Therefore, the amplitude of the cosine curve function of the graph is 2.

What is the amplitude of a function?

The amplitude of a function is simply the maximum point or value of the given function.

From the question, we have:

Maximum = 2

The value represents the amplitude of the function.

Therefore, the amplitude of the cosine curve function of the graph is 2.

Answers

Answer = B and F

So 0.6 can be also said as 0.60/100 . There for O.60/100 can be B

and... 0.6 can be also said as 6/10...

So it can be F

5x + 1 = 3x + 7

use the model to solve for X.

Answers

Answer:

X=3

Step-by-step explanation:

First you subtract 3x from both sides to keep x on one side.

5x minus 3x is 2x.

Then you subtract 1 from both sides to keep the variable alone.

7 minus 1 is 6.

Then you divided both sides by 2.

2x divided by 2 is x and 6 divided by 2 is three.

Then all you have left is x=3

I HOPE IT WILL HELP YOU.

Thank you.

Tres rollos de tela de 30,48 y 72 metros de largo se requieren cortar para hacer pedazos iguales y de mayor longitud¿cual será el largo de cada pedazo?

Answers

Answer:

Desde los 30 metros: 5 piezas de 6 metros

Desde los 48 metros: 8 piezas de 6 metros

Desde los 72 metros: 12 piezas de 6 metros

Step-by-step explanation:

Cada rollo es divisible por 6

Write the equation of the line in slope intercept form.

(-8,10); m=1/2

Answers

Answer:

y = (1/2)x + 14

Step-by-step explanation:

y = (1/2)x + 14

Find the following product.
(4a +6) (3a? - 3a+6)
(4a + 6) (3a2- 3a +6) =

Answers

Answer:

12a^3+6a^2+6a+36

Step-by-step explanation:

Sana makatulong!

what is 6+6 i need the answer fast

Answers

Answer:

Step-by-step explanation:

Q and R are complementary. The measure of Q is 26 less than the measure of R. Find the measure of each angle

Answers

Answer: Q = 32 ° and R = 58°

Step-by-step explanation:

Since Q and R are complementary,

⇒ Q + R = 90°

Since Q is 26° less than the measure of R

⇒ R - 26° = Q

We can therefore say that ( R - 26°) + R = 90°

⇒ 2 R = 90° + 26°

R = 58 °

Also, since R - 26° = Q

58° - 26° = Q

32 ° = Q

∴ Q = 32 ° and R = 58°

Russ has a car that averages 9.8 miles per gallon. Mike's car averages 39.2 miles per gallon. How many times more miles per gallon does Mike's car average than Russ's car

Answers

Answer:

3580.267

Step-by-step explanation:

that's all I have for u

Answer:

Step-by-step explanation:

39.2 - 9.8

Use standard algorithm...

Your result will be

29.4

Next, do 29.4 ÷ 9.8.

You will get 3

Add one more and get 4 for your answer.

-kiniwih426

-5 or -15 whic one is bigger

Answers

Answer:

Step-by-step explanation:

-5 is bigger because it’s closer to 0 in a number line

Answer:

-5 because it is closer to 0 and -15 is farther away from 0 .

Step-by-step explanation:

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The line y=−0.5x+b passes through the points​ (1,5.5), (3,p),​ (4,4), and​ (7,n). Find​ b, n, and p.

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The line y=−0.5x+b passes through the points (1,5.5), (3,p), (4,4), and (7,n). Find b, n, and p.