What is the equation of the following linear funchon?

What Is The Equation Of The Following Linear Funchon?

Answers

Answer 1

Answer:

3x+8

Step-by-step explanation:

linear function formula ax+b

when x=3 3a+b=17 and when x=6 6a+b=26

3a=9 a=3,

when x=3 3.3+b=17 9+b=17 b=8

3x+8


Related Questions

What is the slope of a line perpendicular to the line with equation y = 4x + 5?


4


−14

−4

−5

Answers

Answer:

Slope= 4

Step-by-step explanation:

y=mx+b

4x

4= slope

5) Which equation shows how to find the volume of the figure shows Al 5x 3 x 4 = 60 B) 5+ 3 * 4 = 32 0525 USA 2021​

Answers

Answer:

The answer is the second option

Step-by-step explanation:

HELP PLSS I NEED TO TURN IN RIGHT NOW!!!!
Mr. Foster wants to put a new carpet on the floor of his rectangular playroom. The playroom is 27 ft long and 18 ft wide. He has found an inexpensive carpet that is priced $14 per sq yd. What would be a reasonable price for enough carpet to cover the floor of his playroom?

Answers

Answer: $756

Step-by-step explanation:

convert feet to yards

1 yard = 3 feet

27 ft = 9 yards

18 ft = 6 yards

carpet represents area

area = length x width

area = 9 x 6

area = 54 yards^2

$14 for 54 yards^2 = 14 x 54

14 x 54 = 756

$756

how do you simplify (y+z)^3

Answers

Answer: y3+3y2z+3yz2+z3

Step-by-step explanation:

(y+z)3

=(y+z)*(y+z)*(y+z)

=(y+z)(y2+2yz+z2)

=(y)(y2)+(y)(2yz)+(y)(z2)+(z)(y2)+(z)(2yz)+(z)(z2)

=y3+2y2z+yz2+y2z+2yz2+z3

=y3+3y2z+3yz2+z3

Solve the equation.

y + 6 = –3y + 26

y = –8
y = –5
y = 5
y = 8

Answers

Answer:

y = 5

Step-by-step explanation:

y + 6 = –3y + 26

y + 3y + 6 = 26

4y + 6 = 26

4y = 26 - 6

4y = 20

y = 5

I hope this helps!

There are 318 calories in six ounces of a certain ice cream. How many calories are there in one pound?
1 pound = 16 ounces

Answers

Answer:

795

Step-by-step explanation:

318 x 2 (to get 12 ounces)

636 + (1/2 x318) (to get 3 ounces)

636 + 159 (to get 16 ounce)

795

The number of calories in one pound is 848 calories.

Given that, there are 318 calories in six ounces of a certain ice cream.

What are proportions?

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Let x be number of calories in 1 pound = 16 ounces

Here, 318:6::x:16

⇒ 6x=318×16

⇒ 6x=5088

⇒ x=5088/6

⇒ x=848

Therefore, the number of calories in one pound is 848 calories.

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un camion se encuentra del lado izquierdo del cero del sistema de referencia, es decir, desde una posicion negativa de -2 km, como el conductor va buscando pasaje se mueve muy lentamente a una velocidad de 10 km/h? escribe la ecuacion horaria.

Answers

Veremos que la ecuación que describe el movimiento del camión es:

f(t) = -2km + (10km/h)*t

¿Como encontrar la ecuación de movimiento del camión?

Primero debemos recordar la relación:

distancia = velocidad*tiempo.

Entonces, podemos escribir la pocición del camión como:

f(t) = pocición inicial + velocidad*t

Donde t es el tiempo en horas.

Sabemos que:

posición inicial = -2kmvelocidad = 10km/h

Reemplazando eso obtenemos:

f(t) = -2km + (10km/h)*t

Esta es la ecuación de movimiento del camión.

Sí quieres aprender más sobre ecuaciones de movimiento, puedes leer:

https://brainly.com/question/19365526

QUESTION 3 I [12] A student must answer a multiple-choice question with five possible answers. He knows the correct answer with probability 0.55. If he does not know the correct answer, he randomly guesses one of the possible answers. a) Draw a tree diagram and clearly define all relevant events.​

Answers

The probability that the student does not know the answer but he randomly guesses it is 0.146025

How to solve for the probability of having a correct guess

The question has only one right answer out of 5 choices.

Probability he answers incorrectly:

1 - 0.55 * 4/5

= 0.45 * 0.8

= 0.36

Probability he does not know answer but answers the question correctly

[tex]\frac{(1-0.55)\frac{1}{5} }{0.55+(1-0.55)\frac{1}{5} }[/tex]

= 0.09/0.55+0.09

= 0.140625

Read more on probability here: https://brainly.com/question/24756209

An observation tower is 65m high. A support wire is attached to the tower 30m from the top. If the support wire and the ground form an angle of 56 degrees, what is the length of the support wire, to the nearest tenth?

Answers

The support wire is the hypotenuse of the right triangle formed. Therefore, the length of the support wire is 42.2 meters.

The situation forms a right angle triangle.

Right angle triangle

A right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.

Therefore, the height of the tower where the wire was attached is the opposite side of the triangle formed.

The wire was attached 30 m from the top. Hence, 65m - 30m = 35 m.

Therefore,

sin 56° = opposite / hypotenuse

sin 56° = 35 / x

The hypotenuse is the length of the support wire.

Therefore,

x = 35 / 0.82903757255

x = 42.2195416164

x = 42.2 m

learn more on right angle here: https://brainly.com/question/9495022

PLEASE
Write an equation in slope-intercept form of the line shown.
An equation is

Answers

Answer:

y = -x - 4

Step-by-step explanation:

m = (-5-0)/(1+4) = -5/5 = -1

b = (0, -4)

y = mx + b

y = -x - 4

BRAINLIEST please if this helps!

A small squad of soldiers came to a
river they had to cross. The bridge
was damaged and the water was too
cold. Everyone thought there was no
hope for them to get to their dinner
on time. Just then, Officer Bill saw
two boys on a boat, but the boat was so small that the most it
could hold was only one soldier or only two boys.
All the soldiers got across the river using this boat. How did
they do it?

Answers

Answer:

maybe they could be on opposite sides?

Step-by-step explanation:

Find the slant height of the prism
a.10
b.5
c.7
d.3

Answers

Check the picture below.

what is the solution to 2x + 5 = 6x – 5? Show your work.

Answers

2+5=6−5
2x+5=6x−5 2x+5-5=6x - 5 - 5

what's the answer to this

Answers

The answer is A because

evaluate the equation: F( 2 ) =

Answers

Answer:

3

Step-by-step explanation:

it's basically asking what is the y value that corresponded to x = 2

that value is 3.

The midpoint of AB is M(6,2). If the coordinates of A are (4,8), what are
the coordinates of B?

Answers

B = (8,-4)

The midpoint formula is (xm,ym) = ((x1+x2)/2, (y1+y2)/2).
(6,2) = ((4+8)/2, (8+(-4))/2)
Explaination :

Given that,

The midpoint of AB is M(6 , 2)The coordinates of A are (4 , 8)

To calculate,

Coordinates of point B?

So here we would be using the formula of calculating the midpoint of two points.

Midpoint of two points:-

[tex]\boxed{ \sf{M \: = \: \dfrac{x_1 \: + \: x_2 }{2} \: , \: \dfrac{y_1 \: + \: y_2 }{2}}} \: \pink\bigstar[/tex]

We have :

x1 = 4 y1 = 8

Putting the values :

Refer to the attachment.

Therefore,

Coordinates of the point B is (8 , -4)Additional Information :

Centroid of a triangle :-

[tex]\boxed{ \sf{Centroid \: = \: \dfrac{x_1 \: + \: x_2 \: + \: x_3}{3} }} \: \pink\bigstar[/tex]

Distance Formula :-

[tex]\huge \large \boxed{\sf{{d \: = \: \sqrt{(x _{2} - x _{1}) {}^{2} \: + \: (y _{2} - y _{1}) {}^{2} }}}} \: \red\bigstar[/tex]

HELP GIVING BRAINLIEST + STARS

Answers

let’s make this an arrow

from A to B, the arrow is flying up to the sky. from B to C, the arrow is coasting in the air for a short moment. from C to D, the arrow is plummeting back to the ground.

Motion graphs! Oh yes, I remember those.

I will be using the example of a remote-control car.

For Section AB:

The car starts moving steadily in one direction.

For Section BC:

The car has stopped moving.

And finally, for section CD:

The car has turned around and returned to the starting point at a steady pace.

I hope this answers your question.

-Toremi

PLSSSS HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

There are 8 possible spaces that the spinner can land on. Of those,  the options are 0, 1, 2, or 3.

There is one space that has 0 in it = 1 / 8 = 0.125

There are two spaces that have 1 in them = 2 / 8 = 0.25

There is one space that has 2 in it = 1 / 8 = 0.125

There are four spaces that have 3 in them = 4 / 8 = 0.5

Hope this helps!

How do you tell if a table shows y as a function of x?


like if i have a chart that looks like this:

x: 14 15 16 17 18

y: 100 80 110 100 90

Answers

Answer:

you have to find the common ratio between the y and the x, like what you have to multiply x by to get y

Step-by-step explanation:

like if your table is

x / y

-2. 6

-1. 3

0. 0

1. -3

2. -6

the ratio would be -3


18.) A cylinder and a cone have the same radius and
the same volume. How do the heights compare?

Answers

Answer:

If a cone and a cylinder have the same base and the same height, then the volume of the cone is of the volume of the cylinder. For example, the cylinder and cone shown here both have a base with radius 3 feet and a height of 7 feet. The cylinder has a volume of cubic feet since .

Step-by-step explanation:

3. The area of a gym is 2,387 square feet. The area of the bathroom is 7
times less than the area of the gym. What is the area of the gym?

Answers

Answer:

795.6?

Step-by-step explanation:

The Area of Bathroom is 391.714 square feet.

What is Area?

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.

We have,

Area of Gym = 2387 square feet.

Area of Bathroom is 7 times less than the area of the gym.

So, Area of Bathroom

7x = 2387 + 341

7x = 2728

x= 391.714

Learn more about area here:

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You have 8,640 grams of a radioactive kind of cesium. If its half-life is 30 years, how much
will be left after 120 years?
grams

Answers

The mass of cesium left afer 120 years if the original mass of cesium is 8640 with an half-life of 30 years,  is 540 grams.

What is half-life?

This can be defined as the time taken for half the amount of a radioactive substance to decay.

To calculate the amount of cesium left after 120 years, we use the formua below.

Formula:

R' = R/([tex]2^{T/t}[/tex])............. Equation 1

Where:

R = Original amount of CesiumR' = New amount of cesiumT = Total timet = Half-life

From the question,

Given:

R = 8640T = 120 yearst = 30 years

Substitute these values into equation 1

R' = 8640/([tex]2^{120/30}[/tex])R' = 8640/[tex]2^{4}[/tex]R' = 8640/16R' = 540 grams.

Hence, The mass of cesium left afer 120 years is 540 grams.

Learn more about half-life here: https://brainly.com/question/25750315

the ratio of the number of boys and girls in a class is 10:7 if there are 35 girls find the number of boys


Answers

Answer:

The solution to the question is in the attached image

Sara used 6_1/2 packs of pencils in the first 1/2 of the year. At what rate is Sara using pencils?
⚫️13 packs per year
⚫️8_1/2 packs per year
⚫️14 packs per year
⚫️12_1/2 packs per year

Answers

13 packs a year. 6.50 (.50 comes from 1/2) since the question states that she uses 6_1/2 packs of pencils in the first “1/2” of the year we need to multiply the 6_1/2 by 2 and we get our answer.
13 packs per year because 6 1/2 x 2 = 13 so it would be 13


Mrs. Becker drives past the Route 50 drawbridge light every morning on the way to
work. Eight out of 10 times, the traffic light is red. There are only 25 days of school le
how many of those days should she expect to get stopped at that light?

Answers

Answer:

20 days

Step-by-step explanation:

1) [tex]\frac{8}{10}[/tex] must be written as a fraction where the denominator is 25 since there are 25 days of school.

[tex]\frac{8}{10} = \frac{x}{25}[/tex]

2) Cross multiply them.

[tex]10(x) = 25(8)[/tex]

[tex]10x = 200[/tex]

3) Solve for [tex]x[/tex].

[tex]x = \frac{200}{10}[/tex]

[tex]x = 20[/tex]

Monica buys a postage stamp the area of the stamp is more likely to be 1 square inch or 1 square meter? Explain

Answers

Answer:

HEyy

Step-by-step explanation:

its one square inch because if you think about it a little postage samp is very tiny

If

a

1

=

8

a

1



=8 and

a

n

=

5

a

n



1

+

5

a

n



=5a

n−1



+5 then find the value of

a

5

a

5



.

Answers

Answer:

55a=

step-by-step explanation:

Answer:

-3125

Step-by-step explanation:

Got it right on delta

Will spent three days collecting cans and he managed to collect 2 pounds he collected blank of a pound each day

Answers

0.666666666666667

Explanation

Help picture below problem 16

Answers

Answer:

5

Step-by-step explanation:

a²+b²=c²

In this case c is 13 and b is 12

a²+12²=13³

a²+144=169

Subtract 169 and 144 to find a

169-144=25

The square root of 25 is 5

The horizontal lines (l and m) are parallel. They are crossed by two transversals (lines a and b).

Transversals a and b intersect to make a triangle. The m∠1 = 75°, and the m∠4 = 50°.
1. What is the m∠5? Explain how you know. (2 points)

2. What is the measure of the sum of the angles in a triangle? (2 points)

3. ∠3 is in a triangle with ∠4 and ∠5. Write and solve an equation to find the m∠3. (2 points)

4. What is the measure of a straight angle? (2 points)


5. ∠2 is in a straight line with ∠1 and ∠3. Write and solve an equation to find the m∠2. (2 points)

PLEASE ANSWER! WILL GIVE BRAINLIEST

Answers

1. m∠5 = 75° (corresponding angles theorem)

2. 180°

3. m∠3 = 55° (triangle sum theorem).

4. A straight angle = 180°

5. m∠2 = 50° (angles on a straight line)

What is the Triangle Sum Theorem?

According to the triangle sum theorem, the sum of the angles in a triangle equals 180 degrees.

1. m∠5 = m∠1 = 75° (corresponding angles are congruent)

2. Measure of the sum of all angles in a triangle = 180°

3. To find ∠3, we would have the following equation:

m∠3 = 180 - m∠4 - m∠5 (triangle sum theorem).

Substitute and solve

m∠3 = 180 - 50 - 75

m∠3 = 55°

4. A straight angle = 180°

5. m∠2 = 180 - m∠3 - m∠1 (angles on a straight line)

Substitute and solve

m∠2 = 180 - 55 - 75

m∠2 = 50°

Learn more about triangle sum theorem on:

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