How are functions related to solving linear equations

Answers

Answer 1

A linear function is a function with the form f(x) = ax' + b. It looks like a regular linear equation, but instead of using y, the linear function notation is f(x). To solve a linear function, you would be given the value of f(x) and be asked to find x.


Related Questions

Which statement is true?

The value of 4,576 x (2,480 + 3) is 3 more than the value of 4,576 x 2,480.
The value of 2,550 x (1,588 − 4) is 4 less than the value of 2,550 x 1,588.
The value of 2,943 x 5,682 + 6 is 6 times the value of 2,943 + 5,682.
The value of 4,530 − 2,356 is half the value of 2 x (4,530 − 2,356).

Answers

Answer: Last option is true,

Step-by-step explanation: All other option are false

Answer:

D

Step-by-step explanation:

PAOLA GAVE AWAY 42 OF HER BOOKS SHE NOW HAS 150 BOOKS CALCULATE THE PERCENT CHANGE

HINT: how many books did she HAVE

please help me

Answers

Answer:

21.875%

Step-by-step explanation:

We need an equation to represent this problem,

Let x be the number of books she had before giving away 42 of them,

x - 42 = 150

To find out how many books she had before turn the problem around and add 42 with 150,

150 + 42 = x

⇒ x = 192

Now that you know that divide 42 by 192,

Let n be the quotient of 42/192

42/192 = n

⇒ n = 0.21875

Now to turn that into a percent move the decimal 2 spaces to the left,

0.21875

⇒ 2.1875

⇒ 21.875%

Therefore there was a 21.875% change.

Last week, Caden's Ice Creamery sold 14 sundaes with nuts and 36 sundaes without nuts. What is the ratio of the number of sundaes with nuts to the number of sundaes without nuts?

Answers

Answer:

14:36

Step-by-step explanation:

John and Brian each live 2 kilometers from their school. John walks to school and Brian rides his bicycle. The graphs show the distance each boy travels to school.

John and Brian travel at the same speed between minutes ___ and ___

Answers

Answer:

Between minutes 6 and 10

Step-by-step explanation:

Look at the slope of the line. It appears to be the same between both lines between minutes 6 and 10

Answer:

they travel at the same speed between minutes 6 and 10

The measure of an exterior angle of a triangle and the sum of the measures of the two remote interior angles are _____________.

Answers

Answer:

The measure of an exterior angle of a triangle is supplementary to its adjacent interior angle. The sum of the remote interior angles must equal the measure of the exterior angle of the triangle.

Step-by-step explanation:

Solve the system of equations. I need the answer today
x=2-y
x-2y-11=0

Answers

Answer:

(5, -3)

Step-by-step explanation:

if x=2-y then 2-y-2y-11=0

-3y-9=0

-3y=9

y= -3

x= 2+3=5

a cylindrical water bottle is 15 centimeters tall. it can hold 753.6 of water. What is the radius of water the waterbottle? use 3.14 for​

Answers

Answer:

The answer is 4cm.

Step-by-step explanation:

Given:

Height= 15cm

The volume of the Cylindrical bottle= 753.6

They have said to use π= 3.14

We are supposed to find r.

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

Volume of cylinder= πr²h

now substitute teh values given in the formula..we will get:

753.6 = 3.14× r²× 15

After u solve it , you will get

r²= 16

∴r = √16= 4cm

So,  the radius of the bottle is 4cm

Hope it helps!!

Avery and Megan are cutting paper to make origami stars. They need 1/5 of a sheet of paper in order to make each star. If they have 6 sheets of paper, how many stars can they make? Explain your work and draw a picture to support your reasoning.

Answers

Answer:

30 stars

Step-by-step explanation:

There are 5 1/5ths in 1. So 5x6(sheets of paper) is 30. For the picture part you could draw 6 sheets of paper and divide each into five parts.

Hope this helps! :)

√x^2+6x+9 if x<3

Pls help cant solve it

Answers

Answer:

F(x) < 6

Step-by-step explanation:

[tex]\sqrt{(x^2 + 6x +9)} = \sqrt{(x+3)(x+3)} = \sqrt{(x+3)^2\\}[/tex]

This can be simplified to (x+3) and so if x is less than 3, f(x) is less than 6

Graph the line with slope 3/2 and y-intercept 3. ​

Answers

Answer:

The steepness of any incline can be measured as the ratio of the vertical change to the horizontal change. For example, a  5 % incline can be written as  5100 , which means that for every  100  feet forward, the height increases  5  feet.Figure  4.4.1 In mathematics incline of a line the slope and use the letter  m  to denote it. The vertical change is called the rise and the horizontal change is called the run.Slopem=vertical changehorizontal change=riserun(4.4.1)The rise and the run can be positive or negative. A positive rise corresponds to a vertical change up and a negative rise corresponds to a vertical change down. A positive run denotes a horizontal change to the right and a negative run corresponds to a horizontal change to the left. Given the graph, we can calculate the slope by determining the vertical and horizontal changes between any two points.Example  4.4.1 Figure  4.4.2 From the given points on the graph, count  3  units down and  4  units right.m=riserun=−3units4units=−34 the Answer is.m=−34 .

Step-by-step explanation:

Write the slope intersect form of the equation.

Through (8,1) perpendicular to y =1/2x +2

Answers

Answer:

Step-by-step explanation:

y= -(1/2)x - 5

Mary has been put in charge of buying soft drinks and chips for a party. If the soft drinks total $25
and chips are $3.29 per bag, how many bags of chips can Mary buy if she wants to spend at most?

Answers

Answer: 22

Step-by-step explanation: She will have $75 To spend on drink and that can buy 75/3.29 chips

Which expression is equivalent to (4 x cubed) (2 x) superscript negative 4?

Answers

Answer:

section covers somplifying algebraic expressions

Step-by-step explanation:

(4[tex]x^{3}[/tex])(2[tex]x^{-4}[/tex]) = [tex]\frac{4x^{3} }{2x^{4} }[/tex] = 2/x⇒

Answer:

A) 1/4x

Step-by-step explanation:

Cause I took the test and got it right

A scale drawing of Jack's living room is shown below: A rectangle is shown. The length of the rectangle is labeled as length equal to 6 cm, and the width is labeled as width equal to 4 cm. If each 1 cm on the scale drawing equals 5 feet, what are the actual dimensions of the room? (5 points) Length = 11 feet, width = 9 feet Length = 30 feet, width = 20 feet Length = 8 feet, width = 12 feet Length = 22 feet, width = 20 feet

Answers

Answer:

  (b)  Length = 30 feet, width = 20 feet

Step-by-step explanation:

The scale factor is applied to the drawing dimensions to find the actual dimensions.

__

  length = (6 cm) × (5 ft)/(1 cm) = 30 ft

  width = (4 cm) × (5 ft)/(1 cm) = 20 ft

_____

Additional comment

You can also write the scale factor as part of a proportion:

  5 ft : 1 cm :: x ft : 6 cm

Multiplying by 6 cm gives

  (5 ft)(6 cm)/(1 cm) = x ft = 30 ft . . . . as above

Milk Glass A has a diameter of 3.5 inches and a height of 4 inches . Glass B has a radious of 1.5 inches and a height of 5 inches. Which glass can hold more milk

Answers

Answer:

Milk Glass A can hold more milk.

Step-by-step explanation:

This problem mostly relies on the diameter of the milk glass.

To solve the problem, we'll find the volume of each glass as though it were a cylinder.

First, we start with the area of the base of each cylinder.

Using the formula [tex]\pi r^{2}[/tex], we can find the area of each base.

Note that r represents radius, which is half of the diameter, d.

The area of the base on Milk Glass A can be found with: [tex]\pi 1.75^2[/tex] which equals 9.62 inches squared.

The area of the base on Milk Glass B can be found with: [tex]\pi 0.75^2[/tex] which equals 1.77 inches squared.

Now that we have the area of each base, we just multiple the area by the height to get the full volume.

The volume of Milk Glass A can be found by multiplying [tex]9.62*4[/tex] which equals 38.48 cubic inches.

The volume of Milk Glass B can be found by multiplying [tex]1.77 *5[/tex] which equals 8.85 cubic inches.

Therefore, the larger answer of 38.48 cubic inches means Milk Glass A can hold more milk.

HELPPP PLSSSSSSSSSSSSSSSS!!!!!!

Answers

Answer:

£6633.04

Step-by-step explanation:

Compound interest is worked out by using decimal multipliers on a calculator basically,

so,

6000 x 1.034 (because 3.4% = 0.034)

but you want it for three years so you would do

6000 x 1.034 x 1.034 x 1.034

hope that helped

I need help NOW asp please!!!!

Answers

Answer:

Option A, [tex]385.0\ ft^2[/tex]

Step-by-step explanation:

Step 1:  Determine the area of the base

[tex]A = l * w[/tex]

[tex]A = 11\ ft * 11\ ft[/tex]

[tex]A = 121\ ft^2[/tex]

Step 2:  Determine the area of the triangles

[tex]A = \frac{h * b}{2}[/tex]

[tex]A = \frac{12\ ft * (11\ ft / 2)}{2}[/tex]

[tex]A = \frac{12\ ft * 5.5\ ft}{2}[/tex]

[tex]A = \frac{66\ ft^2}{2}[/tex]

[tex]A = 33\ ft^2[/tex]

There are two of these triangles per side which means that there are 8 of these triangles in total.  

[tex]33\ ft^2 * 8[/tex]

[tex]264\ ft^2[/tex]

Step 3:  Determine the surface area

[tex]SA = 121\ ft^2 + 264\ ft^2[/tex]

[tex]SA = 385\ ft^2[/tex]

Answer: Option A, [tex]385.0\ ft^2[/tex]

The answer is a. 385 ft is the answer because 11x11 plus 11x12/2 for all four triangular sides equals 385. Hope that helps! :)

If P and Q are points on a circle, then the center of the circle must be on the perpendicular bisector of chord P Q. Explain. Which point on the chord is closest to the center? Why?

Answers

The center of the circle must be on the perpendicular bisector of chord PQ since it passes through the center.

What is a perpendicular bisector?

It should be noted that a perpendicular bisector simply means a line the intersect another line through the intersection point.

In this case, the center of the circle must be on the perpendicular bisector of chord PQ since it passes through the center. This bisects it at a right angle. The chord closer to the centimeter will be the one closer to the diameter.

Learn more about circles on:

https://brainly.com/question/24375372

#SPJ1

How does the value of the digit 3 in the number 63,297 compare to the value of
the digit 3 in the number 60,325? Be sure to include what you know about place
value in your answer.
Explain

Answers

Answer:

Look below

Step-by-step explanation:

The digit three is in the thousands place in the number 63,297, so it represents 3,000. The digit three is in the hundreds place in the number 60,325, so it represents 300.

What is the density of a 60-gram pyramid with rectangular base 5 cm x 7 cm and height 9 cm?

Answers

Answer:

0.571428571429 grams per cm³

Step-by-step explanation:

density = mass/volume

Let’s calculate the volume V of the pyramid :

V = (1/3)×base×height

   = (1÷3)×(5×7)×9

   = 105 cm³

Then

The density = mass/volume

                    = 60÷105

                    = 0.571428571429

⚠️‼️ HELP PLEASE GIVING POINTS !!​

Answers

Answer:

m∠QPR = 25°.

Step-by-step explanation:

If m∠QPR = 9x + 16°, substitute in 1 for 'x':. 9(1) + 16 = 9 + 16 = 25°

A semicircular window has a diameter of 10m what is the perimeter of the window use 3. 14 for pi ?


Please help it’s worth 20 points!!!

Answers

Answer:

25.7 m

Step-by-step explanation:

Semicircles are half circles that are divided at the diameter.

We want to find the semicircle arc.

To do this, just find the circumference of the circle and then divide by 2.

Circumference formula:

2rπ or Dπ

10π = 31.4

31.4 / 2 = 15.7

Now, we have to find the straight line part of the semicircle. The length of that straight line is the diameter. We already know that the diameter is 10.

Add

15.7+10 = 25.7

A force of 61 N is applied to an area of 750 cm2.
Calculate the pressure in N/m2.
Give your answer to the nearest integer.

Answers

Step-by-step explanation:

Area750 cm² = 750 × 10^-4 m²

pressure = F/A

= 61 /(750×10^-4)

= 61 × 10⁴/750

= 0.081 × 10⁴

= 810 N/ m²

Answer:

813N/m^2

Step-by-step explanation:

Pressure is defined as the amount of force applied to an area. There are 100cm in a single meter, therefore:

[tex]750cm^2=\sqrt{750} cm\frac{1}{100} \frac{m}{cm} =\frac{\sqrt{750} }{100} m=0.075m^2[/tex]

Pressure formula is:

[tex]P=Force/Area=61N/0.075m^2=813N/m^2[/tex]

What's are all the answers? Tap on the image.​

Answers

Answer:

I think B, C,  and F are the answers.

Step-by-step explanation:


A local dairy has three machines to fill half-gallon milk
cartons. The machines can fill the daily quota in 5
hours, 6 hours, and 7.5 hours, respectively. Find how
long it takes to fill the daily quota if all three machines
are running.

Answers

Answer:

Step-by-step explanation:

let's assume the quota is 1

1=the time each machine takes to fill the quota thus;

1=5hrs what about 1hr=1/5

1=6hrs what about 1hr =1/6

1=7.5hr what about 1hr =2/15

add: 1/5+1/6+2/15=1/2 reciprocate

=2hrs

A garden is in the shape of an isosceles right triangle. The length of the hypotenuse is 24 feet. What is the area of the triangle?

Answers

Answer:

Area = 144 ft^2

Step-by-step explanation:

Remark

Use the Pythagorean theorem to find the length of the legs. Then multiply them together and divide by 2.

Equations

a^2 + a^2 = c^2

Area = (1/2) * a^2

Givens

c = 24

Solution

Remember that an isosceles triangle has 2 equal sides. Both legs of the triangle are equal to a.

a^2 + a^2 = c^2              Combine

2a^2 = 24^2                   Expand

2a^2 = 576                    Divide by 2

2a^2/2= 576/2              

a^2 = 288                      You might just as well leave this. go to area

Area = 1/2 (288)

Answer: Area = 144 ft^2

What is the solution to the system of equations graphed below? A. (0, 2) B. (–2, 1) C. (0, –3) D. (–4, 0)

Answers

Answer:

B

Step-by-step explanation:

the solution to the system is at the point of intersection of the 2 lines.

the lines intersect at (- 2, 1 )

then solution to system is (- 2, 1 )

Find the missing length pleaseeee!!!

Answers

Step-by-step explanation:

9.

[tex] \frac{15}{x} = \frac{10}{32} \\ x = 48[/tex]

So QR = 48

10.

[tex]since \: \: \frac{9}{13.5} = \frac{12}{18} \: \: we \: have \\ \\ \frac{12}{18} = \frac{10}{x} \\ x = 15[/tex]

So QP is 15

pls pls pls pls pls pls pls answer it pls :(

Answers

Answer:

1. BC≅DC ; AC≅EC

2. ∠BCD≅∠ACE and ∠BCA≅∠DCE

3. SAS (side angle side)

Step-by-step explanation:

What’s 56,105 minus 15 percent

Answers

Answer:

833

Step-by-step explanation:

First find the 15% of 56,105;

[tex]\frac{15}{100}[/tex] * 56,105 = x

0.15 * 56,105 = x

882 = x

Now subtract 15% of 56,105 from 56,105;

15% of 56,105 = 882

now;

56,105 - 882 = 833

Hope this helps!

883 would be the correct answer
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