Explain how they are different AND the same

Explain How They Are Different AND The Same

Answers

Answer 1

Proportional and linear functions are almost identical in form. The only difference is the addition of the “b” constant to the linear function. Indeed, a proportional relationship is just a linear relationship where b = 0, or to put it another way, where the line passes through the origin


Related Questions

Write an equation for the line that has a rate of change of 2 and passes through the point (-1, -5).

Answers

Answer:

An equation for the line that has a rate of change of 2 and passes through the point (-1, -5) will be:

[tex]y=2x-3[/tex]

Step-by-step explanation:

As the equation for the line in the point-slop form is given by

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope (rate of change).

As we know that when we talk about 'slope', it means we are talking about 'rate of change'.

Now given the values

Rate of change = slope = m = 2point (-1, -5)

substituting the values m = 2 and the point (-1, -5)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-\left(-5\right)=2\left(x-\left(-1\right)\right)[/tex]

[tex]y+5=2\left(x+1\right)[/tex]

[tex]y+5-5=2\left(x+1\right)-5[/tex]

[tex]y=2x-3[/tex]

Therefore, an equation for the line that has a rate of change of 2 and passes through the point (-1, -5) will be:

[tex]y=2x-3[/tex]

The equation of the line that passes through (-1, -5) and has a slope of 2 is;

[tex]\mathbf{y + 5 = 2(x + 1)}[/tex] (point-slope form)

or

[tex]\mathbf{y = 2x - 3}[/tex] (slope-intercept form)

Recall:

Equation of a line can be written either in the slope-intercept form as y = mx + c, or in point-slope form as y - b = m(x - a).m = slope; c = y-interceptRate of change = slope

Given:

Slope (m) of the line is 2

Point on the line is (-1, -5)

Write the equation in point-slope form by substituting m = 2, and (a, b) = (-1, -5) into y - b = m(x - a).

Thus:

[tex]y - (-5) = 2(x - (-1))\\\\\mathbf{y + 5 = 2(x + 1)}[/tex]

Rewrite in slope-intercept form

[tex]y + 5 = 2x + 2\\\\y = 2x + 2 - 5\\\\\mathbf{y = 2x -3}[/tex]

Therefore, the equation of the line that passes through (-1, -5) and has a slope of 2 is;

[tex]\mathbf{y + 5 = 2(x + 1)}[/tex] (point-slope form)

or

[tex]\mathbf{y = 2x - 3}[/tex] (slope-intercept form)

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Answers

Answer:

146 degrees

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

6x-5=2x+11

4x-5=11

4x=16

x=4

How much would $125 invested at 8% interest compounded
continuously be worth after 16 years? Round your answer to
the nearest cent.

Answers

Answer:

A=Pe^(rt)

Fill in principal, rate as a decimal and time in years. Use 'e' on the calculator.

$449.58

$125 invested at 8% interest compounded continuously would be worth $449.58 after 16 years

I will mark u as the brainiest if u get this correct
thx
x

Answers

Answer:

36

Step-by-step explanation:

6 * 6 = 36

its hard to explain but i know its right

Write the standard form (Ax + By = C) of the equation of the line that passes through the point (-2, 15) and has the slope m = -6

HELP ASAP PLEASE

Answers

Answer:

6x + y = 3

Step-by-step explanation:

Put in point slope form

y - 15 = -6 ( x +2 )

y - 15 = -6x - 12

y = -6x + 3

6x + y = 3

Create another ratio equivalent to 3 : 2 and 6 : 4.

Answers

Answer:

12:6

Step-by-step explanation:

Answer:

12:4

Step-by-step explanation:

think of it as 1/3, 4 is 1/3 of 12 because 4*3 is 12 to put it simply

-12)/b
plz help me with this question

Answers

I’m pretty sure it’s c. Sorry if I’m wrong :(

Answer:

I think it's C.

Step-by-step explanation:

Which pairs of quadrilaterals can be shown to be congruent using rigid motions?



Select Congruent or Not Congruent for each pair of quadrilaterals.

Congruent Not Congruent
quadrilateral 1 and quadrilateral 2
Congruent – quadrilateral 1 and quadrilateral 2
Not Congruent – quadrilateral 1 and quadrilateral 2
quadrilateral 1 and quadrilateral 3
Congruent – quadrilateral 1 and quadrilateral 3
Not Congruent – quadrilateral 1 and quadrilateral 3
quadrilateral 1 and quadrilateral 4
Congruent – quadrilateral 1 and quadrilateral 4
Not Congruent – quadrilateral 1 and quadrilateral 4
quadrilateral 2 and quadrilateral 3
Congruent – quadrilateral 2 and quadrilateral 3
Not Congruent – quadrilateral 2 and quadrilateral 3
quadrilateral 2 and quadrilateral 4
Congruent – quadrilateral 2 and quadrilateral 4
Not Congruent – quadrilateral 2 and quadrilateral 4
quadrilateral 3 and quadrilateral 4
Congruent – quadrilateral 3 and quadrilateral 4
Not Congruent – quadrilateral 3 and quadrilateral 4
Four quadrilaterals are graphed on a coordinate plane. The horizontal x-axis ranges from negative 5 to 5 in increments of 1. The vertical y-axis ranges from negative 5 to 5 in increments of 1. The vertices of quadrilateral 1 lie on begin ordered pair negative 1 comma 2 end ordered pair and begin ordered pair negative 1 comma 4 end ordered pair and begin ordered pair negative 3 comma 4 end ordered pair and begin ordered pair negative 4 comma 3 end ordered pair. The vertices of quadrilateral 2 lie on begin ordered pair 1 comma 2 end ordered pair and begin ordered pair 2 comma 3 end ordered pair and begin ordered pair 4 comma 3 end ordered pair and begin ordered pair 4 comma 1 end ordered pair. The vertices of quadrilateral 3 lie on begin ordered pair 4 comma negative 1 end ordered pair and begin ordered pair 1 comma negative 1 end ordered pair and begin ordered pair 1 comma negative 3 end ordered pair and begin ordered pair 2 comma negative 4 end ordered pair. The vertices of quadrilateral 4 lie on begin ordered pair 0 comma negative 1 end ordered pair and begin ordered pair negative 3 comma negative 2 end ordered pair and begin ordered pair negative 2 comma negative 3 end ordered pair and begin ordered pair 0 comma negative 3 end ordered pair.

Answers

Answer:

Answer:

quadrilateral 1 and quadrilateral 2 NOT CONGRUENT

quadrilateral 1 and quadrilateral 3 CONGRUENT

quadrilateral 1 and quadrilateral 4 CONGRUENT

quadrilateral 2 and quadrilateral 3 NOT CONGRUENT

quadrilateral 2 and quadrilateral 4 NOT CONGRUENT

quadrilateral 3 and quadrilateral 4 CONGRUENT

Step-by-step explanation:

quadrilateral 1 and quadrilateral 2 NOT CONGRUENT

quadrilateral 1 and quadrilateral 3 CONGRUENT:

rigid motion: reflection

axis of reflection: y=x

quadrilateral 1 and quadrilateral 4 CONGRUENT:

rigid motions: translation and reflection

axis of reflection y=0

quadrilateral 2 and quadrilateral 3 NOT CONGRUENT

quadrilateral 2 and quadrilateral 4 NOT CONGRUENT

quadrilateral 3 and quadrilateral 4 CONGRUENT:

rigid motions: translation and reflection

axis of reflection: x=0

Horizontal and parallel lines e and f are cut by transversal b. At the intersection of lines b and e, the uppercase right angle is (2 x + 18) degrees. At the intersection of lines b and f, the top right angle is (4 x minus 14) degrees and the bottom right angle is y degrees. What is the value of y? 16 50 130 164

Answers

Answer:

130

Step-by-step explanation:

From the FIQURE of the question, we can see that line "e" is parallel to line "f" then we can say (2x + 18)=( 4x - 14)

Then we can collect like terms

2x-4x= -14-18

-2x=-32

The negatives cancelled out we have

x = 16

From the question, At the intersection of lines b and f, the top right angle is (4 x minus 14) degrees

Angle on a straight line is 180° then we can calculate "y" as

y = 180 - (4x - 14)

= 180-4x+14

= 180+14-4x

But x= 16, then substitute we have

= 180 +14 - 14(16)

= 130

Hence, the value of y is 130

CHECK THE ATTACHMENT FOR THE FIQURE

Answer:

Answer above is correct - option C. 130!

Step-by-step explanation:

Hope this helps :D

I needddddddd helppppppp.

Answers

Answer:

27.3 (C)

Step-by-step explanation:

First, add 68 and 26 to get 94.

Subtract 94 from 180 (The measure of a triangle.)

You will get 86.

Subtract 4, to get 82.

Divide by three.

I hope this helps!

In ΔJKL, \overline{JL}
JL
is extended through point L to point M, \text{m}\angle LJK = (2x+2)^{\circ}m∠LJK=(2x+2)

, \text{m}\angle KLM = (8x-16)^{\circ}m∠KLM=(8x−16)

, and \text{m}\angle JKL = (3x+6)^{\circ}m∠JKL=(3x+6)

. Find \text{m}\angle KLM.m∠KLM.

Answers

9514 1404 393

Answer:

  48°

Step-by-step explanation:

Exterior angle KLM is equal to the sum of the remote interior angles.

  ∠KLM = ∠LJK + ∠JKL

  (8x -16)° = (2x +2)° +(3x +6)°

  8x -16 = 5x +8 . . . . . . . . . . divide by °, collect terms

  3x = 24 . . . . . . . . . . add 16-5x

  x = 8 . . . . . . . . divide by 3

The measure of the angle of interest is ...

  ∠KLM = (8x-16)° = (8·8 -16)°

  ∠KLM = 48°

HELP PLS IM BEING TIMED


Which graph represents y as a function of x?

Answers

Answer:

H I think

Step-by-step explanation:

hope this helps you!

Answer:

i think the answer it's letter F

4/5 w+13=25 please show work

Answers

Answer:

w=15

Step-by-step explanation:

4/5*w+13-(25)=0

STEP 1

4

Simplify —

5

Equation at the end of step1

4

((— • w) + 13) - 25 = 0

5

2.1 Adding a whole to a fraction

Rewrite the whole as a fraction using 5 as the denominator :

13 13 • 5

13 = —— = ——————

1 5

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

4w + 13 • 5 4w + 65

——————————— = ———————

5 5

Equation at the end of step2

(4w + 65)

————————— - 25 = 0

5

STEP 3

Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 5 as the denominator :

25 25 • 5

25 = —— = ——————

1 5

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

(4w+65) - (25 • 5) 4w - 60

—————————————————— = ———————

5 5

STEP4

Pulling out like terms :

4.1 Pull out like factors :

4w - 60 = 4 • (w - 15)

Equation at the end of step

4 • (w - 15)

———————————— = 0

5

STEP 5

When a fraction equals zero :

5.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

4•(w-15)

———————— • 5 = 0 • 5

5

Now, on the left hand side, the 5 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

4 • (w-15) = 0

Equations which are never true:

5.2 Solve : 4 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

5.3 Solve : w-15 = 0

Add 15 to both sides of the equation :

w = 15

Find the slope of the line that passes through these two points

Answers

Answer: 1/5

Step-by-step explanation:

(1--1)/(4--6) = 2/10 = 1/5

Slope= 1/5


Explanation:

Slope formula

Y2-y1/x2-x1

1-(-1)/4-(-6)

2/10

1/5

Solve the system of equations by substitution. x + y=7 y=6x The solution of the system is?

Answers

Answer:

The solution to the system is (1, 6)

Step-by-step explanation:

Trust me its correct

pls mark me as brainliest

At 6:16pm, a parachutist is 4500 feet above ground. at 6:22pm, the parachutist is 1900 feet above the ground. find the average rate of change in feet per minute

PLEASE HELP ASAP

Answers

Answer:

433.3333333333/min

Step-by-step explanation:

so 433/min

4500-1900= 2600

22-16=6

2600/6 =433.3333333333

the number of text messages sent by Tiffany to the number of text messages sent by her brother is 3 to 4. Tiffany sent 12 text messages. How many text messages did her brother send?

Answers

Answer:

16

Step-by-step explanation

12/3 = 4

4 x 4 = 16


Which measurements could not represent the side lengths of a right triangle?
A 6 cm, 8 cm, 10 cm
B 12 cm, 35 cm, 37 cm
C 4 cm, 6 cm, 10 cm
D 10 cm, 24 cm, 26 cm
6,8,10

Answers

I think the correct answer is c

Answer:

C

Step-by-step explanation:

It says COULD NOT so you just compare them. 10+4=14 so thats one side

6+10=16 so    another side BUT 6+4=10 so that automatically cancels out the last side because it is equal to 10. It has to be above 10. So C is te correct answer.  

The high school athletics department is installing a new rectangular addition to their current practice field. The length of the new addition will be at least 10 meters more than twice the width of the new addition. The original field has an area of 300 square meters. The area of the entire practice field, with the addition, must be no more than 1,200 square meters.
If A represents the area of the entire practice field, including the new addition, and x represents the width of the new addition, in meters, which system of inequalities can be used to represent this situation?

Answers

Answer:

the answer is D

Step-by-step explanation:

The system of inequalities that best represents this situation provided A denotes the area of the entire field is: [tex]\mathbf{\left \{ {{A\geq 2x^2+10x+300 } \atop {A \leq 1200}} \right. }[/tex]

What are word problems?

Word problems in mathematics are ways we can use variables, algebra notations, and arithmetic operations to solve real-life cases.

From the given information;

We have a new addition to the current rectangular field,

Let that new addition to the current rectangular field be xThe length of the new addition = 10xTwice the width of the new addition = 2x²The original area of the field = 300

From the above information, we can derive a quadratic equation:

2x² + 10x + 300

Also, we are given a constraint that the entire area of the practice field should be no more than 1200. i.e. It can be less than 1200 or equal to 1200.

Thus, the system of inequalities that best represents this situation provided A denotes the area of the entire field is:

[tex]\mathbf{\left \{ {{A\geq 2x^2+10x+300 } \atop {A \leq 1200}} \right. }[/tex]

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Which equation represents the line shown on the coordinate right below

Answers

Answer:

A

Step-by-step explanation:

9514 1404 393

Answer:

  A

Step-by-step explanation:

The line has positive slope (rises to the right) and a y-intercept of -2. The only matching choice is A.

__

Each of the equations is in slope-intercept form:

  y = mx + b . . . . . where m is the slope and b is the y-intercept

So, you need to choose the one that has m > 0 and b = -2.

Which of the following is not one of the eight recognized consumer rights?
a. right to safety
b. right to choose
C. right to be heard
d. right to dignity

Answers

C (i think)

Step-by-step explanation:

of course you get right to safety, choose, and to have dignity

There are 8 consumers from the Consumer Bill of Rights.

- right to be informed

- the right to choose

- the right to safety

- the right to be heard

- the right to have problems corrected

- the right to consumer education

- the right to service

The right to dignity is not one of the eight recognized consumer rights.

Option D is the answer.

What are consumers right?

There are 8 consumers from the Consumer Bill of Rights.

- right to be informed

- the right to choose

- the right to safety

- the right to be heard

- the right to have problems corrected

- the right to consumer education

- the right to service

We have,

a. right to safety

This belongs to the 8 consumer rights.

b. right to choose

This belongs to the 8 consumer rights.

C. right to be heard

This belongs to the 8 consumer rights.

d. right to dignity

This does not belong to the 8 consumer rights.

Thus,

The right to dignity is not one of the eight recognized consumer rights.

Option D is the answer.

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can someone please help :/ quickly pls

Answers

Answer:

I'm sorry the calculator for geometry isn't working right. I'm so sorry

Step-by-step explanation:

Pls help a playa out I have no idea what we doing

Answers

Answer:

It would be the last one, (0,4)

Step-by-step explanation:

It does not shift anywhere left or right just shifts down 4 so it would be a negative 4

Which ordered pair is a solution of the equation?

-7x + 3y = 2

Choose 1 answer



Answers

Answer:

your answer would be both

Step-by-step explanation:

i checked it on khanacademy

Answer:

both

Step-by-step explanation:

khan academy

.
Nerissa has 5 pink bows, 1 blue bow, and 4 purple bows in a box. She will randomly choose 1 bow from the box.



What is the probability Nerissa will choose a purple bow?

Answers

Answer:

the answer would be 4/10 but the simplified version would be 2/5.

Step-by-step explanation:

add up how many bows you have, that will be the denominator. Then, the numerator is the number of purple bows. and if your going to simplify it divide the numerator and denominator by 2.

Answer:

fraction wise(4/10 chance)

percent wise:(40% chance)

Step-by-step explanation:

(There are 2 options) First add all of the bows then see how many purple bows there are. Since there are 4 bows it would be 4/10 or 40%.

Find the coordinates of the midpoint of the segment whose endpoints are H(2, 15) and K(6,3)
(4,12)
(2,6)
(8, 18)
(4,9)

Answers

Answer:

(4,9)

Step-by-step explanation:

The formula for midpoint is (x2+x1/2, y2+y1/2)

insert numbers: (6+2/2,3+15/2)

simplify: (8/2,18/2)

simplify further: (4,9)

and finding the equation pls!

Answers

Answer:

Step-by-step explanation:

y = x + 5

(0,5)

(1, 6)

(3,8)

(5, 10)

what is the perpendicular slope intercept form plss??​

Answers

Answer: first put the equation of the line given into slope intercept form by solving for why you get why equals negative 2X +5 so the slope is negative to perpendicular lines have a opposite reciprocal slopes so the slope of the line we want to find is 1/2 plugging in the point given to the equation why equals 1/2 X plus B and solving Furby we get B equals six

Step-by-step explanation:

Which expression is equivalent to 8a + 20? (5 points)

a
4(2a + 20)

b
4(2a + 5)

c
4(4a + 16)

d
4(4a + 5)

Answers

Answer:

b. 4(2a + 5)

Step-by-step explanation:

Multiply into the brackets

4 x 2a & 4 x 5

8a + 20

B
4(2a+5)
4*2a +4*5
8a+20

GIVING BRAINLIEST TO WHOEVER ANSWERS THIS QUESTION CORRECT
Maria wants to put a circular mirror on a wall. The mirror has a radius of 23 inches. How many square inches of space will the mirror take up on the wall?

A. 23

B. 529

C. 46

D. 92

Answers

Answer:

No correct choice

Step-by-step explanation:

Given

r = 23 in

Area of the mirror:

A = πr²A = 3.14*23² = 1661 in²

None of the choices is correct

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