Find the equation of the linear function represented by the table below in slope- intercept form. х: -2, 2, 6, 10 y: -5, 7, 19, 31​

Answers

Answer 1

Answer:

y = 3x + 1

Step-by-step explanation:

Slope-intercept form is y = mx + b.

To find the slope (m), you use the equation (y1-y2)/(x1-x2). Plug in your points (-2, -5) and (2, 7) to get (-5 - 7)/(-2 - 2). Simplify the formula to get a slope of 3. This is your variable m.

To get the entire equation, finding b in the process, you use the formula y - y1 = m(x - x1). Replace m with 3. Using the point (-2, -5), replace it with (x1, y1) respectively to get y + 5 = 3(x + 2). Distribute to get y + 5 = 3x + 6. Isolate the y to get your final answer: y = 3x + 1.


Related Questions

HELP I ONLY GOT 3 MINUTES!!!!!!!!!!!!!!

Answers

Answer: 4

Step-by-step explanation:

A large box holds 125% as many toys as a small box. If the large box hold 25 toys, how many toys does the small box hold? Your answer​

Answers

5 toys.

125/25 = 5 tiys

How would you use a table to graph –3x + 4y = 23?

Answers

Answer: you would look for y and then once you have y you put it into desemos which is a graphing app and then you get your line

Step-by-step explanation: you would do +3x on both sides with out doing it to the 4y and the. You would get 4y =23+3x and then you divide everything by 4 even the 4y and then you would get y= 23/4 + 3/4x and then you put it into desemos and it will give you it graphed

Rafael said 5 equals – 5. Is Rafael correct? Use the number line and words to support your answer.

Answers

Answer: Rafael is incorrect

Step-by-step explanation: 5 is not equal to -5. It is the additive inverse, or negative reciprocal.

Answer:

No he is not because 5=5 when talking about absolute value I think sorry I couldn't show the number line

Step-by-step explanation:

My last question plz help me

Answers

The answer is c I hope this helps
the answer is c i am pretty sure

Helpppppppppppppppppp

Answers

Answer:

6

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

90 Degrese Rotation

Find the value of x if 9^1/2 • 9^1/2 = x^√81

Answers

Answer:

(√9)^2x-1/2 = 1/81

3^2x-1/2 = 1/(3)⁴. (as √9 = 3)

3^2x-1/2 = 3^-⁴. (as 1/a^m = a^-m)

as base are equal exponents are equal

so 3 gets cancelled out

2x-1/2 = -4

(4x-1)/2 = -4

4x-1 = -8

x = -7/4

hope this helps

Step-by-step explanation:

Which of the following is closest to 1/2 + 1/3?

Answers

Answer:

c

Step-by-step explanation:

If f(x) = -7x+1 and g(x) = -5x+3, what is (f+g)(x)?

Answers

Answer:

-12x + 4

Step-by-step explanation:

Just write the givens like this f(x) + g(x)  

f(x) + g(x) = -7x + 1  + - 5x + 3

f(x) + g(x) = - 7x + 1 - 5x + 3

f(x) + g(x) = - 12x + 4

i dont know this one help needed thanks.

Answers

Answer:

B- 27/9

Step-by-step explanation:

Plz answer quickly!!!!!!!

Answers

Answer:

(A). x ≥ [tex]\frac{16}{5}[/tex] and x ≤ - [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

5x - 4 ≥ 12 ⇔ 5x ≥ 16 ⇒ x ≥ [tex]\frac{16}{5}[/tex]

and

12x + 5 ≤ - 4 ⇔ 12x ≤ - 9 ⇔ 4x ≤ - 3 ⇒ x ≤ - [tex]\frac{3}{4}[/tex]

find the constant rate of change​

Answers

Answer:

- 2 ft/ s

Step-by-step explanation:

The rate of change is the slope m of the line.

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 80) and (x₂, y₂ ) = (40, 0) ← 2 points on the line

m = [tex]\frac{0-80}{40-0}[/tex] = [tex]\frac{-80}{40}[/tex] = - 2

Rate of change is - 2 ft/ s

Pls help I dont under stand this at all

Answers

Answer:

0.5 = 0.25

1=2

2=4

2.5=5

3=6

Step-by-step explanation:

distance divided by 2 equals the time

i hope this helps!

Plz Helppp meeee assapppp

Answers

Given:

A right angled triangle.

To find:

The value of x.

Solution:

We have,

Base = x

Hypotenuse = [tex]\sqrt{5}[/tex]

In a right angle triangle,

[tex]\cos \theta = \dfrac{Base}{Hypotenuse}[/tex]

For the given triangle,

[tex]\cos 45^\circ= \dfrac{x}{\sqrt{5}}[/tex]

[tex]\dfrac{1}{\sqrt{2}}= \dfrac{x}{\sqrt{5}}[/tex]

Multiply both sides by [tex]\sqrt{5}[/tex].

[tex]\dfrac{\sqrt{5}}{\sqrt{2}}= x[/tex]

[tex]\dfrac{\sqrt{5}}{\sqrt{2}}\times \dfrac{\sqrt{2}}{\sqrt{2}}= x[/tex]

[tex]\dfrac{\sqrt{10}}{2}= x[/tex]

Therefore, the required value of x is [tex]\dfrac{\sqrt{10}}{2}[/tex].

What is the answer 2(9-6)^2/18

Answers

Answer:

1

Step-by-step explanation:

So just follow order of operations

9-6=3

3^2=9

9*2=18

18/18=1

Final answer is 1

Which polynomial can be factored using the binomial theorem?

100x2 + 70x + 49
100x2 + 210x + 49
1,000x3 – 2,100x2 + 1,470x – 343
1,000x3 – 2,800x2 + 1,960x – 343

Answers

Answer:C

Step-by-step explanation:

The polynomial can be factored using the binomial theorem is

1,000x³  – 2,100x² + 1,470x – 343.

What is Binomial Theorem?

Assertion that the sum of the nth power of the product of two positive integers a and b may be written as the sum of the n + 1 terms of the form for any positive integer n.

If a and b are real numbers and n is a positive integer, then

[tex](a + b)^n =^nC_0 a_n + ^nC_1 a_{n-1} b_1 + ^nC_2 a_{n-2} b_2 + ... 1.[/tex]

Given:

Using Binomial we can write

(a+ b)³ = a³ + b³ + 3a²b + 3ab²

and, (a+ b)² = a² + 2ab + b²

So, 100x²+ 70x + 49 and 100x² + 210x + 49 cannot be factors using Binomial Theorem because the correct expansion would be

(10x+ 7)² = 100x² + 140x + 49

and, 1,000x³  – 2,100x² + 1,470x – 343 can be factored using Binomial theorem.

As, (10x - 7)³ = 1000x³ -2100x² + 1470x - 343.

Learn more about Binomial theorem here:

https://brainly.com/question/27813780

#SPJ6

write 132 as a product of prime factors.

Answers

Answer:

132

Step-by-step explanation:2 x 2 x 3 x 11

pls help (15 pts)
whats the value of p

Answers

I think p will 2 is this 8th grade math ?

Which graph represents a function

Answers

Answer:

graph d .

\

Step-by-step explanation:

Graph d, it passes the vertical line test!

I'll give you brainliest once i know its right !!

Answers

Answer:

D

Step-by-step explanation:

H77777777

Answer:

48%

Step-by-step explanation:

If the coin is flipped 250 times, and lands on tails 120 times, set this up as a fraction. Put 250 on the bottom, and 120 on the top (because you want to know percentage of tails for 250 coin flips) to get 120/250. This is 0.48, to turn this into a percentage multiply by 100, 48%. You can check this answer by taking 0.48(250) and you will get 120.

Marta received $5 for helping her dad in the back yard. She spent $2.40 on drinks and $1.33 on snacks. A)Write an equation to show how much money she has left. Remember to define your unknown. B)Solve the equation from part (a). Show your work

Answers

Answer:

5-( 2.40+1.33 )= $1.27

Step-by-step explanation:

If you add $2.40 to $1.33 you get $3.73, the total amount of money she spent on drinks and snacks. Then you would need to subtract $3.73 from $5.00, which is $1.27.

I hope this helps!

Identify the elementary row operation(s) being performed to obtain the new row-equivalent matrix. Original Matrix −1 −1 2 −1 2 −7 3 −5 4 4 −6 3 New Row-Equivalent Matrix −1 −1 2 −1 0 −9 7 −7 0 0 2 −1

Answers

Answer:

124589l

Step-by-step explanation:

Nası ndsl merhaba hocam nasılsınız merhaba canım nasılsın merhaba canım benim ya da arama yapmayınız nasılsın bir yöntem olup olmadığını düşünelim sırasıyla görüşmek dileğiyle iyi geceler tatlı uykular haram olsun

Find the slope of line A2 B-2 C3 D-1

Answers

Answer:

-2

Step-by-step explanation:

The line is going down 2 over 1 making it -2/1

this becomes -2

Answer:

-2

Step-by-step explanation:

What number is the next term in the number pattern? 1/10, 3/12, 7/14, 13/16, … Enter your answer in the box.
A.21/18
B.19/18
C. 21/16
D.19/18

Answers

Answer:

A. 21/18

Step-by-step explanation:

The numerator pattern is adding 2 every time to the difference (ex: difference between 1 and 3 is 2, then difference between 3 and 7 is 4). Meanwhile the denominator is only adding 2 everytime.

Estimate using mental math: 32.4970 – 4.02 what is the answer

Answers

Answer:

The estimated answer would be 8

Step-by-step explanation:

When you divide 32 by 4 the answer is 8 and so using mental math you can estimate the answer to be 8 or somewhere around it

z+ 3/2 = 0
what do i do next .?

Answers

Step-by-step explanation:

z+3/2=0

find the LCM of z +3/2

2z+3/2=0

cross multiply

0=2z+3

-3=2z

z=-3/2

z=-1.5

Given that,
2a + 5b=22
b = 2
Find the value of a.​

Answers

Answer:

11

Step-by-step explanation:

Answer:

a=5.5 I hope this helped you

Enter the value for x that makes the equation 1/2 (4x – 8) + 3x = 36 true.

Answers

Answer:

x = 8

Step-by-step explanation:

1/2(4x – 8) + 3x = 36

~Simplify left side

2x - 4 + 3x = 36

~Combine like terms

5x - 4 = 36

~Add 4 to both sides

5x = 40

~Divide 5 to both sides

x = 8

Best of Luck!


y = -x + 5
Write in standard form. PLEASE SHOW WORK

Answers

Regroup terms.
y
=
5

x
y=5−x

2 Subtract
5
5 from both sides.
y

5
=

x
y−5=−x

3 Multiply both sides by

1
−1.

y
+
5
=
x
−y+5=x

4 Regroup terms.
5

y
=
x
5−y=x

5 Switch sides.
x
=
5

y
x=5−y

Find the area and perimeter of the original planned patio and the new planned patio? help me please​

Answers

Answer:

Original Patio:

-perimeter - 36 feet

-area - 80 square feet

New Patio:

-perimeter - 40 feet

-area - 96 square feet

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