The points (0, 3), (1, 4), (2, 7), and (3, 12) are on the graph of a function.
Write an explicit function that can be used to represent the function.

Answers

Answer 1

Answer:

f(x)= ?

Step-by-step explanation:

0         3          

1         4

2           7

3            12


Related Questions

need help asap please

Answers

Answer:

y=3/4x+1

Step-by-step explanation:

If you rearrange the given equation to slope intercept form, you'll find the slope to be -4/3. If a line is perpendicular to another it'll have the opposite reciprocal for a slope, meaning the new line's slope would be 3/4. If you plug 3/4 and the given point's x and y value into slope intercept form you'll find the b value or y intercept to be 1. Since you now have the slope and the y intercept you can determine the equation to be y=3/4x+1. Hope this helps!

yoo i need help... pls

Answers

Answer:

-9x⁹y⁵

Step-by-step explanation:

Simplifying:

(-8x⁴y³)*(2x⁵y²) + 7x⁹y⁵ =-16x⁴⁺⁵y³⁺² + 7x⁹y⁵ =-16x⁹y⁵ + 7x⁹y⁵ =(-16 + 7)x⁹y⁵  =-9x⁹y⁵

Step-by-step explanation:

-9x⁹y⁵

Simplification↑

5x - 3 (x+3) = what to have infinitely many solutions

Answers

Answer: 1/4

Step-by-step explanation: I think that’s the answer! i’m sorry i’m in 8th fe are

HELP QUICK FREE BRAINLYEST FOR RIGHT ANSWER

what is 10*5-2+279-57/3*4=?

Answers

1234 ok ok ok ok hehe

Answer:

251 because yes and yes hope it helps

System of Equations : Money

Damian has been saving coins he finds on the ground for several months. So far he has found 37 coins that are either pennies or nickels. The combined value of his found pennies and nickels currently is $1.09. What is the system of linear equations, written using standard form, represents the situation if Damian found p pennies and n nickels.​

Answers

Answer:

18 nickles 19 pennies

Step-by-step explanation:

value of 1 penny=$0.01

value of 1 nickle=$0.05

0.01p+0.05n=1.09

p+n=37

there are two methods for this system

I.substitution

p+n=37

p=37-n

we replace p in the first relation

0.01(37-n)+0.05n=1.09

0.37-0.01n+0.05n=1.09

0.04n=0.72

n=18 nickels

p+18=37

p=37-18=19 pennies

II.reduction

0.01p+0.05n=1.09

p+n=37

we multiply the second equation by 100

p+5n=109

p+n=37

we calculate the difference between the two relations

p-p+5n-n=109-37

4n=72

n=18

p+18=37

p=19

How to Rewrite the expression 4(13-10) using distributive property of multiplication over subtraction

Answers

Answer:

52-40

Step-by-step explanation:

distribute 4 to 13 and 10

put the subtraction sign back in

Find the value of x and the measure of the angle labeled 16X".
112
64°
48°
16x

Answers

Answer:

[tex]16x = 48\:(vertically\:opposite\:angles)\\ \boxed{x = 3} \\ angle \: measure \: is \: \boxed{48°}[/tex]

A. is the right answer.

Answer:

A

Step-by-step explanation:

there are 56 tulips in a flowerbed. the ratio of tulips to daffodils is 3:5. how many tulips and how many daffodils are there in a flowerbed? (Pls answer correctly)

Answers

Answer:

96

Step-by-step explanation:

3x + 5x = 8x.

8 altogether -->  3 tulips and 5 daisies

16 altogether --> 6 tulips and 10 daisies

24 altogether ---> 9 tulips and 15 daisies

etc

etc

48 altogether --> 12 tulips and 20 daisies

96 altogether --> 15 tulips and 25 daisies

Answer:

55 : 56.6666666667

Step-by-step explanation:

3:5 ÷ 3 = 1 : 1.66666666667 + 55= 56.6666666667

Learning Task 1: Write and answer the following in your answer sheet
1. Evaluate the following polynomials in your answer sheet.
f(x) = x4 – 7x2 + 2x - 6
x=1
b. f(x) = 10x3 + 4x2 - 5
x = -3
f(x) = x4 + 5x3 - 2x + 3
a.
at
at
C.
find (2))2
2. Factor each polynomial completely using any method
(x + 1)(x2 – 5x + 6)
b. (x2 - * - 6)(x2 + 6x + 9)
x3 + 3x2 - 4x - 12
a.
C.
LABAR

Answers

Answer:

Evaluating Polynomials:

a. f(1) = -10  

b. f(-3) = -239  

c. f(2)² = 3125

Factoring Polynomials:

a. (x + 1)(x² - 5x + 6) = (x + 1)(x - 3)(x - 2)  

b. (x² - x - 6)(x² + 6x + 9) = (x - 3)(x + 2)(x + 3)(x + 3)  

c. x³ + 3x² - 4x - 12 = (x + 3)(x - 2)(x + 2)(x - 2)(x + 2)  

A polynomial can be evaluated and factored by long division, factoring and synthetic division methods.

1. Evaluate polynomials

[tex]\mathbf{f(x) = x^4 - 7x^2 + 2x - 6}[/tex]

Substitute 1 for x

[tex]\mathbf{f(1) = 1^4 - 7(1)^2 + 2(1) - 6}[/tex]

[tex]\mathbf{f(1) = 1 - 7 + 2 - 6}[/tex]

[tex]\mathbf{f(1) = -10}[/tex]

[tex]\mathbf{f(x) = 10x^3 + 4x^2 - 5}[/tex]

Substitute -3 for x

[tex]\mathbf{f(-3) = 10(-3)^3 + 4(-3)^2 - 5}[/tex]

[tex]\mathbf{f(-3) = -270 + 36 - 5}[/tex]

[tex]\mathbf{f(-3) = -239}[/tex]

[tex]\mathbf{f(x) =x^4 + 5x^3 - 2x + 3}[/tex]

Substitute 2 for x

[tex]\mathbf{f(2) =2^4 + 5(2)^3 - 2(2) + 3}[/tex]

[tex]\mathbf{f(2) =16 + 40 - 4 + 3}[/tex]

[tex]\mathbf{f(2) =55}[/tex]

Square both sides

[tex]\mathbf{f(2)^2 =3025}[/tex]

Hence, the results of evaluating the polynomials are [tex]\mathbf{f(1) = -10}[/tex], [tex]\mathbf{f(-3) = -239}[/tex] and [tex]\mathbf{f(2)^2 =3025}[/tex]

2. Factor the polynomials

[tex]\mathbf{(x + 1)(x^2 - 5x + 6)}[/tex]

Expand

[tex]\mathbf{(x + 1)(x^2 - 5x + 6) =(x + 1)(x^2 - 2x - 3x + 6) }[/tex]

Factorize

[tex]\mathbf{(x + 1)(x^2 - 5x + 6) =(x + 1)(x(x - 2) - 3(x - 2) )}[/tex]

Factor out x - 2

[tex]\mathbf{(x + 1)(x^2 - 5x + 6) =(x + 1)(x - 3)(x - 2) }[/tex]

[tex]\mathbf{(x^2 - x - 6)(x^2 + 6x + 9)}[/tex]

Expand

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

Factorize

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

Factor out x + 2 and x + 3

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

Remove square brackets

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

[tex]\mathbf{x^3 + 3x^2 - 4x - 12}[/tex]

Factorize

[tex]\mathbf{x^3 + 3x^2 - 4x - 12 = x^2(x + 3) - 4(x + 3)}[/tex]

Factor out x + 3

[tex]\mathbf{x^3 + 3x^2 - 4x - 12 = (x^2 -4) (x + 3)}[/tex]

Apply the difference of two squares

[tex]\mathbf{x^3 + 3x^2 - 4x - 12 = (x -2)(x+2) (x + 3)}[/tex]

Hence, the results of factoring the polynomials are [tex]\mathbf{(x + 1)(x^2 - 5x + 6) =(x + 1)(x - 3)(x - 2) }[/tex], [tex]\mathbf{(x^2 - x - 6)(x^2 + 6x + 9) = (x - 3) (x + 2)(x + 3)(x + 3)}[/tex] and [tex]\mathbf{x^3 + 3x^2 - 4x - 12 = (x -2)(x+2) (x + 3)}[/tex]

Read more about polynomials at:

https://brainly.com/question/11536910

12x-20=n(3x-5) what does n equal​

Answers

The answer is 4 do you need a step by step explanation or no
the answer is 4 because 12x-20 =4(3x-5)

you will have amazing luck if you help me

Answers

Answer:

b

Step-by-step explanation:

because of the value of the area

b is the answer

This is urgentttttt!!!!!!

Answers

Answer:

Part A: a. the point 3 units to the left of 7

Part B: b. -4

Step-by-step explanation:

Part A: The expression can be simplified into 7 - 3, and when you subtract a number, you go left on the number line, so the point 3 left of 7

Part B: 7 - 3 = 4, and to get to 0 from 4, you need to subtract 4 or add -4

Which situation can be represented by the equation y=74x?

Answers

What do you "mean"?

What is the solution to this equation?
X-8 = 15

Α. x= 17
Β. χ= 13
C. χ= 7
D. χ= 23

Answers

Answer:

D.) X=23

Step-by-step explanation:

cause you add 8 to each side then simplify and you get 23

is 11/12 equivalent or greater to 11/13​

Answers

Answer:

[tex] \frac{11}{12} > \frac{11}{13} [/tex]

Step-by-step explanation:

Here , the fraction has same numerators but the denominators are different. Whenever any 2 fractions have same numerator but diffeent denominators , the fraction whose denominator is less is greater than the fraction whose denominator is more.

Here 11 is common in both the numerators but when we talk about denominators , 12 < 13 . So,

[tex] \frac{11}{12} > \frac{11}{13} [/tex]

Verification :-

[tex] \frac{11}{12} = 0.9166666667 = 0.91(appx)[/tex]

[tex] \frac{11}{13} = 0.8461538462 = 0.84(appx)[/tex]

Which statements are true? Select each correct answer.
A ​ −2 ​ is farther from zero on the number line than ​ −1 ​ , so |−2|>|−1| .
B The absolute value of −2 is positive.
C The absolute value of −2 is less than the absolute value of 2.
D Since −2 is 2 units to the left of 0, |−2|=−2 .

Answers

Answer:

A and B

Step-by-step explanation:

If you are good at math please dm me on ig 14lies, or twitt binderelluh1

Answers

Answer:

Okay

Step-by-step explanation:

Which table of values represents a linear function? A B Y y y 0 7 8 7 1 1 3. --- 2 5 2 -1 4 3 3 -4 7 2 С D 2 y y 3 -2 =7 3 5 -1 -5 2 7 1 0 1 1 9 3 4 -3​

Answers

Answer:

it c for sure

Interest calculated only on the principle is

Answers

Amount of a loan or deposit ?

hurry ASAP 100 points !!!!

Answers

Answer:

I am pretty sure 1=constant independednt, 2 is inconsistent and three is constant dependent

Step-by-step explanation:

I am not positive tho..

Answer:

the first one is y=-5+2x

Complete the equation so it has infinitely many solutions.

4x + 7 = 4(x + 3) –
i juss wanna give yall sum points yw
;)

Answers

Answer:

im not sure

Step-by-step explanation:

Answer:

Thx for the points the answer is also 5

Step-by-step explanation:

Solve the equation. 2/3 t=4/5


A. t= 2/15


B. t= 8/15


C. t= 1 and 1/5


D. t= 1 and 7/15

Answers

Answer:

it's C.

Step-by-step explanation:

make it braintliest please

Im giving Brainlest to who answers the best

Answers

Answer:

oop

Step-by-step explanation:

The Carousel Creators constructed a model of their latest Amusement Park Carousel. What is the scale using 1 cm if the model Carousel houses have a height of 7 cm and the actual Carousel horses are 3.5 meters?
a) 0.5 meters
b) 3.5 meters
c) 0.5 centimeters
d) 3.5 centimeters

Answers

Answer:

c

Step-by-step explanation:

5(-6 + 4)=..................​

Answers

Answer:

-10

Step-by-step explanation:

5(-6 + 4)

=-30+20

=-10

Answer:

-10 or just 10 in general

Step-by-step explanation:

pls help asap no trolls!

Answers

Answer:

YX < YW < XW

Step-by-step explanation:

12v +(v+57) + (v+39) = 180

14v + 96 = 180

14v = 84

v = 6

3 angles from smallest to largest: 72° (12v) (XW) , 63° (v+57)(YW) , 45° (YX)

side length: YX < YW < XW

Select the correct answer.
What are the slope and the y-intercept of the line of best fit on this scatter plot?

Answers

Answer:

A

Step-by-step explanation:

slope is change in y over change in x, line goes down 4, right three whole units, making the slope -4/3

y-intercept is where the line hits the y-axis

the line hits the y-axis at (0,8)

this makes the y-intercept 8

Answer:

The y-intercept is 8 , and the slope is -4/3.

Step-by-step explanation:

Use the properties of exponents to simplify the expression: 2532
25
3
2


Question 11 options:

A)

125

B)

25

C)

625

D)

5
Question 12 (5 points)
Solve the inequality: (x −3)12+ 2 ≥4
(
x

-
3
)
+

2


4
Question 12 options:

A)

x ≥ 35

B)

x ≥ 11

C)

x ≥ 7


D)

x ≥ 13

Answers

Question

Use the properties of exponents to simplify the expression: [tex]25^{\frac{3}{2}}[/tex]

Answer:

[tex]25^{\frac{3}{2}} = 125[/tex]\

Step-by-step explanation:

Given

[tex]25^{\frac{3}{2}}[/tex]

Required

Simplify

[tex]25^{\frac{3}{2}}[/tex]

Apply the following law of indices

[tex]a^{\frac{m}{n}} = (a^m)^{\frac{1}{n}}[/tex]

So, the expression becomes

[tex]25^{\frac{3}{2}} = (25^3)^{\frac{1}{2}}[/tex]

Express [tex]25^3[/tex] as 15625

[tex]25^{\frac{3}{2}} = (15625)^{\frac{1}{2}}[/tex]

In indices: [tex]a^{\frac{1}{2}} = \sqrt a[/tex]

So, we have:

[tex]25^{\frac{3}{2}} = \sqrt{15625[/tex]

[tex]25^{\frac{3}{2}} = 125[/tex]

Directions: Convert the following equations from standard form to slope-intercept form.
(10 points)

14. 4x + y = -1

15. 5x - 2y = 14

16. 10x - 2y = -6

17. 8x + y = 12

18. 6x - 10y = 20

Answers

y= -4x-1
y= 5/2x-7
y=5x+3
y= -8x +12
y= 3/5x-2

Evaluate g(t) for the given values of t.

g(t)=|17-t|

A)g(11)=
B)g(12)=

Answers

Answer:

Step-by-step explanation:

g(t)=|17-t|

A)g(11)=|17-11|

         = |6|

        =  6

B)g(12)=|17-12|

          =|5|

          =5

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