please help

the ordered pairs (0,-1),(1,0),(2,3),(3,8),(4,15) represents the function


Write an equation that represents the function. y =?

Please Helpthe Ordered Pairs (0,-1),(1,0),(2,3),(3,8),(4,15) Represents The Function Write An Equation

Answers

Answer 1

Answer:

       y = x² - 1

Step-by-step explanation:

y = -1 for x = 0 {point(0, -1)} means -1 at the end of formula

If we add 1 to y-coordinate of  every given point we get the squares of x-coordinate:

(1, 0):   1² - 1 = 0

(2, 3):   2² - 1 = 4 - 1 = 3

(3, 8):   3² - 1 = 9 - 1 = 8

(4, 15):   4² - 1 = 16 - 1 = 15

So for any x:

(x, y)   y = x² - 1


Related Questions

In an inverse variation, x = -6 when y = -1/2. What is the value of y when x = 4?

Answers

Answer:

[tex]9 \frac{1}{2} [/tex]

Step-by-step explanation:

just add 5.5 to each number and make it in fraction

hop it helps you

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Tamika is ordering a taxi from an online taxi service. The taxi charges $3.50 just for the pickup and then an additional $0.75 per mile driven. How much would a taxi ride cost if Tamika is riding for 5 miles? How much would a taxi ride cost that is m miles long?

Answers

Answer:

m= 7.50

Step-by-step explanation:

0.75x5=4.00

4.00+3.50=7.50

A taxi ride cost if Tamika is riding for 5 miles will be $7.25.

What is Linear function?

A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph.

Given, Tamika is ordering a taxi from an online taxi service. The taxi charges $3.50 just for the pickup and then an additional $0.75 per mile driven.

Let "m" be the miles Tamika is riding along.

Total additional charges = m *0.75

pick up charges = 3.50

So, Total charges Tamika has to pay for m miles = 0.75*m + 3.50

For m = 5 miles

Tamika has to pay for 5 miles = 0.75 * 5 + 3.50

Tamika has to pay for 5 miles = 7.25

Therefore, 7.25$ would a taxi ride cost if Tamika is riding for 5 miles.

Learn more about Linear Function here:

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Rodrigo practiced playing the guitar 15 1/3 hours over the past 3 weeks.
He practiced for 5 1/4 hours during the first week and 5 2/3 hours during the second week.
How much time did Rodrigo spend practicing during the third week? Use the numbers and symbols to select the equation that represents the problem. Then solve the equation. Symbols may be used more than once or not at all.
15 1/3, 5 1/4, 5 2/3, x, =, and +.

The equation that represents the problem is
a. 15 1/3 = x - 5 1/4 - 5 2/3
b. x = 15 1/3 + 5 1/4 + 5 2/3
c. x + 15 1/3 = 5 1/4 + 5 2/3
d. 15 1/3 = 5 1/4 + 5 2/3 + x

Answers

D, because we already know how much he spent in total so it isnt B, trust me its D

Answer: d. 15 1/3 = 5 1/4 + 5 2/3 + x

Step-by-step explanation:

15 1/3 (total) = 5 1/4 (first week) +5 2/3 (second week) +x (third week)

When you add the amount of time Rodrigo practiced each week, you get the total amount of time he practiced

What is the slope of a line perpendicular to the line whose equation is 4x−y=9. Fully reduce your answer.

Answers

Answer:

slope of given line is 4.

so slope of line perpendicular to it will be -1/4

11 quarts of soil are used to completely fill 5 flower pots. If each pot holds the same amount of soil, how many quarts will each pot hold?

Answers

11 divided among the 5
2 and 1/5
Or 2.2

Express the function F in the form f ∘ g. (Enter your answers as a comma-separated list. Use non-identity functions for f(x) and g(x).) F(x) = x + 2

Answers

Answer:

[tex]F(x) = f \circ g[/tex]

[tex]f(x) = x + 2[/tex] and [tex]g(x) = x[/tex]

Step-by-step explanation:

Given

[tex]F(x) = x + 2[/tex]

Required

Express as

[tex]F(x) = f \circ g(x)[/tex]

In functions:

[tex]f \circ\ g(x) = f(g(x))[/tex]

So, we have:

[tex]f(g(x)) = x + 2[/tex]

g(x) can be set to x and f(x) to x + 2

Hence:

[tex]F(x) = f \circ g[/tex]

When: [tex]f(x) = x + 2[/tex] and [tex]g(x) = x[/tex]

Help me please answer thanks

Answers

x: spiders, y:tree
x+2y=40
2x+5y=85

w is directly proportional to u if w=5 when u=3,find u when w is =2/7​

Answers

Answer:

u = 6/35

Step-by-step explanation:

w = k * u

w = ku

Where

k = constant of proportionality

if w=5 when u= 3

w = ku

5 = k * 3

5 = 3k

k = 5/3

find u when w is =2/7​

w = ku

2/7 = 5/3 * U

2/7 = 5/3u

u = 2/7 ÷ 5/3

= 2/7 × 3/5

= (2*3)/(7*5)

= 6/35

u = 6/35

You deposit $100 in a savings account. The account earns 11% simple interest per year.
a. What is the interest earned after 10 years?
The interest earned is $
after 10 years.
b. What is the balance after 10 years?
The balance is $
after 10 years.

Answers

Answer:

a. ----> $10b. ----> $110

Step-by-step explanation:

principle ( p ) = $100time ( t ) = 10 years rate ( r ) = 11%simple interest = (p × r × t)÷ 100 = ( $100 × 11 × 10 )÷ 100 = 11000 ÷ 100 = $110

interest = simple interest - principle interest = $110 - $100 = $10

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2a+3b=5
b=a-5 help please

Answers

Answer:

2a + 3b = 5

b = a - 5

Step-by-step explanation:

2a + 3b = 5

b = a - 5

You can write this another way:

2a + 3(a-5) = 5 ( I added the second formula in the first one )

Now you gotta factor out:

2a + 3a - 15 = 5

Here im gonna do plus 15

2a + 3a = 20 ==> 5a = 20

Now if you divide by 5, you get: a = 4

Now you can fill in the second formula again

b = a - 5 (ill fill this in now)

b = 4 - 5 = -1

So, this makes:

a = 4 , b = -1

Answer:

a = -2

b = -7

Step-by-step explanation:

the best method to solving this system of equations would be substitution since you are given an expression that equals one of the variables you're solving for (which is b = a - 5)

to begin, plug in a - 5 for b in the equation 2a + 3b = 5.

2a + 3b = 5 ⇒ 2a + 3(a - 5) = 5

the next step is to distribute 3 to a - 5. start with distributing 3 to a, which is just multiplying 3 · a. after that, you're left with a minus sign and 5, so that sign gets attached to the 5 and makes it a -5. distribute 3 to -5, which is just multiplying 3 · -5.

2a + 3(a - 5) = 5 ⇒ 2a + 3a - 15 = 5

since you have two terms with the variable a on one side of the equation (2a and 3a), combine the two like terms.

2a + 3a - 15 = 5 ⇒ 5a - 15 = 5

add 15 to both sides of the equation. on the left side, -15 and 15 cancel each other out because -15 + 15 = 0, leaving you with only 5a. on the right side of the equation, you have 5 - 15, which equals -10.

now your equation is 5a = -10.

divide both sides of the equation by 5. on the left side of the equation, you have 5a/5, which equals 1a, or a. on the right side, you have -10/5, which equals -2.

therefore a = -2.

now plug in -2 for a in b = a - 5 in order to solve for b!

b = a - 5 ⇒ b = -2 - 5

subtract -2 - 5.

b = -2 - 5 ⇒ b = -7

therefore b = -7.

your solutions are a = -2 and b = -7 :) i hope this helps! have a great day <3

Find the solution set of the inequality

8x - 8 ≤ -72

Answers

The answer is inequality is x< -8 u see for the right next to -72 the pattern like that I don’t have it so the less than has the under line

Answer:

x ≤ -8

Step-by-step explanation:

8x-8  ≤ -72

   +8     +8

8x ≤ -64

divide by 8

8x/8 ≤ -64/8

x ≤ -8

When can we say that a function is continuous?

Answers

Saying a function f is continuous when x=c is the same as saying that the function's two-side limit at x=c exists and is equal to f(c).

Plzzzzz help!
What is the perimeter of the composite figure?

Answers

Answer:

107.5 cm

Step-by-step explanation:

find the length of the missing side of triangle which is 22.5 rounded then add all the sides together

Please help me id you want BRIANLEIST!!! :)) ty!!!

Answers

Answer:

5/3

Step-by-step explanation:

4 × x = (6×3+2)/3

---> 4x = 20/3

----> x = 20/12

----> x=5/3

Hope it helps

Answer:

5/3

Step-by-step explanation:

m + 1 = 8

But what’s the m=__

Answers

Answer:m= 7.

Step-by-step explanation: first you do 8-1. 8-1 gives you 7. Therefore m=7

Answer: m = 7

Explanation: When you're asked to solve for m in an equation, what you're really being asked to do is to get m by itself on one side of the equation.

In this problem, since 1 is being added to m, in order to get m

by itself, we must subtract 1 from the left side of the equation.

If we subtract 1 from the left side of the equation, remember that

we must also subtract 1 from the right side of the equation.

So on the left, +1 and -1 cancel each other out

and on the right, 8 - 1 simplifies to 7.

So m = 7.

21.6/12x = 34.2 does anyone know how to do this?

Answers

Answer:

x = 32.6

Step-by-step explanation:

Please share the instructions:  "Find the value of x ... "  Also, indicate whether x is in the numerator or denominator.

If in the numerator, then we have (12.6/12)x = 34.2.

Multipying both sides by (12/12.6) yields 34.2(12/12.6), or x = 32.6

Find the slope of the line

Answers

Answer:

-1

Step-by-step explanation:

Using rise over run for the two points

4 - 0/ -1 - 3 = -1

Answer:

We found 2 coordinates

1. ( 0 ,3)

2.(3,0)

Now slope = tan theta = 3/3 = 1

Answer is 1

Mark it as brainlist answer

Step-by-step explanation:

The graph of a linear function is often a parabola.
True or False

Answers

False




.......
.........

A linear function has a graph as a straight line so the given statement is False.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

A linear function is given by

y = mx + c where m is the slope and constant.

Since it is constant it means it should be a straight line in coordinate geometry.

Therefore a linear function always makes a straight line, not a parabola.

Hence "A linear function has a graph as a straight line so the given statement is False".

For more about the linear function,

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James has 838 feet of rope. There are 17 teams of hikers. If James gives an equal amount of rope to each team, how much rope will each team receive?

Answers

Answer:

838 ÷ 17 = 49.29 feet each

Step-by-step explanation:

divide the total rope by number of hikers equals amount of rope each hiker will receive.

Jay makes $9 an hour plus a 12.5% commission selling jewelry how much does she earn on an 8-hour shift and what she sells $380 worth of jewelry​

Answers

Answer:

117.6    

Step-by-step explanation:

f(x)=3? What is the input value

Answers

Answer: (The explanation is in the image)

You might need to zoom in on it to see

Determine if the expression 10b^2 + b^3/6+ b^5 is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.​

Answers

Answer:

Yes it is a polynomial, Degree: 5, Type: Trinomial

Hope this helps!

Answer:poly of 5

Step-by-step explanation:

mono

If the temperature outside is 60 degrees at 6 pm and then drops by 15% at 10 pm, what is the temperature at 10 pm?

Answers

Answer:

51 degrees

Step-by-step explanation:=Given data

Temperature at 6pm = 60 degrees

percent drop= 15%

= 15/100*60

=0.15*60

=9 degrees

Hence the temperature at 10 pm is 60-9= 51 degrees

Harold cut 18 1/2 noches of ropero that was 60 inches long how much is the length of the remaining rope un inches written un decimals f From

Answers

Answer:

41.5

Step-by-step explanation:

If you do 60- 18.5 (1/2 = 0.5), you get about 41.5 inches left of the rope

I need help how to get the answer please help!

Answers

Answer:

w=10

Step-by-step explanation:

You would have to set 5w-4=46.

5w-4=46

Add 4 to both sides

5w=50

Divide both sides by 5

w=10

Answer:

W=10

Step-by-step explanation:

5w-4 and 46 are vertical angles which means they are congruent, so you set them as equal to each other and alive from there

can someone please help me I only have a few minutes ​

Answers

Answer:

(x + 8)(y - 3)

Step-by-step explanation:

Since you have a few minutes left, I will make this quick.

Focus on one letter within the trapezoid ABCD. Pick a certain letter that can correlate to trapezoid A'B'C'D'.

If we move B to B', we would notice it takes 8 skips,therefore (x + 8). If we do the same for y, we would notice it takes 3 skips down. Therefore (y - 3)

help me pls kinda stuck lol

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

To find the x- intercepts , let y = 0 , that is

6x - x² = 0 ← factor out x from each term

x(6 - x) = 0

Equate each factor to zero and solve for x

x = 0

6 - x = 0 ⇒ x = 6

Coordinates of P (6, 0 )

(b)

The axis of symmetry is a vertical line, positioned at the midpoint of the zeros

x = [tex]\frac{0+6}{2}[/tex] = [tex]\frac{6}{2}[/tex] = 3

Equation of axis of symmetry is x = 3

(c)

Given a parabola in standard form y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

y = 6x - x² = - x² + 6x ← is in standard form

with a = - 1, b = 6 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{6}{-2}[/tex] = 3

Substitute x = 3 into y = 6x - x² for y- coordinate

y = 6(3) - 3² = 18 - 9 = 9

coordinates of maximum point = (3, 9 )

the sum of three consecutive even numbers is 78,find the number​

Answers

Answer:

24, 26, 28

Step-by-step explanation:

The final number is 78

first we can divide 78/3= 26

so 26+26+26= 78

we can leave the middle 26 but we can give 2 from the first number to the last number

24+26+28=78

(This might be wrong but i tried my best)

what would be the reminder of 20,000 divided by 24 ?

Answers

Answer:

I think 2500..not sure tho

Step-by-step explanation:

April buys a necklace that cost $38.25. There is a 6% sales tax. What is the total cost?

Answers

Answer:

$40.55

Step-by-step explanation:

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