Given the following three points, find by hand the quadratic function they represent.
(0,6), (2,16), (3, 33)
(1 point)
f(x) = 4x2 – 3x + 6
f(x) = -4x2 – 3x + 6
Of(x) = -4x2 + 21x + 6
Of(x) = 4x2 + 3x + 6

Given the following three points, find by hand the quadratic function they represent.
(-1,-8), (0, -1),(1,2)
(1 point)
O f(x) = -3x2 + 4x - 1
O f(x) = -2x2 + 5x - 1
Of(x) = -5x2 + 8x - 1
O f(x) = -3x2 + 10x - 1


Find the equation of a parabola that has a vertex
(3,5) and passes through the point
(1,13). (1 point)
Oy=2(x – 3)' + 5
Oy= -2(x – 3)' + 5
Oy= -3(x – 3)' +5
Oy= 2(x + 3)" - 5

Determine if the following set of ordered pairs represents a quadratic function. Explain.
(5, 7), (7, 11), (9, 14), (11, 18)
(1 point)
The y-values go up by the square of the x-value (22 = 4). Therefore, the ordered pairs represent a quadratic equation.
The y-values go up by the square of the x-value (22 = 4). Therefore, the ordered pairs do not represent a quadratic equation.
Since the differences between the differences of the y-values is not consistent, the ordered pairs do not represent a quadratic equation.
Since the differences between the x-values is 2 and the differences between the y-values is 4, that means that the differences between the differences
of the y-values are all zero. Therefore, the ordered pairs represent a quadratic equation.

Determine if the following table represents a quadratic function. Explain.
х
1
2
3
4.
5
y 13 22 37 58 85
(1 point)
O The differences between the differences of the y-values is a constant 6, so the ordered pairs do not represent a quadratic equation.
The differences between the y-values is a constant 9, so the ordered pairs represent a quadratic equation.
The differences between the differences of the y-values is a constant 6, so the ordered pairs represelo a quadratic equation.
The differences between the y-values is a constant 9, so the ordered pairs do not represent a quadratic equation.

i’m in a rush :( pls help

Answer:

Tan D = 7 / 4

Sin D = 7 / 8.1

Cos D = 4 / 8.1

IG = 4.95 Cm

Step-by-step explanation:

In question number 3

Tan D = Perpendicular / Base

Tan D = 7 / 4

Sin D = Perpendicular / hypotenuse

Sin D = 7 / 8.1

Cos D = Base / hypotenuse

Cos D = 4 / 8.1

In question number 4

Tan 68° = IG / GH

2.475 = IG / 2

IG = 4.95 Cm

Answer:

5.36

Step-by-step explanation:

tan 15 = x / 20

x = 40 - 34.64

x = 5.36

Answer:

1. A=3x^4y^4 2.B= 2^6=64

Step-by-step explanation:

hope this helps pls mark brainliest

Answer:

x = 1 ±[tex]\sqrt{119i}[/tex]/ 4

Step-by-step explanation:

[tex]2x^{2} -x +15[/tex] = 0

Use the quadratic formula:

x = 1 ±[tex]\sqrt{119i}[/tex]/ 4

I hope this helps...

And plz mark me brainliest!!1

Answer:

1425 square kilometer.

Step-by-step explanation:

2900 - 8.5% = 2653.5

2653.5 - 8.5% = 2427.9525

2427.9525 - 8.5% = 2221.5765375

2221.5765375 - 8.5% = 2032.74253181

2032.74253181 - 8.5% = 1859.95941661

1859.95941661 - 8.5% = 1701.8628662

1701.8628662 - 8.5% = 1557.20452257

1557.20452257 - 8.5% =1 424.84213815 ≈ 1425

Answer:

The 8 pack is the better deal.

Step-by-step explanation:

To get the answer you do the following:

Find the price of one pack for each;

1/12*5= $0.42( cost of one pack for the 12 pack part)

1/8*3= $0.38( cost of one pack for the 8 pack part)

The answer is that the 8 pack is cheaper .

Answer:

  (3.5, 17)

Step-by-step explanation:

It would be nice to see the whole graph, so we can see where the functions cross.

Without that information, we can still eliminate unreasonable choices.

A) the quadratic at y=3.5 is well above the exponential

B) the most likely choice (3.5, 17)

C) at x=-8, the quadratic is above the exponential

D) neither graph goes anywhere near y = -8

Hey there!

5/8 + 14 = ?

We can say 14 is equal to 14/1 beause it doesn't have a denominator and we will need to solve for your equation

14 * 8 = 112 (upcoming numerator for now)

8 * 1 = 8 (upcoming denominator for now)

5 stays alone

New equation 5 + 112 / 8

5 + 112 = 117 (numerator)

8 = 8 (demominator)

Answer: 117/8 (if you're looking for the improper fraction version) ; 14 5/8 (if you're looking for the mixed number version) ; 14.625 (if you're looking for the decimal version of it)

⬆ ANY one of these choices SHOULD work

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

Below

Step-by-step explanation:

Imagine our window has 4 panes (picture below)

Let T be the total number of panes:

There are 12 windows at total.

●T = 4×12

Notice that:

● 4 = 2×2

● 12 = 4×3 = 2×2×3

● T = 2×2×2×2×3 = 2^4×3

Answer:

2 sqrt(2)

Step-by-step explanation:

h(x) = 2x-8

g(x) = sqrt( x-4)

g(h(10))

First find h(10)

h(10) = 2*10 -8 = 20-8 =12

Then find g(h(10) = g(12) = sqrt( 12-4)

                                = sqrt(8) = sqrt(4*2) = sqrt(4) sqrt(2) = 2 sqrt(2)

Answer:

a

Step-by-step explanation:

edge 2021

Answer:

3/5

Step-by-step explanation:

What divisor is represented by the synthetic division below? x + 5. One factor of  x^3+x^2+x+1. If f(-5) = 0, what are all the factors of the function mc022-... -4 and 3. The polynomial function f(x) = 5x5 + 3x - 3 is graphed below. The root at point P maybe 3/5  3.

The potential rational roots are: [tex]\pm 1, \pm \frac{1}{5}, \pm 3,\pm \frac{3}{5}[/tex]

The rational root theorem is used to determine the possible rational roots of a polynomial function

The equation of the function is given as:

[tex]f(x) = 5x^5 +\frac{16}{5} x -3[/tex]

Considering a polynomial function, f(x).

Such that:

[tex]f(x) = px^n + .......... +q[/tex]

The possible rational roots are:

[tex]Roots =\pm \frac{Factors\ of\ q}{Factors\ of\ p}[/tex]

So, we have:

[tex]Roots =\pm \frac{Factors\ of\ 3}{Factors\ of\ 5}[/tex]

List the factors of 3 and 5

[tex]Roots =\pm \frac{1,3}{1,5}[/tex]

Split

[tex]Roots =\pm \frac{1}{1}, \pm \frac{1}{5}, \pm \frac{3}{1},\pm \frac{3}{5}[/tex]

Simplify

[tex]Roots =\pm 1, \pm \frac{1}{5}, \pm 3,\pm \frac{3}{5}[/tex]

Hence, the potential rational roots are:

[tex]\pm 1, \pm \frac{1}{5}, \pm 3,\pm \frac{3}{5}[/tex]

Read more about potential rational roots at:

https://brainly.com/question/7594092

Answer:

-2y(y + 4)

Step-by-step explanation:

-10y^2 - 3y - (5y - 8y^2)

= -10y^2 - 3y - 5y + 8y^2

= -2y^2 - 8y

= -2y(y + 4)

Answer:

d

Step-by-step explanation:

The inscribed angle ABC is half the measure of its intercepted arc, thus

arc AX = 2 × 64° = 128°

The secant- tangent angle ACB is half the difference of the measures of its intercepted arcs, thus

∠ ACB = [tex]\frac{1}{2}[/tex] ( 152 - 128)° = 0,5 × 24° = 12° → d

Answer:

Part A : see composition process below

Part B :    [tex]Domain=\{x\,|\,x\neq 0\}[/tex]

Step-by-step explanation:

Part A

Let's use the composition of functions to find if they give the identity : [tex]f(g(x))=x[/tex]  thus proving they are the inverses of each other:

[tex]f(g(x))=f(\frac{5x+1}{x} )=\frac{1}{\frac{5x+1}{x}-5} =\frac{1}{\frac{5x+1-5x}{x}} =\frac{1}{\frac{1}{x} } =x[/tex]

So we have proved they are the inverses of each other.

Part B

Given that the composition is:

[tex]f(g(x))=\frac{1}{\frac{1}{x} }[/tex]

the Domain must exclude x=0, for which this quotient is undefined.

The Domain is then:

[tex]Domain=\{x\,|\,x\neq 0\}[/tex]

Answer:

[tex]5\frac{3}{5}[/tex]

Step-by-step explanation:

[tex]4*1\frac{2}{5} = 4 * \frac{7}{5} = \frac{28}{5} = 5\frac{3}{5}[/tex]

Answer:

[tex]\boxed{ 5\frac{3}{5}}[/tex]

Step-by-step explanation:

[tex]\displaystyle 4 \times 1\frac{2}{5}[/tex]

[tex]\sf Convert \ mixed \ fraction \ into \ improper \ fraction.[/tex]

[tex]\displaystyle 4 \times \frac{7}{5}[/tex]

[tex]\sf Multiply.[/tex]

[tex]\displaystyle \frac{28}{5}[/tex]

[tex]\sf Convert \ improper \ fraction \ into \ mixed \ fraction.[/tex]

[tex]\displaystyle 5\frac{3}{5}[/tex]

Answer:

parallel

Step-by-step explanation:

We are cutting in the same direction as the base, so the slices is parallel to the base

Answer:

y<-8

Step-by-step explanation:

y<-1 - 7

y<-8

Answer:

y < -8

Step-by-step explanation:

To solve an inequality, we must get the variable, y, isolated on one side of the inequality.

[tex]y+7 < -1[/tex]

7 is being added to the variable, y. The inverse of addition is subtraction. Subtract 7 from both sides of the inequality.

[tex]y+7-7< -1-7[/tex]

[tex]y < -1-7[/tex]

[tex]y < -8[/tex]

The solution to the inequality is: y< -8

Answer:

Kindly see explanation

Step-by-step explanation:

Given the following :

Amount of water in cooler = 144 ounces

Size of Will's water bottle = 16 ounces

Therefore, the amount of water left after filling his water bottle :

144 ounces - 16 ounces = 128 ounces of water.

The 128 ounces left was used to equally fill 16 plastic cups :

Therefore the number of ounces of water put in each cup equals :

(128 ounces ÷ 16 cups) = 8 ounces.

The maximum number of ounces of water will could have put in each cup is 8 ounces

Thus (0 < x ≤ 8)

See graph below

Answer:

The tragedy of the commons in fourteenth-century England was overcome by the common lands being enclosed and privatized.

Step-by-step explanation:

The Commons tragedy refers to a popular economic narrative that explains why common assets appear to be overused from a social point of view. The story-line is focused on the premise that each person tries to get as much profit as possible from the available resource. As per the question, the land available for grazing was limited and solution can be opted through enforcing regulations, auctioning out a limited number of licenses, or transforming the common good into a private good.

Answer:

1/24

Step-by-step explanation:

Answer:

1/24 makes this equation true

Answer:

d

Step-by-step explanation:

Answer:

[tex]\boxed{to\ explain\ the\ most\ important\ ideas\ in\ the\ text}[/tex]

Step-by-step explanation:

The purpose of the central idea is to explain the central/most important ideas in the theme. Central idea provides the explanation of the most important i.e. central ideas of the text. So, the central idea provides the explanation of central ideas of the text as the name indicates.

Answer:

to explain the most important ideas in the text

Step-by-step explanation:

the person above me is corrwct

Answer:it is 5/7

Step-by-step explanation: the formula for slope is rise/run divide and you get 5/7

Answer:

slope = [tex]\frac{5}{7}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (2, - 2) and (x₂, y₂ ) = (9, 3)

m = [tex]\frac{3+2}{9-2}[/tex] = [tex]\frac{5}{7}[/tex]

Answer:

John ran at a faster rate

Step-by-step explanation:

If john runs 1/2 mile in 5 minutes, then for him to run 1 mile it would take 10 minutes because it takes john 5 minutes for every half of a mile. Now Al runs 1/3 mile in 4 minutes. If he would run 1 mile, it would take him 12 minutes because it takes him four minutes every third mile.  

1/3 : 4    =       3/3 : 12        Al

1/2 : 5    =     2/2 : 10           John

From both of the rations John ran faster

Answer:

approximately 5.36

Step-by-step explanation

20 - 9.28 = 10.72

BD = EC

10.72/2 = 5.36

Answer:

Step-by-step explanation:

how do i circle? i know answer but how to tell you?

Answer:

C. Two lines are perpendicular if they have opposite slopes

Step-by-step explanation:

Hey there!

Well 2 lines that are perpendicylar have reciprocal slopes for example,

2 and 1/2 are 2 slopes that are perpendicular.

Hope this helps :)

Answer:

Area: [tex]50\pi -100[/tex]

Perimeter: 20[tex]\pi[/tex]

Step-by-step explanation:

If we take half of one of these "pedals" we can see that it is simply 1/4 of a circle with radius 5, subtracted by a triangle. Let's calculate this half-pedal.

[tex]1/4(25 \pi) - 1/2(5* 5)[/tex]

That means 4 pedals is equal to:

[tex]8(1/4(25\pi) - 1/2 (25))[/tex]

[tex]50\pi - 100[/tex]

So.. The area of the shaded region is [tex]50\pi -100[/tex]

Perimeter is even simpler. the half-pedal is just 1/4 of the circumference of the circle. The circumference is just [tex]10\pi[/tex], which means our half pedal is:

[tex]1/4(10\pi )[/tex]

Multiplying by 8, our perimeter is just 20[tex]\pi[/tex].

Answer:

Table B represents a linear function.

Step-by-step explanation:

Table B is a linear function because y goes up by a constant, steady rate of 4 every time x goes up by one.

Answer:

  P(-3) = -2

Step-by-step explanation:

Substitution

P(-3) = 4(-3)^2 +10(-3) -8 = 36 -30 -8

P(-3) = -2

__

Long Division

See the working below. The remainder is -2, so ...

  P(-3) = -2