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The zero of the equation [tex]6 = -16x^2 + 24x + 1[/tex] represents the moment when the ball is 6 ft above the ground.

Given that,

The height y, in feet, of a football x seconds, after it is thrown is modeled by the equation,

[tex]\rm y = -16x^2 + 24x + 1.[/tex]

We have to determine,

What information does the zero of the equation [tex]6 = -16x^2 + 24x + 1[/tex] represent?

According to the question,

In the quadratic equation for the ball's height, it is found that the zero of the equation represents,

[tex]\rm 6 = -16x^2 + 24x + 1[/tex]

The instant of the time x is when the ball is 6 ft above the ground.

The height of the ball is y(x), after x seconds, is modeled by:

[tex]\rm y = -16x^2 + 24x + 1.[/tex]

The equation given is,

[tex]\rm 6 = -16x^2 + 24x + 1[/tex]

In which the height is 6 feet above the ground, and the zeroes are the instants of time when the ball is 6 ft above the ground.

Hence, These points represent the moment when the ball is 6 ft above the ground.

For more details about the Quadratic equation refer to the link given below.

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The Hectora's rate of work in part per hour is 18 hours

Given the following parameters:

Taking the sum of the reciprocals of the time taken;

1/6 = 1/9 + 1/r

1/r = 1/6 - 1/9

1/r = 9-6/54

1/r = 3/54

Cross multiply

3r = 54

r = 54/3

r = 18 hours

Hence the Hectora's rate of work in part per hour is 18 hours

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Answer:

Step-by-step explanation:

1/9

Answer:

4x (x - 2y)

Step-by-step explanation:

Pull out what factors they both have and put it outside the parentheses, put the rest inside after dividing.

The factoring of the algebraic form 4x² - 8xy is 4x(x - 2y).

Algebraic form is a mathematical form whose presentation involves symbols or letters to represent unknown numbers.

1. Variables, Constants and Coefficients

Pay attention to the algebraic form 3x + 2y + 3

From the algebraic form above, x and y are variables (variables), while the number 3 is a constant. A variable is a substitute symbol for a number whose value is not clearly known. While constants are terms of an algebraic form in the form of numbers and do not contain variables.

And what is meant by the coefficient is the constant factor of a term in algebraic form. The coefficient on the 3x term is 3, on the 2y term it is 2.

2. Terms and Factors

» The term is part of the algebraic form which is limited by the operation of addition (+) or difference (-). The term one is an algebraic form that is not connected by the operation of addition or difference.

Example: 2x, 2a², -4xy, . . .

» Term two is an algebraic form that is connected by an operation of sum or difference.

Example: 2x + 3, a² - 4, 3x² - 4x, . . .

» Similar terms in algebraic form are terms that have the same variable and the same power.

Example:

2a is similar to 3a, 4a, etc.

» Factors are part of the algebraic form that is restricted to multiplication operations.

Example: 5n = 5 × n, 5 and n are factors of 4n, respectively.

1. Addition and subtraction of algebraic forms can only be done on similar terms.

2. Multiplication and division of algebraic forms.

Multiply two terms by constants or variables.

Example:

3 (4y + 5)

= (3 × 4y) + (3 × 5)

= 12y + 15

Division of two terms with a variable or constant, for example:

(8y+4)/2 = 8y/2 + 4/2 = 4y + 2

4x² - 8xy

= 4xx - 8xy

= 4xx + 2 × 4xy

= 4x (x - 2y)

So, The factoring of the algebraic form 4x² - 8xy is 4x(x - 2y).

(mampir ke indo:v)

_____________

Answer:

Only b is correctly simplified.

Step-by-step explanation:

They intersect at a point called the centroid. See the attached sketch.

Answer:16.667%

Step-by-step explanation:

140 - 120 = 20

20 / 120 = 16.667%

Answer:

What is the formula for pricing?

Retail Price = Cost of Goods + Markup. Markup = Retail Price – Cost of Goods. Cost of Goods = Retail Price – Markup.

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

When you reflect across the y axis the numbers stay the same but the x coordinates become negative.

So the new coordinates are:

F(-4, 6)

G (-9, 6)

H (-7, 1)

I (-4, 0)

J (-1, 3)

Answer:

(1.25c) + (1p) ≥ 25

c is the amount of chocolate chip cookies

p is the amount of peanut butter cookies

Step-by-step explanation:

Answer:

1 and 3

Step-by-step explanation:

Answer:

B) N is the midpoint of line segment JL.

D) MN = 1/2 KJ

Step-by-step explanation:

edgeeee

Given that £ 42 is distributed among 3 friends.

So, each will get

Answer:

3.46 but if you simplify it is 3.5

Step-by-step explanation:

Answer:

3.46410161514

Step-by-step explanation:

Answer:

where are you from

can you be my friend

I'm from Australia and you

7.62

Step-by-step explanation:

Refer to the attachment.

=》y = -10

_____

Hope it helps ⚜

The total selling price before tax is $261.96.

The sales tax paid is $15.72.

The total cost is  $277.68.

The total selling price before tax is the sum of the prices of the WWE 2K21, Starbucks Vanilla Coffee,  new Keurig K550 and the jeans

$49.99 + $13.99 + $179.99 + $17.99 = $261.96.

Sales tax is the amount of money levied when a good or service is purchased. It is a percentage of the price of an item

Sales tax = tax rate x cost

6% x $261.96 = $15.72

The total price paid is the sum of the sales tax and the  total selling price.

$15.72 +  $261.96 = $277.68

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We are provided that –

Applying identity –

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf(w-10x) (w+10x)[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf w^2 - (10x)^2[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf w^2 -100 x^2[/tex]

Answer:

b. [tex]a_{12}=-177147[/tex]

Step-by-step explanation:

This is a geometric sequence:

[tex]a_n=a_1x^{n-1}[/tex]

where n is the index in the sequence and x is the common scale factor.

In the given sequence here, the common factor is 3:

[tex]-3\div-1=3\\-9\div-3=3\\-27\div-9=3[/tex]

That's the factor, and we know the first term is -1, so you can write the equation for this sequence:

[tex]a_n=(-1)(3)^{n-1}[/tex]

Finally, plug in 12 for n and solve:

[tex]a_{12}=(-1)(3)^{12-1}\\a_{12}=(-1)(3)^{11}\\a_{12}=(-1)177147\\a_{12}=-177147[/tex]

Answer:

$7,507

Step-by-step explanation:

[tex](1)\\\\|2x-4| =10\\\\\implies 2x-4 = 10~~ \text{or}~~ 2x -4 = -10\\\\\implies x = \dfrac{14}2 = 7 ~~\text{or}~~ x = -\dfrac{6}2=-3\\\\\\(2)\\\\-5|-4x+4|-7 = -67\\\\\implies -5|-4x+4| = -67 +7 = -60\\\\\implies |-4(x-1)| = \dfrac{-60}{-5}=12\\\\\implies 4|x-1| = 12\\\\\implies |x-1| =\dfrac{12}4 = 3\\\\\implies x-1 = -3~~\text{or}~~ x-1=3\\\\\implies x = -2~~ \text{or}~~ x = 4[/tex]

Answer:

$500

Step-by-step explanation:

what I did was find the diffrence in 2002 and 2008 and its 6 and the difference between $200 and $350 its 150 so now you find the difference between 2008 and 2020 its 12 thats 2 times more than 6 so you need to do the same to the money and add 150 to 350 and its 500.

2002 - 2008 = 6       2008 - 2020 = 12

$200 - $350 = 150    $350 + 150 = $500

Answer:

Below.

Step-by-step explanation:

Using Pythagoras theorem, let's find y.

=> y² = 3² + 3²

=> y² = 9 + 9

=> y² = 18

=> y = √18

=> y = 4.24 (Estimated)

Unfortunately, there is no options of 'y = 4.24'. Please re-check the options you posted.

Hoped this helped.

Answer:

D

Step-by-step explanation:

Answer:it’s distributive property

Step-by-step explanation:

Answer:

All

Step-by-step explanation:

Applying the required rule or theorem, it can be concluded that the second biker is farther from the parking lot. The distance of the bikers to the parking lot are:

i. First biker = 17.0 km

ii. Second biker = 20.22 km

The path of travel of both bikers would form a triangle. Applying the Pythagoras theorem to the path of the first biker would give his distance from the starting point. While applying the cosine rule to the path of second rider would gives his distance to the starting point.

Thus,

a. To determine the distance of the first biker from the parking lot.

Let the required distance be represented by x. Applying the Pythagoras theorem, we have:

[tex]hyp^{2}[/tex] = [tex]adj 1^{2}[/tex] + [tex]adj 2^{2}[/tex]

[tex]x^{2}[/tex] = [tex]8^{2}[/tex] + [tex]15^{2}[/tex]

   = 64 + 225

   = 289

x = [tex]\sqrt{289}[/tex]

  = 17

x = 17 km

Thus, the first biker is 17.0 km from the starting point.

b. To determine the distance of the second biker from the parking lot.

Let the required distance be represented by x. So that applying the cosine rule, we have:

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos θ

[tex]x^{2}[/tex] = [tex]8^{2}[/tex] + [tex]15^{2}[/tex] - 2(15*8) Cos (180 - 20)

    = 64 + 225 - 240 Cos 160

    = 289 - 240 * -0.5

[tex]x^{2}[/tex] = 289 + 120

   = 409

x = [tex]\sqrt{409}[/tex]

 = 20.2237

x = 20.22 km

Thus, the second biker is 20.22 km from the starting point.

Therefore, the second biker is farther from the parking lot.

A sketch of the path of travel for the two bikers is attached for more clarifications.

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Answer:

x=18

Step-by-step explanation:

10-(-8)=18

Answer:

Not a Function.... hope you pass!

Answer: yes these lines are

Answer:

yes

Step-by-step explanation:

Perpendicular lines intersect eachother