What equation models the data in the table if d = number of days and c = cost?

Answer: I don’t know sorry

9514 1404 393

Answer:

  A.  f(x) = (x -3)² -1

  B.  vertex: (3, -1); axis of symmetry: x=3; x-intercepts: {2, 4}; y-intercept: 8

  C.  see attached for a graph

Step-by-step explanation:

A. Put the function in vertex form by completing the square. Start by putting parentheses around the terms containing x.

  f(x) = (x² -6x) +8

Now, identify the coefficient of x (-6) and square half of that. (-6/2)² = 9. Add this value inside parentheses, and subtract this value outside parentheses.

  f(x) = (x² -6x +9) +8 -9

Rewrite the trinomial in parentheses as a square. The constant in the binomial will be the value you squared in the previous step.

  f(x) = (x -3)² -1 . . . . . vertex form; a(x -h)²+k for vertex (h, k)

__

B. The vertex and the axis of symmetry can be read from the equation. Here, the vertex is (3, -1). The axis of symmetry is the vertical line through the vertex: x = 3. The x-intercepts are found by solving f(x) = 0.

  f(x) = 0

  (x -3)² -1 = 0

  (x -3)² = 1 . . . . . add the opposite of the 'k' value

  x -3 = ±√1 . . . . take the square root. We need both signs.

  x = 3 ± 1 . . . . . add 3 to get x by itself. These are the x-intercepts.

  x = 3-1 = 2  and  x = 3+1 = 4

The x-intercepts are 2 and 4, points (2, 0) and (4, 0).

The y-intercept is the value of f(0). It is the constant in the original form of the function. f(0) = 8 . . . . y-intercept

__

C. The graph is attached. The various points above are marked, and the axis of symmetry is shown.

Answer:

b = 6

Step-by-step explanation:

Let's solve for b.

(3x−1)2=9x2−bx+1

Step 1: Flip the equation.

−bx+9x2+1=9x2−6x+1

Step 2: Add -9x^2 to both sides.

−bx+9x2+1+−9x2=9x2−6x+1+−9x2

−bx+1=−6x+1

Step 3: Add -1 to both sides.

−bx+1+−1=−6x+1+−1

−bx=−6x

Step 4: Divide both sides by -x.

b = 6

Hope this helpss!!!

Step-by-step explanation:

how do you show work cuz I screenshot it but it won't let me write over the thing and put the answer so can I just type it out

Answer:

The bike will cost $481.50

because

10% off of 500 is 50

so 500 - 50 = 450

Now include the sales tax which is

450 * 0.07 = 31.5

Now add the two totals to get

$481.50

Answer:

sorry i am struggling the same

Step-by-step explanation:

2+2=4

The answers to each part are mentioned below.

Given is a piece of paper is 0.1 millimeter thick. When folded, the paper is twice as thick.

We can write the geometric sequence as -

0.1, 0.2, 0.4, 0.8 ......

        a{n} = arⁿ ⁻ ¹

        where [r] is the common ratio.

For the geometric sequence -

0.1, 0.2, 0.4, 0.8 ......

If the paper is folded 7 times, we can write the thickness as -

y{7} = (0.1)(2)⁶ = (0.1) x (64) = 6.4

To surpass the Mount Everest, we can write -

8850 < (0.1)(2)ⁿ ⁻ ¹

(2)ⁿ ⁻ ¹ > 88500

(2)ⁿ/2 > 88500

(2)ⁿ > 177000

n log(2) > log(177000)

n > {5.25/log(2)}

n > 17.44

n > 18

Therefore, the answers to each part are mentioned above.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

Answer:

17/7 or 2 3/7

Step-by-step explanation:

3 is the same as 21/7. Subtract 21/7-4/7 to get 17/7.

Hope it helps!

Hey there. Hope you're having a pleasant morning/evening and wherever else in between. The answer of 3-4/7, as far as I can remember, is -1/7.

Answer:

79239729379249

Step-by-step explanation:

your aswer is 284389300 oo

4,610 divided by 16 is 288.125

Work:

Answer:$439.32 us$

Step-by-step explanation: $10.46 x 42

Answer:

439.32

Step-by-step explanation:

I took da test

Answer:

5656 m^3

Step-by-step explanation:

Volume of a cylinder can be calculated using below formula

V = πr²h

Where

h= height =18m

r= radius= radius = 10m

If we substitute the values we have

V = π × (10)²× 18

= 5655.6 m^3

= 5656 m^3

Answer: 5654.9

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

35/10 = 3.5

Answer: $80.44

Step-by-step explanation:

First of all, find 20% of 78.86, which is approximately 15.77.

Then, add it to the cost of the meal.

Finally, discount 15% of 94.63, which is approximately $14.19, and then subtract it from $94.63, and there's your answer.

Answer:

 {x,y} = {3/7,-43/7}

Step-by-step explanation:

System of Linear Equations entered :

  [1]    x + 3y = -18

  [2]    -x + 4y = -25

Graphic Representation of the Equations :

   3y + x = -18        4y - x = -25  

Solve by Substitution :

// Solve equation [1] for the variable  x  

 [1]    x = -3y - 18

// Plug this in for variable  x  in equation [2]

  [2]    -(-3y-18) + 4y = -25

  [2]    7y = -43

// Solve equation [2] for the variable  y  

  [2]    7y = - 43  

  [2]    y = - 43/7  

// By now we know this much :

   x = -3y-18

   y = -43/7

// Use the  y  value to solve for  x  

   x = -3(-43/7)-18 = 3/7  

Solution :

{x,y} = {3/7,-43/7}

7853.98mm

Step-by-step explanation:

Circumference is pi times diameter so the diameter is 100 millimeters

Diameter is 2 times the radius so the radius is 50 millimeters

Area is pi times the radius squared so the area is about 7853.98 millimeters squared

Answer:

A = 795.77

Step-by-step explanation:

Using the formulas

A=πr2

C=2πr

Solving forA

A=C2

4π=1002

4·π≈795.77472

Answer:

6x+11

Step-by-step explanation:

6+2x+5+4x

4x+2x+6+5

(4x+2x)+(6+5)

6x+11

Answer:

6x +11

Step-by-step explanation:

group like terms (terms with the same variable and powers) together

(2x+4x) + (6+5)

6x +11

Answer:

1.5 in

Step-by-step explanation:

if one quarter of an inch represents 50 mi then and we know 50 x 6 = 300 then you would need 6 fourths of an inch or one and a half inches.

Answer: 10 i just had this question

ep-by-step explanation:

Answer:

18

Step-by-step explanation:

Just find the other 60 percent of 30 so just multiply it by 6/10 which is 18

Given:

The table of values for Fallon's earnings in terms of Donald's earnings.

To find:

The equation that best represents Fallon's earnings in terms of Donald's earnings.

Solution:

In the given table the x-values are increasing by 5 units and  y values increasing by 5 units. It means the rate of change of y with respect to x is constant and the table represents a linear function.

If the graph of a linear function passes through two points, then the equation of linear function is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Consider any two points from the table. Let the two points are (38,45) and (43, 50). Then, the equation is

[tex]y-45=\dfrac{50-45}{43-38}(x-38)[/tex]

[tex]y-45=\dfrac{5}{5}(x-38)[/tex]

[tex]y-45=1(x-38)[/tex]

[tex]y-45=x-38[/tex]

Adding 45 on both sides, we get

[tex]y=x-38+45[/tex]

[tex]y=x+7[/tex]

Therefore, the correct option is A.

Answer:

The Correct Answer is 4!

Step-by-step explanation:

We know on triangle 1 that 2 of the sides are 2 and 4 and there a right angle, an angle that has 90 degrees

with this we can calculate the top angle to be 26.565 which combined on both sides is equal to 90, lust you will then have to subtract 90 minus 26.565 and you will get 63.435. Now that we know than the top angle is equal to 63.435, the 2nd angle is equal to 90 degrees which by the way resembles a right angle, and that 1 side of the 3 sides is 2 we can conclude though the triangle formula that...

X=4.

That's it Hope I Helped.

Answer:

the answer is five because 3 times 5 is 15

Step-by-step explanation:

Answer:

Equation : - three times a number is equal to 15

3x = 15

x = 15 ÷ 3

x = 5

Answer:

its 1

Step-by-step explanation:

look it up big dig daddy

Answer:

it's 2.5 inches cool profile pic to

Step-by-step explanation:

Step-by-step explanation:

[tex] {7x}^{2} + 3 - 5x - {2x}^{2} \\ = {5x}^{2} - 5x + 3[/tex]

Answer:

Are there set answers? Ill edit my answer after.

Step-by-step explanation:

Answer:

[tex]a)5y + 15 \\ b)4a + 8 \\ c)8w + 80 \\ e)9s - 9 \\ \: f)16 - 2t \\ \: g)28 + 7h \\ \: i)12y + 8 \\ \: 6)10p - 5 \: \\ k)21a + 6[/tex]

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